Falkner and Boettcher, Appendix B, 1

Time bar (total: 6.3s)

start0.0ms (0%)

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

analyze304.0ms (4.8%)

Memory
1.0MiB live, 534.4MiB allocated; 57ms 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)

sample3.0s (47.2%)

Memory
45.4MiB live, 4 594.5MiB allocated; 542ms collecting garbage
Samples
1.1s3 843×3valid
555.0ms8 153×0invalid
427.0ms2 056×2valid
295.0ms2 206×1valid
9.0ms151×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-acos: 648.0ms (35.9% of total)
adjust: 399.0ms (22.1% of total)
ival-mult!: 314.0ms (17.4% of total)
ival-div!: 224.0ms (12.4% of total)
ival-sub!: 222.0ms (12.3% of total)
Bogosity

explain260.0ms (4.1%)

Memory
46.1MiB live, 464.8MiB allocated; 30ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
13238(5.961986210311518e-65)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))))sensitivity2511
Confusion
Predicted +Predicted -
+131
-2384
Precision
0.05179282868525897
Recall
0.9285714285714286
Confusion?
Predicted +Predicted MaybePredicted -
+1310
-23804
Precision?
0.05555555555555555
Recall?
1.0
Freqs
test
numberfreq
05
1251
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
88.0ms224×3valid
30.0ms134×2valid
19.0ms140×1valid
1.0ms14×0valid
Compiler

Compiled 118 to 31 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-acos: 34.0ms (31.8% of total)
ival-div!: 32.0ms (30% of total)
adjust: 22.0ms (20.6% of total)
ival-mult!: 10.0ms (9.4% of total)
ival-sub!: 8.0ms (7.5% of total)

preprocess54.0ms (0.8%)

Memory
-19.1MiB live, 15.3MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01743
15343
217743
371443
4304343
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Symmetry

(abs v)

Compiler

Compiled 28 to 18 computations (35.7% saved)

series5.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms 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
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))
1.0ms
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))
1.0ms
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))

rewrite726.0ms (11.5%)

Memory
-142.0MiB live, 229.8MiB allocated; 983ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071406
082391
1364388
02896342
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
29 → 145
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))
#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 #s(literal 5 binary64)) v))) (*.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 (*.f64 v v) #s(literal 5 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 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 (*.f64 v v) #s(literal 5 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 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 (*.f64 v v) #s(literal 5 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 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 #s(literal 5 binary64)) v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) v) #s(literal -1 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 (*.f64 v v) #s(literal 5 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 125 binary64)) (+.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) (*.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 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 v) v) #s(literal -5 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v #s(literal 5 binary64)) v))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) (*.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 #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 5 binary64) (neg.f64 v)) (neg.f64 v))
(*.f64 (*.f64 #s(literal 5 binary64) (fabs.f64 v)) (fabs.f64 v))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 5 binary64))) 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 v v) #s(literal 5 binary64))
(*.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) v) #s(literal 1 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 #s(literal 5 binary64)) v))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v #s(literal 5 binary64)) v)) #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 #s(literal 5 binary64)) v))
#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))

eval18.0ms (0.3%)

Memory
33.8MiB live, 33.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 205 to 701 computations (78.1% saved)

prune113.0ms (1.8%)

Memory
-33.8MiB live, 15.5MiB allocated; 81ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1617168
Fresh000
Picked101
Done000
Total1627169
Accuracy
98.9%
Counts
169 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(/.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))))))))
98.9%
(-.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)))))
98.9%
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
98.8%
(acos.f64 #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))))
98.5%
(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))))
98.1%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
97.0%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 382 to 196 computations (48.7% saved)

series7.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB 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
2.0ms
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))))
2.0ms
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))))
2.0ms
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))))

rewrite150.0ms (2.4%)

Memory
3.0MiB live, 196.0MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01421171
01661067
16611058
046831043
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
73 → 376
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))))
#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)))))
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(fma.f64 (*.f64 v v) #s(literal 4 binary64) (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) v) v) #s(literal -1 binary64))
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(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) v) v) #s(literal 1 binary64))
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(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) (*.f64 v v)))
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 v) v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))))
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(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) v) v) #s(literal -1 binary64))
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) v) v))
(*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (fma.f64 v v #s(literal 1 binary64)))
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(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 64 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 v v))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 64 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 16 binary64))))
(/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -16 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 64 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 v v)))))
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(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 v)) (neg.f64 v) #s(literal 4 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal 4 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) v) (*.f64 v #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal 4 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -1 binary64) #s(literal 4 binary64))
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64) #s(literal 4 binary64))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 v (*.f64 #s(literal 4 binary64) v) #s(literal 4 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))
(-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -4 binary64))
(-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) v)) v))
(-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 v) v) #s(literal 4 binary64)))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))
(+.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 v v))))) (/.f64 #s(literal 64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 v v))))))
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(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
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(-.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))))
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#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 -1 binary64))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v 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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) v) v #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))
#s(approx (+ (* (* -5 v) v) 1) #s(literal 1 binary64))
#s(approx (+ (* (* -5 v) v) 1) (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)))
#s(approx (* -5 v) (*.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 (acos (/ (+ (* (* -5 v) v) 1) (+ (* 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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(literal -1 binary64))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v 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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) v) v #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 v v) #s(literal 4 binary64) #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 v v) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v 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 (+ (* 4 (* v v)) 4) #s(literal 4 binary64))
#s(approx (+ (* 4 (* v v)) 4) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* 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 (/ (+ (* (* -5 v) v) 1) (+ (* 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 (/ (+ (* (* -5 v) v) 1) (+ (* 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)))))

eval63.0ms (1%)

Memory
16.7MiB live, 153.4MiB allocated; 13ms collecting garbage
Compiler

Compiled 14 798 to 1 894 computations (87.2% saved)

prune16.0ms (0.3%)

Memory
-15.4MiB live, 37.1MiB allocated; 4ms collecting garbage
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New5427549
Fresh112
Picked145
Done000
Total54412556
Accuracy
98.9%
Counts
556 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 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 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))))
98.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 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)))))))))
98.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) v) v #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
98.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))
97.5%
(-.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)))))
98.9%
(-.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)))))
98.9%
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
98.8%
(acos.f64 #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))))
98.5%
(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))))
98.1%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
97.0%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
98.9%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* 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))))))
Compiler

Compiled 755 to 377 computations (50.1% saved)

series25.0ms (0.4%)

Memory
-0.9MiB live, 45.3MiB allocated; 3ms collecting garbage
Counts
46 → 66
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 v v) #s(literal 4 binary64) #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 v v) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 v v)
#s(literal 4 binary64)
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* 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))))))
(-.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)))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 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 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v 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 (*.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))
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 (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 (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)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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))
(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 (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)))))))
(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 (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)))))
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 (+ (* (* v v) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* v v) 4) -1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (* v v) #s(hole binary64 (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 (- (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 -1))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 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 (- (* (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 (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))) (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))))
#s(approx (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) #s(hole binary64 (+ (* 1/2 (* (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (* 1/2 (* (PI) (acos (/ (+ 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 (+ (* (* v v) 4) -1) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (+ (* (* v v) 4) -1) #s(hole binary64 (* (pow v 2) (- 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)))))
#s(approx (- (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 -5))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* v -5) 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 (+ (* (* 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 (- (* (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 (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))) (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))
#s(approx (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) #s(hole binary64 (+ (* 1/2 (* (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (* 1/2 (* (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
Calls

3 calls:

TimeVariablePointExpression
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)) (+ (* (* v v) 4) -1) (* v v) 4 (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (- (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* 1/2 (PI)) 1/2 (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) (+ (* (* v -5) v) 1) (* v -5) (- (* (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) (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))))) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))))) (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (pow (/ (PI) 2) 3) 3 (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))) (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))
9.0ms
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)) (+ (* (* v v) 4) -1) (* v v) 4 (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (- (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* 1/2 (PI)) 1/2 (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) (+ (* (* v -5) v) 1) (* v -5) (- (* (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) (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))))) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))))) (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (pow (/ (PI) 2) 3) 3 (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))) (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))
4.0ms
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)) (+ (* (* v v) 4) -1) (* v v) 4 (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (- (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* 1/2 (PI)) 1/2 (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) (+ (* (* v -5) v) 1) (* v -5) (- (* (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) (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))))) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))))) (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (pow (/ (PI) 2) 3) 3 (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))) (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))

rewrite291.0ms (4.6%)

Memory
-0.5MiB live, 325.5MiB allocated; 100ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02252869
02922471
110832147
073092109
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
112 → 885
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 v v) #s(literal 4 binary64) #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 v v) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 v v)
#s(literal 4 binary64)
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* 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))))))
(-.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)))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 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 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v 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 (*.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))
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 (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 (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)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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))
(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 (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)))))))
(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 (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)))))
#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 (+ (* (* v v) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* v v) 4) -1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (* v v) #s(hole binary64 (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 (- (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 -1))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 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 (- (* (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 (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))) (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))))
#s(approx (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) #s(hole binary64 (+ (* 1/2 (* (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (* 1/2 (* (PI) (acos (/ (+ 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 (+ (* (* v v) 4) -1) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (+ (* (* v v) 4) -1) #s(hole binary64 (* (pow v 2) (- 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)))))
#s(approx (- (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 -5))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* v -5) 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 (+ (* (* 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 (- (* (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 (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))) (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))
#s(approx (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) #s(hole binary64 (+ (* 1/2 (* (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (* 1/2 (* (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
Outputs
(*.f64 (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 1/2 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 1/2 binary64)))
(pow.f64 (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 -1 binary64)) #s(literal -1 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 1 binary64))
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.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)))) (/.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)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (PI.f64) (*.f64 #s(literal -2 binary64) (-.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))))) #s(literal 2 binary64)) (fma.f64 (-.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)))) (/.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)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
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#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (-.f64 (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 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.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)))) (fma.f64 (PI.f64) #s(literal 1/2 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))))))))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 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))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.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)))) (fma.f64 (PI.f64) #s(literal 1/2 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)))))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 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))))
#s(approx (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) (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)))
#s(approx (acos (/ (+ (* (* -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 (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.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)))) (fma.f64 (PI.f64) #s(literal 1/2 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))))))))
#s(approx (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) (*.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)))) (fma.f64 (PI.f64) #s(literal 1/2 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)))))))
#s(approx (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 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))))))

eval145.0ms (2.3%)

Memory
13.9MiB live, 296.9MiB allocated; 32ms collecting garbage
Compiler

Compiled 57 336 to 4 016 computations (93% saved)

prune44.0ms (0.7%)

Memory
15.8MiB live, 63.1MiB allocated; 2ms collecting garbage
Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New1 008121 020
Fresh123
Picked325
Done044
Total1 012201 032
Accuracy
99.0%
Counts
1 032 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 (-.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))) (PI.f64)) (*.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))) #s(literal 2 binary64)))))))
98.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 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)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))))))))
3.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 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)) (/.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))) (-.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)))) (/.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)))))))
96.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.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 #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)))))))))
98.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) v) v #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
98.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))
98.9%
(-.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) #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)))))
96.6%
(-.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)) (fma.f64 v v #s(literal -1 binary64)))))
97.1%
(-.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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
95.6%
(-.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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
98.9%
(exp.f64 (*.f64 (log.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 1 binary64)))
98.9%
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
98.8%
(acos.f64 #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))))
98.5%
(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))))
98.1%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
97.0%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
97.5%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 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))))))
98.9%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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))))))
98.9%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* 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))))))
Compiler

Compiled 1 407 to 755 computations (46.3% saved)

series36.0ms (0.6%)

Memory
15.5MiB live, 64.3MiB allocated; 6ms collecting garbage
Counts
61 → 120
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 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)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #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)
(/.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)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64)))))))))
(-.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)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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))
(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 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
(*.f64 v #s(literal -5 binary64))
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 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)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))))))
(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)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 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 #s(literal -5 binary64)) v #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #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)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 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 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64)))
(-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 v v #s(literal 1 binary64))
(acos.f64 #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))) (- (* 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)))
(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))
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
(*.f64 v v)
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v 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))
(asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v 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 (/ (+ (* (* -5 v) v) 1) (+ (* v 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(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 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 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 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 (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))
(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)
Outputs
#s(approx (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))))))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (* -5 (pow v 2))) (+ 1 (pow v 2))) (- (pow v 4) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))) (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (* -5 (pow v 2))) (+ 1 (pow v 2))) (- (pow v 4) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (* -5 (pow v 2))) (+ 1 (pow v 2))) (- (pow v 4) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 -1))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 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 #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 (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (* -5 (pow v 2))) (+ 1 (pow v 2))) (- (pow v 4) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))))
#s(approx (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))) #s(hole binary64 (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (* -5 (pow v 2))) (+ 1 (pow v 2))) (- (pow v 4) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))) #s(hole binary64 (* 1/2 (* (PI) (acos (/ (* (+ 1 (* -5 (pow v 2))) (+ 1 (pow v 2))) (- (pow v 4) 1)))))))
#s(approx (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))) #s(hole binary64 (acos (/ (* (+ 1 (* -5 (pow v 2))) (+ 1 (pow v 2))) (- (pow v 4) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) #s(hole binary64 -1))
#s(approx (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (/ (- (pow v 4) 1) (+ (* v v) 1)) #s(hole binary64 -1))
#s(approx (/ (- (pow v 4) 1) (+ (* v v) 1)) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (- (pow v 4) 1) #s(hole binary64 -1))
#s(approx (- (pow v 4) 1) #s(hole binary64 (- (pow v 4) 1)))
#s(approx (pow v 4) #s(hole binary64 (pow v 4)))
#s(approx (+ (* v v) 1) #s(hole binary64 1))
#s(approx (+ (* v v) 1) #s(hole binary64 (+ 1 (pow v 2))))
#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)) 4) (* v v)) 4) (* v v)) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (* v v)) -1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (+ (* (+ (* (+ (* 4 (* v v)) 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) (* v v)) 4) (* v v)) -1) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) #s(hole binary64 4))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) #s(hole binary64 (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))))
#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 (* v v) #s(hole binary64 (pow v 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 (+ (* (+ (* (* 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 (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (- (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#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 (+ (* (* -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 (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))))))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (pow v 2)) (- 1 (* 5 (pow v 2)))) (- (pow v 4) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))) (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (pow v 2)) (- 1 (* 5 (pow v 2)))) (- (pow v 4) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (pow v 2)) (- 1 (* 5 (pow v 2)))) (- (pow v 4) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 -5))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* v -5) 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 (+ (* (* 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 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 (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (pow v 2)) (- 1 (* 5 (pow v 2)))) (- (pow v 4) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))
#s(approx (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))) #s(hole binary64 (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (pow v 2)) (- 1 (* 5 (pow v 2)))) (- (pow v 4) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))) #s(hole binary64 (* 1/2 (* (PI) (acos (/ (* (+ 1 (pow v 2)) (- 1 (* 5 (pow v 2)))) (- (pow v 4) 1)))))))
#s(approx (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))) #s(hole binary64 (acos (/ (* (+ 1 (pow v 2)) (- 1 (* 5 (pow v 2)))) (- (pow v 4) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) #s(hole binary64 -5))
#s(approx (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 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 (/ (- (pow v 4) 1) (+ (* v v) 1)) #s(hole binary64 (pow v 2)))
#s(approx (/ (- (pow v 4) 1) (+ (* v v) 1)) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
#s(approx (- (pow v 4) 1) #s(hole binary64 (pow v 4)))
#s(approx (- (pow v 4) 1) #s(hole binary64 (* (pow v 4) (- 1 (/ 1 (pow v 4))))))
#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)) 4) (* v v)) 4) (* v v)) -1) #s(hole binary64 (* 4 (pow v 6))))
#s(approx (+ (* (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (* v v)) -1) #s(hole binary64 (* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (* v v)) -1) #s(hole binary64 (* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))))
#s(approx (+ (* (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (* v v)) -1) #s(hole binary64 (* (pow v 6) (- (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) (/ 1 (pow v 6))))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) #s(hole binary64 (* (pow v 4) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (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 (- (* (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 (+ (* (+ (* (* 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 (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (- (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#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 (+ (* (* -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))))
Calls

3 calls:

TimeVariablePointExpression
13.0ms
v
@inf
((- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))))))) (/ (PI) 2) (PI) 2 (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))))) (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (pow (/ (PI) 2) 3) 3 (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) (+ (* (* v -5) v) 1) (* v -5) v -5 1 (+ (* v v) -1) -1 (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))))) (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))) (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) (/ (- (pow v 4) 1) (+ (* v v) 1)) (- (pow v 4) 1) (pow v 4) 4 (+ (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (* v v)) -1) (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (+ (* 4 (* v v)) 4) (* v v) (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (sqrt (PI)) (/ (sqrt (PI)) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) (+ (* (* v v) 4) 4) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (- (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (pow (cbrt (PI)) 2) (cbrt (PI)) (* (cbrt (PI)) 1/2) 1/2 (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (- (* (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) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v))
12.0ms
v
@0
((- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))))))) (/ (PI) 2) (PI) 2 (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))))) (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (pow (/ (PI) 2) 3) 3 (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) (+ (* (* v -5) v) 1) (* v -5) v -5 1 (+ (* v v) -1) -1 (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))))) (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))) (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) (/ (- (pow v 4) 1) (+ (* v v) 1)) (- (pow v 4) 1) (pow v 4) 4 (+ (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (* v v)) -1) (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (+ (* 4 (* v v)) 4) (* v v) (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (sqrt (PI)) (/ (sqrt (PI)) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) (+ (* (* v v) 4) 4) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (- (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (pow (cbrt (PI)) 2) (cbrt (PI)) (* (cbrt (PI)) 1/2) 1/2 (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (- (* (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) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v))
6.0ms
v
@-inf
((- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))))))) (/ (PI) 2) (PI) 2 (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))))) (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (pow (/ (PI) 2) 3) 3 (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) (+ (* (* v -5) v) 1) (* v -5) v -5 1 (+ (* v v) -1) -1 (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))))) (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))) (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) (/ (- (pow v 4) 1) (+ (* v v) 1)) (- (pow v 4) 1) (pow v 4) 4 (+ (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (* v v)) -1) (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (+ (* 4 (* v v)) 4) (* v v) (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (sqrt (PI)) (/ (sqrt (PI)) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) (+ (* (* v v) 4) 4) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (- (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (pow (cbrt (PI)) 2) (cbrt (PI)) (* (cbrt (PI)) 1/2) 1/2 (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (- (* (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) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v))

rewrite283.0ms (4.5%)

Memory
-31.2MiB live, 395.9MiB allocated; 138ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03434455
04393822
116313371
085563323
Stop Event
iter-limit
node-limit
iter-limit
Counts
181 → 1 347
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 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)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #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)
(/.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)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64)))))))))
(-.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)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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))
(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 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
(*.f64 v #s(literal -5 binary64))
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 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)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))))))
(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)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 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 #s(literal -5 binary64)) v #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #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)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 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 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64)))
(-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 v v #s(literal 1 binary64))
(acos.f64 #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))) (- (* 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)))
(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))
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
(*.f64 v v)
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v 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))
(asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v 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 (/ (+ (* (* -5 v) v) 1) (+ (* v 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(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 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 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 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 (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))
(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(approx (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))))))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (* -5 (pow v 2))) (+ 1 (pow v 2))) (- (pow v 4) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))) (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (* -5 (pow v 2))) (+ 1 (pow v 2))) (- (pow v 4) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (* -5 (pow v 2))) (+ 1 (pow v 2))) (- (pow v 4) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 -1))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 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 #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 (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (* -5 (pow v 2))) (+ 1 (pow v 2))) (- (pow v 4) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))))
#s(approx (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))) #s(hole binary64 (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (* -5 (pow v 2))) (+ 1 (pow v 2))) (- (pow v 4) 1))))) (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))) #s(hole binary64 (* 1/2 (* (PI) (acos (/ (* (+ 1 (* -5 (pow v 2))) (+ 1 (pow v 2))) (- (pow v 4) 1)))))))
#s(approx (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))) #s(hole binary64 (acos (/ (* (+ 1 (* -5 (pow v 2))) (+ 1 (pow v 2))) (- (pow v 4) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) #s(hole binary64 -1))
#s(approx (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (/ (- (pow v 4) 1) (+ (* v v) 1)) #s(hole binary64 -1))
#s(approx (/ (- (pow v 4) 1) (+ (* v v) 1)) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (- (pow v 4) 1) #s(hole binary64 -1))
#s(approx (- (pow v 4) 1) #s(hole binary64 (- (pow v 4) 1)))
#s(approx (pow v 4) #s(hole binary64 (pow v 4)))
#s(approx (+ (* v v) 1) #s(hole binary64 1))
#s(approx (+ (* v v) 1) #s(hole binary64 (+ 1 (pow v 2))))
#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)) 4) (* v v)) 4) (* v v)) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (* v v)) -1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (+ (* (+ (* (+ (* 4 (* v v)) 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) (* v v)) 4) (* v v)) -1) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) #s(hole binary64 4))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) #s(hole binary64 (+ 4 (* 4 (pow v 2)))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) #s(hole binary64 (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))))
#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 (* v v) #s(hole binary64 (pow v 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 (+ (* (+ (* (* 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 (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (- (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#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 (+ (* (* -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 (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))))))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (pow v 2)) (- 1 (* 5 (pow v 2)))) (- (pow v 4) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))) (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (pow v 2)) (- 1 (* 5 (pow v 2)))) (- (pow v 4) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (pow v 2)) (- 1 (* 5 (pow v 2)))) (- (pow v 4) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 -5))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* v -5) 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 (+ (* (* 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 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 (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (pow v 2)) (- 1 (* 5 (pow v 2)))) (- (pow v 4) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))
#s(approx (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))) #s(hole binary64 (+ (* 1/2 (* (PI) (acos (/ (* (+ 1 (pow v 2)) (- 1 (* 5 (pow v 2)))) (- (pow v 4) 1))))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))) #s(hole binary64 (* 1/2 (* (PI) (acos (/ (* (+ 1 (pow v 2)) (- 1 (* 5 (pow v 2)))) (- (pow v 4) 1)))))))
#s(approx (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))) #s(hole binary64 (acos (/ (* (+ 1 (pow v 2)) (- 1 (* 5 (pow v 2)))) (- (pow v 4) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) #s(hole binary64 -5))
#s(approx (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 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 (/ (- (pow v 4) 1) (+ (* v v) 1)) #s(hole binary64 (pow v 2)))
#s(approx (/ (- (pow v 4) 1) (+ (* v v) 1)) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
#s(approx (- (pow v 4) 1) #s(hole binary64 (pow v 4)))
#s(approx (- (pow v 4) 1) #s(hole binary64 (* (pow v 4) (- 1 (/ 1 (pow v 4))))))
#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)) 4) (* v v)) 4) (* v v)) -1) #s(hole binary64 (* 4 (pow v 6))))
#s(approx (+ (* (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (* v v)) -1) #s(hole binary64 (* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (* v v)) -1) #s(hole binary64 (* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))))
#s(approx (+ (* (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (* v v)) -1) #s(hole binary64 (* (pow v 6) (- (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) (/ 1 (pow v 6))))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) #s(hole binary64 (* 4 (pow v 4))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) #s(hole binary64 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) #s(hole binary64 (* (pow v 4) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (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 (- (* (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 (+ (* (+ (* (* 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 (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (- (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#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 (+ (* (* -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))))
Outputs
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#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (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(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (acos.f64 (/.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (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))))) (PI.f64) (pow.f64 (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(literal 2 binary64))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (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(literal 3 binary64))))
#s(approx (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) (pow.f64 (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(literal 3 binary64)))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* 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 (/ (+ (* (* -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 (fma.f64 #s(literal -4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64)) (*.f64 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 #s(literal -5 binary64) v) v))
#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 (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (acos.f64 (/.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (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))))) (PI.f64) (pow.f64 (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(literal 2 binary64)))))
#s(approx (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (acos.f64 (/.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (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))))) (PI.f64) (pow.f64 (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(literal 2 binary64))))
#s(approx (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (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))))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos.f64 (/.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (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)))))
#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 (fma.f64 #s(literal -4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64)) (*.f64 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 (+ (* 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 (- (pow v 4) 1) (pow.f64 v #s(literal 4 binary64)))
#s(approx (- (pow v 4) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -4 binary64))) (pow.f64 v #s(literal 4 binary64))))
#s(approx (+ (* v v) 1) (*.f64 v v))
#s(approx (+ (* v v) 1) (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 (fma.f64 #s(literal -4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64)) (*.f64 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)) 4) (* v v)) 4) (* v v)) -1) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 4 binary64)))
#s(approx (+ (* (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (* v v)) -1) (*.f64 (pow.f64 v #s(literal 6 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)) 4) (* v v)) -1) (*.f64 (fma.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64)))) (pow.f64 v #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (* v v)) -1) (*.f64 (-.f64 (fma.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64)))) (pow.f64 v #s(literal -6 binary64))) (pow.f64 v #s(literal 6 binary64))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) 4) (*.f64 (fma.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -1 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 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 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))))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))))) (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(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 (fma.f64 #s(literal -4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -4 binary64)) (*.f64 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 (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
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#s(approx (+ (* (+ (* (* v v) 4) 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)))
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#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* 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 (- (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 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))))))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (/ (- (pow v 4) 1) (+ (* v v) 1)))))))) (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(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 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))))))
#s(approx (+ (* (* -5 v) v) 1) (*.f64 (*.f64 #s(literal -5 binary64) v) v))
#s(approx (+ (* (* -5 v) v) 1) (*.f64 (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) v) v))

eval335.0ms (5.3%)

Memory
9.6MiB live, 575.3MiB allocated; 61ms collecting garbage
Compiler

Compiled 113 190 to 8 610 computations (92.4% saved)

prune55.0ms (0.9%)

Memory
-12.7MiB live, 141.0MiB allocated; 12ms collecting garbage
Pruning

25 alts after pruning (16 fresh and 9 done)

PrunedKeptTotal
New1 727101 737
Fresh369
Picked235
Done066
Total1 732251 757
Accuracy
99.0%
Counts
1 757 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 (-.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))) (PI.f64)) (*.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))) #s(literal 2 binary64)))))))
44.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 #s(approx (+ (* (* -5 v) v) 1) (*.f64 (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) v) v)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))))))))
98.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 (-.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 (*.f64 v v) #s(literal 5 binary64)) (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 (*.f64 v v) #s(literal 5 binary64)) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (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 (*.f64 v v) #s(literal 5 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)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))))))))
44.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 #s(approx (+ (* (* -5 v) v) 1) (*.f64 (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) v) v)) (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)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))))))))
3.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 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)) (/.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))) (-.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)))) (/.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)))))))
96.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.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 #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)))))))))
98.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) v) v #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
98.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))
96.6%
(-.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)) (fma.f64 v v #s(literal -1 binary64)))))
47.2%
(-.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) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -2 binary64))) v) v)))))
94.9%
(-.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)))))
98.1%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))
98.9%
(exp.f64 (*.f64 (log.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 1 binary64)))
98.9%
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
98.8%
(acos.f64 #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))))
98.5%
(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))))
98.1%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
97.0%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
98.9%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (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(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (acos.f64 (/.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (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))))) (PI.f64) (pow.f64 (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(literal 2 binary64)))))))
98.9%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 4 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 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))))))
97.5%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 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))))))
96.6%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))
95.6%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(literal -1 binary64)))))
98.9%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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))))))
98.9%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* 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))))))
Compiler

Compiled 2 922 to 881 computations (69.8% saved)

regimes34.0ms (0.5%)

Memory
25.4MiB live, 72.4MiB allocated; 3ms collecting garbage
Counts
37 → 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))))
(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 v v) #s(literal 4 binary64) #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))))
(acos.f64 #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 (acos (/ (+ (* (* -5 v) v) 1) (+ (* 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))))))
(-.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 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) v) v #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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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))))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v 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)))))
(exp.f64 (*.f64 (log.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 1 binary64)))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(literal -1 binary64))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 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 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v 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 (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 4 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 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 (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 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) #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 (*.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) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -2 binary64))) v) v)))))
(/.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 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 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (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(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (acos.f64 (/.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (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))))) (PI.f64) (pow.f64 (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(literal 2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.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 #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 (PI.f64) #s(literal 2 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)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 #s(approx (+ (* (* -5 v) v) 1) (*.f64 (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) v) v)) (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)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 #s(approx (+ (* (* -5 v) v) 1) (*.f64 (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 5 binary64)) v) v)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 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)) (/.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))) (-.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)))) (/.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 (PI.f64) #s(literal 2 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 (-.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))) (PI.f64)) (*.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))) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 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 (-.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 (*.f64 v v) #s(literal 5 binary64)) (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 (*.f64 v v) #s(literal 5 binary64)) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (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 (*.f64 v v) #s(literal 5 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)) (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))))))))
Outputs
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (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(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (acos.f64 (/.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (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))))) (PI.f64) (pow.f64 (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(literal 2 binary64)))))))
Calls

4 calls:

9.0ms
v
8.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
7.0ms
(*.f64 v v)
7.0ms
(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
98.9%1(*.f64 v v)
98.9%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.9%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))))
98.9%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes25.0ms (0.4%)

Memory
-0.8MiB live, 46.6MiB allocated; 2ms collecting garbage
Counts
28 → 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))))
(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 v v) #s(literal 4 binary64) #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))))
(acos.f64 #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 (acos (/ (+ (* (* -5 v) v) 1) (+ (* 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))))))
(-.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 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) v) v #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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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))))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v 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)))))
(exp.f64 (*.f64 (log.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 1 binary64)))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(literal -1 binary64))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 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 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v 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 (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 4 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 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 (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 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) #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 (*.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) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -2 binary64))) v) v)))))
(/.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 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 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))))
Outputs
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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))))))
Calls

4 calls:

8.0ms
v
6.0ms
(*.f64 v v)
5.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
5.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.9%1(*.f64 v v)
98.9%1v
98.9%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.9%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)

regimes13.0ms (0.2%)

Memory
-17.9MiB live, 29.0MiB allocated; 2ms collecting garbage
Counts
11 → 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))))
(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 v v) #s(literal 4 binary64) #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))))
(acos.f64 #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 (acos (/ (+ (* (* -5 v) v) 1) (+ (* 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))))))
(-.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 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) v) v #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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(approx (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))
Outputs
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* 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))))))
Calls

4 calls:

4.0ms
(/.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
3.0ms
(*.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
98.9%1(*.f64 v v)
98.9%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.9%1v
98.9%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)

regimes8.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB 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))))
(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 v v) #s(literal 4 binary64) #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))))
(acos.f64 #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))))
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:

2.0ms
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))))
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.9%1(*.f64 v v)
98.9%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.9%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))))
98.9%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes6.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Counts
4 → 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))))
(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 v v) #s(literal 4 binary64) #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:

2.0ms
v
1.0ms
(*.f64 v 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)))
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)

regimes6.0ms (0.1%)

Memory
-37.9MiB live, 12.1MiB allocated; 4ms 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:

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))))
1.0ms
v
1.0ms
(*.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
98.1%1(*.f64 v v)
98.1%1v
98.1%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.1%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))))
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes4.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB 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:

1.0ms
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 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
97.0%1(*.f64 v v)
97.0%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
97.0%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))))
97.0%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

derivations231.0ms (3.7%)

Memory
2.4MiB live, 239.9MiB allocated; 13ms collecting garbage
Stop Event
fuel
Compiler

Compiled 221 to 71 computations (67.9% saved)

preprocess80.0ms (1.3%)

Memory
-2.0MiB live, 91.4MiB allocated; 7ms collecting garbage
Remove

(abs v)

Compiler

Compiled 677 to 366 computations (45.9% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...