Falkner and Boettcher, Appendix B, 1

Time bar (total: 5.6s)

start0.0ms (0%)

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

analyze317.0ms (5.7%)

Memory
35.2MiB live, 368.6MiB allocated; 41ms 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)

sample2.9s (51.1%)

Memory
81.8MiB live, 4 178.1MiB allocated; 630ms collecting garbage
Samples
1.1s3 870×3valid
534.0ms8 214×0invalid
370.0ms2 074×2valid
291.0ms2 160×1valid
13.0ms152×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-acos: 588.0ms (34.1% of total)
adjust: 410.0ms (23.7% of total)
ival-mult!: 283.0ms (16.4% of total)
ival-div!: 272.0ms (15.8% of total)
ival-sub!: 174.0ms (10.1% of total)
Bogosity

preprocess36.0ms (0.6%)

Memory
-36.8MiB live, 15.3MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01743
16643
222543
395443
4444043
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Symmetry

(abs v)

Compiler

Compiled 22 to 18 computations (18.2% saved)

series4.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB 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))

rewrite106.0ms (1.9%)

Memory
-2.7MiB live, 136.2MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071406
082391
1398388
03265342
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
29 → 151
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))))))))
(neg.f64 (-.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 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.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))))))
(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 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #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 (/.f64 #s(literal 1 binary64) (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 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #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 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #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 (/.f64 #s(literal 1 binary64) (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 (-.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) (*.f64 (*.f64 (*.f64 v v) v) v))) (*.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) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) v) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 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)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.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 (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (/.f64 #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)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(neg.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 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) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #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))))
(-.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (fma.f64 v v #s(literal -1 binary64))))))
(+.f64 (/.f64 #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))))
(/.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 v v) v) v)) #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) (*.f64 (*.f64 (*.f64 v v) v) v)))) (neg.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) v) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 v v) v) v))) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) #s(literal 1 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 v v) v) v) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) v) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -5 binary64) (neg.f64 v)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -5 binary64) (fabs.f64 v)) (fabs.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 v #s(literal 5 binary64))) 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 v #s(literal 5 binary64)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 v) v) #s(literal 5 binary64) #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 5 binary64) (*.f64 (neg.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) (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) v) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) #s(literal 125 binary64)) (fma.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) v) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 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) (fma.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) v) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) (fma.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) v) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 5 binary64) (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 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 (fma.f64 (*.f64 v v) (*.f64 v v) #s(literal -1 binary64))) (neg.f64 (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (fma.f64 v v #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 v v) v) v (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 v v) v) v (fma.f64 v v #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(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 (*.f64 (*.f64 (*.f64 v v) v) v) (fma.f64 v v #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (fma.f64 (*.f64 (*.f64 v v) v) v (fma.f64 v v #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 v v) v) v (fma.f64 v v #s(literal 1 binary64)))))
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 v v))
(+.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 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)) 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)) (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #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 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #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) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v))

eval18.0ms (0.3%)

Memory
43.7MiB live, 43.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 405 to 709 computations (49.5% saved)

prune14.0ms (0.3%)

Memory
-33.4MiB live, 16.4MiB allocated; 6ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1685173
Fresh000
Picked101
Done000
Total1695174
Accuracy
99.1%
Counts
174 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(/.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))))))))
▶99.1%
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
▶98.6%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
▶98.2%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
▶97.5%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 188 to 138 computations (26.6% saved)

series18.0ms (0.3%)

Memory
23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Counts
32 → 58
Calls
Call 1
Inputs
(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 (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))
(/.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 (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)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(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))
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (/.f64 (PI.f64) #s(literal 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)))))))
(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)))))
Outputs
#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 (/ (+ (* (* -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 (/ (- (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
#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 (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))))
#s(approx (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (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))))) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (* 1/2 (* (PI) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
#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 (/ (+ (* (* -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 (/ (- (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
#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 (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))
#s(approx (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (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))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
v
@inf
((acos (/ (+ (* (* -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) (/ (- (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) (- (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (pow (/ (PI) 2) 3) (/ (PI) 2) (PI) 2 3 (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))
5.0ms
v
@0
((acos (/ (+ (* (* -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) (/ (- (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) (- (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (pow (/ (PI) 2) 3) (/ (PI) 2) (PI) 2 3 (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))
3.0ms
v
@-inf
((acos (/ (+ (* (* -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) (/ (- (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) (- (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (pow (/ (PI) 2) 3) (/ (PI) 2) (PI) 2 3 (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))

rewrite223.0ms (4%)

Memory
-3.1MiB live, 276.4MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01862119
02281830
110021724
069671696
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
90 → 647
Calls
Call 1
Inputs
(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 (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))
(/.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 (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)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(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))
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (/.f64 (PI.f64) #s(literal 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)))))))
(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)))))
#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 (/ (+ (* (* -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)))))
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#s(approx (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
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#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 (/ (- (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
#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 (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))
#s(approx (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (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))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#s(approx (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
Outputs
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(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal 8 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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal 8 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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal 8 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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) (fma.f64 (/.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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal 8 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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))))))
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(/.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)))) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (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)))) (PI.f64))) #s(literal -2 binary64))
(/.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)))) (PI.f64)) #s(literal 2 binary64))
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#s(approx (+ (* (* -5 v) v) 1) #s(literal 1 binary64))
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#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.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))))
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#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.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)))) (fma.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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (*.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)))) (fma.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 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) #s(literal 1/2 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 (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -5 binary64))))
#s(approx (+ (* (* -5 v) v) 1) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
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#s(approx (+ (* v v) -1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
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#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #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) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) (*.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) v) v))
#s(approx (+ (* (+ (* 4 (* v v)) 4) (* v v)) -1) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64))))
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#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.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)))) (fma.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 (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (*.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)))) (fma.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 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) #s(literal 1/2 binary64)))

eval339.0ms (6%)

Memory
-32.8MiB live, 382.3MiB allocated; 144ms collecting garbage
Compiler

Compiled 17 662 to 4 505 computations (74.5% saved)

prune39.0ms (0.7%)

Memory
-29.0MiB live, 74.8MiB allocated; 16ms collecting garbage
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1 24271 249
Fresh000
Picked145
Done000
Total1 243111 254
Accuracy
99.2%
Counts
1 254 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.2%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))
97.6%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.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 (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))))))))
▶99.1%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(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))))))))
▶96.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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))))))))
2.5%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal 8 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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal 8 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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))) (*.f64 (/.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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal 8 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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))))
▶98.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))
✓99.1%
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓98.6%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
✓98.2%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓97.5%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
▶99.1%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.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 (*.f64 #s(literal 1/4 binary64) (PI.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)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
Compiler

Compiled 837 to 405 computations (51.6% saved)

series28.0ms (0.5%)

Memory
15.8MiB live, 62.5MiB allocated; 7ms collecting garbage
Counts
55 → 88
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 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)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
(*.f64 v #s(literal -5 binary64))
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(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)))))))
(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))))))
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(*.f64 #s(literal -5 binary64) v)
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))
(asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* 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)
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.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 (*.f64 #s(literal 1/4 binary64) (PI.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)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.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 (*.f64 #s(literal 1/4 binary64) (PI.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)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.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)))
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/8 binary64)
(*.f64 (PI.f64) (PI.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))
(asin.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 (*.f64 #s(literal 1/4 binary64) (PI.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)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 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)))) (fma.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))))))
(fma.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(literal 1/2 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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)))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 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))
Outputs
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (- (* 1/2 (PI)) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (- (* 1/2 (PI)) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))) 3))))
#s(approx (pow (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) 3) #s(hole binary64 (pow (- (* 1/2 (PI)) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))) 3)))
#s(approx (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 -1))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* (* v -5) v) 1) #s(hole binary64 1))
#s(approx (+ (* (* v -5) v) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* v -5) #s(hole binary64 (* -5 v)))
#s(approx v #s(hole binary64 v))
#s(approx (+ (* v v) -1) #s(hole binary64 -1))
#s(approx (+ (* v v) -1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))))
#s(approx (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (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))))) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#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 (* (/ (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 (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (asin (/ (- 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 (+ (* (* 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)) (neg (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (neg (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) #s(hole binary64 (* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- (* (* 1/8 (* (PI) (PI))) (PI)) (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))))
#s(approx (- (* (* 1/8 (* (PI) (PI))) (PI)) (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
#s(approx (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) #s(hole binary64 (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) 3))))
#s(approx (pow (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) 3) #s(hole binary64 (pow (- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) 3)))
#s(approx (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 -5))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (* v -5) v) 1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (+ (* (* v -5) v) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (+ (* v v) -1) #s(hole binary64 (pow v 2)))
#s(approx (+ (* v v) -1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))
#s(approx (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (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))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#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 (* (/ (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 (/ (- 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 (+ (* (* v v) 4) -1) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (+ (* (* v v) 4) -1) #s(hole binary64 (* (pow v 2) (- 4 (/ 1 (pow v 2))))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- (* (* 1/8 (* (PI) (PI))) (PI)) (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))))
#s(approx (- (* (* 1/8 (* (PI) (PI))) (PI)) (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
#s(approx (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) #s(hole binary64 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
v
@-inf
((/ (- (pow (/ (PI) 2) 3) (pow (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) (- (pow (/ (PI) 2) 3) (pow (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) 3)) (pow (/ (PI) 2) 3) (/ (PI) 2) (PI) 2 3 (pow (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) 3) (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) (+ (* (* v -5) v) 1) (* v -5) v -5 1 (+ (* v v) -1) -1 (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (- (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* (* v v) 4) -1) (* v v) 4 (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (neg (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (sqrt (PI)) (/ (sqrt (PI)) 2) (neg (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (- (* (* 1/8 (* (PI) (PI))) (PI)) (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))))) (- (* (* 1/8 (* (PI) (PI))) (PI)) (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (* (* 1/8 (* (PI) (PI))) (PI)) (* 1/8 (* (PI) (PI))) 1/8 (* (PI) (PI)) (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* (* 1/4 (PI)) (PI)) (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))) (* 1/4 (PI)) 1/4 (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) 1/2 (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3))
7.0ms
v
@inf
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7.0ms
v
@0
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rewrite225.0ms (4%)

Memory
41.8MiB live, 317.6MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02754109
03643394
115662987
085362928
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
143 → 1 315
Calls
Call 1
Inputs
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(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
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(pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64))
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v
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#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) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))))
#s(approx (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (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))))) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
#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 (* (/ (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 (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (asin (/ (- 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 (+ (* (* 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)) (neg (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (neg (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) #s(hole binary64 (* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- (* (* 1/8 (* (PI) (PI))) (PI)) (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))))
#s(approx (- (* (* 1/8 (* (PI) (PI))) (PI)) (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
#s(approx (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) #s(hole binary64 (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) 3))))
#s(approx (pow (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) 3) #s(hole binary64 (pow (- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) 3)))
#s(approx (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 -5))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (* v -5) v) 1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (+ (* (* v -5) v) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (+ (* v v) -1) #s(hole binary64 (pow v 2)))
#s(approx (+ (* v v) -1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))))
#s(approx (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (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))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
#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 (* (/ (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 (/ (- 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 (+ (* (* v v) 4) -1) #s(hole binary64 (* 4 (pow v 2))))
#s(approx (+ (* (* v v) 4) -1) #s(hole binary64 (* (pow v 2) (- 4 (/ 1 (pow v 2))))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- (* (* 1/8 (* (PI) (PI))) (PI)) (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))))
#s(approx (- (* (* 1/8 (* (PI) (PI))) (PI)) (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
#s(approx (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) #s(hole binary64 (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
#s(approx (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) #s(hole binary64 (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (/ (PI) 2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))))
#s(approx (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
Outputs
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#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) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(approx (/ (- (* (* 1/8 (* (PI) (PI))) (PI)) (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (- (* (* 1/8 (* (PI) (PI))) (PI)) (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3)) (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
#s(approx (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) (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)))
#s(approx (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
#s(approx (* (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (+ (* 1/2 (PI)) (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (- (pow (/ (PI) 2) 3) (pow (- (/ (PI) 2) (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1)))) 3)) (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
#s(approx (pow (asin (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) 3) (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)))

eval325.0ms (5.8%)

Memory
-27.3MiB live, 437.7MiB allocated; 107ms collecting garbage
Compiler

Compiled 36 367 to 7 505 computations (79.4% saved)

prune50.0ms (0.9%)

Memory
33.0MiB live, 125.5MiB allocated; 4ms collecting garbage
Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New1 968141 982
Fresh202
Picked415
Done044
Total1 974191 993
Accuracy
99.2%
Counts
1 993 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (neg.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))))
97.6%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
97.6%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (*.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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (-.f64 (*.f64 (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 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (*.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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (*.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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (-.f64 (*.f64 (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 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))))))
▶96.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.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 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
96.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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)) (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 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
▶96.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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 (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 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
▶99.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 (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 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
2.5%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) (*.f64 (/.f64 (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 (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 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (/.f64 (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 (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 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (/.f64 (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 (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 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))))
✓98.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))
▶98.2%
(-.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))
✓99.1%
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓98.6%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
✓98.2%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓97.5%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
97.6%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.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)))) (fma.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)))))))))
▶99.1%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64) (pow.f64 (-.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
2.5%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (/.f64 (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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 (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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 (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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))
99.1%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.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 (*.f64 #s(literal 1/4 binary64) (PI.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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 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)))))))))
98.0%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) #s(approx (+ (* v v) -1) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
Compiler

Compiled 1 880 to 999 computations (46.9% saved)

series36.0ms (0.6%)

Memory
3.2MiB live, 56.3MiB allocated; 7ms collecting garbage
Counts
60 → 83
Calls
Call 1
Inputs
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64) (pow.f64 (-.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64) (pow.f64 (-.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64) (pow.f64 (-.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
(PI.f64)
(*.f64 #s(literal 1/8 binary64) (PI.f64))
#s(literal 1/8 binary64)
(pow.f64 (-.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(-.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 (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 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 3 binary64)
(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(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) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(-.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(sqrt.f64 (PI.f64))
#s(literal 2 binary64)
(asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* 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)
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 (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 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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)))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal 8 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 (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 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
#s(literal 5 binary64)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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 (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 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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)))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.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 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.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 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(*.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 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Outputs
#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) (* 1/8 (PI))) (PI)) (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3)) (+ (* (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (PI) (* (PI) 1/4)))) #s(hole binary64 (/ (+ (* 1/8 (pow (PI) 3)) (pow (- (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))))
#s(approx (+ (* (* (PI) (* 1/8 (PI))) (PI)) (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3)) #s(hole binary64 (+ (* 1/8 (pow (PI) 3)) (pow (- (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 3))))
#s(approx (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3) #s(hole binary64 (pow (- (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 3)))
#s(approx (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) #s(hole binary64 (- (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 -1))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* 4 (pow v 2)) 1)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 1))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (+ 1 (* -5 (pow v 2)))))
#s(approx (* -5 v) #s(hole binary64 (* -5 v)))
#s(approx v #s(hole binary64 v))
#s(approx (+ (* v v) -1) #s(hole binary64 -1))
#s(approx (+ (* v v) -1) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (+ (* (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (PI) (* (PI) 1/4))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
#s(approx (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (- (* (/ (sqrt (PI)) 2) (sqrt (PI))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) #s(hole binary64 (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) #s(hole binary64 (asin (/ (- 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 (+ (* (* 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 (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))))
#s(approx (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
#s(approx (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) #s(hole binary64 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(hole binary64 1))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(hole binary64 (+ 1 (* -4 (pow v 2)))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))))
#s(approx (+ (* (* v v) 5) -1) #s(hole binary64 -1))
#s(approx (+ (* (* v v) 5) -1) #s(hole binary64 (- (* 5 (pow v 2)) 1)))
#s(approx (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))))
#s(approx (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4)))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))))))
#s(approx (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)))))
#s(approx (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (* (sqrt (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))))
#s(approx (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) #s(hole binary64 (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)))
#s(approx (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
#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) (* 1/8 (PI))) (PI)) (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3)) (+ (* (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (PI) (* (PI) 1/4)))) #s(hole binary64 (/ (+ (* 1/8 (pow (PI) 3)) (pow (- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))))
#s(approx (+ (* (* (PI) (* 1/8 (PI))) (PI)) (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3)) #s(hole binary64 (+ (* 1/8 (pow (PI) 3)) (pow (- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 3))))
#s(approx (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3) #s(hole binary64 (pow (- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 3)))
#s(approx (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) #s(hole binary64 (- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 -5))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (+ (* v v) -1) #s(hole binary64 (pow v 2)))
#s(approx (+ (* v v) -1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
#s(approx (+ (* (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (PI) (* (PI) 1/4))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
#s(approx (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- 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 (+ (* (* 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 (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))))
#s(approx (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(hole binary64 5))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(hole binary64 (+ 5 (* 4 (/ 1 (pow v 2))))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(hole binary64 (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(hole binary64 (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))))
#s(approx (+ (* (* v v) 5) -1) #s(hole binary64 (* 5 (pow v 2))))
#s(approx (+ (* (* v v) 5) -1) #s(hole binary64 (* (pow v 2) (- 5 (/ 1 (pow v 2))))))
#s(approx (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))))
#s(approx (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4)))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))))))
#s(approx (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)))))
#s(approx (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (* (sqrt (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
Calls

3 calls:

TimeVariablePointExpression
16.0ms
v
@0
((acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* (PI) (* 1/8 (PI))) (PI)) (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3)) (+ (* (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (PI) (* (PI) 1/4)))) (+ (* (* (PI) (* 1/8 (PI))) (PI)) (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3)) (* (PI) (* 1/8 (PI))) (PI) (* 1/8 (PI)) 1/8 (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3) (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) -5 v 1 (+ (* v v) -1) -1 (* (PI) 1/2) 1/2 3 (+ (* (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (PI) (* (PI) 1/4))) (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) (* (PI) 1/4)) (* (PI) 1/4) 1/4 (- (* (/ (sqrt (PI)) 2) (sqrt (PI))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ (sqrt (PI)) 2) (sqrt (PI))) (/ (sqrt (PI)) 2) (sqrt (PI)) 2 (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* (* v v) 4) -1) (* v v) 4 (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (/ (* (PI) (* (PI) (PI))) 8) (* (PI) (* (PI) (PI))) (* (PI) (PI)) 8 (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (+ (* (* v v) 5) -1) 5 (/ (* (PI) (PI)) 4) (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4)))) (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4))) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4)) (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))
9.0ms
v
@inf
((acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* (PI) (* 1/8 (PI))) (PI)) (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3)) (+ (* (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (PI) (* (PI) 1/4)))) (+ (* (* (PI) (* 1/8 (PI))) (PI)) (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3)) (* (PI) (* 1/8 (PI))) (PI) (* 1/8 (PI)) 1/8 (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3) (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) -5 v 1 (+ (* v v) -1) -1 (* (PI) 1/2) 1/2 3 (+ (* (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (PI) (* (PI) 1/4))) (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) (* (PI) 1/4)) (* (PI) 1/4) 1/4 (- (* (/ (sqrt (PI)) 2) (sqrt (PI))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ (sqrt (PI)) 2) (sqrt (PI))) (/ (sqrt (PI)) 2) (sqrt (PI)) 2 (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* (* v v) 4) -1) (* v v) 4 (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (/ (* (PI) (* (PI) (PI))) 8) (* (PI) (* (PI) (PI))) (* (PI) (PI)) 8 (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (+ (* (* v v) 5) -1) 5 (/ (* (PI) (PI)) 4) (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4)))) (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4))) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4)) (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))
6.0ms
v
@-inf
((acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* (PI) (* 1/8 (PI))) (PI)) (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3)) (+ (* (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (PI) (* (PI) 1/4)))) (+ (* (* (PI) (* 1/8 (PI))) (PI)) (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3)) (* (PI) (* 1/8 (PI))) (PI) (* 1/8 (PI)) 1/8 (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3) (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (+ (* (* -5 v) v) 1) (* -5 v) -5 v 1 (+ (* v v) -1) -1 (* (PI) 1/2) 1/2 3 (+ (* (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (PI) (* (PI) 1/4))) (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) (* (PI) 1/4)) (* (PI) 1/4) 1/4 (- (* (/ (sqrt (PI)) 2) (sqrt (PI))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (* (/ (sqrt (PI)) 2) (sqrt (PI))) (/ (sqrt (PI)) 2) (sqrt (PI)) 2 (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* (* v v) 4) -1) (* v v) 4 (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (/ (* (PI) (* (PI) (PI))) 8) (* (PI) (* (PI) (PI))) (* (PI) (PI)) 8 (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (+ (* (* v v) 5) -1) 5 (/ (* (PI) (PI)) 4) (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4)))) (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4))) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4)) (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))

rewrite202.0ms (3.6%)

Memory
-28.1MiB live, 300.5MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03073976
04133678
117783576
085333512
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
143 → 741
Calls
Call 1
Inputs
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(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64) (pow.f64 (-.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64) (pow.f64 (-.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
(PI.f64)
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(*.f64 #s(literal -5 binary64) v)
#s(literal -5 binary64)
v
#s(literal 1 binary64)
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(*.f64 (PI.f64) #s(literal 1/2 binary64))
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#s(approx (* v v) #s(hole binary64 (pow v 2)))
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#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))))
#s(approx (+ (* (* v v) 5) -1) #s(hole binary64 -1))
#s(approx (+ (* (* v v) 5) -1) #s(hole binary64 (- (* 5 (pow v 2)) 1)))
#s(approx (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))))
#s(approx (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4)))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))))))
#s(approx (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)))))
#s(approx (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (* (sqrt (PI)) (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
#s(approx (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))))
#s(approx (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) #s(hole binary64 (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)))
#s(approx (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))))
#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) (* 1/8 (PI))) (PI)) (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3)) (+ (* (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (PI) (* (PI) 1/4)))) #s(hole binary64 (/ (+ (* 1/8 (pow (PI) 3)) (pow (- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))))
#s(approx (+ (* (* (PI) (* 1/8 (PI))) (PI)) (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3)) #s(hole binary64 (+ (* 1/8 (pow (PI) 3)) (pow (- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 3))))
#s(approx (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3) #s(hole binary64 (pow (- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) 3)))
#s(approx (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) #s(hole binary64 (- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 -5))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)))
#s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) #s(hole binary64 (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* -5 (pow v 2))))
#s(approx (+ (* (* -5 v) v) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 5))))
#s(approx (+ (* v v) -1) #s(hole binary64 (pow v 2)))
#s(approx (+ (* v v) -1) #s(hole binary64 (* (pow v 2) (- 1 (/ 1 (pow v 2))))))
#s(approx (+ (* (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (PI) (* (PI) 1/4))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
#s(approx (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
#s(approx (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) #s(hole binary64 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
#s(approx (/ (- 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 (+ (* (* 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 (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))))
#s(approx (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) #s(hole binary64 (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
#s(approx (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(hole binary64 5))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(hole binary64 (+ 5 (* 4 (/ 1 (pow v 2))))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(hole binary64 (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(hole binary64 (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))))
#s(approx (+ (* (* v v) 5) -1) #s(hole binary64 (* 5 (pow v 2))))
#s(approx (+ (* (* v v) 5) -1) #s(hole binary64 (* (pow v 2) (- 5 (/ 1 (pow v 2))))))
#s(approx (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))))
#s(approx (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))
#s(approx (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4)))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))))))
#s(approx (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)))))
#s(approx (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) #s(hole binary64 (* (sqrt (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
Outputs
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (pow.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)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
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#s(approx (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
#s(approx (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (*.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)))) (sqrt.f64 (PI.f64))))
#s(approx (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4)) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
#s(approx (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
#s(approx (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(approx (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 (/ (+ (* (* (PI) (* 1/8 (PI))) (PI)) (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3)) (+ (* (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (PI) (* (PI) 1/4)))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.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)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
#s(approx (+ (* (* (PI) (* 1/8 (PI))) (PI)) (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3)) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.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)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
#s(approx (pow (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) 3) (pow.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)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
#s(approx (- (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (* (PI) 1/2)) (-.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 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 5 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64))) (*.f64 v v)) #s(literal 5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 5 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 v v))))
#s(approx (+ (* (* -5 v) v) 1) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
#s(approx (+ (* (* -5 v) v) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)) (*.f64 v v)))
#s(approx (+ (* v v) -1) (*.f64 v v))
#s(approx (+ (* v v) -1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v)))
#s(approx (+ (* (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (* (PI) (* (PI) 1/4))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
#s(approx (+ (* (PI) 1/2) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#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 (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 5 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64))) (*.f64 v v)) #s(literal 5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 5 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 v v))))
#s(approx (+ (* (* v v) 4) -1) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
#s(approx (+ (* (* v v) 4) -1) (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v)))
#s(approx (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
#s(approx (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
#s(approx (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3) (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)))
#s(approx (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 5 binary64))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 5 binary64)))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 4 binary64) (*.f64 v v))) #s(literal 5 binary64)))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 5 binary64)) (fma.f64 (pow.f64 v #s(literal -6 binary64)) #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (*.f64 v v))))))
#s(approx (+ (* (* v v) 5) -1) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
#s(approx (+ (* (* v v) 5) -1) (*.f64 (-.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v)))
#s(approx (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
#s(approx (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
#s(approx (/ (- (pow (* (sqrt (PI)) (/ (sqrt (PI)) 2)) 3) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
#s(approx (+ (* (/ (sqrt (PI)) 2) (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))))) (+ (pow (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) 2) (/ (* (PI) (PI)) 4))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
#s(approx (* (sqrt (PI)) (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)))) (*.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)))) (sqrt.f64 (PI.f64))))

eval262.0ms (4.7%)

Memory
9.3MiB live, 434.2MiB allocated; 61ms collecting garbage
Compiler

Compiled 33 667 to 6 854 computations (79.6% saved)

prune77.0ms (1.4%)

Memory
36.7MiB live, 175.9MiB allocated; 9ms collecting garbage
Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New1 959151 974
Fresh549
Picked415
Done055
Total1 968251 993
Accuracy
99.2%
Counts
1 993 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (neg.f64 #s(approx (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))))
97.6%
(/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
97.6%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (/.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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
97.6%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (*.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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (-.f64 (*.f64 (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 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (*.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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (*.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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (-.f64 (*.f64 (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 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))))))
96.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 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 #s(literal 2 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 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))))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.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 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
95.0%
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.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 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.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))))) #s(literal 2 binary64)))))))
95.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.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 (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
96.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
95.9%
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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 (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 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
95.7%
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #s(approx (+ (* v v) -1) #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
96.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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))) #s(approx (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
95.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) #s(literal 3 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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
99.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
98.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #s(approx (+ (* v v) -1) #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
✓98.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))
✓98.2%
(-.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))
✓99.1%
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓98.6%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
✓98.2%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓97.5%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
99.1%
#s(approx (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
53.0%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64) (pow.f64 (-.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 #s(approx (+ (* (* -5 v) v) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)) (*.f64 v v))) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
99.1%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64) (exp.f64 (*.f64 (log.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)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
3.1%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (exp.f64 (*.f64 (*.f64 (log.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)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.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)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
2.5%
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (/.f64 (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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 (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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 (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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))
Compiler

Compiled 2 668 to 1 144 computations (57.1% saved)

regimes51.0ms (0.9%)

Memory
-24.0MiB live, 82.3MiB allocated; 27ms collecting garbage
Counts
42 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #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 (/.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 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (neg.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 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #s(approx (+ (* v v) -1) #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
#s(approx (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) #s(approx (+ (* v v) -1) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 (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 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) #s(literal 3 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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.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 (*.f64 #s(literal 1/4 binary64) (PI.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)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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 (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 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64) (pow.f64 (-.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.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 (*.f64 #s(literal 1/4 binary64) (PI.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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 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 (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.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)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #s(approx (+ (* v v) -1) #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (PI.f64) (exp.f64 (*.f64 (log.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)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.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))) #s(approx (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
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#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (/.f64 (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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 (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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 (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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal 8 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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal 8 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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))) (*.f64 (/.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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal 8 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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))))
Outputs
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
Calls

4 calls:

20.0ms
v
11.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
8.0ms
(*.f64 v v)
7.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
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 24 to 20 computations (16.7% saved)

regimes58.0ms (1%)

Memory
-16.8MiB live, 29.0MiB allocated; 4ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #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 (/.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 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (neg.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 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) #s(approx (+ (* v v) -1) #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
#s(approx (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) 3)) (+ (* (asin (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (/ (* (PI) (PI)) 4))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.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) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) #s(approx (+ (* v v) -1) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 (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 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) #s(literal 3 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)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
#s(approx (acos (/ (+ (* (* -5 v) v) 1) (+ (* v v) -1))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.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 (*.f64 #s(literal 1/4 binary64) (PI.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)))) (fma.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)))))))))
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:

47.0ms
(*.f64 v v)
4.0ms
v
3.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.1%1(*.f64 v v)
99.1%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.1%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.1%1v
Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes6.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB 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))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #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))))
Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
Calls

4 calls:

2.0ms
v
1.0ms
(*.f64 v v)
1.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.6%1(*.f64 v v)
98.6%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))))
98.6%1v
98.6%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes5.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))
Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))
Calls

4 calls:

1.0ms
v
1.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms
(*.f64 v v)
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.2%1(*.f64 v v)
98.2%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.2%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))))
98.2%1v
Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes4.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB 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
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
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))))
Results
AccuracySegmentsBranch
98.2%1(*.f64 v v)
98.2%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.2%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))))
98.2%1v
Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes5.0ms (0.1%)

Memory
-38.3MiB live, 8.0MiB allocated; 2ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

2.0ms
v
1.0ms
(*.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
97.5%1(*.f64 v v)
97.5%1v
97.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
97.5%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))))
Compiler

Compiled 24 to 20 computations (16.7% saved)

derivations243.0ms (4.3%)

Memory
48.7MiB live, 231.2MiB allocated; 22ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 91 to 54 computations (40.7% saved)

preprocess52.0ms (0.9%)

Memory
-43.8MiB live, 108.7MiB allocated; 12ms collecting garbage
Remove

(abs v)

Compiler

Compiled 328 to 263 computations (19.8% saved)

end0.0ms (0%)

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

Profiling

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