Falkner and Boettcher, Appendix B, 2

Time bar (total: 2.2s)

start0.0ms (0%)

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

analyze63.0ms (2.9%)

Memory
-51.6MiB live, 5.6MiB allocated; 25ms 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)

sample1.1s (52.5%)

Memory
70.0MiB live, 1 272.6MiB allocated; 238ms collecting garbage
Samples
774.0ms8 256×0valid
2.0ms19×0invalid
Precisions
Click to see histograms. Total time spent on operations: 587.0ms
ival-mult: 226.0ms (38.5% of total)
ival-sqrt: 190.0ms (32.4% of total)
ival-sub: 85.0ms (14.5% of total)
ival-div: 63.0ms (10.7% of total)
exact: 17.0ms (2.9% of total)
adjust: 3.0ms (0.5% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain166.0ms (7.7%)

Memory
-5.0MiB live, 233.1MiB allocated; 21ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
00-0-(*.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)))))
00-0-(*.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)))
00-0-(*.f64 v v)
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
00-0-(sqrt.f64 #s(literal 2 binary64))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
00-0-#s(literal 4 binary64)
01(1.2022074258377572e-162)0-(*.f64 #s(literal 3 binary64) (*.f64 v v))
00-0-v
00-0-#s(literal 2 binary64)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 v v))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
52.0ms512×0valid
Compiler

Compiled 165 to 46 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 12.0ms (35.9% of total)
ival-sqrt: 10.0ms (29.9% of total)
ival-sub: 5.0ms (15% of total)
ival-div: 4.0ms (12% of total)
ival-true: 1.0ms (3% of total)
exact: 1.0ms (3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess179.0ms (8.3%)

Memory
0.3MiB live, 138.1MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02358
16857
219957
358757
4239057
5800057
01419
02319
14519
212719
338119
4142319
5670719
0807219
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
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)))
Outputs
(*.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
Symmetry

(abs v)

Compiler

Compiled 19 to 14 computations (26.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
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)))
Compiler

Compiled 19 to 14 computations (26.3% saved)

series8.0ms (0.4%)

Memory
12.9MiB live, 12.9MiB 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
4.0ms
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)))

rewrite61.0ms (2.8%)

Memory
10.3MiB live, 55.7MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421702
02581514
013121514
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
61 → 84
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 (sqrt.f64 (+.f64 (*.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 (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 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 (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (sqrt.f64 (+.f64 (*.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 (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 (*.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 (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 (*.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) (+.f64 (*.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))))))
(-.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) (pow.f64 v #s(literal 4 binary64))) (+.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) (+.f64 (pow.f64 v #s(literal 4 binary64)) (*.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))) (+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (*.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 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 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (*.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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) #s(literal 1/4 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))))) (-.f64 (*.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))))) (+.f64 (*.f64 (+.f64 (*.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))))) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.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)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.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)))) (+.f64 (*.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))) (+.f64 (*.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) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64))) (pow.f64 v #s(literal 4 binary64))))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64))) (pow.f64 v #s(literal 4 binary64))))) (*.f64 (/.f64 (+.f64 (*.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))) (pow.f64 v #s(literal 3 binary64))))
#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 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) v))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)))) v))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)))) (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 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 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (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 v v)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) v))
#s(approx (- 1 (* 3 (* v v))) (*.f64 #s(literal -3 binary64) (*.f64 v v)))
#s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v)))
#s(approx (- 1 (* v v)) (neg.f64 (*.f64 v v)))
#s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #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) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64))) (pow.f64 v #s(literal 4 binary64))))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64))) (pow.f64 v #s(literal 4 binary64))))) (*.f64 (/.f64 (+.f64 (*.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))) (pow.f64 v #s(literal 3 binary64)))))
#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 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.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 (+.f64 (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.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 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)))) (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 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 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (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 v v)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) v)))

eval26.0ms (1.2%)

Memory
-15.5MiB live, 31.9MiB allocated; 12ms collecting garbage
Compiler

Compiled 2 898 to 449 computations (84.5% saved)

prune11.0ms (0.5%)

Memory
18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New92698
Fresh000
Picked011
Done000
Total92799
Accuracy
100.0%
Counts
99 → 7
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)))
47.9%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
▶48.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 #s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.9%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.3%
(*.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)))
▶99.9%
#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)))))
▶99.3%
#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 351 to 268 computations (23.6% saved)

series13.0ms (0.6%)

Memory
-28.1MiB live, 17.7MiB allocated; 4ms collecting garbage
Counts
34 → 69
Calls
Call 1
Inputs
#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))))
#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)))
(sqrt.f64 #s(literal 2 binary64))
#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)) #s(literal -5/2 binary64))
#s(literal -5/2 binary64)
(*.f64 v v)
v
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.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)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 v v))
#s(literal -3/2 binary64)
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 #s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #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 #s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v)))))
(sqrt.f64 #s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v))))
#s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v)))
(*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v))
(-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64))
(pow.f64 v #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 3 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 (- 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 (+ (* -3/2 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -3/2 (* v v)) 1) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (* -3/2 (* v v)) #s(hole binary64 (* -3/2 (pow v 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 (* (- (pow v -2) 3) (* v v)) #s(hole binary64 1))
#s(approx (* (- (pow v -2) 3) (* v v)) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (- (pow v -2) 3) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (- (pow v -2) 3) #s(hole binary64 (/ (+ 1 (* -3 (pow v 2))) (pow v 2))))
#s(approx (pow v -2) #s(hole binary64 (/ 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 (* 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 (- 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 (+ (* -3/2 (* v v)) 1) #s(hole binary64 (* -3/2 (pow v 2))))
#s(approx (+ (* -3/2 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3/2))))
#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 (* (- (pow v -2) 3) (* v v)) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (* (- (pow v -2) 3) (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (- (pow v -2) 3) #s(hole binary64 -3))
#s(approx (- (pow v -2) 3) #s(hole binary64 (- (/ 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 (- 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
6.0ms
v
@inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (sqrt 2) 2 (* (* (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))) (* 1/4 (sqrt 2)) (* (* (/ (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) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) 4 (sqrt (- 1 (* 3 (* v v)))) (+ (* -3/2 (* v v)) 1) (* -3/2 (* v v)) -3/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) (* (- (pow v -2) 3) (* v v)) (- (pow v -2) 3) (pow v -2) -2 3)
3.0ms
v
@0
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (sqrt 2) 2 (* (* (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))) (* 1/4 (sqrt 2)) (* (* (/ (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) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) 4 (sqrt (- 1 (* 3 (* v v)))) (+ (* -3/2 (* v v)) 1) (* -3/2 (* v v)) -3/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) (* (- (pow v -2) 3) (* v v)) (- (pow v -2) 3) (pow v -2) -2 3)
2.0ms
v
@-inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (sqrt 2) 2 (* (* (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))) (* 1/4 (sqrt 2)) (* (* (/ (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) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) 4 (sqrt (- 1 (* 3 (* v v)))) (+ (* -3/2 (* v v)) 1) (* -3/2 (* v v)) -3/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) (* (- (pow v -2) 3) (* v v)) (- (pow v -2) 3) (pow v -2) -2 3)

rewrite67.0ms (3.1%)

Memory
34.3MiB live, 79.7MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03062349
03452151
015842151
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
103 → 162
Calls
Call 1
Inputs
#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))))
#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)))
(sqrt.f64 #s(literal 2 binary64))
#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)) #s(literal -5/2 binary64))
#s(literal -5/2 binary64)
(*.f64 v v)
v
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.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)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 v v))
#s(literal -3/2 binary64)
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 #s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #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 #s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v)))))
(sqrt.f64 #s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v))))
#s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v)))
(*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v))
(-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64))
(pow.f64 v #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 3 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 (- 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 (+ (* -3/2 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -3/2 (* v v)) 1) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (* -3/2 (* v v)) #s(hole binary64 (* -3/2 (pow v 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 (* (- (pow v -2) 3) (* v v)) #s(hole binary64 1))
#s(approx (* (- (pow v -2) 3) (* v v)) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (- (pow v -2) 3) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (- (pow v -2) 3) #s(hole binary64 (/ (+ 1 (* -3 (pow v 2))) (pow v 2))))
#s(approx (pow v -2) #s(hole binary64 (/ 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 (* 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 (- 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 (+ (* -3/2 (* v v)) 1) #s(hole binary64 (* -3/2 (pow v 2))))
#s(approx (+ (* -3/2 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3/2))))
#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 (* (- (pow v -2) 3) (* v v)) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (* (- (pow v -2) 3) (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (- (pow v -2) 3) #s(hole binary64 -3))
#s(approx (- (pow v -2) 3) #s(hole binary64 (- (/ 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 (- 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
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (+.f64 (*.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 (+.f64 (*.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) (+.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 (*.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))) (+.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 (*.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 #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)))))
#s(literal 1/4 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))) (+.f64 (*.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)))))
(-.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))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.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)))
(+.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))) (+.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 (*.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 #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
#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))
(*.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)))))
(*.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 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.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) (+.f64 (pow.f64 v #s(literal 4 binary64)) (*.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 #s(approx (sqrt (- 1 (* 3 (* v v)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal 2 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 #s(approx (sqrt (- 1 (* 3 (* v v)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (*.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(approx (sqrt (- 1 (* 3 (* v v)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* 3 (* v v)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (*.f64 v v)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (*.f64 v v))))) #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))
#s(literal 4 binary64)
#s(approx (sqrt (- 1 (* 3 (* v v)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) v) v) (*.f64 (*.f64 #s(literal -3/2 binary64) v) v))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3/2 binary64) v) v)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) v) v) (*.f64 (*.f64 #s(literal -3/2 binary64) v) v)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) v) v) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) v) v) (*.f64 (*.f64 #s(literal -3/2 binary64) v) v)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3/2 binary64) v) v)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) v) v) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) v) v) (*.f64 (*.f64 #s(literal -3/2 binary64) v) v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) v) v) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) v) v) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3/2 binary64) v) v))
(*.f64 (*.f64 #s(literal -3/2 binary64) v) v)
(*.f64 (*.f64 v v) #s(literal -3/2 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 v v))
#s(literal -3/2 binary64)
(*.f64 (*.f64 (sqrt.f64 #s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal 2 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 #s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v)))) (/.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 #s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v))))) #s(literal 4 binary64))
(pow.f64 #s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v))))
#s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v)))
(*.f64 (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) v) v)
(*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v))
(*.f64 (*.f64 v v) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (pow.f64 v #s(literal -2 binary64))) #s(literal 9 binary64)) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (pow.f64 v #s(literal -2 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)))))
(-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 v #s(literal -1 binary64)) (pow.f64 v #s(literal -1 binary64)))
(pow.f64 (*.f64 v v) #s(literal -1 binary64))
(pow.f64 v #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(exp.f64 (*.f64 (log.f64 v) #s(literal -2 binary64)))
#s(literal -2 binary64)
#s(literal 3 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 (+.f64 (*.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 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 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))))) (- 1 (* v v))) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (*.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 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) (*.f64 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)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (-.f64 (*.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))) (+.f64 (*.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))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (-.f64 (*.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))))) (+.f64 (*.f64 (+.f64 (*.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))))) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.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 (- 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 (- 1 (* 3 (* v v)))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (*.f64 v v))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.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)))) (+.f64 (*.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 (+ (* -3/2 (* v v)) 1) #s(literal 1 binary64))
#s(approx (+ (* -3/2 (* v v)) 1) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (*.f64 v v))))
#s(approx (* -3/2 (* v v)) (*.f64 (*.f64 #s(literal -3/2 binary64) v) v))
#s(approx (- 1 (* 3 (* v v))) #s(literal 1 binary64))
#s(approx (- 1 (* 3 (* v v))) (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 1 binary64)))
#s(approx (* (- (pow v -2) 3) (* v v)) #s(literal 1 binary64))
#s(approx (* (- (pow v -2) 3) (* v v)) (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 1 binary64)))
#s(approx (- (pow v -2) 3) (pow.f64 v #s(literal -2 binary64)))
#s(approx (- (pow v -2) 3) (/.f64 (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (pow v -2) (pow.f64 v #s(literal -2 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64))) (pow.f64 v #s(literal 4 binary64))))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64))) (pow.f64 v #s(literal 4 binary64))))) (*.f64 (/.f64 (+.f64 (*.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))) (pow.f64 v #s(literal 3 binary64))))
#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))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v)) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))
#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))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 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 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) v))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)))) v))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)))) (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))))) v))
#s(approx (- 1 (* v v)) (neg.f64 (*.f64 v v)))
#s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v 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 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (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 v v)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) v))
#s(approx (+ (* -3/2 (* v v)) 1) (*.f64 (*.f64 #s(literal -3/2 binary64) v) v))
#s(approx (+ (* -3/2 (* v v)) 1) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3/2 binary64)) (*.f64 v v)))
#s(approx (- 1 (* 3 (* v v))) (*.f64 #s(literal -3 binary64) (*.f64 v v)))
#s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v)))
#s(approx (* (- (pow v -2) 3) (* v v)) (*.f64 #s(literal -3 binary64) (*.f64 v v)))
#s(approx (* (- (pow v -2) 3) (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v)))
#s(approx (- (pow v -2) 3) #s(literal -3 binary64))
#s(approx (- (pow v -2) 3) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64))) (pow.f64 v #s(literal 4 binary64))))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64))) (pow.f64 v #s(literal 4 binary64))))) (*.f64 (/.f64 (+.f64 (*.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))) (pow.f64 v #s(literal 3 binary64)))))
#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 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.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 (+.f64 (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.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 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)))) (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 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 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (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 v v)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) v)))

eval24.0ms (1.1%)

Memory
-2.0MiB live, 43.7MiB allocated; 4ms collecting garbage
Compiler

Compiled 8 642 to 890 computations (89.7% saved)

prune111.0ms (5.1%)

Memory
-39.2MiB live, 23.6MiB allocated; 149ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New2552257
Fresh101
Picked145
Done011
Total2577264
Accuracy
100.0%
Counts
264 → 7
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)))
✓99.9%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶47.9%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
✓99.3%
(*.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)))
✓99.9%
#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)))))
✓99.3%
#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))))
▶48.0%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) #s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))))
Compiler

Compiled 213 to 153 computations (28.2% saved)

series8.0ms (0.4%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
Counts
27 → 73
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) #s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))))
(*.f64 #s(literal 1/4 binary64) #s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v))))
#s(literal 1/4 binary64)
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))
(*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v))
(+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 v v)
v
(*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -5/2 binary64)
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 v v))
#s(literal -3/2 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v)))
(*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v))
(-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 v #s(literal -2 binary64))
#s(literal -2 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) (* v v)) (* -5/2 (sqrt 2))) (* v v)) #s(hole binary64 (sqrt 2)))
#s(approx (* (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) (* v v)) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) #s(hole binary64 (/ (sqrt 2) (pow v 2))))
#s(approx (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) #s(hole binary64 (/ (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2)))) (pow v 2))))
#s(approx (/ (sqrt 2) (* v v)) #s(hole binary64 (/ (sqrt 2) (pow v 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 (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 (+ (* -3/2 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -3/2 (* v v)) 1) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (* -3/2 (* v v)) #s(hole binary64 (* -3/2 (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 (* (- (pow v -2) 1) (* v v)) #s(hole binary64 1))
#s(approx (* (- (pow v -2) 1) (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (- (pow v -2) 1) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (- (pow v -2) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow v 2))) (pow v 2))))
#s(approx (pow v -2) #s(hole binary64 (/ 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 (* 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) (* v v)) (* -5/2 (sqrt 2))) (* v v)) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (* (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) (* v v)) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) #s(hole binary64 (* -5/2 (sqrt 2))))
#s(approx (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) #s(hole binary64 (+ (* -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 (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 (+ (* -3/2 (* v v)) 1) #s(hole binary64 (* -3/2 (pow v 2))))
#s(approx (+ (* -3/2 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3/2))))
#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 (* (- (pow v -2) 1) (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (* (- (pow v -2) 1) (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (- (pow v -2) 1) #s(hole binary64 -1))
#s(approx (- (pow v -2) 1) #s(hole binary64 (- (/ 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
2.0ms
v
@inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) (* v v)) (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) (/ (sqrt 2) (* v v)) (sqrt 2) 2 (* v v) v (* -5/2 (sqrt 2)) -5/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) 4 (sqrt (- 1 (* 3 (* v v)))) (+ (* -3/2 (* v v)) 1) (* -3/2 (* v v)) -3/2 1 (- 1 (* v v)) (* (- (pow v -2) 1) (* v v)) (- (pow v -2) 1) (pow v -2) -2)
2.0ms
v
@-inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) (* v v)) (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) (/ (sqrt 2) (* v v)) (sqrt 2) 2 (* v v) v (* -5/2 (sqrt 2)) -5/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) 4 (sqrt (- 1 (* 3 (* v v)))) (+ (* -3/2 (* v v)) 1) (* -3/2 (* v v)) -3/2 1 (- 1 (* v v)) (* (- (pow v -2) 1) (* v v)) (- (pow v -2) 1) (pow v -2) -2)
2.0ms
v
@0
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (* (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) (* v v)) (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) (/ (sqrt 2) (* v v)) (sqrt 2) 2 (* v v) v (* -5/2 (sqrt 2)) -5/2 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) 4 (sqrt (- 1 (* 3 (* v v)))) (+ (* -3/2 (* v v)) 1) (* -3/2 (* v v)) -3/2 1 (- 1 (* v v)) (* (- (pow v -2) 1) (* v v)) (- (pow v -2) 1) (pow v -2) -2)

rewrite68.0ms (3.1%)

Memory
19.2MiB live, 68.9MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03042407
03322208
015652208
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
100 → 147
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) #s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))))
(*.f64 #s(literal 1/4 binary64) #s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v))))
#s(literal 1/4 binary64)
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))
(*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v))
(+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 v v)
v
(*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -5/2 binary64)
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 v v))
#s(literal -3/2 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v)))
(*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v))
(-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 v #s(literal -2 binary64))
#s(literal -2 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) (* v v)) (* -5/2 (sqrt 2))) (* v v)) #s(hole binary64 (sqrt 2)))
#s(approx (* (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) (* v v)) #s(hole binary64 (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))))
#s(approx (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) #s(hole binary64 (/ (sqrt 2) (pow v 2))))
#s(approx (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) #s(hole binary64 (/ (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2)))) (pow v 2))))
#s(approx (/ (sqrt 2) (* v v)) #s(hole binary64 (/ (sqrt 2) (pow v 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 (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 (+ (* -3/2 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -3/2 (* v v)) 1) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (* -3/2 (* v v)) #s(hole binary64 (* -3/2 (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 (* (- (pow v -2) 1) (* v v)) #s(hole binary64 1))
#s(approx (* (- (pow v -2) 1) (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (- (pow v -2) 1) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (- (pow v -2) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow v 2))) (pow v 2))))
#s(approx (pow v -2) #s(hole binary64 (/ 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 (* 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) (* v v)) (* -5/2 (sqrt 2))) (* v v)) #s(hole binary64 (* -5/2 (* (pow v 2) (sqrt 2)))))
#s(approx (* (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) (* v v)) #s(hole binary64 (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))))
#s(approx (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) #s(hole binary64 (* -5/2 (sqrt 2))))
#s(approx (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) #s(hole binary64 (+ (* -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 (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 (+ (* -3/2 (* v v)) 1) #s(hole binary64 (* -3/2 (pow v 2))))
#s(approx (+ (* -3/2 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3/2))))
#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 (* (- (pow v -2) 1) (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (* (- (pow v -2) 1) (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (- (pow v -2) 1) #s(hole binary64 -1))
#s(approx (- (pow v -2) 1) #s(hole binary64 (- (/ 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
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 #s(literal 5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v))) #s(literal 1/4 binary64)))
(*.f64 #s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 #s(literal 5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) #s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 #s(literal 5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v))))
#s(literal 1/4 binary64)
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 #s(literal 5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 #s(literal 5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) v) v)
(*.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 #s(literal 5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v))
(*.f64 (*.f64 v v) (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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) (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (*.f64 (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)))
(/.f64 (-.f64 (*.f64 (*.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 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v))) (-.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)) (*.f64 (*.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 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal 3 binary64))) (+.f64 (*.f64 (*.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 (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)) (*.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)) (-.f64 (*.f64 (*.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 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 #s(literal 5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 v v)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 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(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))) (+.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 (*.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 #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 #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v))) (*.f64 #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (*.f64 #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v)))))
(*.f64 #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 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)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #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))
#s(literal 4 binary64)
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) (*.f64 (*.f64 v v) #s(literal -3/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) (*.f64 (*.f64 v v) #s(literal -3/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) (*.f64 (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) (*.f64 (*.f64 v v) #s(literal -3/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3/2 binary64)))
(*.f64 (*.f64 #s(literal -3/2 binary64) v) v)
(*.f64 (*.f64 v v) #s(literal -3/2 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 v v))
#s(literal -3/2 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v)))
(*.f64 (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) v) v)
(*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v))
(*.f64 (*.f64 v v) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (pow.f64 v #s(literal -2 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 v #s(literal -2 binary64)) (pow.f64 v #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))))
(-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 v #s(literal -1 binary64)) (pow.f64 v #s(literal -1 binary64)))
(pow.f64 (*.f64 v v) #s(literal -1 binary64))
(pow.f64 v #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(exp.f64 (*.f64 (log.f64 v) #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) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (+.f64 (*.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 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 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))))) (- 1 (* v v))) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (*.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 (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))) (*.f64 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)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (-.f64 (*.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))) (+.f64 (*.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) (* v v)) (* -5/2 (sqrt 2))) (* v v)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) (* v v)) (+.f64 (*.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) (* v v)) (* -5/2 (sqrt 2))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v))
#s(approx (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v)))
#s(approx (/ (sqrt 2) (* v v)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v))
#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))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (-.f64 (*.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))))) (+.f64 (*.f64 (+.f64 (*.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))))) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.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)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.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)))) (+.f64 (*.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 (+ (* -3/2 (* v v)) 1) #s(literal 1 binary64))
#s(approx (+ (* -3/2 (* v v)) 1) (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64)))
#s(approx (* -3/2 (* v v)) (*.f64 (*.f64 v v) #s(literal -3/2 binary64)))
#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 (* (- (pow v -2) 1) (* v v)) #s(literal 1 binary64))
#s(approx (* (- (pow v -2) 1) (* v v)) (+.f64 (neg.f64 (*.f64 v v)) #s(literal 1 binary64)))
#s(approx (- (pow v -2) 1) (pow.f64 v #s(literal -2 binary64)))
#s(approx (- (pow v -2) 1) (/.f64 (+.f64 (neg.f64 (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (pow v -2) (pow.f64 v #s(literal -2 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64))) (pow.f64 v #s(literal 4 binary64))))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64))) (pow.f64 v #s(literal 4 binary64))))) (*.f64 (/.f64 (+.f64 (*.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))) (pow.f64 v #s(literal 3 binary64))))
#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))))
#s(approx (* 1/4 (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v)))) (*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v)) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))
#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))))
#s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 #s(literal 5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))
#s(approx (* (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) (* v v)) (*.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) (* v v)) (*.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 #s(literal 5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))
#s(approx (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (/ (sqrt 2) (* v v)) (* -5/2 (sqrt 2))) (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 #s(literal 5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#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 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) v))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)))) v))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)))) (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 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 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (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 v v)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) v))
#s(approx (+ (* -3/2 (* v v)) 1) (*.f64 (*.f64 v v) #s(literal -3/2 binary64)))
#s(approx (+ (* -3/2 (* v v)) 1) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3/2 binary64)) (*.f64 v v)))
#s(approx (- 1 (* v v)) (neg.f64 (*.f64 v v)))
#s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (* (- (pow v -2) 1) (* v v)) (neg.f64 (*.f64 v v)))
#s(approx (* (- (pow v -2) 1) (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (- (pow v -2) 1) #s(literal -1 binary64))
#s(approx (- (pow v -2) 1) (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64))) (pow.f64 v #s(literal 4 binary64))))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64))) (pow.f64 v #s(literal 4 binary64))))) (*.f64 (/.f64 (+.f64 (*.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))) (pow.f64 v #s(literal 3 binary64)))))
#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 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.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 (+.f64 (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.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 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)))) (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 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 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (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 v v)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) v)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) v)))

eval20.0ms (0.9%)

Memory
-12.6MiB live, 32.1MiB allocated; 7ms collecting garbage
Compiler

Compiled 8 771 to 837 computations (90.5% saved)

prune7.0ms (0.3%)

Memory
18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1871188
Fresh000
Picked112
Done055
Total1887195
Accuracy
100.0%
Counts
195 → 7
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)))
✓99.9%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶48.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
✓99.3%
(*.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)))
✓99.9%
#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)))))
✓99.3%
#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))))
✓48.0%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) #s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))))
Compiler

Compiled 215 to 152 computations (29.3% saved)

series9.0ms (0.4%)

Memory
-36.2MiB live, 10.2MiB allocated; 5ms collecting garbage
Counts
17 → 56
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 v v))
#s(literal -3/2 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(approx (- 1 (* v v)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #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 (+ (* -3/2 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -3/2 (* v v)) 1) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (* -3/2 (* v v)) #s(hole binary64 (* -3/2 (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 (* (- (/ 1 (* v v)) 1) (* v v)) #s(hole binary64 1))
#s(approx (* (- (/ 1 (* v v)) 1) (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (- (/ 1 (* v v)) 1) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (- (/ 1 (* v v)) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow v 2))) (pow v 2))))
#s(approx (/ 1 (* v v)) #s(hole binary64 (/ 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 (+ (* -3/2 (* v v)) 1) #s(hole binary64 (* -3/2 (pow v 2))))
#s(approx (+ (* -3/2 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3/2))))
#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 (* (- (/ 1 (* v v)) 1) (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (* (- (/ 1 (* v v)) 1) (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (- (/ 1 (* v v)) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 (* v v)) 1) #s(hole binary64 (- (/ 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
1.0ms
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)))) (+ (* -3/2 (* v v)) 1) (* -3/2 (* v v)) -3/2 (* v v) v 1 (- 1 (* v v)) (* (- (/ 1 (* v v)) 1) (* v v)) (- (/ 1 (* v v)) 1) (/ 1 (* v v)))
1.0ms
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)))) (+ (* -3/2 (* v v)) 1) (* -3/2 (* v v)) -3/2 (* v v) v 1 (- 1 (* v v)) (* (- (/ 1 (* v v)) 1) (* v v)) (- (/ 1 (* v v)) 1) (/ 1 (* v v)))
1.0ms
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)))) (+ (* -3/2 (* v v)) 1) (* -3/2 (* v v)) -3/2 (* v v) v 1 (- 1 (* v v)) (* (- (/ 1 (* v v)) 1) (* v v)) (- (/ 1 (* v v)) 1) (/ 1 (* v v)))

rewrite59.0ms (2.7%)

Memory
33.6MiB live, 85.3MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02571912
02751685
013711685
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
73 → 100
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 v v))
#s(literal -3/2 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(approx (- 1 (* v v)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
#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 (+ (* -3/2 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -3/2 (* v v)) 1) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (* -3/2 (* v v)) #s(hole binary64 (* -3/2 (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 (* (- (/ 1 (* v v)) 1) (* v v)) #s(hole binary64 1))
#s(approx (* (- (/ 1 (* v v)) 1) (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (- (/ 1 (* v v)) 1) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (- (/ 1 (* v v)) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow v 2))) (pow v 2))))
#s(approx (/ 1 (* v v)) #s(hole binary64 (/ 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 (+ (* -3/2 (* v v)) 1) #s(hole binary64 (* -3/2 (pow v 2))))
#s(approx (+ (* -3/2 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3/2))))
#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 (* (- (/ 1 (* v v)) 1) (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (* (- (/ 1 (* v v)) 1) (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (- (/ 1 (* v v)) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 (* v v)) 1) #s(hole binary64 (- (/ 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 #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v))) (*.f64 #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (*.f64 #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v)))))
(*.f64 #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 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)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #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)
#s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) (*.f64 (*.f64 v v) #s(literal -3/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) (*.f64 (*.f64 v v) #s(literal -3/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64)))
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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 (- 1 (* 3 (* v v)))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) v)))

eval12.0ms (0.6%)

Memory
-23.8MiB live, 22.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 5 448 to 557 computations (89.8% saved)

prune7.0ms (0.3%)

Memory
17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1240124
Fresh000
Picked011
Done066
Total1247131
Accuracy
100.0%
Counts
131 → 7
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)))
✓99.9%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓48.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
✓99.3%
(*.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)))
✓99.9%
#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)))))
✓99.3%
#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))))
✓48.0%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) #s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))))
Compiler

Compiled 525 to 225 computations (57.1% saved)

regimes10.0ms (0.4%)

Memory
-28.3MiB live, 18.5MiB allocated; 2ms collecting garbage
Counts
10 → 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)))
#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 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) #s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 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)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 #s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
Outputs
(*.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)))
Calls

3 calls:

3.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
3.0ms
v
2.0ms
(*.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 23 to 17 computations (26.1% saved)

regimes5.0ms (0.2%)

Memory
12.2MiB live, 12.2MiB 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)))
#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 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) #s(approx (+ (sqrt 2) (* (* (sqrt 2) -5/2) (* v v))) (*.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))))
Outputs
#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)))))
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
99.9%1(*.f64 v v)
99.9%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)))
99.9%1v
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes4.0ms (0.2%)

Memory
8.5MiB live, 8.5MiB 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 (*.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)))
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.3%1(*.f64 v v)
99.3%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)))
99.3%1v
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes3.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB 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 (*.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)))
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.3%1(*.f64 v v)
99.3%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)))
99.3%1v
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify54.0ms (2.5%)

Memory
-10.7MiB live, 83.9MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034100
165100
2165100
3440100
41698100
55897100
Stop Event
1×node limit
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)))
#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(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))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.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(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))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))

derivations8.0ms (0.4%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 100 to 38 computations (62% saved)

preprocess24.0ms (1.1%)

Memory
1.6MiB live, 47.9MiB allocated; 3ms collecting garbage
Remove

(abs v)

Compiler

Compiled 314 to 160 computations (49% saved)

end0.0ms (0%)

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

Profiling

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