Metrics for Falkner and Boettcher, Equation (22+)

start0.0ms (0.0%)

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

analyze4.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	1
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	2
0.0%	0.0%	50.0%	0.0%	0.0%	50.0%	0.0%	3
50.0%	25.0%	25.0%	0.0%	0.0%	50.0%	0.0%	4
75.0%	37.5%	12.5%	0.0%	0.0%	50.0%	0.0%	5
87.5%	43.7%	6.2%	0.0%	0.0%	50.0%	0.0%	6
93.8%	46.9%	3.1%	0.0%	0.0%	50.0%	0.0%	7
96.9%	48.4%	1.6%	0.0%	0.0%	50.0%	0.0%	8
98.4%	49.2%	0.8%	0.0%	0.0%	50.0%	0.0%	9
99.2%	49.6%	0.4%	0.0%	0.0%	50.0%	0.0%	10
99.6%	49.8%	0.2%	0.0%	0.0%	50.0%	0.0%	11
99.8%	49.9%	0.1%	0.0%	0.0%	50.0%	0.0%	12

Compiler

Compiled 22 to 18 computations (18.2% saved)

sample1.2s (26.5%)

Memory

21.3MiB live, 1 737.1MiB allocated; 292ms collecting garbage

Samples

946.0ms	8 256×	0	valid
2.0ms	9×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 479.0ms

ival-mult!: 174.0ms (36.3% of total)

ival-sub!: 117.0ms (24.4% of total)

ival-sqrt: 98.0ms (20.5% of total)

ival-div!: 49.0ms (10.2% of total)

adjust: 40.0ms (8.3% of total)

Bogosity

preprocess50.0ms (1.1%)

Memory

-13.2MiB live, 44.7MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	60
1	114	55
2	386	54
3	1885	54

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Status

Accuracy

Program

▶

98.5%

(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))

Symmetry

(abs v)

Compiler

Compiled 40 to 32 computations (20.0% saved)

series35.0ms (0.8%)

Memory

4.0MiB live, 50.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	298	2474

Stop Event

1×	iter-limit

Counts

16 → 51

Calls

Call 1

Inputs
#s(literal 4 binary64)
#s(literal 3 binary64)
(PI.f64)
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 1 binary64)
v
(*.f64 v v)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(literal 2 binary64)
#s(literal 6 binary64)
(.f64 #s(literal 6 binary64) (.f64 v v))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

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

Calls

3 calls:

Time	Variable	Point
7.0ms	v	0
5.0ms	v	inf
2.0ms	v	-inf

rewrite145.0ms (3.1%)

Memory

-7.4MiB live, 177.4MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	85
0	26	85
1	115	83
2	468	83
3	2570	83
0	4123	82

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

16 → 381

Calls

Call 1

Inputs
#s(literal 4 binary64)
#s(literal 3 binary64)
(PI.f64)
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 1 binary64)
v
(*.f64 v v)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(literal 2 binary64)
#s(literal 6 binary64)
(.f64 #s(literal 6 binary64) (.f64 v v))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Outputs
#s(literal 4 binary64)
#s(literal 3 binary64)
(PI.f64)
(.f64 (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))))
(.f64 (neg.f64 (cbrt.f64 (PI.f64))) (.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64)))
(.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (log.f64 (exp.f64 (PI.f64))))
(*.f64 #s(literal 3 binary64) (PI.f64))
(/.f64 (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64))
(+.f64 (log.f64 (*.f64 (exp.f64 (PI.f64)) (exp.f64 (PI.f64)))) (log.f64 (exp.f64 (PI.f64))))
(+.f64 (log.f64 (exp.f64 (PI.f64))) (log.f64 (*.f64 (exp.f64 (PI.f64)) (exp.f64 (PI.f64)))))
(+.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 0 binary64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1 binary64)))
(log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
#s(literal 1 binary64)
v
(.f64 (pow.f64 (.f64 v v) #s(literal 0 binary64)) (*.f64 v v))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 v))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 v))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 v))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 v) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 v) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 v) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 v) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 v))) (neg.f64 (neg.f64 (fabs.f64 v))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 v))) (fabs.f64 v))
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(/.f64 (.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
(/.f64 (.f64 (/.f64 #s(literal -4 binary64) (-.f64 (.f64 v v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(/.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))
(/.f64 (.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(/.f64 (.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))) (.f64 #s(literal -3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64))))
(/.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 4 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 3 binary64)) (PI.f64)))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 3 binary64))) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64))) #s(literal 3 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (PI.f64) #s(literal 3 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 3 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (.f64 #s(literal -3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(/.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(literal 3 binary64)) (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 3 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (.f64 (/.f64 #s(literal -4 binary64) (-.f64 (.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(literal 3 binary64)) (PI.f64)))
(/.f64 (.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))) (.f64 #s(literal -3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(/.f64 (neg.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 (/.f64 #s(literal -4 binary64) (-.f64 (.f64 v v) #s(literal 1 binary64))) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))) #s(literal 3 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 3 binary64)) (PI.f64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (PI.f64))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 #s(literal -3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 3 binary64)) (PI.f64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (/.f64 #s(literal -4/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (/.f64 #s(literal -4/3 binary64) (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal -3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 3 binary64)) (PI.f64))) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 3 binary64)) (PI.f64))))
(neg.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))) #s(literal -4 binary64)))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))))

eval1.2s (26.0%)

Memory

59.8MiB live, 1 496.8MiB allocated; 312ms collecting garbage

Samples

945.0ms

16 384×

valid

Compiler

Compiled 12 222 to 1 928 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

ival-mult!: 226.0ms (74.4% of total)

ival-sub!: 51.0ms (16.8% of total)

adjust: 26.0ms (8.6% of total)

prune12.0ms (0.3%)

Memory

-27.7MiB live, 17.9MiB allocated; 7ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	412	5	417
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	413	5	418

Accuracy

100.0%

Counts

418 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64)))
▶	97.4%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
▶	97.4%	(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
▶	100.0%	(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
▶	98.9%	#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 232 to 194 computations (16.4% saved)

series23.0ms (0.5%)

Memory

34.8MiB live, 34.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	344	3136

Stop Event

1×	iter-limit

Counts

29 → 67

Calls

Call 1

Inputs
#s(literal 4/3 binary64)
#s(literal 1 binary64)
v
(*.f64 v v)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(PI.f64)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64))
#s(literal 2 binary64)
#s(literal 6 binary64)
(.f64 #s(literal 6 binary64) (.f64 v v))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(literal 4 binary64)
#s(literal 3 binary64)
(.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64)))

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

Calls

3 calls:

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

rewrite138.0ms (3.0%)

Memory

2.6MiB live, 237.3MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	274
0	59	272
1	201	270
2	769	270
0	4026	267

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

29 → 666

Calls

Call 1

Inputs
#s(literal 4/3 binary64)
#s(literal 1 binary64)
v
(*.f64 v v)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(PI.f64)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64))
#s(literal 2 binary64)
#s(literal 6 binary64)
(.f64 #s(literal 6 binary64) (.f64 v v))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(literal 4 binary64)
#s(literal 3 binary64)
(.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
(.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64)))

Outputs
#s(literal 4/3 binary64)
#s(literal 1 binary64)
v
(*.f64 (pow.f64 (fabs.f64 v) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 v) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 v) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 v) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 v))) (neg.f64 (neg.f64 (fabs.f64 v))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 v))) (fabs.f64 v))
(*.f64 (pow.f64 (fabs.f64 v) #s(literal 1 binary64)) (pow.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 v) #s(literal 1 binary64)) (fabs.f64 v))
(*.f64 (pow.f64 (neg.f64 v) #s(literal 1 binary64)) (pow.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 v) #s(literal 1 binary64)) (neg.f64 v))
(*.f64 (pow.f64 v (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 v (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)))
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (pow.f64 v #s(literal 1 binary64)) v)
(*.f64 (fabs.f64 v) (neg.f64 (neg.f64 (fabs.f64 v))))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 v v)
(pow.f64 (neg.f64 (fabs.f64 v)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 v) #s(literal 1 binary64)) (pow.f64 (fabs.f64 v) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 v) #s(literal 1 binary64)) (pow.f64 (neg.f64 v) #s(literal -1 binary64)))
(/.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 v) v))
(sqrt.f64 (.f64 (.f64 v v) (*.f64 v v)))
(fabs.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (*.f64 (log.f64 (fabs.f64 v)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 v)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(*.f64 (neg.f64 (-.f64 (fabs.f64 v) #s(literal -1 binary64))) (-.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 (neg.f64 v) #s(literal -1 binary64))) (-.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 v))) (-.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 v))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) v))) (*.f64 (neg.f64 v) v))
(*.f64 (-.f64 (fabs.f64 v) #s(literal -1 binary64)) (neg.f64 (-.f64 (fabs.f64 v) #s(literal 1 binary64))))
(*.f64 (-.f64 (fabs.f64 v) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 v)))
(*.f64 (-.f64 (neg.f64 v) #s(literal -1 binary64)) (neg.f64 (-.f64 (neg.f64 v) #s(literal 1 binary64))))
(*.f64 (-.f64 (neg.f64 v) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 v)))
(*.f64 (-.f64 v #s(literal -1 binary64)) (neg.f64 (-.f64 v #s(literal 1 binary64))))
(*.f64 (-.f64 v #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) v))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 v) v) #s(literal 1 binary64))) #s(literal 1 binary64))
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(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(/.f64 (neg.f64 (/.f64 #s(literal -4 binary64) (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (PI.f64)))) (.f64 #s(literal -3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (neg.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))) (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (PI.f64)))
(/.f64 (neg.f64 (/.f64 #s(literal -4/3 binary64) (-.f64 (.f64 v v) #s(literal 1 binary64)))) (.f64 (neg.f64 (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))) (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (/.f64 #s(literal -4 binary64) (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (PI.f64))) (.f64 #s(literal 3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (/.f64 #s(literal -4 binary64) (-.f64 (.f64 v v) #s(literal 1 binary64))) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))) (PI.f64)) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (-.f64 (.f64 v v) #s(literal 1 binary64))) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 (/.f64 #s(literal -4 binary64) (.f64 (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 #s(literal -4/3 binary64) (.f64 (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (/.f64 #s(literal -4 binary64) (.f64 (-.f64 (*.f64 v v) #s(literal 1 binary64)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (PI.f64)) (/.f64 #s(literal -4/3 binary64) (-.f64 (.f64 v v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (/.f64 #s(literal -4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal -4 binary64) (.f64 (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))) #s(literal -4/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal -3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4/3 binary64)))
(/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(neg.f64 (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))) #s(literal -4/3 binary64)))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))

eval1.3s (27.5%)

Memory

31.7MiB live, 1 555.3MiB allocated; 213ms collecting garbage

Samples

964.0ms

16 384×

valid

Compiler

Compiled 26 924 to 2 963 computations (89.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 335.0ms

ival-mult!: 252.0ms (75.3% of total)

ival-sub!: 52.0ms (15.5% of total)

adjust: 30.0ms (9.0% of total)

prune13.0ms (0.3%)

Memory

33.2MiB live, 33.2MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	927	3	930
Fresh	0	0	0
Picked	5	0	5
Done	-5	5	0
Total	927	8	935

Accuracy

100.0%

Counts

935 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64)))
▶	97.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64)))
▶	97.4%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))) #s(literal -1 binary64)))))
✓	97.4%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
✓	97.4%	(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
✓	100.0%	(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
▶	99.0%	(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
✓	98.9%	#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 184 to 156 computations (15.2% saved)

series25.0ms (0.5%)

Memory

-19.7MiB live, 33.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	345	3155

Stop Event

1×	iter-limit

Counts

25 → 66

Calls

Call 1

Inputs
#s(literal 4/3 binary64)
v
(PI.f64)
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64))
#s(literal 2 binary64)
#s(literal 6 binary64)
(*.f64 v v)
(.f64 #s(literal 6 binary64) (.f64 v v))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
#s(literal 4 binary64)
#s(literal 3 binary64)
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
#s(literal -1 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal -1 binary64))
(sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal -1 binary64)))
(.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))) #s(literal -1 binary64))))
(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))) #s(literal -1 binary64)))))
(.f64 (.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64)))

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

Calls

3 calls:

Time	Variable	Point
4.0ms	v	0
2.0ms	v	inf
1.0ms	v	-inf

rewrite158.0ms (3.4%)

Memory

-20.7MiB live, 173.2MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	213
0	47	207
1	195	203
2	745	203
3	2879	203
0	4028	203

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

25 → 402

Calls

Call 1

Inputs
#s(literal 4/3 binary64)
v
(PI.f64)
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64))
#s(literal 2 binary64)
#s(literal 6 binary64)
(*.f64 v v)
(.f64 #s(literal 6 binary64) (.f64 v v))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
#s(literal 4 binary64)
#s(literal 3 binary64)
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 #s(literal 3 binary64) (PI.f64)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
#s(literal -1 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal -1 binary64))
(sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal -1 binary64)))
(.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))) #s(literal -1 binary64))))
(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))) #s(literal -1 binary64)))))
(.f64 (.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64)))

Outputs
#s(literal 4/3 binary64)
v
(PI.f64)
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64))
#s(literal 2 binary64)
#s(literal 6 binary64)
(*.f64 (pow.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 v))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 v))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 v))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 v) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 v) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 v) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 v) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 v))) (neg.f64 (neg.f64 (fabs.f64 v))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 v))) (fabs.f64 v))
(*.f64 (pow.f64 (fabs.f64 v) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 v))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 v) #s(literal 1 binary64)) (pow.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 v) #s(literal 1 binary64)) (fabs.f64 v))
(*.f64 (pow.f64 (neg.f64 v) #s(literal 1 binary64)) (pow.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 v) #s(literal 1 binary64)) (neg.f64 v))
(*.f64 (pow.f64 v (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 v (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)))
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (pow.f64 v #s(literal 1 binary64)) v)
(*.f64 (fabs.f64 v) (neg.f64 (neg.f64 (fabs.f64 v))))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 v v)
(pow.f64 (neg.f64 (fabs.f64 v)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 v) #s(literal 1 binary64)) (pow.f64 (fabs.f64 v) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 v) #s(literal 1 binary64)) (pow.f64 (neg.f64 v) #s(literal -1 binary64)))
(/.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 v) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 v) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 v) v))
(sqrt.f64 (.f64 (.f64 v v) (*.f64 v v)))
(fabs.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (*.f64 (log.f64 (fabs.f64 v)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 v)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 6 binary64) (neg.f64 (fabs.f64 v))) (neg.f64 (fabs.f64 v)))
(.f64 (.f64 (fabs.f64 v) #s(literal 6 binary64)) (fabs.f64 v))
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(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) #s(literal 1/3 binary64))
(.f64 (/.f64 #s(literal 4/3 binary64) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))))
(.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) #s(literal 4 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) #s(literal 4/3 binary64))
(.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))))
(.f64 #s(literal -4 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))))
(.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) #s(literal 1 binary64))
(.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))))
(.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) #s(literal 1 binary64)) #s(literal 3 binary64))
(/.f64 (.f64 (/.f64 #s(literal 4/3 binary64) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))) #s(literal 1/3 binary64)) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))) #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))))
(/.f64 (.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))))) (neg.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))) #s(literal 4/3 binary64)) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)))
(/.f64 (/.f64 #s(literal -4 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (.f64 #s(literal -3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal 6 binary64))))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))) (neg.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal 6 binary64))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))) #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal 6 binary64))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))) #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))))
(/.f64 (neg.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))))) (neg.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) (.f64 #s(literal -3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal 6 binary64))))))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))) (.f64 #s(literal 3 binary64) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (.f64 #s(literal 3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal 6 binary64))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))
(/.f64 (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)))) #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal -4/3 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))))
(/.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 4/3 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))))
(/.f64 #s(literal -4/3 binary64) (.f64 (neg.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 #s(literal -3 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))) (/.f64 #s(literal 4 binary64) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))) (/.f64 #s(literal -4/3 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal -3 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) (/.f64 #s(literal 4/3 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))) #s(literal -4/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))) #s(literal 4/3 binary64)))
(/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))))
(neg.f64 (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) #s(literal 4/3 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) #s(literal -4/3 binary64)))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)))))

eval53.0ms (1.1%)

Memory: -0.1MiB live, 90.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 17 117 to 2 131 computations (87.6% saved)

prune9.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	529	1	530
Fresh	0	0	0
Picked	3	0	3
Done	-2	7	5
Total	530	8	538

Accuracy

100.0%

Counts

538 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64)))
✓	97.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64)))
✓	97.4%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
✓	97.4%	(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
✓	100.0%	(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
▶	99.0%	(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))) #s(literal -1 binary64)))))
✓	99.0%	(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
✓	98.9%	#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 180 to 152 computations (15.6% saved)

series20.0ms (0.4%)

Memory

-18.5MiB live, 27.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	2443

Stop Event

1×	iter-limit

Counts

14 → 50

Calls

Call 1

Inputs
#s(literal 4/3 binary64)
v
(PI.f64)
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64))
#s(literal 1 binary64)
(*.f64 v v)
#s(literal 6 binary64)
(.f64 (.f64 v v) #s(literal 6 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))
#s(literal -1 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))) #s(literal -1 binary64))
(sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))) #s(literal -1 binary64)))))

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

Calls

3 calls:

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

rewrite110.0ms (2.4%)

Memory

37.3MiB live, 132.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	91
0	26	91
1	128	87
2	476	83
3	1846	83
0	4129	83

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

14 → 193

Calls

Call 1

Inputs
#s(literal 4/3 binary64)
v
(PI.f64)
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64))
#s(literal 1 binary64)
(*.f64 v v)
#s(literal 6 binary64)
(.f64 (.f64 v v) #s(literal 6 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))
#s(literal -1 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))) #s(literal -1 binary64))
(sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))) #s(literal -1 binary64)))))

Outputs
#s(literal 4/3 binary64)
v
(PI.f64)
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64))
#s(literal 1 binary64)
(.f64 (pow.f64 (.f64 v v) #s(literal 0 binary64)) (*.f64 v v))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 v)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 v))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 v))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 v))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 v) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 v) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 v) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 v) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 v))) (neg.f64 (neg.f64 (fabs.f64 v))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 v))) (fabs.f64 v))
(*.f64 (pow.f64 (fabs.f64 v) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 v))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 v) #s(literal 1 binary64)) (pow.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 v) #s(literal 1 binary64)) (fabs.f64 v))
(*.f64 (pow.f64 (neg.f64 v) #s(literal 1 binary64)) (pow.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 v) #s(literal 1 binary64)) (neg.f64 v))
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (pow.f64 v #s(literal 1 binary64)) v)
(*.f64 (pow.f64 v (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 v (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)))
(*.f64 (fabs.f64 v) (neg.f64 (neg.f64 (fabs.f64 v))))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(.f64 (.f64 v v) (pow.f64 (neg.f64 (fabs.f64 v)) #s(literal 0 binary64)))
(.f64 (.f64 v v) (pow.f64 (fabs.f64 v) #s(literal 0 binary64)))
(.f64 (.f64 v v) (pow.f64 (neg.f64 v) #s(literal 0 binary64)))
(.f64 (.f64 v v) (pow.f64 v #s(literal 0 binary64)))
(.f64 (.f64 v v) (pow.f64 (*.f64 v v) #s(literal 0 binary64)))
(*.f64 v v)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 v))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 v)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 v v) (*.f64 v v)) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 v)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 v) #s(literal 1 binary64)) (pow.f64 (fabs.f64 v) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 v) #s(literal 1 binary64)) (pow.f64 (neg.f64 v) #s(literal -1 binary64)))
(/.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal -1 binary64)))
(/.f64 (.f64 v v) (pow.f64 (.f64 v v) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 v)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 v) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 v) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 v v) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 v) v))
(sqrt.f64 (.f64 (.f64 v v) (*.f64 v v)))
(fabs.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 v))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 v v)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 v)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 v)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
#s(literal 6 binary64)
(.f64 (.f64 #s(literal 6 binary64) (neg.f64 (fabs.f64 v))) (neg.f64 (fabs.f64 v)))
(.f64 (.f64 (fabs.f64 v) #s(literal 6 binary64)) (fabs.f64 v))
(.f64 (.f64 #s(literal -6 binary64) v) (neg.f64 v))
(.f64 #s(literal -6 binary64) (.f64 (neg.f64 v) v))
(.f64 (neg.f64 (fabs.f64 v)) (.f64 (neg.f64 (fabs.f64 v)) #s(literal 6 binary64)))
(.f64 (.f64 #s(literal 6 binary64) v) v)
(.f64 (.f64 (neg.f64 v) v) #s(literal -6 binary64))
(.f64 (fabs.f64 v) (.f64 (fabs.f64 v) #s(literal 6 binary64)))
(.f64 (neg.f64 v) (.f64 #s(literal -6 binary64) v))
(.f64 #s(literal 6 binary64) (.f64 v v))
(.f64 (.f64 v v) #s(literal 6 binary64))
(.f64 v (neg.f64 (.f64 #s(literal -6 binary64) v)))
(.f64 v (.f64 #s(literal 6 binary64) v))
(neg.f64 (.f64 #s(literal -6 binary64) (.f64 v v)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))) (.f64 #s(literal -6 binary64) (*.f64 v v)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))) (.f64 #s(literal -6 binary64) (*.f64 v v)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 6 binary64) (*.f64 v v)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) (.f64 #s(literal -6 binary64) (.f64 v v))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) (.f64 #s(literal -6 binary64) (.f64 v v))) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) (.f64 #s(literal -6 binary64) (.f64 v v))) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) (.f64 #s(literal -6 binary64) (.f64 v v))) (+.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) (.f64 #s(literal -6 binary64) (.f64 v v)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) (.f64 #s(literal -6 binary64) (.f64 v v))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -6 binary64) (*.f64 v v))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 6 binary64) (.f64 v v)) (.f64 #s(literal 6 binary64) (.f64 v v)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 6 binary64) (.f64 v v)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 #s(literal 6 binary64) (.f64 v v)) (.f64 #s(literal 6 binary64) (.f64 v v))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(neg.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))
(-.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(+.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))
#s(literal -1 binary64)
(.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal 0 binary64)) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal -6 binary64) (*.f64 v v))) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))
(.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))) #s(literal 0 binary64)))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) (pow.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))) #s(literal 0 binary64)))
(pow.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal 1 binary64))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -6 binary64) (*.f64 v v)))))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (+.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) (pow.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))
(-.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))
(sqrt.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(fabs.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))))
(fabs.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))
(+.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal 0 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v)))) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (neg.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)))
(.f64 (neg.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (neg.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (neg.f64 (neg.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)))
(.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))))
(.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(neg.f64 (.f64 (neg.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (/.f64 #s(literal 1 binary64) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (/.f64 #s(literal 4/3 binary64) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) #s(literal -4/3 binary64))
(.f64 (/.f64 #s(literal -4/3 binary64) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))))
(.f64 (/.f64 #s(literal 4/3 binary64) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) #s(literal 4/3 binary64))
(.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))))
(.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))))
(.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))))
(/.f64 (.f64 (/.f64 #s(literal 4/3 binary64) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(/.f64 (.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))) (neg.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 4/3 binary64)) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)))
(/.f64 (/.f64 #s(literal -4/3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (neg.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))))
(/.f64 (neg.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))) (neg.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))
(/.f64 (/.f64 #s(literal -4/3 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(/.f64 #s(literal -4/3 binary64) (.f64 (neg.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) (/.f64 #s(literal -4/3 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) (/.f64 #s(literal 4/3 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal -4/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))) #s(literal 4/3 binary64)))
(/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) #s(literal 4/3 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) #s(literal -4/3 binary64)))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))) #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)))))

eval27.0ms (0.6%)

Memory: 1.2MiB live, 47.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 7 719 to 1 372 computations (82.2% saved)

prune9.0ms (0.2%)

Memory

-33.0MiB live, 13.3MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	229	0	229
Fresh	0	0	0
Picked	1	0	1
Done	-1	8	7
Total	229	8	237

Accuracy

100.0%

Counts

237 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64)))
✓	97.4%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64)))
✓	97.4%	(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
✓	97.4%	(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
✓	100.0%	(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
✓	99.0%	(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))) #s(literal -1 binary64)))))
✓	99.0%	(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
✓	98.9%	#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 180 to 152 computations (15.6% saved)

regimes39.0ms (0.8%)

Memory

19.2MiB live, 68.3MiB allocated; 7ms collecting garbage

Counts

2 → 1

3 → 1

7 → 1

10 → 1

Calls

Call 1

Inputs

#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))

(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))

Outputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))

Call 2

Inputs

#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))

(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))

(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))

Outputs
(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Call 3

Inputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64)))
(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))) #s(literal -1 binary64)))))

Outputs
(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))) #s(literal -1 binary64)))))

Call 4

Inputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4/3 binary64) (.f64 #s(approx ( (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64)))
(/.f64 #s(literal 4 binary64) (.f64 #s(approx ( (* 3 (PI)) (- 1 (* v v))) (.f64 #s(literal 3 binary64) (PI.f64))) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))) #s(literal -1 binary64)))))
(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))) #s(literal 3 binary64)))

Outputs
(/.f64 #s(literal 4/3 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (*.f64 v v))))))

Calls

16 calls:

6.0ms	(*.f64 v v)
3.0ms	v
3.0ms	v
3.0ms	(*.f64 v v)
2.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))

Results

Accuracy	Segments	Branch
98.9%	1	`(*.f64 v v)`
98.9%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
98.9%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
98.9%	1	`v`
99.0%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
99.0%	1	`(*.f64 v v)`
99.0%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
99.0%	1	`v`
99.0%	1	`(*.f64 v v)`
99.0%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
99.0%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
99.0%	1	`v`
100.0%	1	`(*.f64 v v)`
100.0%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
100.0%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
100.0%	1	`v`

Compiler

Compiled 394 to 197 computations (50.0% saved)

derivations27.0ms (0.6%)

Memory

-23.4MiB live, 23.1MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 87 to 44 computations (49.4% saved)

preprocess26.0ms (0.6%)

Memory: 3.4MiB live, 49.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 281 to 206 computations (26.7% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze4.0ms (0.1%)

sample1.2s (26.5%)

preprocess50.0ms (1.1%)

series35.0ms (0.8%)

rewrite145.0ms (3.1%)

eval1.2s (26.0%)

prune12.0ms (0.3%)

series23.0ms (0.5%)

rewrite138.0ms (3.0%)

eval1.3s (27.5%)

prune13.0ms (0.3%)

series25.0ms (0.5%)

rewrite158.0ms (3.4%)

eval53.0ms (1.1%)

prune9.0ms (0.2%)

series20.0ms (0.4%)

rewrite110.0ms (2.4%)

eval27.0ms (0.6%)

prune9.0ms (0.2%)

regimes39.0ms (0.8%)

derivations27.0ms (0.6%)

preprocess26.0ms (0.6%)

end0.0ms (0.0%)

Profiling