Falkner and Boettcher, Appendix B, 1

Time bar (total: 6.4s)

start0.0ms (0%)

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

analyze405.0ms (6.3%)

Memory
2.0MiB live, 420.1MiB allocated; 57ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%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)

sample4.3s (67%)

Memory
48.6MiB live, 4 451.2MiB allocated; 1.6s collecting garbage
Samples
1.9s3 768×3valid
670.0ms8 190×0invalid
633.0ms2 074×2valid
377.0ms2 243×1valid
12.0ms171×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.0s
ival-acos: 1.1s (37.3% of total)
adjust: 625.0ms (20.8% of total)
ival-sub: 504.0ms (16.7% of total)
ival-mult: 429.0ms (14.3% of total)
ival-div: 300.0ms (10% of total)
exact: 21.0ms (0.7% of total)
ival-assert: 6.0ms (0.2% of total)
Bogosity

explain325.0ms (5.1%)

Memory
-35.5MiB live, 379.1MiB allocated; 150ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
8247(-5.885027602971489e-72)1(-0.0025220603608975796)(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))))sensitivity2541
Confusion
Predicted +Predicted -
+71
-2471
Precision
0.027559055118110236
Recall
0.875
Confusion?
Predicted +Predicted MaybePredicted -
+710
-24701
Precision?
0.03137254901960784
Recall?
1.0
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
164.0ms234×3valid
34.0ms120×2valid
25.0ms148×1valid
1.0ms10×0valid
Compiler

Compiled 118 to 31 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-div: 86.0ms (44.9% of total)
ival-sub: 32.0ms (16.7% of total)
adjust: 31.0ms (16.2% of total)
ival-acos: 27.0ms (14.1% of total)
ival-mult: 14.0ms (7.3% of total)
ival-true: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)

preprocess126.0ms (2%)

Memory
19.0MiB live, 109.9MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

(abs v)

Compiler

Compiled 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

series4.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB 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
@-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))

rewrite125.0ms (2%)

Memory
-7.0MiB live, 128.0MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071406
082391
1364388
02896342
Stop Event
1×iter limit
1×iter limit
1×node limit
1×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))

eval22.0ms (0.3%)

Memory
-3.2MiB live, 42.3MiB allocated; 5ms collecting garbage
Compiler

Compiled 3 359 to 703 computations (79.1% saved)

prune7.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1745179
Fresh000
Picked101
Done000
Total1755180
Accuracy
99.5%
Counts
180 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶99.5%
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
▶99.2%
(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))))
▶99.1%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
▶98.5%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 182 to 124 computations (31.9% saved)

series13.0ms (0.2%)

Memory
-38.7MiB live, 15.1MiB allocated; 8ms 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
9.0ms
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))))

rewrite141.0ms (2.2%)

Memory
36.5MiB live, 174.8MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01421171
01661067
16611058
046831043
Stop Event
1×iter limit
1×iter limit
1×node limit
1×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)))))

eval78.0ms (1.2%)

Memory
-14.8MiB live, 126.0MiB allocated; 16ms collecting garbage
Compiler

Compiled 15 500 to 1 904 computations (87.7% saved)

prune13.0ms (0.2%)

Memory
-16.8MiB live, 29.6MiB allocated; 2ms collecting garbage
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New5843587
Fresh000
Picked145
Done000
Total5857592
Accuracy
99.5%
Counts
592 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(-.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)))))
▶98.0%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶99.5%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓99.5%
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓99.2%
(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))))
✓99.1%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓98.5%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 142 to 100 computations (29.6% saved)

series5.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
27 → 31
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 (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)) (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)
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 (- (* (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) (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 (- (* (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 (- (* (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) (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))))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
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 (- (* (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) (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)
1.0ms
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 (- (* (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) (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)
1.0ms
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 (- (* (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) (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)

rewrite164.0ms (2.5%)

Memory
24.7MiB live, 120.0MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120824
0148721
1574708
04246698
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
58 → 353
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 (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)) (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 (- (* (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 (- (* (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) (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 (- (* (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 (- (* (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) (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))))))
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 (*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #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)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(PI.f64)
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(neg.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal -2 binary64)))
#s(literal 2 binary64)
(asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (PI.f64)) (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.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 (fma.f64 (*.f64 v #s(literal -5 binary64)) 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 v #s(literal -5 binary64)) 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 v #s(literal -5 binary64)) 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 v) (/.f64 #s(literal 5 binary64) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 v v) (/.f64 #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 v v) (/.f64 #s(literal 5 binary64) (fma.f64 v 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 v) (/.f64 #s(literal -5 binary64) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 v v) (/.f64 #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 v v) (/.f64 #s(literal -5 binary64) (fma.f64 v v #s(literal -1 binary64))))))
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(/.f64 (-.f64 (*.f64 (neg.f64 (PI.f64)) (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)))) (+.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)))) (/.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 #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 #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)))) (+.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)))) (/.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 #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)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.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)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (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)))) (+.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)))) (/.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 #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 #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)))) (+.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)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 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)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 v v)))))
(/.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 v)) (neg.f64 v) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) v) v #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 v) (*.f64 (neg.f64 v) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 v) (*.f64 (fabs.f64 v) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 v (*.f64 #s(literal 4 binary64) v) #s(literal -1 binary64))
(-.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)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 v) v) #s(literal 4 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 v) (*.f64 #s(literal 4 binary64) v)))
(-.f64 #s(literal -1 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)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
(*.f64 (*.f64 (neg.f64 v) #s(literal -1 binary64)) (*.f64 (neg.f64 v) #s(literal -1 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 (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 (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 (*.f64 (neg.f64 v) v) #s(literal -1 binary64))
(*.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 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v (*.f64 v #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))))
#s(literal 4 binary64)
#s(approx (- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #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 -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 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))
#s(approx (+ (* (* -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 (- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) 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)))) (-.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 (+ (* (* v v) 4) -1) #s(literal -1 binary64))
#s(approx (+ (* (* v v) 4) -1) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (* v v) (*.f64 v v))
#s(approx (- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #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 (- (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) 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)))) (-.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 (+ (* (* v v) 4) -1) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
#s(approx (+ (* (* v v) 4) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 v #s(literal -2 binary64))) v) v))

eval69.0ms (1.1%)

Memory
-26.6MiB live, 113.6MiB allocated; 23ms collecting garbage
Compiler

Compiled 15 930 to 1 637 computations (89.7% saved)

prune11.0ms (0.2%)

Memory
34.2MiB live, 34.2MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New5124516
Fresh000
Picked033
Done044
Total51211523
Accuracy
99.5%
Counts
523 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(-.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 #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 (acos.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 #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)) (acos.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))))))
✓99.1%
(-.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)))))
▶97.1%
(-.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)))))
✓98.0%
(-.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)))))
▶97.0%
(-.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))))
✓99.5%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶99.2%
(-.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)))))
✓99.5%
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓99.2%
(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))))
✓99.1%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓98.5%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 337 to 191 computations (43.3% saved)

series26.0ms (0.4%)

Memory
-3.0MiB live, 43.3MiB allocated; 3ms collecting garbage
Counts
47 → 57
Calls
Call 1
Inputs
(-.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))
(PI.f64)
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
#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))
(*.f64 v v)
v
#s(literal 4 binary64)
#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))))
(*.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))
(asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(literal -1 binary64)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* 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 (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)))
(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)
#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 #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 (acos.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 #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)) (acos.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))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.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 (acos.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 #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)) (acos.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.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)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (acos.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))
(acos.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (acos.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 #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)) (acos.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (acos.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 #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)) (acos.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)) (acos.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 (- (* (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 (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 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 (- (* (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 (+ (* v v) -1) #s(hole binary64 -1))
#s(approx (+ (* v v) -1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
#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 (+ (* (* v v) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* v v) 4) -1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) 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 (+ (* (+ (* (* 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 (- (* (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 (- (* (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))))
#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) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
#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 (+ (* (* 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 (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) 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
10.0ms
v
@0
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8.0ms
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)) (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) (+ (* (* v v) 4) 4) (* v v) v 4 -1 (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (cbrt (PI)) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) 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))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) -5 1 (+ (* v v) -1) (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))))) (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (pow (/ (PI) 2) 3) 3 (pow (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* v v) 4) -1) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))
5.0ms
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)) (+ (* (+ (* (* v v) 4) 4) (* v v)) -1) (+ (* (* v v) 4) 4) (* v v) v 4 -1 (- (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (pow (cbrt (PI)) 2) (/ (cbrt (PI)) 2)) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (cbrt (PI)) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) 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))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) -5 1 (+ (* v v) -1) (- (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))))) (/ (PI) 2) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (pow (/ (PI) 2) 3) 3 (pow (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* v v) 4) -1) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))

rewrite204.0ms (3.2%)

Memory
-7.8MiB live, 266.1MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02232824
02772388
112321999
086161969
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
104 → 878
Calls
Call 1
Inputs
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(*.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 #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))
(*.f64 v v)
v
#s(literal 4 binary64)
#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))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
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#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(literal -1 binary64))
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(*.f64 #s(literal -5 binary64) v)
#s(literal -5 binary64)
#s(literal 1 binary64)
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#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
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#s(approx (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
#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 (+ (* (* v v) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* v v) 4) -1) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) 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 (+ (* (+ (* (* 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 (- (* (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 (- (* (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))))
#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) (/ (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
#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 (+ (* (* 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 (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) 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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (* 1/2 (* (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
Outputs
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(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (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(literal 2 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 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))
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(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (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(literal 2 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 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 #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 (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 (PI.f64) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (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(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (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 (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 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.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 #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)))))
(acos.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 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(neg.f64 (/.f64 (PI.f64) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(PI.f64)
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(neg.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal -2 binary64)))
#s(literal 2 binary64)
(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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.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)))) (acos.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 (PI.f64) #s(literal 2 binary64)) (acos.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.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(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (acos.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)))) (acos.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 (PI.f64) #s(literal 2 binary64)) (acos.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 (PI.f64) #s(literal 2 binary64)) (acos.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)))
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#s(literal 3 binary64)
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#s(approx (+ (* v v) -1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -2 binary64))) v) v))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (-.f64 (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 (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 #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.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(approx (asin (/ (+ (* (* -5 v) 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 #s(literal -5 binary64)) 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) (*.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)))) (fma.f64 #s(literal 1/2 binary64) (PI.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(approx (- (pow (/ (PI) 2) 3) (pow (acos (/ (+ (* (* -5 v) 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 #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
#s(approx (pow (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) (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)))
#s(approx (- (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ (+ (* (* -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 (+ (* (* v v) 4) -1) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
#s(approx (+ (* (* v v) 4) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 v #s(literal -2 binary64))) v) v))
#s(approx (+ (pow (/ (PI) 2) 2) (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) 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 #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.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(approx (+ (* (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (*.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)))) (fma.f64 #s(literal 1/2 binary64) (PI.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(approx (* (/ (PI) 2) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (*.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)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))

eval187.0ms (2.9%)

Memory
-8.3MiB live, 278.5MiB allocated; 56ms collecting garbage
Compiler

Compiled 89 406 to 4 809 computations (94.6% saved)

prune26.0ms (0.4%)

Memory
21.0MiB live, 68.5MiB allocated; 1ms collecting garbage
Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New1 13551 140
Fresh000
Picked224
Done077
Total1 137141 151
Accuracy
99.5%
Counts
1 151 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(-.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 #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 (acos.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 #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)) (acos.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (/.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))))))))
99.1%
(-.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 #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 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (acos.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 #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)) (acos.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))))))
✓99.1%
(-.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)))))
96.5%
(-.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))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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)))) (+.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)))) (*.f64 (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)))) (+.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))) (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 (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)))) (+.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)))) (+.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))))))
✓97.1%
(-.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
95.4%
(-.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 #s(approx (+ (* (* -5 v) v) 1) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓98.0%
(-.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)))))
✓97.0%
(-.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))))
✓99.5%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
99.1%
(-.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 #s(approx (+ (* (* v v) 4) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
✓99.5%
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓99.2%
(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))))
✓99.1%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓98.5%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 1 504 to 419 computations (72.1% saved)

regimes18.0ms (0.3%)

Memory
-18.6MiB live, 28.1MiB allocated; 2ms collecting garbage
Counts
18 → 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))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 #s(approx (+ (* (* v v) 4) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (+ (* (* -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)))))
(-.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))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 #s(approx (+ (* (* -5 v) v) 1) #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 (/.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 #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 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (acos.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 #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)) (acos.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)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.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 (acos.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 #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)) (acos.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)) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.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 (acos.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 #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)) (acos.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (/.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 v #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 4 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))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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)))) (+.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)))) (*.f64 (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)))) (+.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))) (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 (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)))) (+.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)))) (+.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))))))
Outputs
(-.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)))))
Calls

4 calls:

5.0ms
(*.f64 v v)
5.0ms
v
4.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.5%1(*.f64 v v)
99.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.5%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))))
99.5%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes8.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Counts
6 → 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))))
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
99.5%1(*.f64 v v)
99.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.5%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))))
99.5%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes6.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB 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
99.2%1(*.f64 v v)
99.2%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.2%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.2%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes4.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
Calls

4 calls:

1.0ms
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
99.1%1(*.f64 v v)
99.1%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.1%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.1%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes4.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB 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
(*.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(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.5%1(*.f64 v v)
98.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.5%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify44.0ms (0.7%)

Memory
-42.4MiB live, 52.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03191
15291
213591
362991
4288391
Stop Event
1×node limit
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)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Outputs
(-.f64 (/.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))))
(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))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

derivations54.0ms (0.8%)

Memory
2.7MiB live, 48.6MiB allocated; 3ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 91 to 32 computations (64.8% saved)

preprocess26.0ms (0.4%)

Memory
41.3MiB live, 41.3MiB allocated; 0ms collecting garbage
Remove

(abs v)

Compiler

Compiled 242 to 108 computations (55.4% saved)

end0.0ms (0%)

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

Profiling

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