Falkner and Boettcher, Appendix B, 2

Time bar (total: 1.5s)

start0.0ms (0%)

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

analyze3.0ms (0.2%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 21 to 16 computations (23.8% saved)

sample888.0ms (57.4%)

Memory
54.7MiB live, 1 206.5MiB allocated; 350ms collecting garbage
Samples
624.0ms8 256×0valid
1.0ms14×0invalid
Precisions
Click to see histograms. Total time spent on operations: 399.0ms
ival-mult!: 224.0ms (56.1% of total)
ival-sqrt: 110.0ms (27.6% of total)
ival-sub!: 63.0ms (15.8% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

preprocess85.0ms (5.5%)

Memory
-41.7MiB live, 58.1MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02358
16857
219957
358757
4239057
5800057
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Symmetry

(abs v)

Compiler

Compiled 32 to 28 computations (12.5% saved)

series8.0ms (0.5%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Counts
14 → 47
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
v
@inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (- 1 (* v v)))
2.0ms
v
@0
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (- 1 (* v v)))
2.0ms
v
@-inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (- 1 (* v v)))

rewrite63.0ms (4.1%)

Memory
15.8MiB live, 60.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421702
02571514
013111417
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
61 → 86
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) (*.f64 #s(literal -3 binary64) (*.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) (*.f64 #s(literal -3 binary64) (*.f64 v v))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 v v))))))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) v) v)
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 #s(literal 1 binary64) (*.f64 v v)))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/16 binary64)) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)))))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (fma.f64 (*.f64 #s(literal -9/32 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/64 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -9/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 (-.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 v v)) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 v v)) #s(literal 9/8 binary64)) (*.f64 v v)) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (- 1 (* 3 (* v v))) #s(literal 1 binary64))
#s(approx (- 1 (* 3 (* v v))) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (* 3 (* v v)) (*.f64 (*.f64 #s(literal 3 binary64) v) v))
#s(approx (* v v) (*.f64 v v))
#s(approx v v)
#s(approx (- 1 (* v v)) #s(literal 1 binary64))
#s(approx (- 1 (* v v)) (+.f64 (neg.f64 (*.f64 v v)) #s(literal 1 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (*.f64 (*.f64 v v) v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (*.f64 (*.f64 v v) v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))))) (*.f64 (*.f64 v v) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal 1/4 binary64)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))) v))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)))) v))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))))) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) v))
#s(approx (- 1 (* 3 (* v v))) (*.f64 #s(literal -3 binary64) (*.f64 v v)))
#s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 3 binary64)) (*.f64 v v)))
#s(approx (- 1 (* v v)) (neg.f64 (*.f64 v v)))
#s(approx (- 1 (* v v)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (*.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (*.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))))) (*.f64 (*.f64 v v) v))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal -1/4 binary64)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)))) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))))) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) v)))

eval7.0ms (0.5%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 215 to 416 computations (65.8% saved)

prune3.0ms (0.2%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New72476
Fresh000
Picked101
Done000
Total73477
Accuracy
100.0%
Counts
77 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.0%
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))))
▶98.9%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 81 to 77 computations (4.9% saved)

series38.0ms (2.5%)

Memory
-34.9MiB live, 11.0MiB allocated; 3ms collecting garbage
Counts
24 → 91
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))))
(*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))
#s(literal -5/2 binary64)
(*.f64 v v)
v
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
#s(literal 4 binary64)
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (* (sqrt 2) -5/2) (* v v)) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))
Calls

3 calls:

TimeVariablePointExpression
32.0ms
v
@inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* v v) v (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)) 1 (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3 4)
2.0ms
v
@0
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* v v) v (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)) 1 (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3 4)
2.0ms
v
@-inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) 1/4 (sqrt 2) 2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (* (sqrt 2) -5/2) (* v v)) (* (sqrt 2) -5/2) -5/2 (* v v) v (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)) 1 (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (+ (* -3 (* v v)) 1) -3 4)

rewrite74.0ms (4.8%)

Memory
34.4MiB live, 78.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03433588
03733110
017712980
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
115 → 183
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))))
(*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))
#s(literal -5/2 binary64)
(*.f64 v v)
v
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
#s(literal 4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (* (sqrt 2) -5/2) (* v v)) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (/ (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) 4) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)))
(+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)))))
(fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
(*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)
(*.f64 (*.f64 v v) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/2 binary64) (*.f64 v v)))
(fma.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v)))
(fma.f64 (*.f64 v v) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(literal -5/2 binary64)
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 #s(literal 1 binary64) (*.f64 v v)))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))
#s(literal 1 binary64)
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 4 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) #s(literal -4 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
(fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v))
(+.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
#s(literal -3 binary64)
#s(literal 4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
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#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (fma.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (fma.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) -5/2) (* v v)) (*.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* v v) (*.f64 v v))
#s(approx v v)
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
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#s(approx (- 1 (* v v)) #s(literal 1 binary64))
#s(approx (- 1 (* v v)) (+.f64 (neg.f64 (*.f64 v v)) #s(literal 1 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
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#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
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#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (fma.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
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#s(approx (sqrt (+ (* -3 (* v v)) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
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#s(approx (+ (* -3 (* v v)) 1) #s(literal 1 binary64))
#s(approx (+ (* -3 (* v v)) 1) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
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#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
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#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
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#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal 1/4 binary64)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))) v))
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#s(approx (- 1 (* v v)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
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#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal 1/4 binary64)))
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#s(approx (sqrt (+ (* -3 (* v v)) 1)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) v))
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#s(approx (sqrt (+ (* -3 (* v v)) 1)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) v))
#s(approx (+ (* -3 (* v v)) 1) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
#s(approx (+ (* -3 (* v v)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 3 binary64)) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (*.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (*.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))))) (*.f64 (*.f64 v v) v))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal -1/4 binary64)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)))) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))))) v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (*.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (*.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))))) (*.f64 (*.f64 v v) v))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal -1/4 binary64)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)))) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))))) v)))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v)))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) v)))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) v)))
#s(approx (* (sqrt 2) (sqrt (+ (* -3 (* v v)) 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))))) v)))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) v)))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) v)))
#s(approx (sqrt (+ (* -3 (* v v)) 1)) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) v)))

eval27.0ms (1.7%)

Memory
-9.7MiB live, 36.8MiB allocated; 14ms collecting garbage
Compiler

Compiled 2 284 to 780 computations (65.8% saved)

prune5.0ms (0.3%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1632165
Fresh000
Picked224
Done000
Total1654169
Accuracy
100.0%
Counts
169 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
✓99.0%
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓98.9%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 79 to 75 computations (5.1% saved)

series12.0ms (0.8%)

Memory
-23.3MiB live, 20.7MiB allocated; 5ms collecting garbage
Counts
20 → 71
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v)
(*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -5/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
v
#s(literal 1/4 binary64)
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 v v)
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 4 binary64)
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (sqrt 2)))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (* -5/2 (sqrt 2)) v) #s(hole binary64 (* -5/2 (* v (sqrt 2)))))
#s(approx v #s(hole binary64 v))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* 3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2)))))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 2))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 1))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (* (sqrt -3) (sqrt 2)))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
v
@inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) -5/2 (sqrt 2) 2 v 1/4 (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* v v) -3) 1))) (* 2 (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) (* v v) -3 1 (- 1 (* v v)) 4)
3.0ms
v
@0
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) -5/2 (sqrt 2) 2 v 1/4 (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* v v) -3) 1))) (* 2 (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) (* v v) -3 1 (- 1 (* v v)) 4)
2.0ms
v
@-inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) (* (* -5/2 (sqrt 2)) v) (* -5/2 (sqrt 2)) -5/2 (sqrt 2) 2 v 1/4 (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* v v) -3) 1))) (* 2 (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) (* v v) -3 1 (- 1 (* v v)) 4)

rewrite70.0ms (4.5%)

Memory
8.5MiB live, 98.6MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02982969
03212553
016372457
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
91 → 157
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v)
(*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -5/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
v
#s(literal 1/4 binary64)
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 v v)
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (sqrt 2)))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (* -5/2 (sqrt 2)) v) #s(hole binary64 (* -5/2 (* v (sqrt 2)))))
#s(approx v #s(hole binary64 v))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* 3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2)))))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 2))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 1))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) 1/4) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (+ (* (* (* -5/2 (sqrt 2)) v) v) (sqrt 2)) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (* (sqrt -3) (sqrt 2)))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)))
(+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)))))
(fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 v (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
(*.f64 (*.f64 #s(literal -5/2 binary64) v) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/2 binary64))
(*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v)
(*.f64 #s(literal -5/2 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))
(*.f64 v (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(literal -5/2 binary64)
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
v
#s(literal 1/4 binary64)
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal -4 binary64))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(pow.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 2 binary64))
(+.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
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(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v))
(+.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
#s(literal -3 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
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(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))
#s(literal 4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
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#s(approx v v)
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
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#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) v))
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#s(approx (- 1 (* v v)) (neg.f64 (*.f64 v v)))
#s(approx (- 1 (* v v)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (*.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (*.f64 (*.f64 v v) v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))))) (*.f64 (*.f64 v v) v))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (*.f64 (*.f64 v v) v))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (*.f64 (*.f64 v v) v))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))))) (*.f64 (*.f64 v v) v))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (*.f64 v v) v)))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (neg.f64 (*.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal -6 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)))) (*.f64 (*.f64 v v) v))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v))))) (neg.f64 (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) v))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v))))))) (neg.f64 (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) v))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) v)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) v)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))))) v)))

eval14.0ms (0.9%)

Memory
30.1MiB live, 30.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 331 to 717 computations (69.2% saved)

prune11.0ms (0.7%)

Memory
-41.3MiB live, 12.1MiB allocated; 10ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1381139
Fresh000
Picked112
Done022
Total1394143
Accuracy
100.0%
Counts
143 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
✓99.0%
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓98.9%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 86 to 82 computations (4.7% saved)

series4.0ms (0.3%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Counts
12 → 50
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.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))
#s(literal -6 binary64)
(*.f64 v v)
v
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
#s(literal 4 binary64)
Outputs
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* 3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2)))))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 2))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 2))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (* (sqrt -3) (sqrt 2)))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
v
@inf
((/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* v v) -3) 1))) (* 2 (+ (* (* v v) -3) 1)) (+ (* -6 (* v v)) 2) -6 (* v v) v 2 (- 1 (* v v)) 1 4)
1.0ms
v
@-inf
((/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* v v) -3) 1))) (* 2 (+ (* (* v v) -3) 1)) (+ (* -6 (* v v)) 2) -6 (* v v) v 2 (- 1 (* v v)) 1 4)
1.0ms
v
@0
((/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (sqrt (* 2 (+ (* (* v v) -3) 1))) (* 2 (+ (* (* v v) -3) 1)) (+ (* -6 (* v v)) 2) -6 (* v v) v 2 (- 1 (* v v)) 1 4)

rewrite57.0ms (3.7%)

Memory
27.3MiB live, 73.6MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02432074
02511813
014161701
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
62 → 83
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.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))
#s(literal -6 binary64)
(*.f64 v v)
v
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
#s(literal 4 binary64)
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* 3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2)))))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 2))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 2))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (* (sqrt -3) (sqrt 2)))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
Outputs
(*.f64 (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal -4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 4 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(pow.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(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))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
#s(literal -6 binary64)
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 #s(literal 1 binary64) (*.f64 v v)))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))
#s(literal 1 binary64)
#s(literal 4 binary64)
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (fma.f64 (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/16 binary64)) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)) (*.f64 v v))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/16 binary64)) (*.f64 v v))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (fma.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 2 (+ (* (* v v) -3) 1)) #s(literal 2 binary64))
#s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
#s(approx (+ (* -6 (* v v)) 2) #s(literal 2 binary64))
#s(approx (+ (* -6 (* v v)) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
#s(approx (* v v) (*.f64 v v))
#s(approx v v)
#s(approx (- 1 (* v v)) #s(literal 1 binary64))
#s(approx (- 1 (* v v)) (+.f64 (neg.f64 (*.f64 v v)) #s(literal 1 binary64)))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (*.f64 (*.f64 v v) v)))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (*.f64 (*.f64 v v) v)))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))))) (*.f64 (*.f64 v v) v)))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (*.f64 v v) v))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (*.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal -6 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)))) (*.f64 (*.f64 v v) v)))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (*.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v))))) (neg.f64 (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) v)))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (*.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v))))))) (neg.f64 (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) v)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) v))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) v))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) v))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))))) v))
#s(approx (* 2 (+ (* (* v v) -3) 1)) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
#s(approx (* 2 (+ (* (* v v) -3) 1)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v)))
#s(approx (+ (* -6 (* v v)) 2) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
#s(approx (+ (* -6 (* v v)) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) (*.f64 v v)))
#s(approx (- 1 (* v v)) (neg.f64 (*.f64 v v)))
#s(approx (- 1 (* v v)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (*.f64 (*.f64 v v) v))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (*.f64 (*.f64 v v) v))))
#s(approx (/ (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) 4) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))))) (*.f64 (*.f64 v v) v))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (*.f64 v v) v)))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (neg.f64 (*.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal -6 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)))) (*.f64 (*.f64 v v) v))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v))))) (neg.f64 (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) v))))
#s(approx (* (sqrt (* 2 (+ (* (* v v) -3) 1))) (- 1 (* v v))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v))))))) (neg.f64 (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) v))))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) v)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) v)))
#s(approx (sqrt (* 2 (+ (* (* v v) -3) 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))))) v)))

eval9.0ms (0.6%)

Memory
-31.5MiB live, 14.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 396 to 427 computations (69.4% saved)

prune4.0ms (0.3%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New73174
Fresh000
Picked011
Done033
Total73578
Accuracy
100.0%
Counts
78 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
99.0%
(/.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))) #s(literal 4 binary64))
✓99.0%
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓98.9%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 213 to 169 computations (20.7% saved)

regimes8.0ms (0.5%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))) #s(literal 4 binary64))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))))
(/.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Outputs
(/.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
Calls

3 calls:

3.0ms
v
2.0ms
(*.f64 v v)
2.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Results
AccuracySegmentsBranch
100.0%1(*.f64 v v)
100.0%1(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
100.0%1v
Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes5.0ms (0.3%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))) #s(literal 4 binary64))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
Calls

3 calls:

2.0ms
v
1.0ms
(*.f64 v v)
1.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Results
AccuracySegmentsBranch
99.4%1(*.f64 v v)
99.4%1(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.4%1v
Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes5.0ms (0.3%)

Memory
-38.8MiB live, 7.8MiB allocated; 2ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))) #s(literal 4 binary64))
Outputs
(/.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))) #s(literal 4 binary64))
Calls

3 calls:

2.0ms
(*.f64 v v)
1.0ms
v
1.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Results
AccuracySegmentsBranch
99.0%1(*.f64 v v)
99.0%1(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.0%1v
Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes3.0ms (0.2%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Outputs
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Calls

3 calls:

1.0ms
v
1.0ms
(*.f64 v v)
1.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Results
AccuracySegmentsBranch
99.0%1(*.f64 v v)
99.0%1(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.0%1v
Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes3.0ms (0.2%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Calls

3 calls:

1.0ms
v
1.0ms
(*.f64 v v)
1.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Results
AccuracySegmentsBranch
98.9%1(*.f64 v v)
98.9%1v
98.9%1(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Compiler

Compiled 19 to 17 computations (10.5% saved)

derivations101.0ms (6.5%)

Memory
-29.7MiB live, 37.6MiB allocated; 111ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 72 to 44 computations (38.9% saved)

preprocess39.0ms (2.5%)

Memory
22.8MiB live, 74.9MiB allocated; 11ms collecting garbage
Remove

(abs v)

Compiler

Compiled 302 to 262 computations (13.2% saved)

end0.0ms (0%)

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

Profiling

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