Falkner and Boettcher, Equation (22+)

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze4.0ms (0.2%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 22 to 18 computations (18.2% saved)

sample1.4s (56.9%)

Memory
10.6MiB live, 1 868.4MiB allocated; 442ms collecting garbage
Samples
1.0s8 256×0valid
7.0ms11×0invalid
Precisions
Click to see histograms. Total time spent on operations: 827.0ms
ival-mult: 367.0ms (44.4% of total)
ival-sqrt: 263.0ms (31.8% of total)
ival-sub: 84.0ms (10.2% of total)
ival-div: 53.0ms (6.4% of total)
ival-pi: 34.0ms (4.1% of total)
exact: 21.0ms (2.5% of total)
ival-assert: 3.0ms (0.4% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain155.0ms (6.4%)

Memory
21.6MiB live, 312.5MiB allocated; 14ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 3 binary64)
00-0-(*.f64 v v)
00-0-#s(literal 1 binary64)
00-0-#s(literal 4 binary64)
00-0-(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
00-0-(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
00-0-(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))
00-0-(*.f64 #s(literal 3 binary64) (PI.f64))
00-0-#s(literal 6 binary64)
00-0-v
00-0-#s(literal 2 binary64)
00-0-(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
01(-8.370144511930563e-163)0-(*.f64 #s(literal 6 binary64) (*.f64 v v))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 v v))
00-0-(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
00-0-(PI.f64)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
50.0ms512×0valid
Compiler

Compiled 194 to 52 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 14.0ms (47.4% of total)
ival-sub: 4.0ms (13.5% of total)
ival-div: 3.0ms (10.2% of total)
ival-sqrt: 3.0ms (10.2% of total)
ival-pi: 2.0ms (6.8% of total)
exact: 1.0ms (3.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess184.0ms (7.6%)

Memory
0.5MiB live, 189.9MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02660
17855
221454
367754
4238554
5739354
01620
02620
15118
215218
348818
4167718
5742718
0808017
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Outputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
Symmetry

(abs v)

Compiler

Compiled 20 to 16 computations (20% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Compiler

Compiled 20 to 16 computations (20% saved)

series14.0ms (0.6%)

Memory
-21.6MiB live, 25.4MiB allocated; 2ms collecting garbage
Counts
16 → 51
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
#s(literal 2 binary64)
(*.f64 #s(literal 6 binary64) (*.f64 v v))
#s(literal 6 binary64)
Outputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* 4/3 (/ (sqrt 1/2) (PI)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* 3 (PI))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 2))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* 6 (* v v)) #s(hole binary64 (* 6 (pow v 2))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* -3 (* (pow v 2) (PI)))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
v
@inf
((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* 3 (PI)) (- 1 (* v v))) (* 3 (PI)) 3 (PI) (- 1 (* v v)) 1 (* v v) v (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))) 2 (* 6 (* v v)) 6)
4.0ms
v
@0
((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* 3 (PI)) (- 1 (* v v))) (* 3 (PI)) 3 (PI) (- 1 (* v v)) 1 (* v v) v (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))) 2 (* 6 (* v v)) 6)
2.0ms
v
@-inf
((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* 3 (PI)) (- 1 (* v v))) (* 3 (PI)) 3 (PI) (- 1 (* v v)) 1 (* v v) v (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 6 (* v v))) 2 (* 6 (* v v)) 6)

rewrite100.0ms (4.1%)

Memory
-14.4MiB live, 135.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03142329
03322018
019111924
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
67 → 93
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))
#s(literal 2 binary64)
(*.f64 #s(literal 6 binary64) (*.f64 v v))
#s(literal 6 binary64)
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* 4/3 (/ (sqrt 1/2) (PI)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (PI) (sqrt 2)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* 3 (PI))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 2))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (+ 2 (* -6 (pow v 2)))))
#s(approx (* 6 (* v v)) #s(hole binary64 (* 6 (pow v 2))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* -3 (* (pow v 2) (PI)))))
#s(approx (* (* 3 (PI)) (- 1 (* v v))) #s(hole binary64 (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* -1 (pow v 2))))
#s(approx (- 1 (* v v)) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (sqrt -6))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (- 2 (* 6 (* v v))) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))
Outputs
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))))
(/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))))
#s(literal 4 binary64)
(*.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 #s(literal 1 binary64) (*.f64 v v)))))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) v))
#s(literal 1 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
(pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 6 binary64) v) v) (*.f64 (*.f64 #s(literal 6 binary64) v) v))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 6 binary64) v) v)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 6 binary64) v) v) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 6 binary64) v) v) (*.f64 (*.f64 #s(literal 6 binary64) v) v) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 6 binary64) v) v)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 6 binary64) v) v))
(+.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 6 binary64) v) v)
(*.f64 (*.f64 v v) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) (*.f64 v v))
#s(literal 6 binary64)
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (*.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64)))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (fma.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 v v)) (fma.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64)) #s(literal 3/4 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (fma.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 v v)) (fma.f64 (/.f64 #s(literal 27/8 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (PI.f64))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64)) #s(literal 3/4 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64)) #s(literal 3/4 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (PI.f64))) #s(literal 4/3 binary64))) (*.f64 v v) (*.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))))
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#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) (PI.f64))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 #s(literal -3 binary64) (PI.f64)) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 v v)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) v)) (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (PI.f64)) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 v v))) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))))) (pow.f64 v #s(literal 4 binary64))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) v)) (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (PI.f64)) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 v v))) (fma.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (pow.f64 v #s(literal 6 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))))) (pow.f64 v #s(literal 4 binary64)))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) (*.f64 (*.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) v) #s(literal -1 binary64)))
#s(approx (sqrt (- 2 (* 6 (* v v)))) (*.f64 (*.f64 #s(literal -1 binary64) v) (+.f64 (/.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) (*.f64 (*.f64 #s(literal -1 binary64) v) (-.f64 (+.f64 (/.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
#s(approx (sqrt (- 2 (* 6 (* v v)))) (*.f64 (*.f64 #s(literal -1 binary64) v) (-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))

eval12.0ms (0.5%)

Memory
25.0MiB live, 25.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 845 to 525 computations (86.3% saved)

prune8.0ms (0.3%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1033106
Fresh000
Picked101
Done000
Total1043107
Accuracy
100.0%
Counts
107 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
▶98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))))
▶97.9%
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -9/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64)))))
Compiler

Compiled 164 to 90 computations (45.1% saved)

series40.0ms (1.6%)

Memory
-32.7MiB live, 60.5MiB allocated; 6ms collecting garbage
Counts
62 → 164
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -9/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64)))))
#s(literal 4 binary64)
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -9/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -9/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -9/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -3 binary64))) #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -9/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64)))
(/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)))
(PI.f64)
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 5 binary64)
#s(literal -27/2 binary64)
(*.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
(/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))
#s(literal 9/2 binary64)
(*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -9/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64))
(fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -9/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
#s(literal -9/2 binary64)
(*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -3 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -3 binary64)))
#s(literal -1 binary64)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64))
(*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))))
(*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (PI.f64))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))
(+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64)))
#s(literal 8 binary64)
(pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))
(*.f64 #s(literal -6 binary64) (*.f64 v v))
#s(literal -6 binary64)
(+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))
(-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))
(pow.f64 v #s(literal 4 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
Outputs
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* 4/3 (/ (sqrt 1/2) (PI)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))))
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#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))))
#s(approx (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))))) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))))) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))))) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))
#s(approx (/ (/ 4 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3))) (pow (+ (* -6 (* v v)) 2) 1/2)) #s(hole binary64 (* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))))
#s(approx (/ (/ 4 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3))) (pow (+ (* -6 (* v v)) 2) 1/2)) #s(hole binary64 (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))))
#s(approx (/ (/ 4 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3))) (pow (+ (* -6 (* v v)) 2) 1/2)) #s(hole binary64 (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))))
#s(approx (/ (/ 4 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3))) (pow (+ (* -6 (* v v)) 2) 1/2)) #s(hole binary64 (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))))
#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) #s(hole binary64 (* -1 (* v (sqrt -6)))))
#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) #s(hole binary64 (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))))
#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
v
@inf
((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (+ (* (+ (* (+ (* (* 3 (* v v)) (+ (* (/ (PI) (pow (pow 2 1/2) 5)) -27/2) (* (/ (PI) (pow (pow 2 1/2) 3)) 9/2))) (* (+ (* (/ (PI) (pow (pow 2 1/2) 3)) -9/2) (* (/ (PI) (pow 2 1/2)) 3)) 3)) (* v v)) (* (+ (* -1 (* (pow 2 1/2) (PI))) (* (/ (PI) (pow 2 1/2)) -3)) 3)) (* v v)) (* (* (pow 2 1/2) (PI)) 3)) (+ (* (+ (* (* 3 (* v v)) (+ (* (/ (PI) (pow (pow 2 1/2) 5)) -27/2) (* (/ (PI) (pow (pow 2 1/2) 3)) 9/2))) (* (+ (* (/ (PI) (pow (pow 2 1/2) 3)) -9/2) (* (/ (PI) (pow 2 1/2)) 3)) 3)) (* v v)) (* (+ (* -1 (* (pow 2 1/2) (PI))) (* (/ (PI) (pow 2 1/2)) -3)) 3)) (+ (* (* 3 (* v v)) (+ (* (/ (PI) (pow (pow 2 1/2) 5)) -27/2) (* (/ (PI) (pow (pow 2 1/2) 3)) 9/2))) (* (+ (* (/ (PI) (pow (pow 2 1/2) 3)) -9/2) (* (/ (PI) (pow 2 1/2)) 3)) 3)) (* 3 (* v v)) 3 (* v v) v (+ (* (/ (PI) (pow (pow 2 1/2) 5)) -27/2) (* (/ (PI) (pow (pow 2 1/2) 3)) 9/2)) (/ (PI) (pow (pow 2 1/2) 5)) (PI) (pow (pow 2 1/2) 5) (pow 2 1/2) 2 1/2 5 -27/2 (* (/ (PI) (pow (pow 2 1/2) 3)) 9/2) (/ (PI) (pow (pow 2 1/2) 3)) (pow (pow 2 1/2) 3) 9/2 (* (+ (* (/ (PI) (pow (pow 2 1/2) 3)) -9/2) (* (/ (PI) (pow 2 1/2)) 3)) 3) (+ (* (/ (PI) (pow (pow 2 1/2) 3)) -9/2) (* (/ (PI) (pow 2 1/2)) 3)) -9/2 (* (/ (PI) (pow 2 1/2)) 3) (/ (PI) (pow 2 1/2)) (* (+ (* -1 (* (pow 2 1/2) (PI))) (* (/ (PI) (pow 2 1/2)) -3)) 3) (+ (* -1 (* (pow 2 1/2) (PI))) (* (/ (PI) (pow 2 1/2)) -3)) -1 (* (pow 2 1/2) (PI)) (* (/ (PI) (pow 2 1/2)) -3) -3 (* (* (pow 2 1/2) (PI)) 3) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))))) (* (* 3 (PI)) (- 1 (* v v))) (* 3 (PI)) (- 1 (* v v)) 1 (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))))) (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))) (+ 8 (pow (* -6 (* v v)) 3)) 8 (pow (* -6 (* v v)) 3) (* -6 (* v v)) -6 (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))) (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))) (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))) (/ (/ 4 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3))) (pow (+ (* -6 (* v v)) 2) 1/2)) (/ 4 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3))) (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3)) (/ (- 1 (pow v 4)) (+ 1 (* v v))) (- 1 (pow v 4)) (pow v 4) (+ 1 (* v v)) (* (PI) 3) (pow (+ (* -6 (* v v)) 2) 1/2) (+ (* -6 (* v v)) 2))
10.0ms
v
@0
((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (+ (* (+ (* (+ (* (* 3 (* v v)) (+ (* (/ (PI) (pow (pow 2 1/2) 5)) -27/2) (* (/ (PI) (pow (pow 2 1/2) 3)) 9/2))) (* (+ (* (/ (PI) (pow (pow 2 1/2) 3)) -9/2) (* (/ (PI) (pow 2 1/2)) 3)) 3)) (* v v)) (* (+ (* -1 (* (pow 2 1/2) (PI))) (* (/ (PI) (pow 2 1/2)) -3)) 3)) (* v v)) (* (* (pow 2 1/2) (PI)) 3)) (+ (* (+ (* (* 3 (* v v)) (+ (* (/ (PI) (pow (pow 2 1/2) 5)) -27/2) (* (/ (PI) (pow (pow 2 1/2) 3)) 9/2))) (* (+ (* (/ (PI) (pow (pow 2 1/2) 3)) -9/2) (* (/ (PI) (pow 2 1/2)) 3)) 3)) (* v v)) (* (+ (* -1 (* (pow 2 1/2) (PI))) (* (/ (PI) (pow 2 1/2)) -3)) 3)) (+ (* (* 3 (* v v)) (+ (* (/ (PI) (pow (pow 2 1/2) 5)) -27/2) (* (/ (PI) (pow (pow 2 1/2) 3)) 9/2))) (* (+ (* (/ (PI) (pow (pow 2 1/2) 3)) -9/2) (* (/ (PI) (pow 2 1/2)) 3)) 3)) (* 3 (* v v)) 3 (* v v) v (+ (* (/ (PI) (pow (pow 2 1/2) 5)) -27/2) (* (/ (PI) (pow (pow 2 1/2) 3)) 9/2)) (/ (PI) (pow (pow 2 1/2) 5)) (PI) (pow (pow 2 1/2) 5) (pow 2 1/2) 2 1/2 5 -27/2 (* (/ (PI) (pow (pow 2 1/2) 3)) 9/2) (/ (PI) (pow (pow 2 1/2) 3)) (pow (pow 2 1/2) 3) 9/2 (* (+ (* (/ (PI) (pow (pow 2 1/2) 3)) -9/2) (* (/ (PI) (pow 2 1/2)) 3)) 3) (+ (* (/ (PI) (pow (pow 2 1/2) 3)) -9/2) (* (/ (PI) (pow 2 1/2)) 3)) -9/2 (* (/ (PI) (pow 2 1/2)) 3) (/ (PI) (pow 2 1/2)) (* (+ (* -1 (* (pow 2 1/2) (PI))) (* (/ (PI) (pow 2 1/2)) -3)) 3) (+ (* -1 (* (pow 2 1/2) (PI))) (* (/ (PI) (pow 2 1/2)) -3)) -1 (* (pow 2 1/2) (PI)) (* (/ (PI) (pow 2 1/2)) -3) -3 (* (* (pow 2 1/2) (PI)) 3) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))))) (* (* 3 (PI)) (- 1 (* v v))) (* 3 (PI)) (- 1 (* v v)) 1 (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))))) (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))) (+ 8 (pow (* -6 (* v v)) 3)) 8 (pow (* -6 (* v v)) 3) (* -6 (* v v)) -6 (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))) (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))) (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))) (/ (/ 4 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3))) (pow (+ (* -6 (* v v)) 2) 1/2)) (/ 4 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3))) (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3)) (/ (- 1 (pow v 4)) (+ 1 (* v v))) (- 1 (pow v 4)) (pow v 4) (+ 1 (* v v)) (* (PI) 3) (pow (+ (* -6 (* v v)) 2) 1/2) (+ (* -6 (* v v)) 2))
9.0ms
v
@-inf
((/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (+ (* (+ (* (+ (* (* 3 (* v v)) (+ (* (/ (PI) (pow (pow 2 1/2) 5)) -27/2) (* (/ (PI) (pow (pow 2 1/2) 3)) 9/2))) (* (+ (* (/ (PI) (pow (pow 2 1/2) 3)) -9/2) (* (/ (PI) (pow 2 1/2)) 3)) 3)) (* v v)) (* (+ (* -1 (* (pow 2 1/2) (PI))) (* (/ (PI) (pow 2 1/2)) -3)) 3)) (* v v)) (* (* (pow 2 1/2) (PI)) 3)) (+ (* (+ (* (* 3 (* v v)) (+ (* (/ (PI) (pow (pow 2 1/2) 5)) -27/2) (* (/ (PI) (pow (pow 2 1/2) 3)) 9/2))) (* (+ (* (/ (PI) (pow (pow 2 1/2) 3)) -9/2) (* (/ (PI) (pow 2 1/2)) 3)) 3)) (* v v)) (* (+ (* -1 (* (pow 2 1/2) (PI))) (* (/ (PI) (pow 2 1/2)) -3)) 3)) (+ (* (* 3 (* v v)) (+ (* (/ (PI) (pow (pow 2 1/2) 5)) -27/2) (* (/ (PI) (pow (pow 2 1/2) 3)) 9/2))) (* (+ (* (/ (PI) (pow (pow 2 1/2) 3)) -9/2) (* (/ (PI) (pow 2 1/2)) 3)) 3)) (* 3 (* v v)) 3 (* v v) v (+ (* (/ (PI) (pow (pow 2 1/2) 5)) -27/2) (* (/ (PI) (pow (pow 2 1/2) 3)) 9/2)) (/ (PI) (pow (pow 2 1/2) 5)) (PI) (pow (pow 2 1/2) 5) (pow 2 1/2) 2 1/2 5 -27/2 (* (/ (PI) (pow (pow 2 1/2) 3)) 9/2) (/ (PI) (pow (pow 2 1/2) 3)) (pow (pow 2 1/2) 3) 9/2 (* (+ (* (/ (PI) (pow (pow 2 1/2) 3)) -9/2) (* (/ (PI) (pow 2 1/2)) 3)) 3) (+ (* (/ (PI) (pow (pow 2 1/2) 3)) -9/2) (* (/ (PI) (pow 2 1/2)) 3)) -9/2 (* (/ (PI) (pow 2 1/2)) 3) (/ (PI) (pow 2 1/2)) (* (+ (* -1 (* (pow 2 1/2) (PI))) (* (/ (PI) (pow 2 1/2)) -3)) 3) (+ (* -1 (* (pow 2 1/2) (PI))) (* (/ (PI) (pow 2 1/2)) -3)) -1 (* (pow 2 1/2) (PI)) (* (/ (PI) (pow 2 1/2)) -3) -3 (* (* (pow 2 1/2) (PI)) 3) (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))))))) (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))))) (* (* 3 (PI)) (- 1 (* v v))) (* 3 (PI)) (- 1 (* v v)) 1 (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))))) (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))) (+ 8 (pow (* -6 (* v v)) 3)) 8 (pow (* -6 (* v v)) 3) (* -6 (* v v)) -6 (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))) (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))) (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))) (/ (/ 4 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3))) (pow (+ (* -6 (* v v)) 2) 1/2)) (/ 4 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3))) (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3)) (/ (- 1 (pow v 4)) (+ 1 (* v v))) (- 1 (pow v 4)) (pow v 4) (+ 1 (* v v)) (* (PI) 3) (pow (+ (* -6 (* v v)) 2) 1/2) (+ (* -6 (* v v)) 2))

rewrite159.0ms (6.5%)

Memory
18.8MiB live, 162.4MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059210123
06887407
032207209
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
226 → 458
Calls
Call 1
Inputs
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#s(literal 4 binary64)
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#s(approx (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))) #s(hole binary64 (* -6 (pow v 2))))
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#s(approx (/ (- 1 (pow v 4)) (+ 1 (* v v))) #s(hole binary64 (* -1 (pow v 2))))
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#s(approx (- 1 (pow v 4)) #s(hole binary64 (* -1 (pow v 4))))
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#s(approx (+ 1 (* v v)) #s(hole binary64 (pow v 2)))
#s(approx (+ 1 (* v v)) #s(hole binary64 (* (pow v 2) (+ 1 (/ 1 (pow v 2))))))
#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) #s(hole binary64 (* v (sqrt -6))))
#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) #s(hole binary64 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))))
#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) #s(hole binary64 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))))
#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) #s(hole binary64 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* -6 (pow v 2))))
#s(approx (+ (* -6 (* v v)) 2) #s(hole binary64 (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) #s(hole binary64 (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))))))) #s(hole binary64 (* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))))
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#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))))))) #s(hole binary64 (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))))
#s(approx (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))))))) #s(hole binary64 (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))))) #s(hole binary64 (* 3 (* (pow v 3) (* (PI) (sqrt -6))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))))) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))))
#s(approx (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v))))))) #s(hole binary64 (* -1 (* v (sqrt -6)))))
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#s(approx (/ (/ 4 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3))) (pow (+ (* -6 (* v v)) 2) 1/2)) #s(hole binary64 (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))))
#s(approx (/ (/ 4 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3))) (pow (+ (* -6 (* v v)) 2) 1/2)) #s(hole binary64 (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))))
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#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) #s(hole binary64 (* -1 (* v (sqrt -6)))))
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#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) #s(hole binary64 (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))))
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Outputs
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#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 #s(literal -3 binary64) (PI.f64)) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 v v)))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) v)) (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (PI.f64)) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 v v))) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))))) (pow.f64 v #s(literal 4 binary64))))))
#s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (/ (+ 8 (pow (* -6 (* v v)) 3)) (+ 4 (- (* (* -6 (* v v)) (* -6 (* v v))) (* 2 (* -6 (* v v)))))))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) v)) (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (PI.f64)) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 v v))) (fma.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (pow.f64 v #s(literal 6 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))))) (pow.f64 v #s(literal 4 binary64)))))))
#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) (*.f64 (*.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) v) #s(literal -1 binary64)))
#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) (*.f64 (*.f64 #s(literal -1 binary64) v) (+.f64 (/.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)))))
#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) (*.f64 (*.f64 #s(literal -1 binary64) v) (-.f64 (+.f64 (/.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) (*.f64 (*.f64 #s(literal -1 binary64) v) (-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (pow.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
#s(approx (/ (/ 4 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3))) (pow (+ (* -6 (* v v)) 2) 1/2)) (/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 v v) v) (PI.f64))))
#s(approx (/ (/ 4 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3))) (pow (+ (* -6 (* v v)) 2) 1/2)) (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64)) #s(literal 1/36 binary64) (*.f64 (/.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64))) (*.f64 v v)) #s(literal 4/3 binary64) (*.f64 (/.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -4/3 binary64))) (*.f64 (*.f64 v v) v)) #s(literal -1 binary64)))
#s(approx (/ (/ 4 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3))) (pow (+ (* -6 (* v v)) 2) 1/2)) (*.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64)) #s(literal 1/36 binary64) (*.f64 (/.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64))) (*.f64 v v)) #s(literal 4/3 binary64) (*.f64 (/.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -4/3 binary64))) (/.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 (/.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1/72 binary64) (*.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64))) #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64)) #s(literal 1/36 binary64))))) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (*.f64 v v) v)) #s(literal -1 binary64)))
#s(approx (/ (/ 4 (* (/ (- 1 (pow v 4)) (+ 1 (* v v))) (* (PI) 3))) (pow (+ (* -6 (* v v)) 2) 1/2)) (*.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64)) #s(literal 1/36 binary64) (*.f64 (/.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64))) (*.f64 v v)) #s(literal 4/3 binary64) (*.f64 (/.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -4/3 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64)) #s(literal 1/36 binary64) (fma.f64 (/.f64 #s(literal 5/1296 binary64) (*.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/72 binary64) (*.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64))) #s(literal 1/2 binary64))))) (pow.f64 v #s(literal 6 binary64))) #s(literal 4/3 binary64) (/.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 (/.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1/72 binary64) (*.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64))) #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64)) #s(literal 1/36 binary64))))) (pow.f64 v #s(literal 4 binary64))))) (*.f64 (*.f64 v v) v)) #s(literal -1 binary64)))
#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) (*.f64 (*.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) v) #s(literal -1 binary64)))
#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) (*.f64 (*.f64 #s(literal -1 binary64) v) (+.f64 (/.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)))))
#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) (*.f64 (*.f64 #s(literal -1 binary64) v) (-.f64 (+.f64 (/.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
#s(approx (pow (+ (* -6 (* v v)) 2) 1/2) (*.f64 (*.f64 #s(literal -1 binary64) v) (-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (*.f64 v v) #s(literal -1 binary64)) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (pow.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))

eval139.0ms (5.7%)

Memory
-12.0MiB live, 178.2MiB allocated; 13ms collecting garbage
Compiler

Compiled 40 146 to 2 694 computations (93.3% saved)

prune75.0ms (3.1%)

Memory
21.4MiB live, 119.5MiB allocated; 4ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New5540554
Fresh000
Picked033
Done000
Total5543557
Accuracy
100.0%
Counts
557 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
✓98.5%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))))
✓97.9%
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -9/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64)))))
Compiler

Compiled 348 to 171 computations (50.9% saved)

regimes9.0ms (0.4%)

Memory
-31.5MiB live, 16.1MiB allocated; 1ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -9/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
Outputs
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
Calls

4 calls:

3.0ms
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
2.0ms
v
1.0ms
(*.f64 v v)
1.0ms
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Results
AccuracySegmentsBranch
100.0%1(*.f64 v v)
100.0%1(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
100.0%1(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
100.0%1v
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes6.0ms (0.2%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -9/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))))
Outputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))))
Calls

4 calls:

1.0ms
v
1.0ms
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
1.0ms
(*.f64 v v)
1.0ms
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
Results
AccuracySegmentsBranch
98.5%1(*.f64 v v)
98.5%1(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
98.5%1(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
98.5%1v
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes5.0ms (0.2%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -9/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Outputs
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
Calls

4 calls:

1.0ms
v
1.0ms
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
1.0ms
(*.f64 v v)
1.0ms
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
Results
AccuracySegmentsBranch
98.4%1(*.f64 v v)
98.4%1(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
98.4%1(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
98.4%1v
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes4.0ms (0.2%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -9/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64)))))
Outputs
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -9/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64)))))
Calls

4 calls:

1.0ms
v
1.0ms
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
1.0ms
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
97.9%1(*.f64 v v)
97.9%1(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
97.9%1(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
97.9%1v
Compiler

Compiled 42 to 33 computations (21.4% saved)

simplify57.0ms (2.3%)

Memory
-18.0MiB live, 76.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077184
1116184
2235184
3568184
42054184
56362184
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -9/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64)))))
Outputs
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))))
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 #s(literal 4 binary64) #s(approx (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 9/2 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -9/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) #s(literal -3 binary64))) #s(literal 3 binary64))) (*.f64 v v) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64)))))

derivations26.0ms (1.1%)

Memory
-15.4MiB live, 34.3MiB allocated; 12ms collecting garbage
Stop Event
1×done
Compiler

Compiled 184 to 81 computations (56% saved)

preprocess50.0ms (2.1%)

Memory
33.8MiB live, 175.4MiB allocated; 6ms collecting garbage
Remove

(abs v)

Compiler

Compiled 512 to 270 computations (47.3% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...