Falkner and Boettcher, Appendix B, 2

Time bar (total: 4.9s)

start0.0ms (0%)

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

analyze4.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.4s (29.1%)

Memory
62.4MiB live, 1 739.6MiB allocated; 330ms collecting garbage
Samples
1.0s8 256×0valid
1.0ms9×0invalid
Precisions
Click to see histograms. Total time spent on operations: 798.0ms
ival-mult: 421.0ms (52.8% of total)
ival-sub: 164.0ms (20.6% of total)
ival-sqrt: 120.0ms (15% of total)
ival-div: 66.0ms (8.3% of total)
exact: 16.0ms (2% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain170.0ms (3.5%)

Memory
-16.9MiB live, 361.7MiB allocated; 54ms 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)
00-0-(*.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
50.0ms512×0valid
Compiler

Compiled 165 to 46 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 13.0ms (38.3% of total)
ival-sub: 9.0ms (26.5% of total)
ival-sqrt: 7.0ms (20.6% of total)
ival-div: 3.0ms (8.8% of total)
exact: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess309.0ms (6.3%)

Memory
-18.7MiB live, 246.3MiB allocated; 171ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01639
14838
217638
357138
4237338
5798338
01419
02319
14519
212719
338119
4142319
5670719
0807218
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 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 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
1.1MiB live, 1.1MiB 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)

simplify128.0ms (2.6%)

Memory
31.4MiB live, 172.8MiB allocated; 9ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
cost-diff0
(*.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)))))
cost-diff0
(*.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)))
cost-diff1
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01471
02371
14571
212771
338171
4142371
5670771
0807267
Stop Event
1×iter limit
1×node limit
1×iter 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)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))
Outputs
(*.f64 (*.f64 (/.f64 (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 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 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))))
(sqrt.f64 (fma.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)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize43.0ms (0.9%)

Memory
-19.2MiB live, 79.8MiB allocated; 5ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.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)))
accuracy0.0078125
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
accuracy0.01171875
(*.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)))))
accuracy0.140625
(*.f64 #s(literal 3 binary64) (*.f64 v v))
Samples
35.0ms256×0valid
Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (42.1% of total)
ival-sqrt: 4.0ms (24% of total)
ival-sub: 3.0ms (18% of total)
ival-div: 2.0ms (12% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Counts
6 → 41
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 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 (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))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
Outputs
#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 (* (* (/ (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 (* 3 (* v v)) #s(hole binary64 (* 3 (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 (- 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 (* (* (/ (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 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
v
@inf
((- 1 (* 3 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (* 3 (* v v)) (sqrt (- 1 (* 3 (* v v)))))
2.0ms
v
@0
((- 1 (* 3 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (* 3 (* v v)) (sqrt (- 1 (* 3 (* v v)))))
1.0ms
v
@-inf
((- 1 (* 3 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (* 3 (* v v)) (sqrt (- 1 (* 3 (* v v)))))

simplify193.0ms (3.9%)

Memory
-9.7MiB live, 218.1MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02231507
16651474
232961449
085361363
Stop Event
1×iter limit
1×node limit
Counts
41 → 41
Calls
Call 1
Inputs
#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 (* (* (/ (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 (* 3 (* v v)) #s(hole binary64 (* 3 (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 (- 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 (* (* (/ (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 (* (* (/ (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 (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(literal 1 binary64))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (- 1 (* 3 (* v v))) (fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 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))) (*.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))) #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))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) 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))) #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))) (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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))))) (- 1 (* v v))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#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))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
#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))))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/32 binary64) (*.f64 v v) #s(literal -3/8 binary64))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -27/64 binary64) (*.f64 v v) #s(literal -9/32 binary64))))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* 3 (* v v)) (*.f64 (*.f64 v v) #s(literal 3 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 (-.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 v v)) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 v v)) #s(literal 9/8 binary64)) v) v) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (- 1 (* 3 (* v v))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 3 binary64)) v) v))
#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))) (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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))) (*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64))))
#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))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) #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))) #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))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))))) (pow.f64 v #s(literal 3 binary64))))
#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))))) (*.f64 (*.f64 v (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#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))))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) v))
#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))))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/96 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) v))
#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 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/96 binary64) (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v))
#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)))) (*.f64 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) v))
#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)))) (*.f64 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 v v)) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) v))
#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 (sqrt (- 1 (* 3 (* v v)))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))))) v))
#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))) (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64))))
#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))) (*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 3 binary64))))
#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))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))))) (pow.f64 v #s(literal 3 binary64))))
#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))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (sqrt.f64 #s(literal 2 binary64))))
#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))))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) v))
#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))))) (*.f64 (neg.f64 v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/96 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (neg.f64 v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/96 binary64) (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (neg.f64 v) (sqrt.f64 #s(literal -3 binary64))))
#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)))) (*.f64 (neg.f64 v) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))))))
#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)))) (*.f64 (neg.f64 v) (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 v v)) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))))
#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)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (neg.f64 v) (fma.f64 #s(literal 1/24 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))))))

rewrite112.0ms (2.3%)

Memory
-4.3MiB live, 100.8MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01456
02356
17654
053550
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
6 → 68
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 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 (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))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
Outputs
(/.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 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 v v))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) (neg.f64 v)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 3 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 3 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 v #s(literal 3 binary64))) v))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 v) v) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 v v)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (/.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) #s(literal -4 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) #s(literal 4 binary64))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) (*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (*.f64 (neg.f64 v) v)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 v) v) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 v) v) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (*.f64 (neg.f64 v) v)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal -4 binary64))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) #s(literal -4 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 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))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 4 binary64)))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 3 binary64))) v)
(*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 v)) (neg.f64 v))
(*.f64 (*.f64 #s(literal 3 binary64) (fabs.f64 v)) (fabs.f64 v))
(*.f64 (*.f64 v #s(literal 3 binary64)) v)
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 3 binary64)))
(*.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 3 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1/2 binary64)))

eval15.0ms (0.3%)

Memory
-15.1MiB live, 31.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 178 to 531 computations (83.3% saved)

prune5.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1036109
Fresh000
Picked101
Done000
Total1046110
Accuracy
100.0%
Counts
110 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) (*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)))
100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) #s(literal 4 binary64))
▶99.6%
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.2%
(*.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)))
▶99.6%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶99.2%
#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 304 to 232 computations (23.7% saved)

simplify173.0ms (3.5%)

Memory
-10.3MiB live, 178.4MiB allocated; 20ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v)
cost-diff0
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff3
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
cost-diff0
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
cost-diff0
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(*.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)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#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))))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) (*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)))
cost-diff1
(*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64))
cost-diff2
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045346
071340
1140336
2413332
31572332
45974332
08169324
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) (*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))
#s(literal 1 binary64)
(pow.f64 v #s(literal 6 binary64))
v
#s(literal 6 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(literal 2 binary64)
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 v v)
(*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64))
(+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 v v (pow.f64 v #s(literal 4 binary64)))
(pow.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.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 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
#s(literal -3/8 binary64)
(*.f64 v v)
v
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -5/8 binary64)
v
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
Outputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) (*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))
#s(literal 1 binary64)
(pow.f64 v #s(literal 6 binary64))
v
#s(literal 6 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 v v)
(*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64))
(+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 v v (pow.f64 v #s(literal 4 binary64)))
(pow.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 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 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #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 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
#s(literal -3/8 binary64)
(*.f64 v v)
v
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v)
(*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))
(*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -5/8 binary64)
v
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

localize95.0ms (1.9%)

Memory
27.2MiB live, 173.8MiB allocated; 14ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.015625
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.22265625
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v)
accuracy0.22825856394990213
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.00390625
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.01953125
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
accuracy0.24066652115129042
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
accuracy0.0
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.00390625
(*.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)))
accuracy0.5279607265235837
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.0
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.5423243733083509
#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))))
accuracy0.0
(*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64))
accuracy0.0
(*.f64 v v)
accuracy0.0
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy0.0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
Samples
71.0ms256×0valid
Compiler

Compiled 312 to 41 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 22.0ms (45.3% of total)
ival-pow: 8.0ms (16.5% of total)
ival-add: 6.0ms (12.4% of total)
ival-sqrt: 5.0ms (10.3% of total)
ival-sub: 4.0ms (8.2% of total)
ival-div: 3.0ms (6.2% of total)
exact: 1.0ms (2.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.4%)

Memory
-23.7MiB live, 22.5MiB allocated; 6ms collecting garbage
Counts
18 → 80
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) (*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 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(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(*.f64 v v)
Outputs
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 2))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 4))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (sqrt 2) (+ (* -27/16 (sqrt 2)) (+ (* -1 (sqrt 2)) (+ (* 9/8 (sqrt 2)) (* 3/2 (+ (sqrt 2) (* -1 (sqrt 2)))))))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2))))))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (sqrt 2)))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (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))))
#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 2) (+ (* -3/8 (* v v)) 1/4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* -3/8 (* v v)) 1/4)) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (* (* (* (sqrt 2) -5/8) v) v) (* 1/4 (sqrt 2))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (+ (* (* (* (sqrt 2) -5/8) v) v) (* 1/4 (sqrt 2))) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (* (sqrt 2) -5/8) v) #s(hole binary64 (* -5/8 (* v (sqrt 2)))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* (pow v 4) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6)))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 6)))))))))
#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 2) (+ (* -3/8 (* v v)) 1/4)) #s(hole binary64 (* -3/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* (sqrt 2) (+ (* -3/8 (* v v)) 1/4)) #s(hole binary64 (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (* (* (* (sqrt 2) -5/8) v) v) (* 1/4 (sqrt 2))) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (+ (* (* (* (sqrt 2) -5/8) v) v) (* 1/4 (sqrt 2))) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6))))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (* (sqrt -3) (sqrt 2)))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3))))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 6))))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
v
@-inf
((* 2 (+ (* -3 (* v v)) 1)) (* (+ (+ (* v v) (pow v 4)) 1) 4) (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (sqrt 2) (+ (* -3/8 (* v v)) 1/4)) (+ (* (* (* (sqrt 2) -5/8) v) v) (* 1/4 (sqrt 2))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (sqrt 2) -5/8) v) (* (sqrt 2) -5/8) (sqrt (* 2 (+ (* -3 (* v v)) 1))) (* v v))
5.0ms
v
@inf
((* 2 (+ (* -3 (* v v)) 1)) (* (+ (+ (* v v) (pow v 4)) 1) 4) (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (sqrt 2) (+ (* -3/8 (* v v)) 1/4)) (+ (* (* (* (sqrt 2) -5/8) v) v) (* 1/4 (sqrt 2))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (sqrt 2) -5/8) v) (* (sqrt 2) -5/8) (sqrt (* 2 (+ (* -3 (* v v)) 1))) (* v v))
5.0ms
v
@0
((* 2 (+ (* -3 (* v v)) 1)) (* (+ (+ (* v v) (pow v 4)) 1) 4) (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (sqrt 2)) (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (sqrt 2) (+ (* -3/8 (* v v)) 1/4)) (+ (* (* (* (sqrt 2) -5/8) v) v) (* 1/4 (sqrt 2))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (sqrt 2) -5/8) v) (* (sqrt 2) -5/8) (sqrt (* 2 (+ (* -3 (* v v)) 1))) (* v v))

simplify202.0ms (4.1%)

Memory
26.6MiB live, 253.9MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03683342
111873104
262113057
087432839
Stop Event
1×iter limit
1×node limit
Counts
80 → 80
Calls
Call 1
Inputs
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 2))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 4))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (sqrt 2) (+ (* -27/16 (sqrt 2)) (+ (* -1 (sqrt 2)) (+ (* 9/8 (sqrt 2)) (* 3/2 (+ (sqrt 2) (* -1 (sqrt 2)))))))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2))))))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (sqrt 2)))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (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))))
#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 2) (+ (* -3/8 (* v v)) 1/4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* -3/8 (* v v)) 1/4)) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (* (* (* (sqrt 2) -5/8) v) v) (* 1/4 (sqrt 2))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (+ (* (* (* (sqrt 2) -5/8) v) v) (* 1/4 (sqrt 2))) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (* (sqrt 2) -5/8) v) #s(hole binary64 (* -5/8 (* v (sqrt 2)))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* (pow v 4) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6)))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 6)))))))))
#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 2) (+ (* -3/8 (* v v)) 1/4)) #s(hole binary64 (* -3/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* (sqrt 2) (+ (* -3/8 (* v v)) 1/4)) #s(hole binary64 (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (* (* (* (sqrt 2) -5/8) v) v) (* 1/4 (sqrt 2))) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (+ (* (* (* (sqrt 2) -5/8) v) v) (* 1/4 (sqrt 2))) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6))))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (* (sqrt -3) (sqrt 2)))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3))))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 6))))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
Outputs
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 2))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(literal 2 binary64))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 4))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(literal 4 binary64))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) v) v (*.f64 #s(literal -5/8 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 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (sqrt 2) (+ (* -27/16 (sqrt 2)) (+ (* -1 (sqrt 2)) (+ (* 9/8 (sqrt 2)) (* 3/2 (+ (sqrt 2) (* -1 (sqrt 2)))))))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2))))))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -11/16 binary64) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) v) v (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (pow.f64 v #s(literal 4 binary64)))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (sqrt 2)))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* -1 (sqrt 2)))))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (*.f64 v v) #s(literal -3/2 binary64)) (*.f64 (*.f64 #s(literal -43/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 v #s(literal 4 binary64)))) (*.f64 v v) (sqrt.f64 #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))) (*.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))) #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))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
#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))) (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) v) v (*.f64 #s(literal -5/8 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))))) (- 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))))) (- 1 (* v v))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64))) (pow.f64 v #s(literal 4 binary64)))))
#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))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#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))))) (*.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#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))))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/32 binary64) (*.f64 v v) #s(literal -3/8 binary64))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -27/64 binary64) (*.f64 v v) #s(literal -9/32 binary64))) (pow.f64 v #s(literal 4 binary64)))))
#s(approx (* (sqrt 2) (+ (* -3/8 (* v v)) 1/4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* -3/8 (* v v)) 1/4)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (+ (* -3/8 (* v v)) 1/4)) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (sqrt 2) (+ (* -3/8 (* v v)) 1/4)) (*.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* (sqrt 2) -5/8) v) v) (* 1/4 (sqrt 2))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (+ (* (* (* (sqrt 2) -5/8) v) v) (* 1/4 (sqrt 2))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* (sqrt 2) -5/8) v) v) (* 1/4 (sqrt 2))) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (* (* (* (sqrt 2) -5/8) v) v) (* 1/4 (sqrt 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
#s(approx (* (* (sqrt 2) -5/8) v) #s(hole binary64 (* -5/8 (* v (sqrt 2)))))
#s(approx (* (* (sqrt 2) -5/8) v) (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (fma.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -27/16 binary64) (*.f64 v v) #s(literal -9/8 binary64))) (pow.f64 v #s(literal 4 binary64)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (* v v) (*.f64 v v))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* (pow v 4) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) #s(literal 1/4 binary64))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 v #s(literal 7 binary64))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))))
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#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))) (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64))))
#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))) (*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) #s(literal 1/4 binary64)))))
#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))))) (- 1 (* v v))) (*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))))))
#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))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (sqrt.f64 #s(literal 2 binary64))))
#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))))) (*.f64 (neg.f64 v) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#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))))) (*.f64 (neg.f64 v) (fma.f64 #s(literal 1/96 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (neg.f64 v) (fma.f64 #s(literal 1/96 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (*.f64 (neg.f64 v) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (*.f64 (neg.f64 v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (*.f64 (neg.f64 v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))

rewrite112.0ms (2.3%)

Memory
-21.0MiB live, 131.9MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045258
071246
1257227
02068216
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
18 → 268
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) (*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 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(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(*.f64 v v)
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 v v))) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64))))) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 v v))) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64))))) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 v v))) #s(literal 1 binary64)))
(/.f64 (+.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(literal 4 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 v v))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64))))
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(/.f64 (*.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 9/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v v) #s(literal -3/32 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 9/64 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1/16 binary64))) (-.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 v v)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1/64 binary64))) (fma.f64 #s(literal 9/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v v) #s(literal -3/32 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.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 -3/8 binary64)) (*.f64 v v))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 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 1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/8 binary64)) (*.f64 v v)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.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 -3/8 binary64)) (*.f64 v v)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 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 1/4 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -3/8 binary64) v)) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/8 binary64)) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -3/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 #s(literal -3/8 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -3/8 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/8 binary64)) (*.f64 v v)))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/8 binary64)) (*.f64 v v)))
(fma.f64 (*.f64 v v) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/8 binary64)) (*.f64 v v)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #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 -1/4 binary64) (sqrt.f64 #s(literal 2 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 1/4 binary64)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/8 binary64)) (*.f64 v v)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 2 binary64))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/8 binary64) v) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/8 binary64) v) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 v)) (neg.f64 v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 v)) (fabs.f64 v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/8 binary64) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -5/8 binary64) v) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
(fma.f64 (*.f64 v v) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 v (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 2 binary64)) (fma.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/8 binary64) v) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/8 binary64) v) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v)) v))
(-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))
(-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 v) (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/8 binary64))
(*.f64 (*.f64 #s(literal -5/8 binary64) v) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v)
(*.f64 #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) v))
(*.f64 v (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))
(*.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) (*.f64 #s(literal 1 binary64) (neg.f64 v)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) (neg.f64 v))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 v)) (*.f64 #s(literal 1 binary64) (fabs.f64 v)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 v)) (fabs.f64 v))
(*.f64 (*.f64 #s(literal 1 binary64) v) (*.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 #s(literal 1 binary64) v) v)
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)))
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)))
(*.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)))
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (pow.f64 v #s(literal 1 binary64)) v)
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 (*.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
(pow.f64 (pow.f64 v #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))

eval56.0ms (1.1%)

Memory
30.8MiB live, 122.9MiB allocated; 7ms collecting garbage
Compiler

Compiled 16 633 to 1 788 computations (89.3% saved)

prune13.0ms (0.3%)

Memory
-20.9MiB live, 29.3MiB allocated; 7ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4633466
Fresh101
Picked415
Done000
Total4684472
Accuracy
100.0%
Counts
472 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
▶100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))
▶99.6%
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
✓99.2%
#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 116 to 81 computations (30.2% saved)

simplify152.0ms (3.1%)

Memory
28.7MiB live, 167.5MiB allocated; 9ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
cost-diff1
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))
cost-diff2
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
cost-diff0
(*.f64 v v)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 v v))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))
cost-diff0
(fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
cost-diff0
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043249
068245
1132239
2405239
31538239
46024239
08029230
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))
(*.f64 #s(literal -5/8 binary64) v)
#s(literal -5/8 binary64)
v
#s(literal 1/4 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))
#s(literal 1 binary64)
(pow.f64 v #s(literal 6 binary64))
v
#s(literal 6 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(literal 2 binary64)
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 v v)
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
Outputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))
(*.f64 #s(literal -5/8 binary64) v)
#s(literal -5/8 binary64)
v
#s(literal 1/4 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) v) (*.f64 #s(literal 4 binary64) v) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))
#s(literal 1 binary64)
(pow.f64 v #s(literal 6 binary64))
v
#s(literal 6 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 v v)
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) v) (*.f64 #s(literal 4 binary64) v) #s(literal 4 binary64)))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))
(fma.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) v) (*.f64 #s(literal 4 binary64) v) #s(literal 4 binary64))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)

localize197.0ms (4%)

Memory
4.2MiB live, 228.8MiB allocated; 85ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 v v)
accuracy0.0
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy0.0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
accuracy0.0
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)))
accuracy0.0
(-.f64 #s(literal 1 binary64) (*.f64 v v))
accuracy0.0
(*.f64 v v)
accuracy0.0
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy0.00390625
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
accuracy0.0
(*.f64 #s(literal -5/8 binary64) v)
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.01171875
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
accuracy0.22825856394990213
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
Samples
130.0ms256×0valid
Compiler

Compiled 232 to 39 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 32.0ms (45.8% of total)
ival-sqrt: 13.0ms (18.6% of total)
ival-add: 8.0ms (11.5% of total)
ival-div: 7.0ms (10% of total)
ival-pow: 6.0ms (8.6% of total)
ival-sub: 3.0ms (4.3% of total)
exact: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.6%)

Memory
-12.2MiB live, 30.6MiB allocated; 19ms collecting garbage
Counts
16 → 102
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v v)
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(*.f64 #s(literal -5/8 binary64) v)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
Outputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (sqrt 2) (+ (* -27/16 (sqrt 2)) (+ (* -1 (sqrt 2)) (+ (* 9/8 (sqrt 2)) (* 3/2 (+ (sqrt 2) (* -1 (sqrt 2)))))))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2))))))))))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 (+ 1/4 (* -5/8 (pow v 2)))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (sqrt 2)))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (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 (* v v) #s(hole binary64 (pow v 2)))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 2))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 4))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (sqrt 2)))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* -1 (sqrt 2)))))))))))
#s(approx (* -5/8 v) #s(hole binary64 (* -5/8 v)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 4))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6)))))))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 (* -5/8 (pow v 2))))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* -1/4 (* (pow v 3) (sqrt -6)))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -6)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (* (pow v 4) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 6)))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* (pow v 4) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6))))))))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* 1/4 (* (pow v 3) (sqrt -6)))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (sqrt -6))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (* (sqrt -3) (sqrt 2)))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3))))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 6))))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
Calls

3 calls:

TimeVariablePointExpression
19.0ms
v
@-inf
((/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) (sqrt 2) (+ (* (* -5/8 v) v) 1/4) (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (- 1 (* v v)) (* v v) (* 2 (+ (* -3 (* v v)) 1)) (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* -5/8 v) (sqrt (+ (* -6 (* v v)) 2)) (* (+ (+ (* v v) (pow v 4)) 1) 4) (sqrt (* 2 (+ (* -3 (* v v)) 1))))
4.0ms
v
@inf
((/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) (sqrt 2) (+ (* (* -5/8 v) v) 1/4) (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (- 1 (* v v)) (* v v) (* 2 (+ (* -3 (* v v)) 1)) (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* -5/8 v) (sqrt (+ (* -6 (* v v)) 2)) (* (+ (+ (* v v) (pow v 4)) 1) 4) (sqrt (* 2 (+ (* -3 (* v v)) 1))))
3.0ms
v
@0
((/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) (sqrt 2) (+ (* (* -5/8 v) v) 1/4) (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (- 1 (* v v)) (* v v) (* 2 (+ (* -3 (* v v)) 1)) (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* -5/8 v) (sqrt (+ (* -6 (* v v)) 2)) (* (+ (+ (* v v) (pow v 4)) 1) 4) (sqrt (* 2 (+ (* -3 (* v v)) 1))))

simplify221.0ms (4.5%)

Memory
34.8MiB live, 315.8MiB allocated; 79ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04663794
113763514
268643448
080453223
Stop Event
1×iter limit
1×node limit
Counts
102 → 102
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (sqrt 2) (+ (* -27/16 (sqrt 2)) (+ (* -1 (sqrt 2)) (+ (* 9/8 (sqrt 2)) (* 3/2 (+ (sqrt 2) (* -1 (sqrt 2)))))))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2))))))))))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 (+ 1/4 (* -5/8 (pow v 2)))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (sqrt 2)))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (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 (* v v) #s(hole binary64 (pow v 2)))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 2))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 4))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (sqrt 2)))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* -1 (sqrt 2)))))))))))
#s(approx (* -5/8 v) #s(hole binary64 (* -5/8 v)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 4))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6)))))))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 (* -5/8 (pow v 2))))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* -1/4 (* (pow v 3) (sqrt -6)))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (sqrt -6)))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (* 2 (+ (* -3 (* v v)) 1)) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (* (pow v 4) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 6)))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* (pow v 4) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6))))))))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* 1/4 (* (pow v 3) (sqrt -6)))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* (pow v 3) (sqrt -6))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (* (sqrt -3) (sqrt 2)))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3))))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 6))))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
Outputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) v) v (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (sqrt 2) (+ (* -27/16 (sqrt 2)) (+ (* -1 (sqrt 2)) (+ (* 9/8 (sqrt 2)) (* 3/2 (+ (sqrt 2) (* -1 (sqrt 2)))))))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2))))))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (fma.f64 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -11/16 binary64) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) v) v (fma.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))) #s(literal 1/4 binary64)) (pow.f64 v #s(literal 4 binary64)))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) (*.f64 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(literal 1/4 binary64))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 (+ 1/4 (* -5/8 (pow v 2)))))
#s(approx (+ (* (* -5/8 v) v) 1/4) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) (*.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (/ (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) 4) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
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#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 11/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 11/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* (pow v 7) (* (sqrt -3) (sqrt 2)))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (*.f64 (pow.f64 v #s(literal 7 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (*.f64 (neg.f64 (pow.f64 v #s(literal 7 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3))))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (*.f64 (neg.f64 (pow.f64 v #s(literal 7 binary64))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (/.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 4 binary64)))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) #s(hole binary64 (* -1 (* (pow v 7) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 6))))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (*.f64 (neg.f64 (pow.f64 v #s(literal 7 binary64))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (+.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (*.f64 (neg.f64 v) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (*.f64 (neg.f64 v) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) v) v) (sqrt.f64 #s(literal -6 binary64)))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (*.f64 (neg.f64 v) (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) v) v) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* -6 (* v v)) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (*.f64 (neg.f64 v) (-.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) v) v)) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (*.f64 (neg.f64 v) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (*.f64 (neg.f64 v) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 4 binary64)))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (* 2 (+ (* -3 (* v v)) 1))) (*.f64 (neg.f64 v) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 4 binary64))))))))

rewrite89.0ms (1.8%)

Memory
-3.1MiB live, 144.1MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043205
068203
1266185
02138175
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
16 → 324
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v v)
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(*.f64 #s(literal -5/8 binary64) v)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
Outputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -125/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1/16 binary64))) (-.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -125/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1/64 binary64))) (fma.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v))) (*.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 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (-.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 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) v)) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 #s(literal -5/8 binary64) v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)))
(fma.f64 (*.f64 #s(literal -5/8 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)))
(fma.f64 v (*.f64 (*.f64 #s(literal -5/8 binary64) v) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1/16 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -125/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1/64 binary64))) (neg.f64 (fma.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1/16 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal -125/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal -125/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1/64 binary64)) (fma.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 #s(literal -5/8 binary64) (neg.f64 v)) (neg.f64 v) #s(literal 1/4 binary64))
(fma.f64 (*.f64 #s(literal -5/8 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal 1/4 binary64))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))
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(fma.f64 (*.f64 (fabs.f64 v) #s(literal 2 binary64)) (*.f64 (fabs.f64 v) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 v #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(fma.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 v)) (*.f64 #s(literal 2 binary64) (neg.f64 v)) (*.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 v)) (*.f64 #s(literal 2 binary64) (neg.f64 v)) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 v)) (*.f64 #s(literal 2 binary64) (fabs.f64 v)) (*.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 v)) (*.f64 #s(literal 2 binary64) (fabs.f64 v)) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) v) (*.f64 #s(literal 2 binary64) v) (*.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) v) (*.f64 #s(literal 2 binary64) v) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) v) v (*.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) v) v (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) v) v #s(literal 4 binary64))
(fma.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal 4 binary64))
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal 4 binary64))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) (*.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) (*.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 4 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v v)) (*.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v v)) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 v (*.f64 #s(literal 4 binary64) v) (*.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(fma.f64 v (*.f64 #s(literal 4 binary64) v) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) v) #s(literal 4 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal -4 binary64))))
(-.f64 (*.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal -4 binary64))
(-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) v)) v))
(-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) (*.f64 v v)))
(-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 v) v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 4 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))) #s(literal 4 binary64))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 64 binary64) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))))
(+.f64 #s(literal 4 binary64) (*.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64))))) (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 18 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (pow.f64 v #s(literal 6 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (neg.f64 (neg.f64 #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 18 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (pow.f64 v #s(literal 6 binary64))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (neg.f64 #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (neg.f64 #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64)))) (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 18 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (pow.f64 v #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 18 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (pow.f64 v #s(literal 6 binary64))))
(*.f64 #s(literal -5/8 binary64) v)
(*.f64 v #s(literal -5/8 binary64))
(*.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64))))))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64))))))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/2 binary64)))

eval95.0ms (1.9%)

Memory
7.1MiB live, 148.2MiB allocated; 13ms collecting garbage
Compiler

Compiled 20 287 to 2 150 computations (89.4% saved)

prune12.0ms (0.3%)

Memory
-2.4MiB live, 42.5MiB allocated; 4ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New5133516
Fresh000
Picked123
Done011
Total5146520
Accuracy
100.0%
Counts
520 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
✓100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))
▶98.1%
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
✓99.6%
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
▶46.5%
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
✓99.2%
#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 205 to 144 computations (29.8% saved)

simplify133.0ms (2.7%)

Memory
-32.0MiB live, 158.2MiB allocated; 16ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
cost-diff1
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
cost-diff2
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
cost-diff0
#s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)))
cost-diff0
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049320
073320
1141314
2427312
31715312
46918312
08258299
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v)
(-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
#s(literal 1/4 binary64)
(*.f64 v v)
v
#s(literal 5/8 binary64)
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))
(*.f64 #s(literal -5/8 binary64) v)
#s(literal -5/8 binary64)
v
#s(literal 1/4 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))
#s(literal 1 binary64)
(pow.f64 v #s(literal 6 binary64))
v
#s(literal 6 binary64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(*.f64 v v)
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
Outputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)))
(*.f64 #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v)
(-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
#s(literal 1/4 binary64)
(*.f64 v v)
v
#s(literal 5/8 binary64)
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))
(*.f64 #s(literal -5/8 binary64) v)
#s(literal -5/8 binary64)
v
#s(literal 1/4 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) v) (*.f64 #s(literal 4 binary64) v) #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))
#s(literal 1 binary64)
(pow.f64 v #s(literal 6 binary64))
v
#s(literal 6 binary64)
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(*.f64 v v)
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) v) (*.f64 #s(literal 4 binary64) v) #s(literal 4 binary64)))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))
(fma.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) v) (*.f64 #s(literal 4 binary64) v) #s(literal 4 binary64))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)

localize204.0ms (4.1%)

Memory
-0.6MiB live, 201.1MiB allocated; 117ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy0.0
(*.f64 v v)
accuracy0.0
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy0.0
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.01171875
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
accuracy0.22825856394990213
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
accuracy1.0
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.11328125
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
accuracy0.1484375
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
accuracy0.22825856394990213
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
accuracy32.701493841348906
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v)
Samples
149.0ms256×0valid
Compiler

Compiled 251 to 45 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-div: 73.0ms (61.6% of total)
ival-mult: 23.0ms (19.4% of total)
ival-add: 8.0ms (6.8% of total)
ival-pow: 6.0ms (5.1% of total)
ival-sqrt: 5.0ms (4.2% of total)
ival-sub: 3.0ms (2.5% of total)
exact: 1.0ms (0.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
25.0MiB live, 25.0MiB allocated; 0ms collecting garbage
Counts
17 → 87
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)))
(sqrt.f64 #s(literal 2 binary64))
#s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v)
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(*.f64 v v)
Outputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (sqrt 2) (+ (* -27/16 (sqrt 2)) (+ (* -1 (sqrt 2)) (+ (* 9/8 (sqrt 2)) (* 3/2 (+ (sqrt 2) (* -1 (sqrt 2)))))))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2))))))))))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 (+ 1/4 (* -5/8 (pow v 2)))))
#s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (/ 1/2 (sqrt 2))))
#s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (+ (* -5/4 (/ (pow v 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 4))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (sqrt 2)))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -1 (sqrt 2)) (* 27/2 (/ 1 (pow (sqrt 2) 5))))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (- 1 (pow v 6)) #s(hole binary64 1))
#s(approx (- 1 (pow v 6)) #s(hole binary64 (+ 1 (* -1 (pow v 6)))))
#s(approx (* (- (/ 1/4 (* v v)) 5/8) v) #s(hole binary64 (/ 1/4 v)))
#s(approx (* (- (/ 1/4 (* v v)) 5/8) v) #s(hole binary64 (/ (+ 1/4 (* -5/8 (pow v 2))) v)))
#s(approx (* (* (- (/ 1/4 (* v v)) 5/8) v) v) #s(hole binary64 1/4))
#s(approx (* (* (- (/ 1/4 (* v v)) 5/8) v) v) #s(hole binary64 (+ 1/4 (* -5/8 (pow v 2)))))
#s(approx (/ 1/4 (* v v)) #s(hole binary64 (/ 1/4 (pow v 2))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 4))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6)))))))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 (* -5/8 (pow v 2))))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))))
#s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* -5/4 (/ (pow v 2) (sqrt 2)))))
#s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* (pow v 2) (- (* 1/2 (/ 1 (* (pow v 2) (sqrt 2)))) (* 5/4 (/ 1 (sqrt 2)))))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (* (pow v 4) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1/4 (* (pow v 3) (sqrt -6)))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* -1 (* (pow v 7) (sqrt -6)))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* (pow v 7) (- (* -1 (sqrt -6)) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* (pow v 7) (- (+ (* -1 (sqrt -6)) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* (pow v 7) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 6)))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (- 1 (pow v 6)) #s(hole binary64 (* -1 (pow v 6))))
#s(approx (- 1 (pow v 6)) #s(hole binary64 (* (pow v 6) (- (/ 1 (pow v 6)) 1))))
#s(approx (* (- (/ 1/4 (* v v)) 5/8) v) #s(hole binary64 (* -5/8 v)))
#s(approx (* (- (/ 1/4 (* v v)) 5/8) v) #s(hole binary64 (* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))))
#s(approx (* (* (- (/ 1/4 (* v v)) 5/8) v) v) #s(hole binary64 (* -5/8 (pow v 2))))
#s(approx (* (* (- (/ 1/4 (* v v)) 5/8) v) v) #s(hole binary64 (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* (pow v 4) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6))))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (* (pow v 3) (sqrt -6)))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* (pow v 7) (sqrt -6))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* -1 (* (pow v 7) (- (* -1 (sqrt -6)) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* -1 (* (pow v 7) (- (+ (* -1 (sqrt -6)) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* -1 (* (pow v 7) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 6)))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6)))))))))
#s(approx (* (- (/ 1/4 (* v v)) 5/8) v) #s(hole binary64 (* -1 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
v
@0
((/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) (sqrt 2) (+ (* (* -5/8 v) v) 1/4) (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (/ 2 (sqrt 2)) (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (- 1 (pow v 6)) (* (- (/ 1/4 (* v v)) 5/8) v) (* (* (- (/ 1/4 (* v v)) 5/8) v) v) (/ 1/4 (* v v)) (* (+ (+ (* v v) (pow v 4)) 1) 4) (sqrt (+ (* (* v v) -6) 2)) (* v v))
4.0ms
v
@inf
((/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) (sqrt 2) (+ (* (* -5/8 v) v) 1/4) (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (/ 2 (sqrt 2)) (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (- 1 (pow v 6)) (* (- (/ 1/4 (* v v)) 5/8) v) (* (* (- (/ 1/4 (* v v)) 5/8) v) v) (/ 1/4 (* v v)) (* (+ (+ (* v v) (pow v 4)) 1) 4) (sqrt (+ (* (* v v) -6) 2)) (* v v))
3.0ms
v
@-inf
((/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) (sqrt 2) (+ (* (* -5/8 v) v) 1/4) (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (/ 2 (sqrt 2)) (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (- 1 (pow v 6)) (* (- (/ 1/4 (* v v)) 5/8) v) (* (* (- (/ 1/4 (* v v)) 5/8) v) v) (/ 1/4 (* v v)) (* (+ (+ (* v v) (pow v 4)) 1) 4) (sqrt (+ (* (* v v) -6) 2)) (* v v))

simplify220.0ms (4.5%)

Memory
-16.2MiB live, 204.7MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04013073
111352916
252362876
084782684
Stop Event
1×iter limit
1×node limit
Counts
87 → 87
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (sqrt 2) (+ (* -27/16 (sqrt 2)) (+ (* -1 (sqrt 2)) (+ (* 9/8 (sqrt 2)) (* 3/2 (+ (sqrt 2) (* -1 (sqrt 2)))))))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2))))))))))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 (+ 1/4 (* -5/8 (pow v 2)))))
#s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (/ 1/2 (sqrt 2))))
#s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (+ (* -5/4 (/ (pow v 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 4))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (sqrt 2)))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -1 (sqrt 2)) (* 27/2 (/ 1 (pow (sqrt 2) 5))))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (- 1 (pow v 6)) #s(hole binary64 1))
#s(approx (- 1 (pow v 6)) #s(hole binary64 (+ 1 (* -1 (pow v 6)))))
#s(approx (* (- (/ 1/4 (* v v)) 5/8) v) #s(hole binary64 (/ 1/4 v)))
#s(approx (* (- (/ 1/4 (* v v)) 5/8) v) #s(hole binary64 (/ (+ 1/4 (* -5/8 (pow v 2))) v)))
#s(approx (* (* (- (/ 1/4 (* v v)) 5/8) v) v) #s(hole binary64 1/4))
#s(approx (* (* (- (/ 1/4 (* v v)) 5/8) v) v) #s(hole binary64 (+ 1/4 (* -5/8 (pow v 2)))))
#s(approx (/ 1/4 (* v v)) #s(hole binary64 (/ 1/4 (pow v 2))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 4))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6)))))))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* -5/8 (* (pow v 2) (sqrt 2)))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 (* -5/8 (pow v 2))))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))))
#s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* -5/4 (/ (pow v 2) (sqrt 2)))))
#s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* (pow v 2) (- (* 1/2 (/ 1 (* (pow v 2) (sqrt 2)))) (* 5/4 (/ 1 (sqrt 2)))))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (* (pow v 4) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1/4 (* (pow v 3) (sqrt -6)))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* -1 (* (pow v 7) (sqrt -6)))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* (pow v 7) (- (* -1 (sqrt -6)) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* (pow v 7) (- (+ (* -1 (sqrt -6)) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* (pow v 7) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 6)))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (- 1 (pow v 6)) #s(hole binary64 (* -1 (pow v 6))))
#s(approx (- 1 (pow v 6)) #s(hole binary64 (* (pow v 6) (- (/ 1 (pow v 6)) 1))))
#s(approx (* (- (/ 1/4 (* v v)) 5/8) v) #s(hole binary64 (* -5/8 v)))
#s(approx (* (- (/ 1/4 (* v v)) 5/8) v) #s(hole binary64 (* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))))
#s(approx (* (* (- (/ 1/4 (* v v)) 5/8) v) v) #s(hole binary64 (* -5/8 (pow v 2))))
#s(approx (* (* (- (/ 1/4 (* v v)) 5/8) v) v) #s(hole binary64 (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) #s(hole binary64 (* (pow v 4) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6))))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (* (pow v 3) (sqrt -6)))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* (pow v 7) (sqrt -6))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* -1 (* (pow v 7) (- (* -1 (sqrt -6)) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* -1 (* (pow v 7) (- (+ (* -1 (sqrt -6)) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* -1 (* (pow v 7) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 6)))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6)))))))))
#s(approx (* (- (/ 1/4 (* v v)) 5/8) v) #s(hole binary64 (* -1 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))
Outputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2)))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (sqrt 2) (+ (* -27/16 (sqrt 2)) (+ (* -1 (sqrt 2)) (+ (* 9/8 (sqrt 2)) (* 3/2 (+ (sqrt 2) (* -1 (sqrt 2)))))))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (+ (* -1 (+ (sqrt 2) (* -1 (sqrt 2)))) (* 3/2 (sqrt 2))))))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -11/16 binary64) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) v) v (fma.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))) #s(literal 1/4 binary64)) (pow.f64 v #s(literal 4 binary64)))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(literal 1/4 binary64))
#s(approx (+ (* (* -5/8 v) v) 1/4) #s(hole binary64 (+ 1/4 (* -5/8 (pow v 2)))))
#s(approx (+ (* (* -5/8 v) v) 1/4) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
#s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (/ 1/2 (sqrt 2))))
#s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) #s(hole binary64 (+ (* -5/4 (/ (pow v 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 4))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(literal 4 binary64))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) #s(hole binary64 (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) 4) (fma.f64 (*.f64 #s(literal 4 binary64) v) v (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 4 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (fma.f64 (*.f64 (*.f64 v v) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 v v) (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 v #s(literal 4 binary64)))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (sqrt 2)))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (fma.f64 (*.f64 #s(literal -3 binary64) v) (/.f64 v (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (fma.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 #s(literal -9/2 binary64) (*.f64 v v)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -1 (sqrt 2)) (* 27/2 (/ 1 (pow (sqrt 2) 5))))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 v v)) (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (- 1 (pow v 6)) #s(hole binary64 1))
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#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 v #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) #s(literal 1/4 binary64)))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1 (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))) (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3))))) (pow v 4))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* -1/2 (/ (+ (sqrt 2) (* -1 (sqrt 2))) (sqrt -3))) (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (+ (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5))) (* (sqrt -3) (+ (sqrt 2) (* -1 (sqrt 2))))))) (pow v 6))))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 4 binary64))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* 1/4 (* (pow v 3) (sqrt -6)))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 11/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) #s(literal -1/4 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 11/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* (pow v 7) (sqrt -6))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (*.f64 (pow.f64 v #s(literal 7 binary64)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* -1 (* (pow v 7) (- (* -1 (sqrt -6)) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (*.f64 (neg.f64 (pow.f64 v #s(literal 7 binary64))) (-.f64 (neg.f64 (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) v) v))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* -1 (* (pow v 7) (- (+ (* -1 (sqrt -6)) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (*.f64 (neg.f64 (pow.f64 v #s(literal 7 binary64))) (-.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) v) v))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) #s(hole binary64 (* -1 (* (pow v 7) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 6)))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6)))))))))
#s(approx (* (- 1 (pow v 6)) (sqrt (+ (* (* v v) -6) 2))) (*.f64 (neg.f64 (pow.f64 v #s(literal 7 binary64))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) v) v))))))
#s(approx (* (- (/ 1/4 (* v v)) 5/8) v) #s(hole binary64 (* -1 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))))
#s(approx (* (- (/ 1/4 (* v v)) 5/8) v) (*.f64 (neg.f64 v) (-.f64 #s(literal 5/8 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) v) v))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) (*.f64 (neg.f64 v) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) (*.f64 (neg.f64 v) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) v) v) (sqrt.f64 #s(literal -6 binary64)))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) (*.f64 (neg.f64 v) (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) v) v) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))
#s(approx (sqrt (+ (* (* v v) -6) 2)) (*.f64 (neg.f64 v) (-.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) v) v)) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))))

rewrite98.0ms (2%)

Memory
29.8MiB live, 132.1MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049270
073268
1284258
02270250
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
17 → 174
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)))
(sqrt.f64 #s(literal 2 binary64))
#s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v)
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(*.f64 v v)
Outputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))
(*.f64 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) v) v) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -125/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) v) v) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 25/64 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1/16 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -5/8 binary64) v) v) #s(literal 1/4 binary64)))
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(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64)))) (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 18 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (pow.f64 v #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 18 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (pow.f64 v #s(literal 6 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 18 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (pow.f64 v #s(literal 6 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 18 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (pow.f64 v #s(literal 6 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 v #s(literal 12 binary64)) (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (pow.f64 v #s(literal 18 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 12 binary64))) (pow.f64 v #s(literal 6 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (pow.f64 v #s(literal 3 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v)
(*.f64 v (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) v) (+.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 125/512 binary64)) v) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) (/.f64 #s(literal 5/32 binary64) (*.f64 v v))))
(/.f64 (*.f64 v (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64))) (+.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(/.f64 (*.f64 v (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 125/512 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) (/.f64 #s(literal 5/32 binary64) (*.f64 v v))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) (neg.f64 v)) (neg.f64 v))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) (fabs.f64 v)) (fabs.f64 v))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) (*.f64 v v))
(*.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)))
(*.f64 v (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) (*.f64 v v)) (+.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 125/512 binary64)) (*.f64 v v)) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 25/64 binary64)) (/.f64 #s(literal 5/32 binary64) (*.f64 v v))))
(/.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 v)) (neg.f64 v))
(/.f64 (/.f64 #s(literal 1/4 binary64) (fabs.f64 v)) (fabs.f64 v))
(/.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) v)) (neg.f64 v))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 v) v))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)))
(neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 v) v)))
#s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))))
(pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8 binary64))) (sqrt.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64))))))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)))
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)))
(*.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)))
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (pow.f64 v #s(literal 1 binary64)) v)
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 (pow.f64 v #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))

eval43.0ms (0.9%)

Memory
4.0MiB live, 93.9MiB allocated; 12ms collecting garbage
Compiler

Compiled 14 933 to 1 406 computations (90.6% saved)

prune39.0ms (0.8%)

Memory
-27.1MiB live, 27.0MiB allocated; 10ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New3092311
Fresh000
Picked123
Done033
Total3107317
Accuracy
100.0%
Counts
317 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
✓100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))
✓99.6%
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
✓46.5%
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
98.1%
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
97.6%
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓99.2%
#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 750 to 300 computations (60% saved)

regimes12.0ms (0.2%)

Memory
17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Counts
15 → 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))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 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 (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) #s(literal 4 binary64))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #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) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) (*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)))
Outputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
Calls

3 calls:

4.0ms
v
3.0ms
(*.f64 v v)
3.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
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)

regimes13.0ms (0.3%)

Memory
-28.3MiB live, 16.7MiB allocated; 5ms collecting garbage
Counts
12 → 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))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 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 (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))) #s(literal 4 binary64))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #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 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))
Calls

3 calls:

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

regimes8.0ms (0.2%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 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 (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) (/.f64 (fma.f64 #s(literal -5/4 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* (* -5/8 v) v) 1/4) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v))))
Outputs
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
Calls

3 calls:

3.0ms
v
2.0ms
(*.f64 v v)
2.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Results
AccuracySegmentsBranch
99.6%1(*.f64 v v)
99.6%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)))
99.6%1v
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes4.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Accuracy

Total -1.0b remaining (-180.8%)

Threshold costs -1b (-180.8%)

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))))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) #s(approx (* (/ 2 (sqrt 2)) (+ (* (* -5/8 v) v) 1/4)) (/.f64 #s(literal 1/2 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
99.2%1(*.f64 v v)
99.2%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)))
99.2%1v
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify49.0ms (1%)

Memory
-1.4MiB live, 43.2MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053114
1106114
2310114
31098114
46243114
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(approx (* (+ (+ (* v v) (pow v 4)) 1) 4) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 4 binary64))
#s(approx (/ (* (- 1 (pow v 6)) (sqrt (* 2 (+ (* -3 (* v v)) 1)))) (* (+ (+ (* v v) (pow v 4)) 1) 4)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))

derivations174.0ms (3.5%)

Memory
1.5MiB live, 143.0MiB allocated; 41ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 114 to 57 computations (50% saved)

preprocess29.0ms (0.6%)

Memory
23.5MiB live, 68.9MiB allocated; 6ms collecting garbage
Remove

(abs v)

Compiler

Compiled 340 to 188 computations (44.7% saved)

end0.0ms (0%)

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

Profiling

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