Falkner and Boettcher, Appendix B, 2

Time bar (total: 1.6s)

start0.0ms (0%)

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

analyze3.0ms (0.2%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Algorithm
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)

sample706.0ms (44.7%)

Memory
21.6MiB live, 981.6MiB allocated; 179ms collecting garbage
Samples
500.0ms8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 349.0ms
ival-sqrt: 156.0ms (44.7% of total)
ival-mult!: 152.0ms (43.6% of total)
ival-sub!: 40.0ms (11.5% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain176.0ms (11.2%)

Memory
-9.4MiB live, 321.3MiB allocated; 74ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
00-0-(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
00-0-(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
00-0-(*.f64 v v)
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
00-0-(sqrt.f64 #s(literal 2 binary64))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
00-0-#s(literal 4 binary64)
01(-1.1020934047403862e-162)0-(*.f64 #s(literal 3 binary64) (*.f64 v v))
00-0-v
00-0-#s(literal 2 binary64)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 v v))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
33.0ms512×0valid
Compiler

Compiled 165 to 46 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult!: 9.0ms (59.1% of total)
ival-sqrt: 4.0ms (26.3% of total)
ival-sub!: 2.0ms (13.1% of total)
adjust: 0.0ms (0% of total)

preprocess86.0ms (5.5%)

Memory
-28.5MiB live, 18.2MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

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

(abs v)

Compiler

Compiled 38 to 28 computations (26.3% saved)

series8.0ms (0.5%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
Counts
14 → 47
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* 1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (sqrt -3))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* -3 (pow v 2))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 3))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1/4 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (- 1 (* 3 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))
Calls

3 calls:

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

rewrite65.0ms (4.1%)

Memory
27.9MiB live, 74.6MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval10.0ms (0.6%)

Memory
-28.1MiB live, 18.6MiB allocated; 2ms collecting garbage
Compiler

Compiled 2 587 to 435 computations (83.2% saved)

prune5.0ms (0.3%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New78785
Fresh000
Picked101
Done000
Total79786
Accuracy
100.0%
Counts
86 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
45.7%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
99.9%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.4%
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
100.0%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
99.9%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))))
99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 392 to 288 computations (26.5% saved)

rewrite77.0ms (4.9%)

Memory
-14.0MiB live, 83.4MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040281
061267
1190267
01324264
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
30 → 278
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(literal 4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))))
(*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64))
#s(literal -5/2 binary64)
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3/2 binary64)
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal -4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal -4 binary64))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal -4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal -4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 #s(literal -4 binary64) (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (*.f64 #s(literal -4 binary64) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (neg.f64 v) v)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 v) v) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 v) v) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (neg.f64 v) v)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64)))
(neg.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(pow.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (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))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 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)))
(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 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 v v))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(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 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 v v))) #s(literal 1 binary64))))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))
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(fma.f64 (*.f64 v v) #s(literal -3/2 binary64) #s(literal 1 binary64))
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(-.f64 (/.f64 (*.f64 #s(literal 9/4 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -3/2 binary64) v)) v))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 v) v) #s(literal -3/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal -27/8 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 9/4 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/4 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 v v))))))
(+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 v v)))
#s(literal -3/2 binary64)

eval46.0ms (2.9%)

Memory
4.1MiB live, 96.5MiB allocated; 7ms collecting garbage
Compiler

Compiled 12 136 to 1 408 computations (88.4% saved)

prune7.0ms (0.4%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4143417
Fresh202
Picked325
Done000
Total4195424
Accuracy
100.0%
Counts
424 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
99.4%
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.9%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 128 to 97 computations (24.2% saved)

rewrite70.0ms (4.5%)

Memory
-19.6MiB live, 77.7MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039244
062234
1216233
01554230
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
29 → 362
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(fma.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -5/2 binary64) (*.f64 v v))
#s(literal -5/2 binary64)
(*.f64 v v)
v
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
#s(literal 4 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))
(pow.f64 v #s(literal 4 binary64))
(*.f64 #s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3/2 binary64)
(*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 v v #s(literal 1 binary64))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -125/8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) #s(literal 1/4 binary64)) (+.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -125/8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -125/8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -125/8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (+.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal -125/8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (+.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/2 binary64) v)) v (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) (*.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -5/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) #s(literal -5/2 binary64))))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 5/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (+.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))
(*.f64 (*.f64 #s(literal -5/2 binary64) (neg.f64 v)) (neg.f64 v))
(*.f64 (*.f64 #s(literal -5/2 binary64) (fabs.f64 v)) (fabs.f64 v))
(*.f64 (*.f64 #s(literal -5/2 binary64) v) v)
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal -5/2 binary64)))
(*.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal -5/2 binary64)))
(*.f64 (*.f64 v v) #s(literal -5/2 binary64))
(*.f64 #s(literal -5/2 binary64) (*.f64 v v))
(*.f64 v (*.f64 #s(literal -5/2 binary64) v))
#s(literal -5/2 binary64)
(*.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 v) #s(literal 1 binary64)) (*.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (*.f64 v #s(literal 1 binary64)) (*.f64 v #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) (*.f64 #s(literal 1 binary64) (neg.f64 v)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) (neg.f64 v))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 v)) (*.f64 #s(literal 1 binary64) (fabs.f64 v)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 v)) (fabs.f64 v))
(*.f64 (*.f64 #s(literal 1 binary64) v) (*.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 #s(literal 1 binary64) v) v)
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)))
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)))
(*.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)))
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (pow.f64 v #s(literal 1 binary64)) v)
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (*.f64 v v) #s(literal 1 binary64))
(*.f64 v (*.f64 v #s(literal 1 binary64)))
(*.f64 v v)
(*.f64 #s(literal 1 binary64) (*.f64 v v))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
(pow.f64 v #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
(*.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))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
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#s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (pow.f64 v #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 v v))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9/4 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27/8 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 9/4 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 v v))))))
(/.f64 (fma.f64 #s(literal 9/4 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -27/8 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9/4 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -3/2 binary64) (*.f64 v v)))))
(/.f64 (fma.f64 #s(literal -27/8 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 9/4 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 v v)))))
(fma.f64 (*.f64 #s(literal -3/2 binary64) (neg.f64 v)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -3/2 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -3/2 binary64) v) (*.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -3/2 binary64) v) v #s(literal 1 binary64))
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -3/2 binary64) #s(literal 1 binary64))
(fma.f64 v (*.f64 #s(literal -3/2 binary64) v) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 9/4 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -3/2 binary64) v)) v))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 v) v) #s(literal -3/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal -27/8 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 9/4 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/4 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 v v))))))
(+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 v v)))
#s(literal -3/2 binary64)
(*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)) (-.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 v v)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 v v)))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 v v))))
(/.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(fma.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 v) #s(literal 1 binary64)) (*.f64 (fabs.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal 1 binary64)) (*.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) (*.f64 #s(literal 1 binary64) (neg.f64 v)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 v)) (*.f64 #s(literal 1 binary64) (fabs.f64 v)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) v) (*.f64 #s(literal 1 binary64) v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) v) v #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) #s(literal 1 binary64))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) v #s(literal 1 binary64))
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 v) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 v) (fabs.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 v v #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 v v) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (*.f64 v v) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 v)) (neg.f64 v)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 v)) (fabs.f64 v)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))
(+.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
(+.f64 (*.f64 v v) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 v v))

eval51.0ms (3.2%)

Memory
4.4MiB live, 96.5MiB allocated; 7ms collecting garbage
Compiler

Compiled 12 977 to 1 827 computations (85.9% saved)

prune6.0ms (0.4%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4302432
Fresh000
Picked213
Done022
Total4325437
Accuracy
100.0%
Counts
437 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
99.4%
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.9%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
98.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 130 to 100 computations (23.1% saved)

rewrite151.0ms (9.5%)

Memory
8.7MiB live, 54.5MiB allocated; 135ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027131
039131
1133129
0993127
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
16 → 136
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(fma.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -5/2 binary64) (*.f64 v v))
#s(literal -5/2 binary64)
(*.f64 v v)
v
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -125/8 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -125/8 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))))
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -125/8 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
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#s(literal -5/2 binary64)
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(*.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)))
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(pow.f64 (neg.f64 v) #s(literal 2 binary64))
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(pow.f64 v #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
(*.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))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(/.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
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(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(literal 1/4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (*.f64 (fma.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -125/8 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5/2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -125/8 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5/2 binary64)))))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) #s(literal -5/2 binary64))))
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(+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) #s(literal -5/2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
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(/.f64 (fma.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -125/8 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (*.f64 v v) #s(literal -5/2 binary64)))))
(/.f64 (fma.f64 #s(literal -125/8 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5/2 binary64)))))
(fma.f64 (*.f64 #s(literal -5/2 binary64) (neg.f64 v)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -5/2 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 v #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -5/2 binary64) v) v #s(literal 1 binary64))
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal -5/2 binary64)) #s(literal 1 binary64))
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(fma.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 v (*.f64 (*.f64 #s(literal -5/2 binary64) v) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 v (*.f64 #s(literal -5/2 binary64) v) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal -1 binary64))))
(-.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -5/2 binary64) v)) v))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 v) v) #s(literal -5/2 binary64)))
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(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) (*.f64 #s(literal -5/2 binary64) v)))
(+.f64 (/.f64 (*.f64 #s(literal -125/8 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 25/4 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5/2 binary64))))))
(+.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5/2 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))

eval24.0ms (1.5%)

Memory
-21.8MiB live, 33.4MiB allocated; 14ms collecting garbage
Compiler

Compiled 5 807 to 622 computations (89.3% saved)

prune7.0ms (0.5%)

Memory
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1540154
Fresh000
Picked022
Done033
Total1545159
Accuracy
100.0%
Counts
159 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
99.4%
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.9%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
98.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
99.4%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 490 to 185 computations (62.2% saved)

regimes11.0ms (0.7%)

Memory
-28.4MiB live, 18.3MiB allocated; 2ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)))) (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) #s(approx (- 1 (* v v)) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 v v))))
Outputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
Calls

3 calls:

4.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
3.0ms
v
3.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
100.0%1(*.f64 v v)
100.0%1(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
100.0%1v
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.3%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/2 binary64)) (*.f64 v v)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (sqrt (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
Calls

3 calls:

2.0ms
v
2.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.9%1(*.f64 v v)
99.9%1(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.9%1v
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes3.0ms (0.2%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Outputs
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Calls

3 calls:

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

Compiled 23 to 17 computations (26.1% saved)

regimes3.0ms (0.2%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

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

Compiled 23 to 17 computations (26.1% saved)

derivations31.0ms (1.9%)

Memory
-8.9MiB live, 38.1MiB allocated; 3ms collecting garbage
Stop Event
done
Compiler

Compiled 96 to 36 computations (62.5% saved)

preprocess26.0ms (1.7%)

Memory
-1.1MiB live, 47.2MiB allocated; 5ms collecting garbage
Remove

(abs v)

Compiler

Compiled 422 to 252 computations (40.3% saved)

end0.0ms (0%)

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

Profiling

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