Falkner and Boettcher, Appendix B, 2

Time bar (total: 2.3s)

start0.0ms (0%)

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

analyze7.0ms (0.3%)

Memory
2.6MiB live, 2.6MiB 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)

sample1.3s (56.9%)

Memory
72.8MiB live, 1 751.3MiB allocated; 454ms collecting garbage
Samples
832.0ms8 256×0valid
1.0ms11×0invalid
Precisions
Click to see histograms. Total time spent on operations: 572.0ms
ival-mult: 216.0ms (37.8% of total)
ival-sqrt: 161.0ms (28.2% of total)
ival-sub: 114.0ms (19.9% of total)
ival-div: 59.0ms (10.3% of total)
exact: 17.0ms (3% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain182.0ms (8.1%)

Memory
-39.2MiB live, 341.8MiB allocated; 36ms 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
49.0ms512×0valid
Compiler

Compiled 165 to 46 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 14.0ms (44.5% of total)
ival-sqrt: 7.0ms (22.3% of total)
ival-sub: 5.0ms (15.9% of total)
ival-div: 4.0ms (12.7% of total)
exact: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess228.0ms (10.1%)

Memory
46.5MiB live, 229.1MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02358
16857
219957
358757
4239057
5800057
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)

prune1.0ms (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)

series11.0ms (0.5%)

Memory
-31.4MiB live, 16.6MiB allocated; 3ms collecting garbage
Counts
14 → 47
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
v
@inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (- 1 (* v v)))
2.0ms
v
@0
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (- 1 (* v v)))
2.0ms
v
@-inf
((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt 2) 4) (sqrt 2) 2 4 (sqrt (- 1 (* 3 (* v v)))) (- 1 (* 3 (* v v))) 1 (* 3 (* v v)) 3 (* v v) v (- 1 (* v v)))

rewrite65.0ms (2.9%)

Memory
-2.8MiB live, 91.1MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421702
02581514
013121417
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
61 → 86
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -4 binary64))))
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -4 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -4 binary64))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) (*.f64 #s(literal -3 binary64) (*.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) (*.f64 #s(literal -3 binary64) (*.f64 v v))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 v v))))))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) v) v)
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 #s(literal 1 binary64) (*.f64 v v)))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -5/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -5/2 binary64)) #s(literal 1/4 binary64))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))))
#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 v v)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -9/16 binary64)) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #s(literal 1/4 binary64))) (*.f64 v v) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -5/2 binary64)) #s(literal 1/4 binary64))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 v v)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (fma.f64 (*.f64 #s(literal -9/32 binary64) (*.f64 v v)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal -3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/64 binary64) (*.f64 v v)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal -9/32 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) (*.f64 v v) (*.f64 #s(literal -3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 (-.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 v v)) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 v v)) #s(literal 9/8 binary64)) (*.f64 v v)) #s(literal 3/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (- 1 (* 3 (* v v))) #s(literal 1 binary64))
#s(approx (- 1 (* 3 (* v v))) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (* 3 (* v v)) (*.f64 (*.f64 #s(literal 3 binary64) v) v))
#s(approx (* v v) (*.f64 v v))
#s(approx v v)
#s(approx (- 1 (* v v)) #s(literal 1 binary64))
#s(approx (- 1 (* v v)) (fma.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))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) (*.f64 (*.f64 v v) v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/4 binary64))) (*.f64 (*.f64 v v) v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))) (*.f64 (*.f64 v v) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal 1/4 binary64)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) (*.f64 v v))) v (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)) v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) v (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) (*.f64 v v))) v (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)) v))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (fma.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) #s(literal 1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) (*.f64 v v)))))) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) v))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) v))
#s(approx (- 1 (* 3 (* v v))) (*.f64 #s(literal -3 binary64) (*.f64 v v)))
#s(approx (- 1 (* 3 (* v v))) (*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 v v)))
#s(approx (- 1 (* v v)) (*.f64 #s(literal -1 binary64) (*.f64 v v)))
#s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal -6 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) v)) (+.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2/3 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal -1/4 binary64)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (*.f64 #s(literal -1 binary64) v) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) (*.f64 v v))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (*.f64 #s(literal -1 binary64) v) (fma.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1/32 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) (*.f64 v v)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (*.f64 #s(literal -1 binary64) v) (fma.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) #s(literal 1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) (*.f64 v v))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) v) #s(literal -1 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (*.f64 #s(literal -1 binary64) v) (fma.f64 (/.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (*.f64 #s(literal -1 binary64) v) (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (*.f64 (*.f64 #s(literal -1 binary64) v) (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))

eval10.0ms (0.5%)

Memory
23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 140 to 445 computations (85.8% saved)

prune63.0ms (2.8%)

Memory
-18.9MiB live, 78.7MiB allocated; 38ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New964100
Fresh000
Picked101
Done000
Total974101
Accuracy
100.0%
Counts
101 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -4 binary64))))
▶100.0%
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))
▶100.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶51.1%
(*.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))))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
Compiler

Compiled 129 to 81 computations (37.2% saved)

series22.0ms (1%)

Memory
-3.1MiB live, 43.4MiB allocated; 2ms collecting garbage
Counts
46 → 191
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))))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #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
#s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 v v)))
(*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 v v))
(-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 v v) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64)))
(pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) v) v)
(*.f64 #s(literal 3 binary64) v)
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v))))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -4 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -4 binary64)
(*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
(pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))
(pow.f64 v #s(literal 4 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -4 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -4 binary64)))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (- (pow (* v v) -1) 1) (* v v)) #s(hole binary64 1))
#s(approx (* (- (pow (* v v) -1) 1) (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (- (pow (* v v) -1) 1) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (- (pow (* v v) -1) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow v 2))) (pow v 2))))
#s(approx (pow (* v v) -1) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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))))))))
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#s(approx (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4)) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4)) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4)) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4)) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 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)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v))))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 1 (* (* 3 v) v)))))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (/ (- 1 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (pow (* (* 3 v) v) 3)) (+ 1 (+ (* (* (* 3 v) v) (* (* 3 v) v)) (* 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 (* (/ (* -1 (pow 2 1/2)) -4) (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (- 1 (pow v 4)) (+ 1 (* v v))))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (* -1 (pow 2 1/2)) -4) (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (- 1 (pow v 4)) (+ 1 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (/ (* -1 (pow 2 1/2)) -4) (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (- 1 (pow v 4)) (+ 1 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (* -1 (pow 2 1/2)) -4) (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (- 1 (pow v 4)) (+ 1 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (- 1 (pow v 4)) (+ 1 (* v v)))) #s(hole binary64 (* (pow v 3) (sqrt -3))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (- 1 (pow v 4)) (+ 1 (* v v)))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (/ (sqrt -3) (pow v 2))) (/ 1/2 (* (pow v 2) (sqrt -3))))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (- 1 (pow v 4)) (+ 1 (* v v)))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2))))) (/ 1/2 (* (pow v 2) (sqrt -3))))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (- 1 (pow v 4)) (+ 1 (* v v)))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2)))))) (/ 1/2 (* (pow v 2) (sqrt -3))))))))
#s(approx (pow (+ (* -3 (* v v)) 1) 1/2) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (pow (+ (* -3 (* v v)) 1) 1/2) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (pow (+ (* -3 (* v v)) 1) 1/2) #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 (pow (+ (* -3 (* v v)) 1) 1/2) #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 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -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 4)) (+ 1 (* v v))) (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4)) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4)) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4)) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4)) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
Calls

3 calls:

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

rewrite105.0ms (4.7%)

Memory
6.5MiB live, 148.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05188429
05936024
023355798
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
237 → 417
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))))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
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(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
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#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (- 1 (pow v 4)) (+ 1 (* v v)))) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2)))))) (/ 1/2 (* (pow v 2) (sqrt -3))))))))
#s(approx (pow (+ (* -3 (* v v)) 1) 1/2) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (pow (+ (* -3 (* v v)) 1) 1/2) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (pow (+ (* -3 (* v v)) 1) 1/2) #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 (pow (+ (* -3 (* v v)) 1) 1/2) #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 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -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 4)) (+ 1 (* v v))) (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4)) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4)) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4)) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4)) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
Outputs
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(*.f64 #s(approx (/ (- 1 (pow v 4)) (+ 1 (* v v))) (*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 v v))) (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64)))))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64))) (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (/ (- 1 (pow v 4)) (+ 1 (* v v))) (*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 v v)))))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64)))
(/.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -4 binary64))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
#s(literal 4 binary64)
(*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 v #s(literal 3 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 v v) v)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 3 binary64))) v) (fma.f64 (*.f64 v #s(literal 3 binary64)) v #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 3 binary64))) v) (*.f64 v #s(literal 3 binary64))) v)) (fma.f64 (*.f64 v #s(literal 3 binary64)) v #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (fma.f64 (*.f64 v #s(literal 3 binary64)) v #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 v #s(literal 3 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 v v) v)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 3 binary64))) v) (fma.f64 (*.f64 v #s(literal 3 binary64)) v #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 v #s(literal 3 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 v v) v))) (fma.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 3 binary64))) v) (fma.f64 (*.f64 v #s(literal 3 binary64)) v #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 3 binary64))) v) (fma.f64 (*.f64 v #s(literal 3 binary64)) v #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 v #s(literal 3 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 3 binary64))) v) (fma.f64 (*.f64 v #s(literal 3 binary64)) v #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 3 binary64))) v))
(+.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 3 binary64))) v)
(*.f64 (*.f64 v #s(literal 3 binary64)) v)
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 3 binary64))) v) #s(literal 1 binary64))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 3 binary64))) v))
#s(literal 3 binary64)
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
#s(approx (/ (- 1 (pow v 4)) (+ 1 (* v v))) (*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 v v)))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)) v) v)
(*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 v v))
(*.f64 (*.f64 v v) (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 (*.f64 v v) #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 (*.f64 v v)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 v v) #s(literal -1/2 binary64)) (pow.f64 (*.f64 v v) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 v #s(literal -1 binary64)) (pow.f64 v #s(literal -1 binary64)))
(pow.f64 (*.f64 v v) #s(literal -1 binary64))
(pow.f64 v #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(exp.f64 (*.f64 (log.f64 (*.f64 v v)) #s(literal -1 binary64)))
#s(literal -1 binary64)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64)))))
(*.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64))))) (fma.f64 v v #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal -4 binary64))))
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(pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
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#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) v)) (+.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) (*.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal 1/2 binary64))) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (fma.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal 1/2 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 #s(literal -2/3 binary64)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4)) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) #s(literal -1/4 binary64)))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4)) (*.f64 (*.f64 #s(literal -1 binary64) v) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) (*.f64 v v))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4)) (*.f64 (*.f64 #s(literal -1 binary64) v) (fma.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal -1/32 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) (*.f64 v v)))))))
#s(approx (* (pow (+ (* -3 (* v v)) 1) 1/2) (/ (* -1 (pow 2 1/2)) -4)) (*.f64 (*.f64 #s(literal -1 binary64) v) (fma.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)) (*.f64 v v))))))))

eval45.0ms (2%)

Memory
-2.5MiB live, 89.8MiB allocated; 7ms collecting garbage
Compiler

Compiled 16 133 to 1 480 computations (90.8% saved)

prune148.0ms (6.6%)

Memory
2.6MiB live, 190.8MiB allocated; 11ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New4040404
Fresh000
Picked044
Done000
Total4044408
Accuracy
100.0%
Counts
408 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -4 binary64))))
✓100.0%
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))
✓100.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓51.1%
(*.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))))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
Compiler

Compiled 277 to 131 computations (52.7% saved)

regimes5.0ms (0.2%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Counts
5 → 1
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))))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -4 binary64))))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Calls

3 calls:

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

regimes4.0ms (0.2%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Counts
2 → 1
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))))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Calls

3 calls:

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
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)

regimes3.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
v
1.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
51.1%1(*.f64 v v)
51.1%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)))
51.1%1v
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify33.0ms (1.4%)

Memory
-21.6MiB live, 26.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03390
15790
210290
316590
435990
5245890
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 v v))))

derivations7.0ms (0.3%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 90 to 33 computations (63.3% saved)

preprocess30.0ms (1.3%)

Memory
8.5MiB live, 54.8MiB allocated; 3ms collecting garbage
Remove

(abs v)

Compiler

Compiled 458 to 208 computations (54.6% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...