Falkner and Boettcher, Appendix B, 1

Time bar (total: 14.6s)

start0.0ms (0%)

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

analyze671.0ms (4.6%)

Memory
15.9MiB live, 614.8MiB allocated; 250ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
0%0%100%0%0%0%0%4
0%0%100%0%0%0%0%5
0%0%100%0%0%0%0%6
0%0%100%0%0%0%0%7
0%0%100%0%0%0%0%8
0%0%100%0%0%0%0%9
0%0%100%0%0%0%0%10
0%0%100%0%0%0%0%11
0%0%100%0%0%0%0%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample8.3s (56.6%)

Memory
154.5MiB live, 7 095.8MiB allocated; 3.0s collecting garbage
Samples
2.8s3 754×3valid
1.9s8 294×0invalid
1.1s2 097×2valid
793.0ms2 249×1valid
18.0ms156×0valid
Precisions
Click to see histograms. Total time spent on operations: 5.0s
adjust: 1.2s (24.9% of total)
ival-acos: 1.2s (23.2% of total)
ival-mult: 1.1s (22.5% of total)
ival-sub: 864.0ms (17.3% of total)
ival-div: 569.0ms (11.4% of total)
exact: 34.0ms (0.7% of total)
ival-assert: 9.0ms (0.2% of total)
Bogosity

explain609.0ms (4.2%)

Memory
-6.1MiB live, 514.4MiB allocated; 118ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10244(1.3324704192184272e-185)0-(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
00-0-(*.f64 #s(literal 5 binary64) (*.f64 v v))
00-0-#s(literal 1 binary64)
00-0-(*.f64 v v)
00-0-#s(literal 5 binary64)
00-0-(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
00-0-v
00-0-(-.f64 (*.f64 v v) #s(literal 1 binary64))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
acos.f64(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))sensitivity2540
Confusion
Predicted +Predicted -
+100
-2442
Precision
0.03937007874015748
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1000
-24402
Precision?
0.03937007874015748
Recall?
1.0
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
168.0ms212×3valid
112.0ms134×1valid
65.0ms156×2valid
1.0ms10×0valid
Compiler

Compiled 118 to 31 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-acos: 63.0ms (32.9% of total)
adjust: 51.0ms (26.6% of total)
ival-mult: 29.0ms (15.1% of total)
ival-sub: 27.0ms (14.1% of total)
ival-div: 20.0ms (10.4% of total)
ival-true: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)

preprocess365.0ms (2.5%)

Memory
14.8MiB live, 158.4MiB allocated; 69ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01743
15343
217743
371443
4304343
0914
01514
13414
211114
359414
4261414
0839712
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Outputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Symmetry

(abs v)

Compiler

Compiled 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

series37.0ms (0.3%)

Memory
-39.8MiB live, 4.9MiB allocated; 16ms collecting garbage
Counts
9 → 20
Calls
Call 1
Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(-.f64 (*.f64 v v) #s(literal 1 binary64))
Outputs
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* 5 (* v v)) #s(hole binary64 (* 5 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- (* v v) 1) #s(hole binary64 -1))
#s(approx (- (* v v) 1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -5))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (- (* v v) 1) #s(hole binary64 (pow v 2)))
#s(approx (- (* v v) 1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
Calls

3 calls:

TimeVariablePointExpression
31.0ms
v
@0
((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (- (* v v) 1))
3.0ms
v
@inf
((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (- (* v v) 1))
2.0ms
v
@-inf
((acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- 1 (* 5 (* v v))) 1 (* 5 (* v v)) 5 (* v v) v (- (* v v) 1))

rewrite284.0ms (1.9%)

Memory
15.1MiB live, 118.1MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065391
1345388
02878342
Stop Event
iter limit
iter limit
node limit
Counts
29 → 145
Calls
Call 1
Inputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(- (* v v) 1)
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 1))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* 5 (* v v)) #s(hole binary64 (* 5 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- (* v v) 1) #s(hole binary64 -1))
#s(approx (- (* v v) 1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -5))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (- 1 (* 5 (* v v))) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (- (* v v) 1) #s(hole binary64 (pow v 2)))
#s(approx (- (* v v) 1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 v #s(literal 4 binary64))))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))))) (+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 5 binary64))) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (neg.f64 (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (neg.f64 (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 v #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (fma.f64 v v #s(literal -1 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 5 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 5 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -5 binary64) (neg.f64 v)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -5 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1 binary64)) #s(literal 5 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 5 binary64) (*.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 5 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 125 binary64)) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 5 binary64))) #s(literal 1 binary64))))
(-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 v) v) #s(literal -5 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 5 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 5 binary64))) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 v #s(literal 5 binary64))) v))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 v) v) #s(literal 5 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 5 binary64))) v)
(*.f64 (*.f64 #s(literal 5 binary64) (neg.f64 v)) (neg.f64 v))
(*.f64 (*.f64 #s(literal 5 binary64) (fabs.f64 v)) (fabs.f64 v))
(*.f64 (*.f64 v #s(literal 5 binary64)) v)
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 5 binary64)))
(*.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(*.f64 v (*.f64 v #s(literal 5 binary64)))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)))
#s(literal 5 binary64)
(*.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 v) #s(literal 1 binary64)) (*.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (*.f64 v #s(literal 1 binary64)) (*.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)))
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)))
(*.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (*.f64 v v) #s(literal 1 binary64))
(*.f64 v (*.f64 v #s(literal 1 binary64)))
(*.f64 v v)
(*.f64 #s(literal 1 binary64) (*.f64 v v))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 v v) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (fma.f64 (log.f64 v) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))))
v
(*.f64 (+.f64 (neg.f64 v) #s(literal 1 binary64)) (-.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (+.f64 (fabs.f64 v) #s(literal 1 binary64)) (-.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64)))
(*.f64 (-.f64 v #s(literal -1 binary64)) (-.f64 v #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 v #s(literal 4 binary64))))
(fma.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 v) #s(literal 1 binary64)) (*.f64 (fabs.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 v #s(literal 1 binary64)) (*.f64 v #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)) #s(literal -1 binary64))
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 v) (neg.f64 v) #s(literal -1 binary64))
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 v) (fabs.f64 v) #s(literal -1 binary64))
(fma.f64 (*.f64 v v) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 v (*.f64 v #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 v v #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 v v) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log.f64 v) #s(literal 2 binary64) #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 v v #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 v #s(literal 4 binary64)))))
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(+.f64 (*.f64 v v) #s(literal -1 binary64))
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))
#s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64))
#s(approx (- 1 (* 5 (* v v))) (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)))
#s(approx (* 5 (* v v)) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
#s(approx (* v v) (*.f64 v v))
#s(approx v v)
#s(approx (- (* v v) 1) #s(literal -1 binary64))
#s(approx (- (* v v) 1) (fma.f64 v v #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal -4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64)) v) v) #s(literal 5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 5 binary64))))
#s(approx (- 1 (* 5 (* v v))) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
#s(approx (- 1 (* 5 (* v v))) (*.f64 (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) v) v))
#s(approx (- (* v v) 1) (*.f64 v v))
#s(approx (- (* v v) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -2 binary64))) v) v))

eval82.0ms (0.6%)

Memory
-9.5MiB live, 34.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 3 359 to 703 computations (79.1% saved)

prune12.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1727179
Fresh000
Picked101
Done000
Total1737180
Accuracy
99.1%
Counts
180 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
99.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
99.1%
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
98.7%
(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64))))
98.7%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
98.5%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
97.8%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 312 to 180 computations (42.3% saved)

series12.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Counts
25 → 48
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(*.f64 #s(literal -5 binary64) v)
#s(literal -5 binary64)
v
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 v v)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Outputs
#s(approx (- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 -1))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 1))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* -5 v) #s(hole binary64 (* -5 v)))
#s(approx v #s(hole binary64 v))
#s(approx (+ (* v v) -1) #s(hole binary64 -1))
#s(approx (+ (* v v) -1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 -1))
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (+ (* 4 (* v v)) 4) #s(hole binary64 4))
#s(approx (+ (* 4 (* v v)) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 -5))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (+ (* v v) -1) #s(hole binary64 (pow v 2)))
#s(approx (+ (* v v) -1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -5))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (* (pow v 2) (- 4 (/ 1 (pow v 2))))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))))
#s(approx (+ (* 4 (* v v)) 4) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (+ (* 4 (* v v)) 4) #s(hole binary64 (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
v
@inf
((- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (/ (PI) 2) (PI) 2 (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) -5 v 1 (+ (* v v) -1) -1 (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) 4 (* v v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) (+ (* 4 (* v v)) 4) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))
3.0ms
v
@-inf
((- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (/ (PI) 2) (PI) 2 (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) -5 v 1 (+ (* v v) -1) -1 (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) 4 (* v v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) (+ (* 4 (* v v)) 4) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))
3.0ms
v
@0
((- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (/ (PI) 2) (PI) 2 (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) -5 v 1 (+ (* v v) -1) -1 (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) 4 (* v v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) (+ (* 4 (* v v)) 4) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))

rewrite353.0ms (2.4%)

Memory
-1.3MiB live, 193.5MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01291199
16201193
046431043
Stop Event
iter limit
iter limit
node limit
Counts
73 → 376
Calls
Call 1
Inputs
(- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))
(/ (PI) 2)
(PI)
2
(asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))
(/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))
(+ (* (* -5 v) v) 1)
(* -5 v)
-5
v
1
(+ (* v v) -1)
-1
(acos #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1))
(acos #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (+ (* 4 (* v v)) -1))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (+ (* 4 (* v v)) -1)))
(+ (* 4 (* v v)) -1)
4
(* v v)
(acos #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1)))
(+ (* (+ (* 4 (* v v)) 4) (* v v)) -1)
(+ (* 4 (* v v)) 4)
(acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))
#s(approx (- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 -1))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 1))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* -5 v) #s(hole binary64 (* -5 v)))
#s(approx v #s(hole binary64 v))
#s(approx (+ (* v v) -1) #s(hole binary64 -1))
#s(approx (+ (* v v) -1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -1))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 -1))
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (+ (* 4 (* v v)) 4) #s(hole binary64 4))
#s(approx (+ (* 4 (* v v)) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 -5))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (+ (* v v) -1) #s(hole binary64 (pow v 2)))
#s(approx (+ (* v v) -1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 -5))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (+ (* 4 (* v v)) -1) #s(hole binary64 (* (pow v 2) (- 4 (/ 1 (pow v 2))))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(hole binary64 (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))))
#s(approx (+ (* 4 (* v v)) 4) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (+ (* 4 (* v v)) 4) #s(hole binary64 (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (PI.f64) #s(literal -2 binary64)))
(PI.f64)
#s(literal 2 binary64)
(asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (PI.f64)) (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
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#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) v) v (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 4 binary64))) (*.f64 v v) #s(literal -1 binary64)))
#s(approx (+ (* 4 (* v v)) -1) #s(literal -1 binary64))
#s(approx (+ (* 4 (* v v)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
#s(approx (* v v) (*.f64 v v))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) #s(literal -1 binary64))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) v) v (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64))
#s(approx (+ (* 4 (* v v)) 4) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(literal -5 binary64))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -5 binary64)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64)) v) v) #s(literal 5 binary64)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 5 binary64))))
#s(approx (+ (* (* -5 v) v) 1) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
#s(approx (+ (* (* -5 v) v) 1) (*.f64 (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) v) v))
#s(approx (+ (* v v) -1) (*.f64 v v))
#s(approx (+ (* v v) -1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -2 binary64))) v) v))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(literal -5 binary64))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -5 binary64)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64)) v) v) #s(literal 5 binary64)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 5 binary64))))
#s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
#s(approx (+ (* 4 (* v v)) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 v #s(literal -2 binary64))) v) v))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) (*.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) (*.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 v #s(literal -4 binary64)))) (pow.f64 v #s(literal 4 binary64))))
#s(approx (+ (* 4 (* v v)) 4) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
#s(approx (+ (* 4 (* v v)) 4) (*.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64)) v) v))
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))

eval263.0ms (1.8%)

Memory
-1.8MiB live, 143.9MiB allocated; 47ms collecting garbage
Compiler

Compiled 15 500 to 1 905 computations (87.7% saved)

prune47.0ms (0.3%)

Memory
-1.9MiB live, 43.8MiB allocated; 9ms collecting garbage
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New5825587
Fresh112
Picked145
Done000
Total58410594
Accuracy
99.1%
Counts
594 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
2.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
98.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))
97.6%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
99.1%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
99.1%
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
98.7%
(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64))))
98.7%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
98.5%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
97.8%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 467 to 251 computations (46.3% saved)

series99.0ms (0.7%)

Memory
-9.9MiB live, 34.8MiB allocated; 9ms collecting garbage
Counts
39 → 75
Calls
Call 1
Inputs
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(*.f64 #s(literal -5 binary64) v)
#s(literal -5 binary64)
v
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) v)
#s(literal 4 binary64)
(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
(*.f64 v #s(literal -5 binary64))
(-.f64 v #s(literal -1 binary64))
(-.f64 v #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
Outputs
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 -1))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 1))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* -5 v) #s(hole binary64 (* -5 v)))
#s(approx v #s(hole binary64 v))
#s(approx (+ (* v v) -1) #s(hole binary64 -1))
#s(approx (+ (* v v) -1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (+ (* (* 4 v) v) -1) #s(hole binary64 -1))
#s(approx (+ (* (* 4 v) v) -1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (* 4 v) #s(hole binary64 (* 4 v)))
#s(approx (acos (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 -1))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 1))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (+ 1 (* -1 v))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (+ 1 (* v (- (* -4 v) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (+ 1 (* v (- (* v (- (* 4 v) 4)) 1)))))
#s(approx (+ (* (* v -5) v) 1) #s(hole binary64 1))
#s(approx (+ (* (* v -5) v) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* v -5) #s(hole binary64 (* -5 v)))
#s(approx (- v -1) #s(hole binary64 1))
#s(approx (- v -1) #s(hole binary64 (+ 1 v)))
#s(approx (- v 1) #s(hole binary64 -1))
#s(approx (- v 1) #s(hole binary64 (- v 1)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
#s(approx (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 -5))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (+ (* v v) -1) #s(hole binary64 (pow v 2)))
#s(approx (+ (* v v) -1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
#s(approx (- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (+ (* (* 4 v) v) -1) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (+ (* (* 4 v) v) -1) #s(hole binary64 (* (pow v 2) (- 4 (/ 1 (pow v 2))))))
#s(approx (acos (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 -5))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (* -5 v)))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (* v (- (* 5 (/ 1 v)) 5))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (* v (- (* 5 (/ 1 v)) (+ 5 (/ 4 (pow v 2)))))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (* v (- (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3)))) (+ 5 (/ 4 (pow v 2)))))))
#s(approx (+ (* (* v -5) v) 1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (+ (* (* v -5) v) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (- v -1) #s(hole binary64 v))
#s(approx (- v -1) #s(hole binary64 (* v (+ 1 (/ 1 v)))))
#s(approx (- v 1) #s(hole binary64 v))
#s(approx (- v 1) #s(hole binary64 (* v (- 1 (/ 1 v)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
#s(approx (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (acos (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) #s(hole binary64 (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (* -1 (* v (- 5 (* 5 (/ 1 v)))))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (* -1 (* v (+ 5 (* -1 (/ (- 5 (* 4 (/ 1 v))) v)))))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (* -1 (* v (+ 5 (* -1 (/ (+ 5 (* -1 (/ (- 4 (* 4 (/ 1 v))) v))) v)))))))
#s(approx (- v 1) #s(hole binary64 (* -1 (* v (- (/ 1 v) 1)))))
Calls

3 calls:

TimeVariablePointExpression
81.0ms
v
@0
((- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (sqrt (PI)) (PI) (/ (sqrt (PI)) 2) 2 (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) -5 v 1 (+ (* v v) -1) -1 (- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* 4 v) v) -1) (* 4 v) 4 (acos (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (/ (+ (* (* v -5) v) 1) (- v -1)) (+ (* (* v -5) v) 1) (* v -5) (- v -1) (- v 1) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (cbrt (PI)) 2))
9.0ms
v
@inf
((- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (sqrt (PI)) (PI) (/ (sqrt (PI)) 2) 2 (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) -5 v 1 (+ (* v v) -1) -1 (- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* 4 v) v) -1) (* 4 v) 4 (acos (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (/ (+ (* (* v -5) v) 1) (- v -1)) (+ (* (* v -5) v) 1) (* v -5) (- v -1) (- v 1) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (cbrt (PI)) 2))
6.0ms
v
@-inf
((- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (sqrt (PI)) (PI) (/ (sqrt (PI)) 2) 2 (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) -5 v 1 (+ (* v v) -1) -1 (- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* 4 v) v) -1) (* 4 v) 4 (acos (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (/ (+ (* (* v -5) v) 1) (- v -1)) (+ (* (* v -5) v) 1) (* v -5) (- v -1) (- v 1) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (cbrt (PI)) 2))

rewrite522.0ms (3.6%)

Memory
8.3MiB live, 300.5MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02351873
112011857
086901653
Stop Event
iter limit
node limit
Counts
114 → 757
Calls
Call 1
Inputs
(- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))
(* (sqrt (PI)) (/ (sqrt (PI)) 2))
(sqrt (PI))
(PI)
(/ (sqrt (PI)) 2)
2
(asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))
(/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))
(+ (* (* -5 v) v) 1)
(* -5 v)
-5
v
1
(+ (* v v) -1)
-1
(- (/ (PI) 2) (asin #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (+ (* (* 4 v) v) -1)))))
(/ (PI) 2)
(asin #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (+ (* (* 4 v) v) -1))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (+ (* (* 4 v) v) -1)))
(+ (* (* 4 v) v) -1)
(* 4 v)
4
(acos (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)))
(/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))
(/ (+ (* (* v -5) v) 1) (- v -1))
(+ (* (* v -5) v) 1)
(* v -5)
(- v -1)
(- v 1)
(/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))
(- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))
(* (/ (PI) 2) (/ (PI) 2))
(* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))
(+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))
(- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))
(* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2))
(pow (cbrt (PI)) 2)
(cbrt (PI))
(/ (cbrt (PI)) 2)
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 -1))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 1))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* -5 v) #s(hole binary64 (* -5 v)))
#s(approx v #s(hole binary64 v))
#s(approx (+ (* v v) -1) #s(hole binary64 -1))
#s(approx (+ (* v v) -1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (+ (* (* 4 v) v) -1) #s(hole binary64 -1))
#s(approx (+ (* (* 4 v) v) -1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (* 4 v) #s(hole binary64 (* 4 v)))
#s(approx (acos (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 -1))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 1))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (+ 1 (* -1 v))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (+ 1 (* v (- (* -4 v) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (+ 1 (* v (- (* v (- (* 4 v) 4)) 1)))))
#s(approx (+ (* (* v -5) v) 1) #s(hole binary64 1))
#s(approx (+ (* (* v -5) v) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* v -5) #s(hole binary64 (* -5 v)))
#s(approx (- v -1) #s(hole binary64 1))
#s(approx (- v -1) #s(hole binary64 (+ 1 v)))
#s(approx (- v 1) #s(hole binary64 -1))
#s(approx (- v 1) #s(hole binary64 (- v 1)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
#s(approx (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 -5))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (+ (* v v) -1) #s(hole binary64 (pow v 2)))
#s(approx (+ (* v v) -1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
#s(approx (- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (+ (* (* 4 v) v) -1) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (+ (* (* 4 v) v) -1) #s(hole binary64 (* (pow v 2) (- 4 (/ 1 (pow v 2))))))
#s(approx (acos (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 -5))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (* -5 v)))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (* v (- (* 5 (/ 1 v)) 5))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (* v (- (* 5 (/ 1 v)) (+ 5 (/ 4 (pow v 2)))))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (* v (- (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3)))) (+ 5 (/ 4 (pow v 2)))))))
#s(approx (+ (* (* v -5) v) 1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (+ (* (* v -5) v) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (- v -1) #s(hole binary64 v))
#s(approx (- v -1) #s(hole binary64 (* v (+ 1 (/ 1 v)))))
#s(approx (- v 1) #s(hole binary64 v))
#s(approx (- v 1) #s(hole binary64 (* v (- 1 (/ 1 v)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
#s(approx (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (acos (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) #s(hole binary64 (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (* -1 (* v (- 5 (* 5 (/ 1 v)))))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (* -1 (* v (+ 5 (* -1 (/ (- 5 (* 4 (/ 1 v))) v)))))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(hole binary64 (* -1 (* v (+ 5 (* -1 (/ (+ 5 (* -1 (/ (- 4 (* 4 (/ 1 v))) v))) v)))))))
#s(approx (- v 1) #s(hole binary64 (* -1 (* v (- (/ 1 v) 1)))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))))) (*.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (*.f64 (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (neg.f64 (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(neg.f64 (/.f64 (PI.f64) #s(literal -2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(PI.f64)
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(neg.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal -2 binary64)))
#s(literal 2 binary64)
(*.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1 binary64))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
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(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (PI.f64) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64)))
(cbrt.f64 (PI.f64))
(exp.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (neg.f64 (cbrt.f64 (PI.f64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal 2 binary64)))
(neg.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(literal -1 binary64))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))
#s(approx (+ (* (* v -5) v) 1) #s(literal 1 binary64))
#s(approx (+ (* (* v -5) v) 1) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)))
#s(approx (* v -5) (*.f64 v #s(literal -5 binary64)))
#s(approx v v)
#s(approx (+ (* v v) -1) #s(literal -1 binary64))
#s(approx (+ (* v v) -1) (fma.f64 v v #s(literal -1 binary64)))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (+ (* (* 4 v) v) -1) #s(literal -1 binary64))
#s(approx (+ (* (* 4 v) v) -1) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
#s(approx (* 4 v) (*.f64 #s(literal 4 binary64) v))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(literal -1 binary64))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) #s(literal 1 binary64))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) (-.f64 #s(literal 1 binary64) v))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) (fma.f64 (fma.f64 #s(literal -4 binary64) v #s(literal -1 binary64)) v #s(literal 1 binary64)))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) v #s(literal -4 binary64)) v #s(literal -1 binary64)) v #s(literal 1 binary64)))
#s(approx (+ (* (* v -5) v) 1) #s(literal 1 binary64))
#s(approx (+ (* (* v -5) v) 1) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)))
#s(approx (* v -5) (*.f64 v #s(literal -5 binary64)))
#s(approx (- v -1) #s(literal 1 binary64))
#s(approx (- v -1) (-.f64 v #s(literal -1 binary64)))
#s(approx (- v 1) #s(literal -1 binary64))
#s(approx (- v 1) (-.f64 v #s(literal 1 binary64)))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
#s(approx (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(literal -5 binary64))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -5 binary64)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (-.f64 (/.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 v v)) #s(literal 5 binary64)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (-.f64 (/.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 5 binary64))))
#s(approx (+ (* (* v -5) v) 1) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
#s(approx (+ (* (* v -5) v) 1) (*.f64 (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) v) v))
#s(approx (+ (* v v) -1) (*.f64 v v))
#s(approx (+ (* v v) -1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -2 binary64))) v) v))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (+ (* (* 4 v) v) -1) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
#s(approx (+ (* (* 4 v) v) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 v #s(literal -2 binary64))) v) v))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(literal -5 binary64))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -5 binary64)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (-.f64 (/.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 v v)) #s(literal 5 binary64)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (-.f64 (/.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 5 binary64))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) (*.f64 v #s(literal -5 binary64)))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) (*.f64 (-.f64 (/.f64 #s(literal 5 binary64) v) #s(literal 5 binary64)) v))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) (*.f64 (-.f64 (/.f64 #s(literal 5 binary64) v) (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 5 binary64))) v))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) (*.f64 (fma.f64 (pow.f64 v #s(literal -3 binary64)) #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 5 binary64) v) (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 5 binary64)))) v))
#s(approx (+ (* (* v -5) v) 1) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
#s(approx (+ (* (* v -5) v) 1) (*.f64 (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) v) v))
#s(approx (- v -1) v)
#s(approx (- v -1) (-.f64 v #s(literal -1 binary64)))
#s(approx (- v 1) v)
#s(approx (- v 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -1 binary64))) v))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
#s(approx (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) (*.f64 (neg.f64 v) (-.f64 #s(literal 5 binary64) (/.f64 #s(literal 5 binary64) v))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) (*.f64 (neg.f64 v) (-.f64 #s(literal 5 binary64) (/.f64 (-.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) v)) v))))
#s(approx (/ (+ (* (* v -5) v) 1) (- v -1)) (*.f64 (neg.f64 v) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) v)) v) #s(literal -5 binary64)) v) #s(literal -5 binary64))))
#s(approx (- v 1) (*.f64 (neg.f64 v) (-.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal 1 binary64))))

eval453.0ms (3.1%)

Memory
6.4MiB live, 334.9MiB allocated; 136ms collecting garbage
Compiler

Compiled 65 325 to 4 014 computations (93.9% saved)

prune250.0ms (1.7%)

Memory
-5.5MiB live, 120.9MiB allocated; 45ms collecting garbage
Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New1 393101 403
Fresh101
Picked325
Done044
Total1 397161 413
Accuracy
99.2%
Counts
1 413 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.4%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal 1 binary64)) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
2.8%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
2.8%
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
2.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
2.8%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
98.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))
96.7%
(-.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
2.8%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (PI.f64) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))))))
96.3%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(literal -1 binary64))))
98.7%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
99.1%
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
99.1%
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
98.7%
(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64))))
98.7%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
98.5%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
97.8%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 1 289 to 600 computations (53.5% saved)

series87.0ms (0.6%)

Memory
-14.7MiB live, 84.4MiB allocated; 62ms collecting garbage
Counts
56 → 105
Calls
Call 1
Inputs
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(asin.f64 #s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal 1 binary64)) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal 1 binary64)) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 (PI.f64) #s(literal 1 binary64))
(neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v v #s(literal -1 binary64))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(*.f64 #s(literal -5 binary64) v)
(-.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
Outputs
#s(approx (- (PI) (acos (/ (+ (* (* v v) -5) 1) (- 1 (* v v))))) #s(hole binary64 (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))))
#s(approx (acos (/ (+ (* (* v v) -5) 1) (- 1 (* v v)))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 1))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 (+ 1 (* -4 (pow v 2)))))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))))
#s(approx (+ (* (* v v) -5) 1) #s(hole binary64 1))
#s(approx (+ (* (* v v) -5) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1)))))))
#s(approx (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 -1))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (+ (* (* v v) 4) 4) #s(hole binary64 4))
#s(approx (+ (* (* v v) 4) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (/ (+ (* (/ (PI) 4) (/ (PI) 1)) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (+ (* (/ (PI) 4) (/ (PI) 1)) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)) #s(hole binary64 (* -1 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
#s(approx (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) #s(hole binary64 -1))
#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* v v) -1) #s(hole binary64 -1))
#s(approx (+ (* v v) -1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 -1))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 1))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* -5 v) #s(hole binary64 (* -5 v)))
#s(approx (- (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))))) #s(hole binary64 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
#s(approx (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))))) #s(hole binary64 (/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))))
#s(approx (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
#s(approx (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))) #s(hole binary64 (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)) #s(hole binary64 (- (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (- (PI) (acos (/ (+ (* (* v v) -5) 1) (- 1 (* v v))))) #s(hole binary64 (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))))
#s(approx (acos (/ (+ (* (* v v) -5) 1) (- 1 (* v v)))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 5))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 (+ 5 (* 4 (/ 1 (pow v 2))))))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))))
#s(approx (+ (* (* v v) -5) 1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (+ (* (* v v) -5) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#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 (PI)) (/ (sqrt (PI)) 2)) (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1)))))))
#s(approx (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 -5))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) #s(hole binary64 (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))))
#s(approx (+ (* (* v v) 4) 4) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (+ (* (* v v) 4) 4) #s(hole binary64 (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (/ (PI) 4) (/ (PI) 1)) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (+ (* (/ (PI) 4) (/ (PI) 1)) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)) #s(hole binary64 (* -1 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
#s(approx (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) #s(hole binary64 -5))
#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* v v) -1) #s(hole binary64 (pow v 2)))
#s(approx (+ (* v v) -1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
#s(approx (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 -5))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (- (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))))) #s(hole binary64 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
#s(approx (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))))) #s(hole binary64 (/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))))
#s(approx (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
#s(approx (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))) #s(hole binary64 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)) #s(hole binary64 (- (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))))))
#s(approx (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) #s(hole binary64 (asin (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))))
Calls

3 calls:

TimeVariablePointExpression
14.0ms
v
@inf
((- (PI) (acos (/ (+ (* (* v v) -5) 1) (- 1 (* v v))))) (PI) (acos (/ (+ (* (* v v) -5) 1) (- 1 (* v v)))) (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) (+ (* (* v v) -5) 1) (* v v) v -5 1 (- 1 (* v v)) (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)))) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (sqrt (PI)) (/ (sqrt (PI)) 2) 2 (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) (+ (* (* v v) 4) 4) 4 -1 (/ (+ (* (/ (PI) 4) (/ (PI) 1)) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (* (/ (PI) 4) (/ (PI) 1)) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))) (/ (PI) 4) (/ (PI) 1) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (+ (* v v) -1) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) (- (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) (cbrt (sqrt (PI))) (/ (cbrt (PI)) 2) (cbrt (PI)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))))) (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (pow (/ (PI) 2) 3) 3 (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))) (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))
12.0ms
v
@0
((- (PI) (acos (/ (+ (* (* v v) -5) 1) (- 1 (* v v))))) (PI) (acos (/ (+ (* (* v v) -5) 1) (- 1 (* v v)))) (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) (+ (* (* v v) -5) 1) (* v v) v -5 1 (- 1 (* v v)) (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)))) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (sqrt (PI)) (/ (sqrt (PI)) 2) 2 (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) (+ (* (* v v) 4) 4) 4 -1 (/ (+ (* (/ (PI) 4) (/ (PI) 1)) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (* (/ (PI) 4) (/ (PI) 1)) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))) (/ (PI) 4) (/ (PI) 1) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (+ (* v v) -1) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) (- (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) (cbrt (sqrt (PI))) (/ (cbrt (PI)) 2) (cbrt (PI)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))))) (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (pow (/ (PI) 2) 3) 3 (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))) (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))
10.0ms
v
@-inf
((- (PI) (acos (/ (+ (* (* v v) -5) 1) (- 1 (* v v))))) (PI) (acos (/ (+ (* (* v v) -5) 1) (- 1 (* v v)))) (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) (+ (* (* v v) -5) 1) (* v v) v -5 1 (- 1 (* v v)) (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)))) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (sqrt (PI)) (/ (sqrt (PI)) 2) 2 (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) (+ (* (* v v) 4) 4) 4 -1 (/ (+ (* (/ (PI) 4) (/ (PI) 1)) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (* (/ (PI) 4) (/ (PI) 1)) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))) (/ (PI) 4) (/ (PI) 1) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (+ (* v v) -1) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) (- (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) (cbrt (sqrt (PI))) (/ (cbrt (PI)) 2) (cbrt (PI)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))))) (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (pow (/ (PI) 2) 3) 3 (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))) (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))

rewrite473.0ms (3.2%)

Memory
12.6MiB live, 390.2MiB allocated; 135ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02984182
115824005
085603552
Stop Event
iter limit
node limit
Counts
161 → 1 117
Calls
Call 1
Inputs
(- (PI) (acos (/ (+ (* (* v v) -5) 1) (- 1 (* v v)))))
(PI)
(acos (/ (+ (* (* v v) -5) 1) (- 1 (* v v))))
(/ (+ (* (* v v) -5) 1) (- 1 (* v v)))
(+ (* (* v v) -5) 1)
(* v v)
v
-5
1
(- 1 (* v v))
(- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin #s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (+ (* (+ (* (* v v) 4) 4) (* v v)) -1)))))
(* (sqrt (PI)) (/ (sqrt (PI)) 2))
(sqrt (PI))
(/ (sqrt (PI)) 2)
2
(asin #s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (+ (* (+ (* (* v v) 4) 4) (* v v)) -1))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (+ (* (+ (* (* v v) 4) 4) (* v v)) -1)))
(+ (* (+ (* (* v v) 4) 4) (* v v)) -1)
(+ (* (* v v) 4) 4)
4
-1
(/ (+ (* (/ (PI) 4) (/ (PI) 1)) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))
(+ (* (/ (PI) 4) (/ (PI) 1)) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)))
(/ (PI) 4)
(/ (PI) 1)
(neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))
(pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)
(asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))
(/ (+ (* (* v v) -5) 1) (+ (* v v) -1))
(+ (* v v) -1)
(+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))
(/ (PI) 2)
(asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))
(/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))
(+ (* (* -5 v) v) 1)
(* -5 v)
(- (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))
(* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2))
(pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2)
(* (cbrt (sqrt (PI))) (cbrt (sqrt (PI))))
(cbrt (sqrt (PI)))
(/ (cbrt (PI)) 2)
(cbrt (PI))
(/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))))))
(- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))
(* (/ (PI) 2) (/ (PI) 2))
(* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))
(/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))))
(+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3))
(pow (/ (PI) 2) 3)
3
(pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)
(+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))))
(pow (/ (PI) 2) 2)
(* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))
(- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))
#s(approx (- (PI) (acos (/ (+ (* (* v v) -5) 1) (- 1 (* v v))))) #s(hole binary64 (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))))
#s(approx (acos (/ (+ (* (* v v) -5) 1) (- 1 (* v v)))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 1))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 (+ 1 (* -4 (pow v 2)))))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))))
#s(approx (+ (* (* v v) -5) 1) #s(hole binary64 1))
#s(approx (+ (* (* v v) -5) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (- 1 (* v v)) #s(hole binary64 1))
#s(approx (- 1 (* v v)) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1)))))))
#s(approx (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 -1))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (+ (* (* v v) 4) 4) #s(hole binary64 4))
#s(approx (+ (* (* v v) 4) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (/ (+ (* (/ (PI) 4) (/ (PI) 1)) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (+ (* (/ (PI) 4) (/ (PI) 1)) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)) #s(hole binary64 (* -1 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
#s(approx (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) #s(hole binary64 -1))
#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* v v) -1) #s(hole binary64 -1))
#s(approx (+ (* v v) -1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 -1))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 1))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* -5 v) #s(hole binary64 (* -5 v)))
#s(approx (- (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))))) #s(hole binary64 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
#s(approx (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))))) #s(hole binary64 (/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))))
#s(approx (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
#s(approx (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))) #s(hole binary64 (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)) #s(hole binary64 (- (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (- (PI) (acos (/ (+ (* (* v v) -5) 1) (- 1 (* v v))))) #s(hole binary64 (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))))
#s(approx (acos (/ (+ (* (* v v) -5) 1) (- 1 (* v v)))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 5))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 (+ 5 (* 4 (/ 1 (pow v 2))))))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))))
#s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) #s(hole binary64 (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))))
#s(approx (+ (* (* v v) -5) 1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (+ (* (* v v) -5) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#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 (PI)) (/ (sqrt (PI)) 2)) (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1)))))))
#s(approx (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 -5))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) #s(hole binary64 (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))))
#s(approx (+ (* (* v v) 4) 4) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (+ (* (* v v) 4) 4) #s(hole binary64 (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (/ (PI) 4) (/ (PI) 1)) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (+ (* (/ (PI) 4) (/ (PI) 1)) (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (neg (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)) #s(hole binary64 (* -1 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
#s(approx (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) #s(hole binary64 -5))
#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* v v) -1) #s(hole binary64 (pow v 2)))
#s(approx (+ (* v v) -1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
#s(approx (+ (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 -5))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (- (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))))) #s(hole binary64 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
#s(approx (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))))) #s(hole binary64 (/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))))
#s(approx (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
#s(approx (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))) #s(hole binary64 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)) #s(hole binary64 (- (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))))))
#s(approx (asin (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1))) #s(hole binary64 (asin (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))))
Outputs
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (PI.f64) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))
(PI.f64)
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))))) (-.f64 (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (-.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) v #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 v))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (*.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 v)))
(/.f64 (neg.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -5 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 v))) (/.f64 (*.f64 v v) (fma.f64 #s(literal -1 binary64) v #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -5 binary64) (fma.f64 #s(literal -1 binary64) v #s(literal 1 binary64))) (/.f64 (*.f64 v v) (-.f64 #s(literal 1 binary64) (neg.f64 v))) (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -5 binary64) v) (fma.f64 #s(literal -1 binary64) v #s(literal 1 binary64))) (/.f64 v (-.f64 #s(literal 1 binary64) (neg.f64 v))) (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (neg.f64 v))) (/.f64 (*.f64 #s(literal -5 binary64) v) (fma.f64 #s(literal -1 binary64) v #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -5 binary64) v) (-.f64 #s(literal 1 binary64) (neg.f64 v))) (/.f64 v (fma.f64 #s(literal -1 binary64) v #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)))
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#s(approx (+ (* (* -5 v) v) 1) #s(literal 1 binary64))
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#s(approx v v)
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#s(approx (+ (* (* -5 v) v) 1) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) (*.f64 v v)))
#s(approx (- (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))))) (/.f64 (*.f64 (fma.f64 (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
#s(approx (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
#s(approx (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
#s(approx (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
#s(approx (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))) (fma.f64 (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2))) (*.f64 (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (* (pow (* (cbrt (sqrt (PI))) (cbrt (sqrt (PI)))) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64)))))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 (neg.f64 v) v #s(literal 1 binary64))))))

eval776.0ms (5.3%)

Memory
8.1MiB live, 403.8MiB allocated; 231ms collecting garbage
Compiler

Compiled 126 819 to 7 331 computations (94.2% saved)

prune265.0ms (1.8%)

Memory
-4.5MiB live, 139.9MiB allocated; 29ms collecting garbage
Pruning

20 alts after pruning (11 fresh and 9 done)

PrunedKeptTotal
New1 81981 827
Fresh235
Picked235
Done066
Total1 823201 843
Accuracy
99.2%
Counts
1 843 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.5%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal 1 binary64)) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
3.4%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
5.9%
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
2.8%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
2.8%
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
2.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))))
98.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))
96.7%
(-.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
95.6%
(-.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #s(approx (+ (* v v) -1) #s(literal -1 binary64)))))
96.3%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(literal -1 binary64))))
98.7%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
98.5%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (fma.f64 #s(approx (+ (* (* v v) 4) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
99.1%
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
98.5%
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
99.1%
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
98.7%
(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64))))
98.7%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
98.5%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
97.8%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
2.8%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))))) (/.f64 (*.f64 (fma.f64 (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
Compiler

Compiled 2 279 to 673 computations (70.5% saved)

regimes86.0ms (0.6%)

Memory
3.4MiB live, 49.8MiB allocated; 6ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64))))
(acos.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (fma.f64 #s(approx (+ (* (* v v) 4) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal 1 binary64)) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (/ (+ (* (* v -5) v) 1) (- v -1)) (- v 1)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #s(approx (+ (* v v) -1) #s(literal -1 binary64)))))
(-.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal 1 binary64)) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (/ (+ (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (* (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (- (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (PI) 2)))))) (/.f64 (*.f64 (fma.f64 (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (PI.f64) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
Outputs
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
Calls

4 calls:

52.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
11.0ms
v
9.0ms
(*.f64 v v)
9.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.1%1(*.f64 v v)
99.1%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.1%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.1%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes13.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Outputs
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Calls

4 calls:

3.0ms
v
3.0ms
(*.f64 v v)
3.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.1%1(*.f64 v v)
99.1%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.1%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.1%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes16.0ms (0.1%)

Memory
-34.3MiB live, 11.8MiB allocated; 3ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64)))))
Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
Calls

4 calls:

8.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
3.0ms
v
2.0ms
(*.f64 v v)
2.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.7%1(*.f64 v v)
98.7%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.7%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.7%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes8.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
Outputs
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
Calls

4 calls:

2.0ms
v
2.0ms
(*.f64 v v)
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
2.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.5%1(*.f64 v v)
98.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.5%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.5%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes7.0ms (0%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
Calls

4 calls:

2.0ms
v
2.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms
(*.f64 v v)
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.5%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.5%1(*.f64 v v)
98.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.5%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes6.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Calls

4 calls:

2.0ms
v
1.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
97.8%1(*.f64 v v)
97.8%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
97.8%1v
97.8%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify94.0ms (0.6%)

Memory
-7.4MiB live, 37.4MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041113
177113
2202113
3787113
43141113
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Outputs
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) -5) 1) (- 1 (* v v))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

derivations363.0ms (2.5%)

Memory
33.2MiB live, 217.6MiB allocated; 57ms collecting garbage
Stop Event
fuel
Compiler

Compiled 113 to 43 computations (61.9% saved)

preprocess92.0ms (0.6%)

Memory
-31.3MiB live, 70.5MiB allocated; 64ms collecting garbage
Remove

(abs v)

Compiler

Compiled 284 to 124 computations (56.3% saved)

end0.0ms (0%)

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

Profiling

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