Falkner and Boettcher, Equation (20:1,3)

Time bar (total: 3.3s)

start0.0ms (0%)

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

analyze61.0ms (1.9%)

Memory
-21.5MiB live, 83.0MiB allocated; 46ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%50%0.1%0%50%0%4
0%0%50%0.1%0%50%0%5
37.5%18.7%31.2%0.1%0%50%0%6
43.8%21.9%28.1%0.1%0%50%0%7
65.6%32.8%17.2%0.1%0%50%0%8
70.3%35.1%14.8%0.1%0%50%0%9
82%41%9%0.1%0%50%0%10
84.8%42.3%7.6%0.1%0%50%0%11
90.8%45.4%4.6%0.1%0%50%0%12
Compiler

Compiled 30 to 21 computations (30% saved)

sample1.2s (35.6%)

Memory
51.4MiB live, 1 602.1MiB allocated; 252ms collecting garbage
Samples
821.0ms8 255×0valid
1.0ms13×0invalid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 624.0ms
ival-mult!: 399.0ms (63.9% of total)
ival-sqrt: 94.0ms (15.1% of total)
ival-sub!: 93.0ms (14.9% of total)
ival-div!: 37.0ms (5.9% of total)
adjust: 2.0ms (0.3% of total)
ival-pi: 0.0ms (0% of total)
Bogosity

explain281.0ms (8.6%)

Memory
-5.5MiB live, 418.4MiB allocated; 41ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 #s(literal 5 binary64) (*.f64 v v))
00-0-(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-t
00-0-#s(literal 5 binary64)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
00-0-(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
00-0-v
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
00-0-(PI.f64)
00-0-(*.f64 (PI.f64) t)
00-0-(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
00-0-(*.f64 v v)
00-0-(*.f64 #s(literal 3 binary64) (*.f64 v v))
00-0-(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
00-0-#s(literal 2 binary64)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 v v))
00-0-(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 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
97.0ms512×0valid
Compiler

Compiled 278 to 61 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult!: 14.0ms (57.8% of total)
ival-sqrt: 4.0ms (16.5% of total)
ival-sub!: 3.0ms (12.4% of total)
ival-div!: 2.0ms (8.3% of total)
adjust: 0.0ms (0% of total)

preprocess140.0ms (4.3%)

Memory
31.1MiB live, 221.0MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050170
1171170
2706156
33652156
01928
03228
16928
225226
3182726
0862024
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Symmetry

(abs v)

(negabs t)

Compiler

Compiled 28 to 19 computations (32.1% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Compiler

Compiled 28 to 19 computations (32.1% saved)

series60.0ms (1.8%)

Memory
-3.1MiB live, 42.9MiB allocated; 3ms collecting garbage
Counts
19 → 73
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
Outputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (/ 1 (* t (* (PI) (sqrt 2))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* 5 (* v v)) #s(hole binary64 (* 5 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -1 (* t (* (PI) (sqrt 2)))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (* 3/2 (* t (* (PI) (sqrt 2))))))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (+ (* 3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (PI) (sqrt 2)))) (* 9/8 (* t (* (PI) (sqrt 2)))))))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(hole binary64 2))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#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 (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))))
#s(approx (* (PI) t) #s(hole binary64 (* t (PI))))
#s(approx t #s(hole binary64 t))
Calls

6 calls:

TimeVariablePointExpression
35.0ms
v
@inf
((/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (PI) t (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) 2 (- 1 (* 3 (* v v))) (* 3 (* v v)) 3 (- 1 (* v v)))
7.0ms
t
@-inf
((/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (PI) t (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) 2 (- 1 (* 3 (* v v))) (* 3 (* v v)) 3 (- 1 (* v v)))
5.0ms
t
@0
((/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (PI) t (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) 2 (- 1 (* 3 (* v v))) (* 3 (* v v)) 3 (- 1 (* v v)))
4.0ms
v
@0
((/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (PI) t (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) 2 (- 1 (* 3 (* v v))) (* 3 (* v v)) 3 (- 1 (* v v)))
4.0ms
t
@inf
((/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (PI) t (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) 2 (- 1 (* 3 (* v v))) (* 3 (* v v)) 3 (- 1 (* v v)))

rewrite140.0ms (4.3%)

Memory
-2.8MiB live, 146.1MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03893652
04143266
022193100
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
92 → 132
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (/ 1 (* t (* (PI) (sqrt 2))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* 5 (* v v)) #s(hole binary64 (* 5 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -1 (* t (* (PI) (sqrt 2)))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (* 3/2 (* t (* (PI) (sqrt 2))))))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (+ (* 3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (PI) (sqrt 2)))) (* 9/8 (* t (* (PI) (sqrt 2)))))))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(hole binary64 2))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 3 (* v v))) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (* 3 (* v v)) #s(hole binary64 (* 3 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (* (sqrt -3) (sqrt 2)))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#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 (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))))
#s(approx (* (PI) t) #s(hole binary64 (* t (PI))))
#s(approx t #s(hole binary64 t))
Outputs
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)))) (/.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) (*.f64 (*.f64 #s(literal 5 binary64) v) v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) v) v)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (*.f64 #s(literal -5 binary64) (*.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) (*.f64 (*.f64 #s(literal 5 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) v) v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))))))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) v) v))
(+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 5 binary64) v) v)
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
(PI.f64)
t
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(pow.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(+.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 2 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)))
(*.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 (-.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 (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (fma.f64 (/.f64 (/.f64 (*.f64 v v) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal -5/2 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -53/8 binary64) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (/.f64 #s(literal 5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal -1 binary64)) #s(literal -241/16 binary64)) (*.f64 v v)) (/.f64 #s(literal 53/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v)) (/.f64 #s(literal 5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal -1 binary64))))
#s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64))
#s(approx (- 1 (* 5 (* v v))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (* 5 (* v v)) (*.f64 (*.f64 #s(literal 5 binary64) v) v))
#s(approx (* v v) (*.f64 v v))
#s(approx v v)
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal -5/2 binary64)) (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal -5/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal 3/8 binary64)) (*.f64 v v))) (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal -5/2 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal -9/16 binary64)) (*.f64 v v))) (*.f64 v v))) (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (fma.f64 (*.f64 #s(literal -3/2 binary64) t) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (fma.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) t) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (fma.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (*.f64 (*.f64 #s(literal -27/16 binary64) t) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 v v))) (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) (fma.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) (fma.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
#s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 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 (- 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)))
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#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) t)))) v)))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v)))
#s(approx (sqrt (* 2 (- 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 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) v)))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) v)))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))))) v)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (* (PI) t) (*.f64 (PI.f64) t))
#s(approx t t)

eval19.0ms (0.6%)

Memory
-11.6MiB live, 34.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 6 654 to 778 computations (88.3% saved)

prune9.0ms (0.3%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1499158
Fresh000
Picked101
Done000
Total1509159
Accuracy
99.7%
Counts
159 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 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 #s(literal 1 binary64) (*.f64 v v))))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
▶99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
46.7%
(/.f64 #s(approx (- 1 (* 5 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Compiler

Compiled 596 to 418 computations (29.9% saved)

series67.0ms (2%)

Memory
-19.5MiB live, 83.3MiB allocated; 10ms collecting garbage
Counts
48 → 215
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(PI.f64)
(*.f64 t (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))
t
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))
(*.f64 (PI.f64) t)
(sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 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 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 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 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 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))))))
(sqrt.f64 (*.f64 #s(literal 2 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 #s(literal 2 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 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) v) v) (*.f64 (*.f64 #s(literal 3 binary64) v) v))
(*.f64 (*.f64 #s(literal 3 binary64) v) v)
(*.f64 #s(literal 3 binary64) v)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) v) v))
Outputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v)))) #s(hole binary64 (/ 1 (* t (* (PI) (sqrt 2))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v)))) #s(hole binary64 (+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* 5 (* v v)) #s(hole binary64 (* 5 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -1 (* t (* (PI) (sqrt 2)))))))))
#s(approx (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (* 3/2 (* t (* (PI) (sqrt 2))))))))))))
#s(approx (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (+ (* 3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (PI) (sqrt 2)))) (* 9/8 (* t (* (PI) (sqrt 2)))))))))))))))
#s(approx (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) #s(hole binary64 (+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))))
#s(approx (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))))
#s(approx (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))))
#s(approx (* t (sqrt (* (+ (* -3 (* v v)) 1) 2))) #s(hole binary64 (* t (sqrt 2))))
#s(approx (* t (sqrt (* (+ (* -3 (* v v)) 1) 2))) #s(hole binary64 (+ (* -3/2 (* t (* (pow v 2) (sqrt 2)))) (* t (sqrt 2)))))
#s(approx (* t (sqrt (* (+ (* -3 (* v v)) 1) 2))) #s(hole binary64 (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3/2 (* t (sqrt 2))) (* -9/8 (* t (* (pow v 2) (sqrt 2)))))))))
#s(approx (* t (sqrt (* (+ (* -3 (* v v)) 1) 2))) #s(hole binary64 (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3/2 (* t (sqrt 2))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (sqrt 2)))) (* -9/8 (* t (sqrt 2))))))))))
#s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (* (+ (* -3 (* v v)) 1) 2) #s(hole binary64 2))
#s(approx (* (+ (* -3 (* v v)) 1) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -3 (* v v)) 1) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (/ 1 (* t (* (PI) (sqrt 2))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -1 (* t (* (PI) (sqrt 2)))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (* 3/2 (* t (* (PI) (sqrt 2))))))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (+ (* 3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (PI) (sqrt 2)))) (* 9/8 (* t (* (PI) (sqrt 2)))))))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))))
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#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v))) #s(hole binary64 (* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) #s(hole binary64 (* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))))
#s(approx (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v)))) #s(hole binary64 (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (+ 1 (* -3 (pow v 2))))))))
#s(approx (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v))) #s(hole binary64 (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx (* t (sqrt (* (+ (* -3 (* v v)) 1) 2))) #s(hole binary64 (* (* t (sqrt 2)) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx t #s(hole binary64 t))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))))
#s(approx (* (* (sqrt 2) (PI)) t) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))))
#s(approx (* (PI) t) #s(hole binary64 (* t (PI))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v)))) #s(hole binary64 (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ (+ 1 (* 3 (pow v 2))) (- 1 (* 9 (pow v 4))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v))) #s(hole binary64 (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (/ (- 1 (* 9 (pow v 4))) (+ 1 (* 3 (pow v 2))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (/ (- 1 (* 9 (pow v 4))) (+ 1 (* 3 (pow v 2))))))))
Calls

6 calls:

TimeVariablePointExpression
23.0ms
v
@inf
((/ (- 1 (* 5 (* v v))) (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v))) (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2))) t (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (+ (* -3 (* v v)) 1) 2) (+ (* -3 (* v v)) 1) -3 2 (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (sqrt 2) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (+ (* -6 (* v v)) 2) -6 (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))))) (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))) (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (* (* 3 v) v) (* (* 3 v) v)) (* (* 3 v) v) (* 3 v) 3 (+ 1 (* (* 3 v) v)))
9.0ms
t
@-inf
((/ (- 1 (* 5 (* v v))) (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v))) (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2))) t (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (+ (* -3 (* v v)) 1) 2) (+ (* -3 (* v v)) 1) -3 2 (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (sqrt 2) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (+ (* -6 (* v v)) 2) -6 (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))))) (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))) (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (* (* 3 v) v) (* (* 3 v) v)) (* (* 3 v) v) (* 3 v) 3 (+ 1 (* (* 3 v) v)))
9.0ms
t
@0
((/ (- 1 (* 5 (* v v))) (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v))) (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2))) t (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (+ (* -3 (* v v)) 1) 2) (+ (* -3 (* v v)) 1) -3 2 (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (sqrt 2) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (+ (* -6 (* v v)) 2) -6 (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))))) (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))) (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (* (* 3 v) v) (* (* 3 v) v)) (* (* 3 v) v) (* 3 v) 3 (+ 1 (* (* 3 v) v)))
8.0ms
t
@inf
((/ (- 1 (* 5 (* v v))) (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v))) (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2))) t (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (+ (* -3 (* v v)) 1) 2) (+ (* -3 (* v v)) 1) -3 2 (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (sqrt 2) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (+ (* -6 (* v v)) 2) -6 (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))))) (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))) (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (* (* 3 v) v) (* (* 3 v) v)) (* (* 3 v) v) (* 3 v) 3 (+ 1 (* (* 3 v) v)))
5.0ms
v
@-inf
((/ (- 1 (* 5 (* v v))) (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v))) (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2))) t (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (+ (* -3 (* v v)) 1) 2) (+ (* -3 (* v v)) 1) -3 2 (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (sqrt 2) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (+ (* -6 (* v v)) 2) -6 (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))))) (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))) (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))) (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (* (* (* 3 v) v) (* (* 3 v) v)) (* (* 3 v) v) (* 3 v) 3 (+ 1 (* (* 3 v) v)))

rewrite151.0ms (4.7%)

Memory
18.5MiB live, 111.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064112389
071710121
030579812
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
263 → 395
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(PI.f64)
(*.f64 t (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))
t
(sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
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#s(approx (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))))
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#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
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#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
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#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v))) #s(hole binary64 (* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) #s(hole binary64 (* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))))
#s(approx (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) (- 1 (* v v)))) #s(hole binary64 (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (+ 1 (* -3 (pow v 2))))))))
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#s(approx (* (PI) (* t (sqrt (* (+ (* -3 (* v v)) 1) 2)))) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx (* t (sqrt (* (+ (* -3 (* v v)) 1) 2))) #s(hole binary64 (* (* t (sqrt 2)) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx t #s(hole binary64 t))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))))
#s(approx (* (* (sqrt 2) (PI)) t) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))))
#s(approx (* (PI) t) #s(hole binary64 (* t (PI))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v)))) #s(hole binary64 (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ (+ 1 (* 3 (pow v 2))) (- 1 (* 9 (pow v 4))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (/ (- 1 (* (* (* 3 v) v) (* (* 3 v) v))) (+ 1 (* (* 3 v) v)))))) (- 1 (* v v))) #s(hole binary64 (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (/ (- 1 (* 9 (pow v 4))) (+ 1 (* 3 (pow v 2))))))))
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Outputs
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #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))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.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 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 (/.f64 #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 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) (*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) (*.f64 (*.f64 #s(literal 5 binary64) v) v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) v) v)))
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#s(approx t t)
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#s(approx (* (* (sqrt 2) (PI)) t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
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#s(approx (* (PI) t) (*.f64 (PI.f64) t))
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eval80.0ms (2.5%)

Memory
-30.0MiB live, 65.8MiB allocated; 12ms collecting garbage
Compiler

Compiled 21 107 to 1 833 computations (91.3% saved)

prune15.0ms (0.5%)

Memory
24.3MiB live, 24.3MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New50810518
Fresh314
Picked505
Done000
Total51611527
Accuracy
99.7%
Counts
527 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
98.9%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.0%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
99.3%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
▶99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
98.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶98.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
46.3%
(/.f64 #s(approx (- 1 (* 5 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
▶99.0%
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
Compiler

Compiled 756 to 554 computations (26.7% saved)

series43.0ms (1.3%)

Memory
9.3MiB live, 56.2MiB allocated; 3ms collecting garbage
Counts
39 → 143
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
(PI.f64)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (PI.f64) t)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(approx (- 1 (* v v)) #s(literal 1 binary64))
Outputs
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (/ 1 (* t (* (PI) (sqrt 2))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* 5 (* v v)) #s(hole binary64 (* 5 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -1 (* t (* (PI) (sqrt 2)))))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (* 3/2 (* t (* (PI) (sqrt 2))))))))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (+ (* 3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (PI) (sqrt 2)))) (* 9/8 (* t (* (PI) (sqrt 2)))))))))))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* t (sqrt 2))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (* -3/2 (* t (* (pow v 2) (sqrt 2)))) (* t (sqrt 2)))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3/2 (* t (sqrt 2))) (* -9/8 (* t (* (pow v 2) (sqrt 2)))))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3/2 (* t (sqrt 2))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (sqrt 2)))) (* -9/8 (* t (sqrt 2))))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 1))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (/ 1 (* t (* (PI) (sqrt 2))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -1 (* t (* (PI) (sqrt 2)))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (* 3/2 (* t (* (PI) (sqrt 2))))))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (+ (* 3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (PI) (sqrt 2)))) (* 9/8 (* t (* (PI) (sqrt 2)))))))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(hole binary64 2))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 2))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* -1 (* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))))))))
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#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (+ 1 (* -3 (pow v 2))))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* (* t (sqrt 2)) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx (* (sqrt 2) t) #s(hole binary64 (* t (sqrt 2))))
#s(approx t #s(hole binary64 t))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))))
#s(approx (* (* (sqrt 2) (PI)) t) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) t) (sqrt 2)) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (PI) t) #s(hole binary64 (* t (PI))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))))
Calls

6 calls:

TimeVariablePointExpression
17.0ms
v
@-inf
((/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) (* (sqrt 2) t) (sqrt 2) 2 t (sqrt (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) -3 (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt 2)) (* (PI) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (+ (* -6 (* v v)) 2) -6 (- 1 (* v v)))
6.0ms
t
@-inf
((/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) (* (sqrt 2) t) (sqrt 2) 2 t (sqrt (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) -3 (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt 2)) (* (PI) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (+ (* -6 (* v v)) 2) -6 (- 1 (* v v)))
5.0ms
t
@inf
((/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) (* (sqrt 2) t) (sqrt 2) 2 t (sqrt (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) -3 (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt 2)) (* (PI) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (+ (* -6 (* v v)) 2) -6 (- 1 (* v v)))
5.0ms
t
@0
((/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) (* (sqrt 2) t) (sqrt 2) 2 t (sqrt (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) -3 (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt 2)) (* (PI) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (+ (* -6 (* v v)) 2) -6 (- 1 (* v v)))
3.0ms
v
@inf
((/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) (* (sqrt 2) t) (sqrt 2) 2 t (sqrt (+ (* (* v v) -3) 1)) (+ (* (* v v) -3) 1) -3 (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt 2)) (* (PI) t) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (+ (* -6 (* v v)) 2) -6 (- 1 (* v v)))

rewrite126.0ms (3.9%)

Memory
-29.9MiB live, 159.2MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05657773
06216851
030066652
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
182 → 263
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
(PI.f64)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (PI.f64) t)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(approx (- 1 (* v v)) #s(literal 1 binary64))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (/ 1 (* t (* (PI) (sqrt 2))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* 5 (* v v)) #s(hole binary64 (* 5 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -1 (* t (* (PI) (sqrt 2)))))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (* 3/2 (* t (* (PI) (sqrt 2))))))))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (+ (* 3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (PI) (sqrt 2)))) (* 9/8 (* t (* (PI) (sqrt 2)))))))))))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* t (sqrt 2))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (* -3/2 (* t (* (pow v 2) (sqrt 2)))) (* t (sqrt 2)))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3/2 (* t (sqrt 2))) (* -9/8 (* t (* (pow v 2) (sqrt 2)))))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3/2 (* t (sqrt 2))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (sqrt 2)))) (* -9/8 (* t (sqrt 2))))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 1))
#s(approx (+ (* (* v v) -3) 1) #s(hole binary64 (+ 1 (* -3 (pow v 2)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (/ 1 (* t (* (PI) (sqrt 2))))))
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#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* t (* v (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (* t (sqrt 2)) (* (pow v 2) (sqrt -3)))) (* t (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (sqrt 2)) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (sqrt 2)) (* (pow v 2) (sqrt -3)))) (* t (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (sqrt 2)) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (sqrt 2)) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (sqrt 2)) (* (pow v 2) (sqrt -3)))) (* t (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (+ 1 (* -3 (pow v 2))))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* (* t (sqrt 2)) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx (* (sqrt 2) t) #s(hole binary64 (* t (sqrt 2))))
#s(approx t #s(hole binary64 t))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))))
#s(approx (* (* (sqrt 2) (PI)) t) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) t) (sqrt 2)) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (PI) t) #s(hole binary64 (* t (PI))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))))
Outputs
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (/.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) (*.f64 (*.f64 #s(literal 5 binary64) v) v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) v) v)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (*.f64 #s(literal -5 binary64) (*.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) (*.f64 (*.f64 #s(literal 5 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) v) v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))))))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) v) v))
(+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 5 binary64) v) v)
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 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 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 t (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (PI.f64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 t (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
(PI.f64)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (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)) t))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
(*.f64 t (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 3 binary64)) (*.f64 (*.f64 v v) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 v v) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 v v) #s(literal 3 binary64)) (*.f64 (*.f64 v v) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (*.f64 (*.f64 v v) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
#s(literal -3 binary64)
(/.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))
(/.f64 (neg.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64))) (neg.f64 #s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
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#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) (/.f64 (*.f64 #s(literal -5 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) v) t)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 t (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))))) (/.f64 (/.f64 #s(literal 5/18 binary64) t) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) (sqrt.f64 #s(literal -2/3 binary64))))) v)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) (neg.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) t) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64) (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) t) (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))) (/.f64 #s(literal -5/72 binary64) (*.f64 (*.f64 t (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) (PI.f64))))) (+.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 (*.f64 t (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) (PI.f64)))) (/.f64 (/.f64 #s(literal 5/18 binary64) t) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) (sqrt.f64 #s(literal -2/3 binary64)))))) v)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) (neg.f64 (/.f64 (-.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) t) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64) (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) t) (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64) (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) t) (*.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 t (pow.f64 v #s(literal 6 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) (PI.f64))))) (/.f64 #s(literal -5/72 binary64) (*.f64 (*.f64 t (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) (PI.f64))))) (/.f64 #s(literal -25/1296 binary64) (*.f64 (*.f64 t (pow.f64 v #s(literal 6 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) (PI.f64))))) (+.f64 (/.f64 (/.f64 #s(literal 2/9 binary64) t) (*.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (PI.f64)) (sqrt.f64 #s(literal -2/3 binary64)))) (+.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 (*.f64 t (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -2/3 binary64)) (PI.f64)))) (/.f64 (/.f64 #s(literal 5/18 binary64) t) (*.f64 (*.f64 (*.f64 v v) (PI.f64)) (sqrt.f64 #s(literal -2/3 binary64))))))) v)))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (*.f64 (*.f64 t (pow.f64 v #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) t) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) t))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) t) (*.f64 v v))))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) t))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 6 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)) (pow.f64 v #s(literal 6 binary64)))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) t) (*.f64 v v))))))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) t))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) v) t)))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) t)) v)))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) t))) v)))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) t)))) v)))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v)))
#s(approx (sqrt (* 2 (- 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 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))) v)))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64)))) v)))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -6 binary64))))) v)))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (* (sqrt 2) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
#s(approx t t)
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (sqrt 2) (PI)) t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
#s(approx (* (* (sqrt 2) (PI)) t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
#s(approx (* (PI) t) (*.f64 (PI.f64) t))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))

eval75.0ms (2.3%)

Memory
2.7MiB live, 114.3MiB allocated; 61ms collecting garbage
Compiler

Compiled 16 069 to 1 327 computations (91.7% saved)

prune17.0ms (0.5%)

Memory
3.5MiB live, 51.7MiB allocated; 5ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3855390
Fresh246
Picked415
Done000
Total39110401
Accuracy
99.7%
Counts
401 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶98.9%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
99.0%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶99.0%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
▶99.3%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
46.3%
(/.f64 #s(approx (- 1 (* 5 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
✓99.0%
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
98.9%
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
▶98.9%
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
Compiler

Compiled 691 to 499 computations (27.8% saved)

series56.0ms (1.7%)

Memory
-17.9MiB live, 124.3MiB allocated; 14ms collecting garbage
Counts
45 → 223
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(*.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
(*.f64 (PI.f64) t)
(PI.f64)
t
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
#s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(approx (- 1 (* v v)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) (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
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (- 1 (* v v))) #s(hole binary64 (/ 1 (* t (* (PI) (sqrt 2))))))
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (- 1 (* v v))) #s(hole binary64 (+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (- 1 (* v v))) #s(hole binary64 (+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (- 1 (* v v))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) #s(hole binary64 (/ 1 (* t (* (PI) (sqrt 2))))))
#s(approx (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) #s(hole binary64 (+ (* -7/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) #s(hole binary64 (+ (* (pow v 2) (- (* -33/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 7/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -135/16 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 33/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 7/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (+ (* -5 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -5 (* v v)) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t)) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t)) #s(hole binary64 (+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t)) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t)) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))))
#s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (* (+ (* -3 (* v v)) 1) 2) #s(hole binary64 2))
#s(approx (* (+ (* -3 (* v v)) 1) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (+ (* (* v v) -6) 2) #s(hole binary64 2))
#s(approx (+ (* (* v v) -6) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (/ 1 (* t (* (PI) (sqrt 2))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -1 (* t (* (PI) (sqrt 2)))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (* 3/2 (* t (* (PI) (sqrt 2))))))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (+ (* 3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (PI) (sqrt 2)))) (* 9/8 (* t (* (PI) (sqrt 2)))))))))))))))
#s(approx (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (/ 1 (* t (* (PI) (sqrt 2))))))
#s(approx (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (+ (* (* v v) -5) 1) #s(hole binary64 1))
#s(approx (+ (* (* v v) -5) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(hole binary64 2))
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 2))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (/ 1 (* t (* (PI) (sqrt 2))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))))
#s(approx (* 5 (* v v)) #s(hole binary64 (* 5 (pow v 2))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -1 (* t (* (PI) (sqrt 2)))))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (* 3/2 (* t (* (PI) (sqrt 2))))))))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (+ (* 3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (PI) (sqrt 2)))) (* 9/8 (* t (* (PI) (sqrt 2)))))))))))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* t (sqrt 2))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (* -3/2 (* t (* (pow v 2) (sqrt 2)))) (* t (sqrt 2)))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3/2 (* t (sqrt 2))) (* -9/8 (* t (* (pow v 2) (sqrt 2)))))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3/2 (* t (sqrt 2))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (sqrt 2)))) (* -9/8 (* t (sqrt 2))))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))))
#s(approx (+ (* -3/2 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -3/2 (* v v)) 1) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (- 1 (* v v))) #s(hole binary64 (* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))))
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (- 1 (* v v))) #s(hole binary64 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)))
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (- 1 (* v v))) #s(hole binary64 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)))
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (- 1 (* v v))) #s(hole binary64 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)))
#s(approx (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) #s(hole binary64 (* -5 (/ (* v (sqrt -1/3)) (* t (* (PI) (sqrt 2)))))))
#s(approx (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) #s(hole binary64 (* v (+ (* -5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2))))))))))
#s(approx (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) #s(hole binary64 (* v (- (+ (* -5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))) (+ (* 5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) (* 1/18 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))))
#s(approx (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) #s(hole binary64 (* v (- (+ (* -5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))) (+ (* -1/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))))))) (* 1/18 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))))
#s(approx (+ (* -5 (* v v)) 1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (+ (* -5 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t)) #s(hole binary64 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t)) #s(hole binary64 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t)) #s(hole binary64 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t)) #s(hole binary64 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))))
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#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))))))
#s(approx (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))))
#s(approx (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v))))
#s(approx (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))))
#s(approx (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (* (sqrt -3) (sqrt 2))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))))
#s(approx (sqrt (* 2 (- 1 (* 3 (* v v))))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))))
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#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* t (* v (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (* t (sqrt 2)) (* (pow v 2) (sqrt -3)))) (* t (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (sqrt 2)) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (sqrt 2)) (* (pow v 2) (sqrt -3)))) (* t (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (sqrt 2)) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (sqrt 2)) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (sqrt 2)) (* (pow v 2) (sqrt -3)))) (* t (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (- 1 (* v v))) #s(hole binary64 (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (+ 1 (* -3 (pow v 2))))))))
#s(approx (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) #s(hole binary64 (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) (sqrt (/ 1 (+ 1 (* -3 (pow v 2))))))))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t)) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx (* (PI) t) #s(hole binary64 (* t (PI))))
#s(approx t #s(hole binary64 t))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))))
#s(approx (* (PI) (* (sqrt 2) t)) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (sqrt 2) t) #s(hole binary64 (* t (sqrt 2))))
#s(approx (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))))
#s(approx (* (* (sqrt 2) (PI)) t) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (+ 1 (* -3 (pow v 2))))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* (* t (sqrt 2)) (sqrt (+ 1 (* -3 (pow v 2)))))))
Calls

6 calls:

TimeVariablePointExpression
14.0ms
t
@inf
((/ (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (- 1 (* v v))) (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (+ (* -5 (* v v)) 1) -5 (* v v) v 1 (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t)) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (+ (* -3 (* v v)) 1) 2) (+ (* (* v v) -6) 2) -6 2 (* (PI) t) (PI) t (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (PI) (* (sqrt 2) t)) (* (sqrt 2) t) (sqrt 2) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (+ (* -6 (* v v)) 2) (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* 5 (* v v)) 5 (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) (sqrt (+ (* (* v v) -3) 1)) (+ (* -3/2 (* v v)) 1) -3/2)
8.0ms
t
@-inf
((/ (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (- 1 (* v v))) (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (+ (* -5 (* v v)) 1) -5 (* v v) v 1 (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t)) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (+ (* -3 (* v v)) 1) 2) (+ (* (* v v) -6) 2) -6 2 (* (PI) t) (PI) t (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (PI) (* (sqrt 2) t)) (* (sqrt 2) t) (sqrt 2) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (+ (* -6 (* v v)) 2) (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* 5 (* v v)) 5 (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) (sqrt (+ (* (* v v) -3) 1)) (+ (* -3/2 (* v v)) 1) -3/2)
7.0ms
v
@inf
((/ (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (- 1 (* v v))) (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (+ (* -5 (* v v)) 1) -5 (* v v) v 1 (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t)) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (+ (* -3 (* v v)) 1) 2) (+ (* (* v v) -6) 2) -6 2 (* (PI) t) (PI) t (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (PI) (* (sqrt 2) t)) (* (sqrt 2) t) (sqrt 2) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (+ (* -6 (* v v)) 2) (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* 5 (* v v)) 5 (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) (sqrt (+ (* (* v v) -3) 1)) (+ (* -3/2 (* v v)) 1) -3/2)
6.0ms
t
@0
((/ (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (- 1 (* v v))) (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (+ (* -5 (* v v)) 1) -5 (* v v) v 1 (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t)) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (+ (* -3 (* v v)) 1) 2) (+ (* (* v v) -6) 2) -6 2 (* (PI) t) (PI) t (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (PI) (* (sqrt 2) t)) (* (sqrt 2) t) (sqrt 2) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (+ (* -6 (* v v)) 2) (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* 5 (* v v)) 5 (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) (sqrt (+ (* (* v v) -3) 1)) (+ (* -3/2 (* v v)) 1) -3/2)
4.0ms
v
@-inf
((/ (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (- 1 (* v v))) (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (+ (* -5 (* v v)) 1) -5 (* v v) v 1 (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t)) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (+ (* -3 (* v v)) 1) 2) (+ (* (* v v) -6) 2) -6 2 (* (PI) t) (PI) t (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (PI) (* (sqrt 2) t)) (* (sqrt 2) t) (sqrt 2) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (sqrt (* 2 (- 1 (* 3 (* v v))))) (* 2 (- 1 (* 3 (* v v)))) (+ (* -6 (* v v)) 2) (- 1 (* v v)) (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* 5 (* v v)) 5 (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) (sqrt (+ (* (* v v) -3) 1)) (+ (* -3/2 (* v v)) 1) -3/2)

rewrite176.0ms (5.4%)

Memory
-1.3MiB live, 229.0MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071412720
077111189
0361910739
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
268 → 387
Calls
Call 1
Inputs
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#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* t (* v (* (sqrt -3) (sqrt 2)))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* 1/2 (/ (* t (sqrt 2)) (* (pow v 2) (sqrt -3)))) (* t (* (sqrt -3) (sqrt 2))))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (sqrt 2)) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (sqrt 2)) (* (pow v 2) (sqrt -3)))) (* t (* (sqrt -3) (sqrt 2)))))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* -1 (* v (+ (* -1/8 (/ (* t (sqrt 2)) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (sqrt 2)) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (sqrt 2)) (* (pow v 2) (sqrt -3)))) (* t (* (sqrt -3) (sqrt 2))))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* -1 (* v (sqrt -3)))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))))
#s(approx (sqrt (+ (* (* v v) -3) 1)) #s(hole binary64 (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))))
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) (- 1 (* v v))) #s(hole binary64 (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (+ 1 (* -3 (pow v 2))))))))
#s(approx (/ (+ (* -5 (* v v)) 1) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t))) #s(hole binary64 (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) (sqrt (/ 1 (+ 1 (* -3 (pow v 2))))))))
#s(approx (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (PI) t)) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx (* (PI) t) #s(hole binary64 (* t (PI))))
#s(approx t #s(hole binary64 t))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))))
#s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) #s(hole binary64 (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2)))))))
#s(approx (* (PI) (* (sqrt 2) t)) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (sqrt 2) t) #s(hole binary64 (* t (sqrt 2))))
#s(approx (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) #s(hole binary64 (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))))
#s(approx (* (* (sqrt 2) (PI)) t) #s(hole binary64 (* t (* (PI) (sqrt 2)))))
#s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v)))) #s(hole binary64 (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (+ 1 (* -3 (pow v 2))))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) #s(hole binary64 (* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) #s(hole binary64 (* (* t (* (PI) (sqrt 2))) (sqrt (+ 1 (* -3 (pow v 2)))))))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) #s(hole binary64 (* (* t (sqrt 2)) (sqrt (+ 1 (* -3 (pow v 2)))))))
Outputs
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (*.f64 (PI.f64) t))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (*.f64 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (*.f64 (PI.f64) t))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))))
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t)))
(+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) (*.f64 (*.f64 #s(literal 5 binary64) v) v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) v) v)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) (*.f64 (*.f64 #s(literal 5 binary64) v) v) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) v) v)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) v) v))
(+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
#s(literal -5 binary64)
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
#s(literal 1 binary64)
(*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(pow.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
#s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (*.f64 (*.f64 v v) #s(literal -6 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
#s(literal -6 binary64)
#s(literal 2 binary64)
(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
(PI.f64)
t
(/.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))
(/.f64 (neg.f64 #s(approx (+ (* (* v v) -5) 1) #s(literal 1 binary64))) (neg.f64 #s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))))
(/.f64 #s(approx (+ (* (* v v) -5) 1) #s(literal 1 binary64)) #s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
#s(approx (+ (* (* v v) -5) 1) #s(literal 1 binary64))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))) (neg.f64 #s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))))
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))))
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#s(approx (* (PI) t) (*.f64 (PI.f64) t))
#s(approx t t)
#s(approx (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
#s(approx (* (* (sqrt 2) (PI)) t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
#s(approx (* (sqrt 2) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
#s(approx (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
#s(approx (* (* (sqrt 2) (PI)) t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (*.f64 (*.f64 t (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (PI.f64)))
#s(approx (/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
#s(approx (* (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (- 1 (* v v))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
#s(approx (* (PI) (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1)))) (*.f64 (*.f64 t (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (PI.f64)))
#s(approx (* (* (sqrt 2) t) (sqrt (+ (* (* v v) -3) 1))) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))

eval40.0ms (1.2%)

Memory
41.3MiB live, 87.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 15 740 to 1 441 computations (90.8% saved)

prune26.0ms (0.8%)

Memory
-44.4MiB live, 54.1MiB allocated; 6ms collecting garbage
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New3571358
Fresh044
Picked055
Done011
Total35711368
Accuracy
99.8%
Counts
368 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓98.9%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
99.0%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓99.0%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
✓99.3%
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
98.9%
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (*.f64 (PI.f64) t)) #s(approx (- 1 (* v v)) #s(literal 1 binary64)))
✓99.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
46.3%
(/.f64 #s(approx (- 1 (* 5 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
✓99.0%
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
98.9%
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
✓98.9%
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
Compiler

Compiled 1 285 to 435 computations (66.1% saved)

regimes35.0ms (1.1%)

Memory
21.9MiB live, 69.1MiB allocated; 2ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (*.f64 (PI.f64) t)) #s(approx (- 1 (* v v)) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 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 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 #s(approx (- 1 (* 5 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 #s(approx (- 1 (* 5 (* v v))) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Calls

5 calls:

7.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
7.0ms
t
7.0ms
(*.f64 (PI.f64) t)
6.0ms
(*.f64 v v)
6.0ms
v
Results
AccuracySegmentsBranch
99.4%1(*.f64 (PI.f64) t)
99.4%1(*.f64 v v)
99.4%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.4%1v
99.4%1t
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes29.0ms (0.9%)

Memory
9.2MiB live, 56.6MiB allocated; 2ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (*.f64 (PI.f64) t)) #s(approx (- 1 (* v v)) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (* v v) -3) 1)) (fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Calls

5 calls:

7.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
6.0ms
t
6.0ms
(*.f64 (PI.f64) t)
5.0ms
v
4.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.4%1(*.f64 (PI.f64) t)
99.4%1(*.f64 v v)
99.4%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.4%1v
99.4%1t
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes25.0ms (0.8%)

Memory
3.9MiB live, 51.5MiB allocated; 1ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (*.f64 (PI.f64) t)) #s(approx (- 1 (* v v)) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Outputs
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Calls

5 calls:

5.0ms
v
5.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
5.0ms
t
5.0ms
(*.f64 (PI.f64) t)
4.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.3%1(*.f64 (PI.f64) t)
99.3%1(*.f64 v v)
99.3%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.3%1v
99.3%1t
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes36.0ms (1.1%)

Memory
-1.7MiB live, 47.7MiB allocated; 30ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(approx (- 1 (* v v)) #s(literal 1 binary64))))
Outputs
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Calls

5 calls:

21.0ms
v
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
4.0ms
t
4.0ms
(*.f64 (PI.f64) t)
3.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.0%1(*.f64 (PI.f64) t)
99.0%1(*.f64 v v)
99.0%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.0%1v
99.0%1t
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes15.0ms (0.5%)

Memory
-11.0MiB live, 31.4MiB allocated; 4ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
Outputs
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
Calls

5 calls:

6.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
2.0ms
(*.f64 (PI.f64) t)
2.0ms
t
2.0ms
v
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.0%1(*.f64 (PI.f64) t)
99.0%1(*.f64 v v)
99.0%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.0%1v
99.0%1t
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes7.0ms (0.2%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.1b remaining (-19.4%)

Threshold costs -0.1b (-19.4%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
Outputs
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
Calls

5 calls:

1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
1.0ms
t
1.0ms
(*.f64 (PI.f64) t)
1.0ms
v
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.9%1(*.f64 (PI.f64) t)
98.9%1(*.f64 v v)
98.9%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
98.9%1v
98.9%1t
Compiler

Compiled 36 to 30 computations (16.7% saved)

simplify60.0ms (1.9%)

Memory
5.3MiB live, 89.0MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060197
1100197
2249197
3773197
43501197
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)))
(/.f64 #s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64)) #s(approx (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))

derivations224.0ms (6.9%)

Memory
74.6MiB live, 175.9MiB allocated; 97ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 197 to 63 computations (68% saved)

preprocess82.0ms (2.5%)

Memory
-14.7MiB live, 82.0MiB allocated; 50ms collecting garbage
Remove

(negabs t)

(abs v)

Compiler

Compiled 562 to 240 computations (57.3% saved)

end0.0ms (0%)

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

Profiling

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