Falkner and Boettcher, Equation (22+)

Time bar (total: 2.1s)

start0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze23.0ms (1.1%)

Memory
-49.9MiB live, 7.7MiB allocated; 23ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%100.0%0.0%0.0%0.0%0.0%0
0.0%0.0%100.0%0.0%0.0%0.0%0.0%1
0.0%0.0%100.0%0.0%0.0%0.0%0.0%2
0.0%0.0%50.0%0.0%0.0%50.0%0.0%3
50.0%25.0%25.0%0.0%0.0%50.0%0.0%4
75.0%37.5%12.5%0.0%0.0%50.0%0.0%5
87.5%43.7%6.2%0.0%0.0%50.0%0.0%6
93.8%46.9%3.1%0.0%0.0%50.0%0.0%7
96.9%48.4%1.6%0.0%0.0%50.0%0.0%8
98.4%49.2%0.8%0.0%0.0%50.0%0.0%9
99.2%49.6%0.4%0.0%0.0%50.0%0.0%10
99.6%49.8%0.2%0.0%0.0%50.0%0.0%11
99.8%49.9%0.1%0.0%0.0%50.0%0.0%12
Compiler

Compiled 22 to 18 computations (18.2% saved)

sample803.0ms (37.9%)

Memory
62.1MiB live, 1 284.2MiB allocated; 129ms collecting garbage
Samples
500.0ms8 256×0valid
1.0ms10×0invalid
Precisions
Click to see histograms. Total time spent on operations: 332.0ms
ival-mult!: 171.0ms (51.5% of total)
ival-sqrt: 79.0ms (23.8% of total)
ival-sub!: 41.0ms (12.4% of total)
ival-div!: 39.0ms (11.8% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

preprocess47.0ms (2.2%)

Memory
3.4MiB live, 48.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02660
111455
238654
3188554
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.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)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
4
3
(PI)
(* 3 (PI))
1
2
6
Outputs
#s(literal 4 binary64)
#s(literal 3 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 2652839157010665/281474976710656 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 6 binary64)
Samples
0.0ms0valid
Compiler

Compiled 11 to 9 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series36.0ms (1.7%)

Memory
-1.5MiB live, 52.5MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02982465
Stop Event
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))) (fma.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))))) (fma.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))))) (fma.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.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))))) (fma.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.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)) (fma.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)))))) (fma.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)))))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.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)))))) (fma.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)) (fma.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)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.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))))))))) (fma.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)) (fma.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)) (fma.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)) (fma.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (fma.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)) (fma.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 (PI.f64) (fma.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))) (fma.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 (fma.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)))) (fma.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 (fma.f64 #s(literal -4/3 binary64) (/.f64 (fma.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)))) (fma.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 (fma.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)))) (fma.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))))) (fma.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))))) (fma.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)) (fma.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)) (fma.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (fma.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)) (fma.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 (PI.f64) (fma.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))) (fma.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 (fma.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)))) (fma.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 (fma.f64 #s(literal -4/3 binary64) (/.f64 (fma.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)))) (fma.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 (fma.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)))) (fma.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))))) (fma.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))))) (fma.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:

TimeVariablePoint
14.0ms
v
inf
4.0ms
v
0
2.0ms
v
-inf

rewrite228.0ms (10.8%)

Memory
-14.0MiB live, 374.4MiB allocated; 128ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01685
02685
111583
246883
3257083
0412376
Stop Event
iter-limit
node-limit
iter-limit
Counts
16 → 459
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))
(fma.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 (PI.f64) #s(literal 3 binary64)) #s(literal 0 binary64)))
(fma.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)) #s(literal 0 binary64))
(fma.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 (PI.f64) #s(literal 3 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3 binary64))) (cbrt.f64 (PI.f64)) #s(literal 0 binary64))
(fma.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 (PI.f64) #s(literal 3 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.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 (PI.f64) #s(literal 3 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 0 binary64)))
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(/.f64 (/.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #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 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.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 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (/.f64 #s(literal -4/3 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64)) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #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 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))

eval58.0ms (2.8%)

Memory
0.8MiB live, 146.3MiB allocated; 15ms collecting garbage
Compiler

Compiled 14 195 to 2 259 computations (84.1% saved)

prune11.0ms (0.5%)

Memory
-24.8MiB live, 26.9MiB allocated; 4ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4944498
Fresh000
Picked101
Done000
Total4954499
Accuracy
100.0%
Counts
499 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(/.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))))))
97.9%
(/.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 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
99.4%
#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 95 to 80 computations (15.8% saved)

sample1.0ms (0.0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
4/3
(PI)
2
(sqrt 2)
(* (PI) (sqrt 2))
(/ 4/3 (* (PI) (sqrt 2)))
1
-6
4
3
(* 3 (* (PI) (sqrt 2)))
(* 3 (PI))
6
Outputs
#s(literal 6004799503160661/4503599627370496 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 1250560371546297/281474976710656 binary64)
#s(literal 5406218967947627/18014398509481984 binary64)
#s(literal 1 binary64)
#s(literal -6 binary64)
#s(literal 4 binary64)
#s(literal 3 binary64)
#s(literal 3751681114638891/281474976710656 binary64)
#s(literal 2652839157010665/281474976710656 binary64)
#s(literal 6 binary64)
Samples
0.0ms0valid
Compiler

Compiled 31 to 15 computations (51.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series23.0ms (1.1%)

Memory
5.1MiB live, 52.2MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03473124
Stop Event
iter-limit
Counts
30 → 67
Calls
Call 1
Inputs
v
#s(literal 4/3 binary64)
(PI.f64)
#s(literal 2 binary64)
(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 1 binary64)
(*.f64 v v)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))
#s(literal -6 binary64)
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #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)))
#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 #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))))))
Outputs
#s(approx v v)
#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)))))) (fma.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)))))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.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)))))) (fma.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)) (fma.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)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.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))))))))) (fma.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 (* 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)) 2) #s(literal 2 binary64))
#s(approx (+ (* -6 (* v v)) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) (+.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 (+ (* -6 (* v v)) 2)) (+.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 (+ (* -6 (* v v)) 2)) (+.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 (+ (* -6 (* v v)) 2))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (fma.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 (+ (* -6 (* v v)) 2))) (fma.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.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 (+ (* -6 (* v v)) 2))) (fma.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.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)) (fma.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 (* (* (* 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))))) (fma.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))))))))))
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#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 (fma.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)))) (fma.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 (fma.f64 #s(literal -4/3 binary64) (/.f64 (fma.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)))) (fma.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 (fma.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)))) (fma.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))))) (fma.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))))) (fma.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 (+ (* -6 (* v v)) 2)) (*.f64 #s(literal -1 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) (*.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 (+ (* -6 (* v v)) 2)) (*.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 (+ (* -6 (* v v)) 2)) (*.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 (+ (* -6 (* v v)) 2))) (*.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))
#s(approx (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.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 (+ (* -6 (* v v)) 2))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.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 (+ (* -6 (* v v)) 2))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (fma.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 (* (* (* 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)) (fma.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)) (fma.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (fma.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)) (fma.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 (PI.f64) (fma.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))) (fma.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:

TimeVariablePoint
2.0ms
v
inf
2.0ms
v
-inf
2.0ms
v
0

rewrite156.0ms (7.3%)

Memory
3.8MiB live, 333.6MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040248
061241
1216239
2756239
33902239
04010232
Stop Event
iter-limit
node-limit
iter-limit
Counts
30 → 622
Calls
Call 1
Inputs
v
#s(literal 4/3 binary64)
(PI.f64)
#s(literal 2 binary64)
(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 1 binary64)
(*.f64 v v)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))
#s(literal -6 binary64)
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #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)))
#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 #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))))))
Outputs
v
#s(literal 4/3 binary64)
(PI.f64)
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(cosh.f64 (neg.f64 (asinh.f64 #s(literal 1 binary64))))
(cosh.f64 (asinh.f64 #s(literal -1 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (neg.f64 (neg.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 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)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (PI.f64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (exp.f64 (PI.f64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(*.f64 (PI.f64) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal -4/3 binary64))
(*.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 4/3 binary64))
(*.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 1 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 4 binary64)) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 4/3 binary64)) (PI.f64))
(/.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) #s(literal 3 binary64))
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(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal -4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (/.f64 #s(literal -4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))) #s(literal -4 binary64)))
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))))

eval71.0ms (3.4%)

Memory
-10.1MiB live, 176.4MiB allocated; 30ms collecting garbage
Compiler

Compiled 19 030 to 2 729 computations (85.7% saved)

prune12.0ms (0.5%)

Memory
39.3MiB live, 39.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New6695674
Fresh000
Picked404
Done000
Total6735678
Accuracy
100.0%
Counts
678 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
97.9%
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(literal 3751681114638891/281474976710656 binary64)))
99.5%
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
100.0%
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
99.4%
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(literal 5406218967947627/18014398509481984 binary64))
Compiler

Compiled 202 to 168 computations (16.8% saved)

sample1.0ms (0.0%)

Memory
1.5MiB live, 1.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-4/3
-1
(PI)
-6
2
5406218967947627/18014398509481984
4
3751681114638891/281474976710656
4/3
2652839157010665/281474976710656
6
Outputs
#s(literal -6004799503160661/4503599627370496 binary64)
#s(literal -1 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal 5406218967947627/18014398509481984 binary64)
#s(literal 4 binary64)
#s(literal 3751681114638891/281474976710656 binary64)
#s(literal 6004799503160661/4503599627370496 binary64)
#s(literal 2652839157010665/281474976710656 binary64)
#s(literal 6 binary64)
Samples
0.0ms0valid
Compiler

Compiled 13 to 13 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series39.0ms (1.8%)

Memory
-0.8MiB live, 91.1MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04784807
Stop Event
iter-limit
Counts
31 → 89
Calls
Call 1
Inputs
#s(literal -4/3 binary64)
v
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(PI.f64)
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))
#s(literal -6 binary64)
(*.f64 v v)
#s(literal 2 binary64)
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
#s(literal 5406218967947627/18014398509481984 binary64)
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(literal 5406218967947627/18014398509481984 binary64))
#s(literal 4 binary64)
#s(literal 3751681114638891/281474976710656 binary64)
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(literal 3751681114638891/281474976710656 binary64))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(literal 3751681114638891/281474976710656 binary64)))
#s(literal 4/3 binary64)
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64))
(*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
#s(literal 2652839157010665/281474976710656 binary64)
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 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 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (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))) #s(literal 2652839157010665/281474976710656 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Outputs
#s(approx v v)
#s(approx (+ (* v v) -1) #s(literal -1 binary64))
#s(approx (+ (* v v) -1) (-.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* (+ (* v v) -1) (PI)) (*.f64 #s(literal -1 binary64) (PI.f64)))
#s(approx (* (+ (* v v) -1) (PI)) (fma.f64 #s(literal -1 binary64) (PI.f64) (*.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)) 2) #s(literal 2 binary64))
#s(approx (+ (* -6 (* v v)) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) (+.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 (+ (* -6 (* v v)) 2)) (+.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 (+ (* -6 (* v v)) 2)) (+.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 (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (PI.f64) (+.f64 (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 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 (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (PI.f64) (+.f64 (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)) (fma.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 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 27/2 binary64) (/.f64 #s(literal 1 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)))))))))))))
#s(approx (/ -4/3 (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ -4/3 (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (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 (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.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 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 (pow.f64 (+.f64 (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 (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 (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (fma.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)) (fma.f64 #s(literal -4/3 binary64) (/.f64 (*.f64 (+.f64 (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 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)))))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -4/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 27/2 binary64) (/.f64 #s(literal 1 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 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (fma.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 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 (pow.f64 (+.f64 (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))))))) (sqrt.f64 #s(literal 2 binary64))))))) (fma.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 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 (pow.f64 (+.f64 (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 (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 (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1 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))) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))))) (pow.f64 v #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (fma.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)))))))))
#s(approx (/ -4/3 (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (/.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 (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (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 (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.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 (fma.f64 #s(literal -1 binary64) (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)))) (fma.f64 #s(literal -4/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (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 (* (* (+ (* v v) -1) (PI)) (sqrt (+ (* -6 (* v v)) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4/3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (+.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 3 binary64)))) (fma.f64 #s(literal -4/3 binary64) (/.f64 (fma.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 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (fma.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 (fma.f64 #s(literal -1 binary64) (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))))))) (sqrt.f64 #s(literal -6 binary64)))))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal -4/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (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))))) (fma.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))))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (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 (/ 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 (fma.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)))) (fma.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 (fma.f64 #s(literal -4/3 binary64) (/.f64 (fma.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)))) (fma.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 (fma.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)))) (fma.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))))) (fma.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))))) (fma.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)) (fma.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)) (fma.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (fma.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)) (fma.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 (PI.f64) (fma.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))) (fma.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 (* (* (- 1 (* v v)) (PI)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.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 (+ (* -6 (* v v)) 2))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.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 (+ (* -6 (* v v)) 2))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) (fma.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)))))))))
Calls

3 calls:

TimeVariablePoint
7.0ms
v
0
3.0ms
v
inf
2.0ms
v
-inf

rewrite164.0ms (7.7%)

Memory
-26.0MiB live, 344.6MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044250
064243
1237240
2834235
04309235
Stop Event
iter-limit
node-limit
iter-limit
Counts
31 → 586
Calls
Call 1
Inputs
#s(literal -4/3 binary64)
v
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(PI.f64)
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64))
#s(literal -6 binary64)
(*.f64 v v)
#s(literal 2 binary64)
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
#s(literal 5406218967947627/18014398509481984 binary64)
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(literal 5406218967947627/18014398509481984 binary64))
#s(literal 4 binary64)
#s(literal 3751681114638891/281474976710656 binary64)
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(literal 3751681114638891/281474976710656 binary64))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(literal 3751681114638891/281474976710656 binary64)))
#s(literal 4/3 binary64)
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64))
(*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
#s(literal 2652839157010665/281474976710656 binary64)
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 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 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (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))) #s(literal 2652839157010665/281474976710656 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Outputs
#s(literal -4/3 binary64)
v
#s(literal -1 binary64)
(*.f64 (+.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)) (-.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 v) v) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal -1 binary64) v))
(*.f64 (-.f64 (fabs.f64 v) #s(literal -1 binary64)) (-.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) v) (-.f64 #s(literal 1 binary64) v))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) #s(literal -1 binary64))) #s(literal -1 binary64))
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(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 6 binary64) v) (neg.f64 v) #s(literal 2 binary64))
(fma.f64 (*.f64 (neg.f64 v) v) #s(literal 6 binary64) #s(literal 2 binary64))
(fma.f64 (fabs.f64 v) (*.f64 (neg.f64 (fabs.f64 v)) #s(literal 6 binary64)) #s(literal 2 binary64))
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(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 v (*.f64 #s(literal -6 binary64) v) #s(literal 2 binary64))
(-.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal -2 binary64))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 6 binary64) v) v #s(literal -1 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
(sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
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(fabs.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(+.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 1 binary64)))
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(pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
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(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
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(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)))
(*.f64 (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))))
(*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (neg.f64 (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)))
(neg.f64 (*.f64 (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))))
(*.f64 (/.f64 #s(literal -4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)))
(/.f64 (/.f64 #s(literal -4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal -4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal -4 binary64)))
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))

eval72.0ms (3.4%)

Memory
41.6MiB live, 180.6MiB allocated; 21ms collecting garbage
Compiler

Compiled 20 247 to 2 698 computations (86.7% saved)

prune15.0ms (0.7%)

Memory
-13.6MiB live, 32.0MiB allocated; 6ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New7382740
Fresh000
Picked505
Done-440
Total7396745
Accuracy
100.0%
Counts
745 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 3 binary64)))
97.9%
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))))
97.9%
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(literal 3751681114638891/281474976710656 binary64)))
99.5%
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
100.0%
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
99.4%
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(literal 5406218967947627/18014398509481984 binary64))
Compiler

Compiled 123 to 103 computations (16.3% saved)

sample0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
4
-6
2
2652839157010665/281474976710656
1
(PI)
3
Outputs
#s(literal 4 binary64)
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal 2652839157010665/281474976710656 binary64)
#s(literal 1 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 3 binary64)
Samples
0.0ms0valid
Compiler

Compiled 9 to 9 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series25.0ms (1.2%)

Memory
-0.2MiB live, 45.2MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04083273
Stop Event
iter-limit
Counts
19 → 78
Calls
Call 1
Inputs
#s(literal 4 binary64)
v
(*.f64 v v)
#s(literal -6 binary64)
#s(literal 2 binary64)
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
#s(literal 2652839157010665/281474976710656 binary64)
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))))
#s(literal 1 binary64)
(PI.f64)
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64))
(/.f64 #s(literal 1 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) #s(literal 4 binary64))
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 3 binary64)))
Outputs
#s(approx v v)
#s(approx (* v v) (pow.f64 v #s(literal 2 binary64)))
#s(approx (+ (* (* v v) -6) 2) #s(literal 2 binary64))
#s(approx (+ (* (* v v) -6) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (+ (* (* v v) -6) 2)) (+.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 (+ (* (* v v) -6) 2)) (+.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 (+ (* (* v v) -6) 2)) (+.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))) (*.f64 #s(literal 3 binary64) (PI.f64)))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) (fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 3 binary64) (PI.f64))))
#s(approx (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v)))) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v)))) (fma.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 (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v)))) (fma.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.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 (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v)))) (fma.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.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)) (fma.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 (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v))))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ 4 (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v))))) (fma.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 (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v))))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.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 (/ 1 (* (- 1 (* v v)) (PI))) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
#s(approx (* (/ 1 (* (- 1 (* v v)) (PI))) 4) (/.f64 #s(literal -4 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))
#s(approx (* (/ 1 (* (- 1 (* v v)) (PI))) 4) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (* (/ 1 (* (- 1 (* v v)) (PI))) 4) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64))))
#s(approx (* (/ 1 (* (- 1 (* v v)) (PI))) 4) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
#s(approx (* (sqrt (+ (* (* v v) -6) 2)) 3) (*.f64 #s(literal 3 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))
#s(approx (* (sqrt (+ (* (* v v) -6) 2)) 3) (*.f64 v (fma.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))))))
#s(approx (* (sqrt (+ (* (* v v) -6) 2)) 3) (*.f64 v (-.f64 (fma.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (/.f64 #s(literal 3/2 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64)))))))
#s(approx (* (sqrt (+ (* (* v v) -6) 2)) 3) (*.f64 v (-.f64 (fma.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -6 binary64)) (fma.f64 #s(literal 3/2 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 3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))) (*.f64 #s(literal 3/2 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 (sqrt (+ (* (* v v) -6) 2)) (*.f64 #s(literal -1 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) (*.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 (+ (* (* v v) -6) 2)) (*.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 (+ (* (* v v) -6) 2)) (*.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 (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* 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 (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.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 (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (fma.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 (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 (PI.f64) (fma.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))) (fma.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 (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* 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 (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* 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 (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.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)))) (fma.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 (* (sqrt (+ (* (* v v) -6) 2)) (* (* 3 (PI)) (- 1 (* v v))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4/3 binary64) (/.f64 (fma.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)))) (fma.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 (fma.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)))) (fma.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))))) (fma.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))))) (fma.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 (+ (* (* v v) -6) 2)) 3) (*.f64 #s(literal -3 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))
#s(approx (* (sqrt (+ (* (* v v) -6) 2)) 3) (*.f64 #s(literal -1 binary64) (*.f64 v (fma.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))))
#s(approx (* (sqrt (+ (* (* v v) -6) 2)) 3) (*.f64 #s(literal -1 binary64) (*.f64 v (-.f64 (fma.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (/.f64 #s(literal 3/2 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))))))
#s(approx (* (sqrt (+ (* (* v v) -6) 2)) 3) (*.f64 #s(literal -1 binary64) (*.f64 v (-.f64 (fma.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -6 binary64)) (fma.f64 #s(literal 3/2 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 3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))) (*.f64 #s(literal 3/2 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)))))))))
Calls

3 calls:

TimeVariablePoint
2.0ms
v
inf
2.0ms
v
0
1.0ms
v
-inf

rewrite169.0ms (8.0%)

Memory
34.7MiB live, 221.6MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025140
036136
1147134
2568134
32924134
04049134
Stop Event
iter-limit
node-limit
iter-limit
Counts
19 → 344
Calls
Call 1
Inputs
#s(literal 4 binary64)
v
(*.f64 v v)
#s(literal -6 binary64)
#s(literal 2 binary64)
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
#s(literal 2652839157010665/281474976710656 binary64)
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))))
#s(literal 1 binary64)
(PI.f64)
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64))
(/.f64 #s(literal 1 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) #s(literal 4 binary64))
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 3 binary64)))
Outputs
#s(literal 4 binary64)
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))
(*.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)))
#s(literal -6 binary64)
#s(literal 2 binary64)
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(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (neg.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal -3 binary64) (*.f64 (neg.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -3 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (neg.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (neg.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))))
(neg.f64 (neg.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))

eval53.0ms (2.5%)

Memory
-26.2MiB live, 115.4MiB allocated; 17ms collecting garbage
Compiler

Compiled 16 258 to 1 787 computations (89.0% saved)

prune10.0ms (0.5%)

Memory
26.6MiB live, 26.6MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New5241525
Fresh000
Picked202
Done-154
Total5256531
Accuracy
100.0%
Counts
531 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))))
97.9%
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(literal 3751681114638891/281474976710656 binary64)))
99.5%
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
100.0%
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
99.5%
(/.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))))
99.4%
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(literal 5406218967947627/18014398509481984 binary64))
Compiler

Compiled 121 to 101 computations (16.5% saved)

regimes41.0ms (1.9%)

Memory
-14.5MiB live, 84.1MiB allocated; 15ms collecting garbage
Counts
4 → 1
10 → 1
13 → 1
Calls
Call 1
Inputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(literal 5406218967947627/18014398509481984 binary64))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(literal 3751681114638891/281474976710656 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)))))
(/.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)))))) #s(literal 5406218967947627/18014398509481984 binary64))
Call 2
Inputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(literal 5406218967947627/18014398509481984 binary64))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(literal 3751681114638891/281474976710656 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)))))
(/.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 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (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) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))))
(/.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 #s(literal 1 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 3 binary64)))
Outputs
(/.f64 #s(literal 4/3 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Call 3
Inputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(literal 5406218967947627/18014398509481984 binary64))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(literal 3751681114638891/281474976710656 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)))))
(/.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 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(literal 2652839157010665/281474976710656 binary64)) (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) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))))
(/.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 #s(literal 1 binary64) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.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
(/.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Calls

12 calls:

8.0ms
(/.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))))))
4.0ms
v
3.0ms
v
3.0ms
(*.f64 v v)
3.0ms
(*.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
AccuracySegmentsBranch
99.4%1(*.f64 v v)
99.4%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)))))
99.4%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))))))
99.4%1v
99.5%1(*.f64 v v)
99.5%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)))))
99.5%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))))))
99.5%1v
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%1v
Compiler

Compiled 407 to 179 computations (56.0% saved)

derivations39.0ms (1.8%)

Memory
6.2MiB live, 52.6MiB allocated; 5ms collecting garbage
Stop Event
fuel
Compiler

Compiled 57 to 35 computations (38.6% saved)

preprocess23.0ms (1.1%)

Memory
8.3MiB live, 53.6MiB allocated; 6ms collecting garbage
Compiler

Compiled 191 to 145 computations (24.1% saved)

end0.0ms (0.0%)

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

Profiling

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