Falkner and Boettcher, Appendix B, 1

Time bar (total: 13.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze489.0ms (3.5%)

Memory
0.8MiB live, 599.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
0%0%100%0%0%0%0%4
0%0%100%0%0%0%0%5
0%0%100%0%0%0%0%6
0%0%100%0%0%0%0%7
0%0%100%0%0%0%0%8
0%0%100%0%0%0%0%9
0%0%100%0%0%0%0%10
0%0%100%0%0%0%0%11
0%0%100%0%0%0%0%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample4.1s (29.5%)

Memory
77.1MiB live, 4 741.6MiB allocated
Samples
1.3s3 700×3valid
1.0s8 166×0invalid
527.0ms2 054×2valid
335.0ms2 192×1valid
23.0ms310×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-acos: 646.0ms (28.5% of total)
ival-mult: 405.0ms (17.9% of total)
ival-div: 400.0ms (17.6% of total)
ival-sub: 395.0ms (17.4% of total)
adjust: 385.0ms (17% of total)
exact: 18.0ms (0.8% of total)
ival-true: 12.0ms (0.5% of total)
ival-assert: 8.0ms (0.4% of total)
Bogosity

explain230.0ms (1.7%)

Memory
-17.8MiB live, 391.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
8245(7.741590123732952e-97)0-(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
02(-1.482507131215585e-162)0-(*.f64 #s(literal 5 binary64) (*.f64 v v))
00-0-#s(literal 1 binary64)
00-0-(*.f64 v v)
00-0-#s(literal 5 binary64)
00-0-(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
00-0-v
00-0-(-.f64 (*.f64 v v) #s(literal 1 binary64))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
acos.f64(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))sensitivity2530
Confusion
Predicted +Predicted -
+80
-2453
Precision
0.03162055335968379
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+800
-24503
Precision?
0.03162055335968379
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
73.0ms212×3valid
29.0ms132×2valid
25.0ms150×1valid
1.0ms18×0valid
Compiler

Compiled 119 to 31 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
adjust: 32.0ms (32.3% of total)
ival-acos: 26.0ms (26.3% of total)
ival-sub: 16.0ms (16.2% of total)
ival-div: 12.0ms (12.1% of total)
ival-mult: 12.0ms (12.1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess216.0ms (1.6%)

Memory
5.8MiB live, 200.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 668×lower-fma.f64
8 668×lower-fma.f32
2 288×lower-*.f32
2 284×lower-*.f64
2 140×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
14029
212829
347629
4206029
5407529
6498129
7530929
8699129
0914
01514
13514
28014
320614
458414
5124314
6250114
7390714
8572114
9741914
10797614
0808012
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Outputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Symmetry

(abs v)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(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 15 to 9 computations (40% saved)

simplify220.0ms (1.6%)

Memory
-8.1MiB live, 182.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
cost-diff0
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
cost-diff128
(-.f64 (*.f64 v v) #s(literal 1 binary64))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
Rules
8 668×lower-fma.f64
8 668×lower-fma.f32
2 288×lower-*.f32
2 284×lower-*.f64
2 140×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0950
01550
13550
28050
320650
458450
5124350
6250150
7390750
8572150
9741950
10797650
0808044
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.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
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(fma.f64 v v #s(literal -1 binary64))

localize78.0ms (0.6%)

Memory
-7.2MiB live, 152.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
accuracy0
(*.f64 v v)
accuracy0.19501879884221007
(*.f64 #s(literal 5 binary64) (*.f64 v v))
accuracy0.4663916133367144
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Samples
35.0ms106×3valid
15.0ms66×2valid
13.0ms75×1valid
1.0ms9×0valid
Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-acos: 16.0ms (32.2% of total)
adjust: 10.0ms (20.1% of total)
ival-sub: 10.0ms (20.1% of total)
ival-div: 8.0ms (16.1% of total)
ival-mult: 5.0ms (10.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())
#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (-.f64 (*.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (-.f64 (*.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (-.f64 (*.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) 1) (taylor 0 v) (#s(alt (-.f64 (*.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow v 2)) 1) (taylor 0 v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) (taylor 0 v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) (taylor 0 v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor 0 v) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor 0 v) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor 0 v) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor 0 v) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (* -5 (pow v 2)) (taylor inf v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor inf v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (-.f64 (*.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (-.f64 (*.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (-.f64 (*.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (-.f64 (*.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor inf v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -5 (taylor inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) (taylor inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) (taylor inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) (taylor inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor inf v) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor inf v) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor inf v) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor inf v) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (* -5 (pow v 2)) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 5)) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (-.f64 (*.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (-.f64 (*.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (-.f64 (*.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (-.f64 (*.f64 v v) #s(literal 1 binary64)) (patch (-.f64 (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -5 (taylor -inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) (taylor -inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) (taylor -inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) (taylor -inf v) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow v 2)) (taylor -inf v) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 v v)) (patch (*.f64 #s(literal 5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
1.0ms
v
@inf
((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))
1.0ms
v
@0
((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))
1.0ms
v
@-inf
((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))

simplify126.0ms (0.9%)

Memory
-25.7MiB live, 165.9MiB allocated
Algorithm
1×egg-herbie
Rules
7 768×lower-fma.f64
7 768×lower-fma.f32
4 212×lower-*.f64
4 212×lower-*.f32
1 926×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039516
1100510
2269506
3655506
42002504
55117504
08077457
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
-1
(- (pow v 2) 1)
(- (pow v 2) 1)
(- (pow v 2) 1)
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v v)) #s(literal 5 binary64))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 v v)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -5 binary64))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v v)) #s(literal 5 binary64))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 v v)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -5 binary64))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)

rewrite212.0ms (1.5%)

Memory
36.5MiB live, 354.4MiB allocated
Rules
4 956×lower-fma.f64
4 956×lower-fma.f32
4 584×lower-*.f32
4 580×lower-*.f64
3 506×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0947
01547
17047
253047
3682847
0801241
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 607
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(-.f64 (*.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 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 v v)
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -25 binary64) (*.f64 (*.f64 (*.f64 v v) v) v) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1 binary64))) (fma.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 v v)) #s(literal 5 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -125 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64))) (*.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -125 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64))) (*.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)))) (*.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -25 binary64) (*.f64 (*.f64 (*.f64 v v) v) v) #s(literal 1 binary64)) (fma.f64 #s(literal -25 binary64) (*.f64 (*.f64 (*.f64 v v) v) v) #s(literal 1 binary64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) (fma.f64 #s(literal -25 binary64) (*.f64 (*.f64 (*.f64 v v) v) v) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -125 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal -25 binary64) (*.f64 (*.f64 (*.f64 v v) v) v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal -25 binary64) (*.f64 (*.f64 (*.f64 v v) v) v) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -25 binary64) (*.f64 (*.f64 (*.f64 v v) v) v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -125 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -125 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 625 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) v)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 v v) v)) v #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 15625 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 v v) v)) v) (fma.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 v v) v)) v #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 15625 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1953125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 v v)) v) (/.f64 v (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 v v)) v) (/.f64 v (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 v v)) v) (/.f64 v (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 v v) v)) v) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 v v)) v) (/.f64 v (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 v v)) v) (/.f64 v (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 v v)) v) (/.f64 v (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 v v)) v) (/.f64 v (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -25 binary64) (*.f64 (*.f64 (*.f64 v v) v) v) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -25 binary64) (*.f64 (*.f64 (*.f64 v v) v) v) #s(literal 1 binary64)))) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 1 binary64)))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 625 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) v)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 v v) v)) v #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 15625 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 v v) v)) v) (fma.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 v v) v)) v #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 15625 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1953125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -25 binary64) (*.f64 (*.f64 (*.f64 v v) v) v) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 v v) v)) v))) (*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v)))) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 25 binary64) (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))))
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(*.f64 (neg.f64 (*.f64 #s(literal -5 binary64) v)) v)
(*.f64 (neg.f64 (*.f64 (neg.f64 v) v)) #s(literal 5 binary64))
(*.f64 (*.f64 #s(literal -5 binary64) v) (neg.f64 v))
(*.f64 (*.f64 (neg.f64 v) v) #s(literal -5 binary64))
(*.f64 (*.f64 v #s(literal 5 binary64)) (neg.f64 (neg.f64 v)))
(*.f64 (*.f64 v #s(literal 5 binary64)) v)
(*.f64 #s(literal -5 binary64) (*.f64 (neg.f64 v) v))
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(*.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))
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(*.f64 v (*.f64 v #s(literal 5 binary64)))
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(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
(neg.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(*.f64 (*.f64 v 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 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))

eval103.0ms (0.7%)

Memory
6.2MiB live, 231.7MiB allocated
Compiler

Compiled 21 829 to 2 162 computations (90.1% saved)

prune92.0ms (0.7%)

Memory
-7.4MiB live, 232.5MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New6918699
Fresh000
Picked101
Done000
Total6928700
Accuracy
99.3%
Counts
700 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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)))))
99.3%
(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)))))
▶99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
▶99.3%
(-.f64 (PI.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)))))
99.3%
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
▶98.8%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
98.6%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
▶98.0%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 300 to 166 computations (44.7% saved)

simplify141.0ms (1%)

Memory
-8.7MiB live, 155.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff1600
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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)))))
cost-diff0
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff0
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (PI.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)))))
cost-diff0
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
cost-diff0
#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)))
cost-diff0
(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))))
cost-diff0
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
cost-diff0
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
cost-diff0
(*.f64 (PI.f64) (PI.f64))
cost-diff0
(fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
cost-diff0
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
Rules
7 898×lower-fma.f32
7 882×lower-fma.f64
3 592×lower-*.f32
3 580×lower-*.f64
1 848×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045512
081504
1146491
2273489
3604489
41512489
52533489
64378489
76325489
08198482
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
#s(literal 3 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))
#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))))
#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))
#s(literal 4 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (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))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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)))))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#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))))
(/.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))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (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))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (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))))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #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 #s(literal -5 binary64) (*.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 v v)
v
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 (*.f64 (PI.f64) (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)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
#s(literal 3 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))
#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))))
#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))
#s(literal 4 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.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)))))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #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)))
(/.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 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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)))))
(fma.f64 #s(literal 1/2 binary64) (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)))))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#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))))
(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 v v) #s(literal 5 binary64) #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 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))

localize474.0ms (3.4%)

Memory
25.4MiB live, 651.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 v v)
accuracy0
(PI.f64)
accuracy0.5030634298891901
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy0
(*.f64 v v)
accuracy0
(PI.f64)
accuracy0.00390625
(-.f64 (PI.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)))))
accuracy59.6363347964153
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy0
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
accuracy0
(*.f64 v v)
accuracy0.3088569687891513
#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)))
accuracy0.4663916133367144
(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))))
accuracy0.4663916133367144
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
accuracy0.7327467378110715
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
accuracy0.96484375
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
accuracy0.9889450195368841
(pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
accuracy1.0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy58.915175883284405
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
Samples
198.0ms106×3valid
75.0ms66×2valid
72.0ms79×1valid
2.0ms5×0valid
Compiler

Compiled 546 to 50 computations (90.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 280.0ms
adjust: 55.0ms (19.7% of total)
ival-mult: 45.0ms (16.1% of total)
ival-acos: 44.0ms (15.7% of total)
ival-asin: 41.0ms (14.7% of total)
ival-div: 28.0ms (10% of total)
ival-add: 24.0ms (8.6% of total)
ival-pow: 21.0ms (7.5% of total)
ival-sub: 14.0ms (5% of total)
ival-sqrt: 4.0ms (1.4% of total)
ival-pi: 3.0ms (1.1% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.2%)

Memory
13.4MiB live, 50.0MiB allocated
Counts
22 → 204
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (patch (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (patch (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) (PI.f64)) (patch (*.f64 (PI.f64) (PI.f64)) #<representation binary64>) () ())
#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) (patch (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) (patch #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (PI.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))))) (patch (-.f64 (PI.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))))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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))))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (patch (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #<representation binary64>) () ())
#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())
#s(alt (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt (/ (- (* 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)))))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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))))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor -inf v) (#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor -inf v) (#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor -inf v) (#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3) (taylor -inf v) (#s(alt (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
6.0ms
v
@inf
((/ 1 (/ (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3)))) (/ (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3))) (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (* (PI) (PI)) (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)) 4) (* v v)) -1) (+ (* 4 (* v v)) 4) (- (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (sqrt (PI)) (* (sqrt (PI)) 1/2) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (* (* (PI) (PI)) (PI)) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3) (* v v) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))
5.0ms
v
@0
((/ 1 (/ (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3)))) (/ (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3))) (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (* (PI) (PI)) (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)) 4) (* v v)) -1) (+ (* 4 (* v v)) 4) (- (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (sqrt (PI)) (* (sqrt (PI)) 1/2) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (* (* (PI) (PI)) (PI)) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3) (* v v) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))
3.0ms
v
@-inf
((/ 1 (/ (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3)))) (/ (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3))) (+ (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (* (PI) (PI)) (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)) 4) (* v v)) -1) (+ (* 4 (* v v)) 4) (- (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (sqrt (PI)) (* (sqrt (PI)) 1/2) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (* (* (PI) (PI)) (PI)) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3) (* v v) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))))

simplify196.0ms (1.4%)

Memory
-9.5MiB live, 224.0MiB allocated
Algorithm
1×egg-herbie
Rules
12 620×lower-fma.f64
12 620×lower-fma.f32
4 452×lower-*.f64
4 452×lower-*.f32
1 774×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934044
12374032
25334012
312314004
428643998
569233998
083693467
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (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))))) (- (* 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))))) (- (* 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))))) (- (* 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)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
4
(+ 4 (* 4 (pow v 2)))
(+ 4 (* 4 (pow v 2)))
(+ 4 (* 4 (pow v 2)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (- (* 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))))))
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(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
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(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
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(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
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(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
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(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
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(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
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(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* 4 (pow v 2))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
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(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
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(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
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(/ (- (* 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))))))
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(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
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5
(+ 5 (* 4 (/ 1 (pow v 2))))
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(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow v 2)
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(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
Outputs
(/ (- (* 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))))))
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(/ (- (* 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))))))
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-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
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(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
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#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
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(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
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-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
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(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
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4
#s(literal 4 binary64)
(+ 4 (* 4 (pow v 2)))
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(+ 4 (* 4 (pow v 2)))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
(+ 4 (* 4 (pow v 2)))
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(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
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1
#s(literal 1 binary64)
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(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
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(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
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(pow v 2)
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(pow v 2)
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(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
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(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
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(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (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))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (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))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (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))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (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))))
(+ (* 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)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(+ (* 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)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(+ (* 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)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(+ (* 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)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 5 binary64))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal -1 binary64)) #s(literal -5 binary64))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 5 binary64))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal -1 binary64)) #s(literal -5 binary64))
(* 4 (pow v 4))
(*.f64 (*.f64 (*.f64 v v) v) (*.f64 #s(literal 4 binary64) v))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) v) (*.f64 #s(literal 4 binary64) v))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -5 binary64))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)) #s(literal -5 binary64))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 v v)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 5 binary64))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

rewrite383.0ms (2.8%)

Memory
-15.3MiB live, 478.2MiB allocated
Rules
5 430×lower-fma.f32
5 414×lower-fma.f64
5 286×lower-*.f32
5 274×lower-*.f64
4 990×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045361
081423
1351251
22669248
09561248
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 1 222
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(*.f64 (PI.f64) (PI.f64))
(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 (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 (PI.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)))))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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)))))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 v v)
(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
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (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 6 binary64))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (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 6 binary64))))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (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)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (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 9 binary64))))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (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))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (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 6 binary64))))) (/.f64 (fma.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (-.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (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)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (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 9 binary64))))) (/.f64 (fma.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (-.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (-.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (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))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (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 6 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (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)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (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 9 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (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))) (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (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))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (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)))))
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(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
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(*.f64 v v)
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(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(neg.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (neg.f64 (fma.f64 v v #s(literal -1 binary64))))))
(neg.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)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
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(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
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(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))

eval479.0ms (3.5%)

Memory
13.0MiB live, 679.0MiB allocated
Compiler

Compiled 107 805 to 5 116 computations (95.3% saved)

prune449.0ms (3.3%)

Memory
-20.9MiB live, 463.6MiB allocated
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New2 086142 100
Fresh303
Picked325
Done000
Total2 092162 108
Accuracy
99.3%
Counts
2 108 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.9%
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
95.0%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
▶98.8%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.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))))))
97.8%
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
3.8%
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (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 6 binary64))) (*.f64 (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (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)))))
▶96.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
95.0%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
97.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
97.8%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.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)))))
98.8%
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* 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)))))
98.6%
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
3.8%
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (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 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (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)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (-.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))))
▶99.3%
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓98.8%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
▶98.6%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
✓98.0%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 1 196 to 536 computations (55.2% saved)

simplify139.0ms (1%)

Memory
33.4MiB live, 181.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))
cost-diff0
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
cost-diff0
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
cost-diff0
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
cost-diff64
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
cost-diff0
(asin.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))))
cost-diff0
(neg.f64 (asin.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)))))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.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))))))
cost-diff0
#s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64))
cost-diff0
(fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
cost-diff0
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))
cost-diff0
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
cost-diff0
(*.f64 v v)
cost-diff0
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff0
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Rules
6 792×lower-fma.f32
6 770×lower-fma.f64
3 110×lower-*.f32
3 098×lower-*.f64
2 582×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059652
0108638
1184628
2306626
3592626
41332626
52340626
63744626
75424626
08042616
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(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))
(*.f64 v v)
v
#s(literal -5 binary64)
#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)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
#s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.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))))))
(PI.f64)
#s(literal 1/2 binary64)
(neg.f64 (asin.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)))))
(asin.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))
#s(literal 4 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/3 binary64)
(cbrt.f64 (sqrt.f64 (PI.f64)))
(neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))
(cbrt.f64 (PI.f64))
(PI.f64)
#s(literal 6 binary64)
#s(literal 1/4 binary64)
(*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #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)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #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))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#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)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
#s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.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)))))
(PI.f64)
#s(literal 1/2 binary64)
(neg.f64 (asin.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)))))
(asin.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))
#s(literal 4 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) (PI.f64))) (neg.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))))))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) (PI.f64))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/3 binary64)
(cbrt.f64 (sqrt.f64 (PI.f64)))
(neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(neg.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)))))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 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 (fma.f64 #s(literal 5 binary64) (*.f64 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 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))
(cbrt.f64 (PI.f64))
(PI.f64)
#s(literal 6 binary64)
#s(literal 1/4 binary64)
(*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(literal 1/2 binary64)
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
#s(literal 3 binary64)

localize724.0ms (5.2%)

Memory
-6.9MiB live, 940.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy1.0
(cbrt.f64 (PI.f64))
accuracy2.0
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))
accuracy58.915175883284405
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy0.96484375
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
accuracy1.0
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy59.6363347964153
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy0
(PI.f64)
accuracy0.0078125
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.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))))))
accuracy0.3088569687891513
#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)))
accuracy0.5030634298891901
(asin.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))))
accuracy0
(*.f64 v v)
accuracy0.3088569687891513
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))
accuracy0.4663916133367144
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
accuracy0.6563495872530366
#s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64))
accuracy0
(fma.f64 v v #s(literal -1 binary64))
accuracy0
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy0
(*.f64 v v)
accuracy0.4663916133367144
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Samples
385.0ms106×3valid
100.0ms78×1valid
97.0ms66×2valid
3.0ms6×0valid
Compiler

Compiled 638 to 62 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 442.0ms
adjust: 98.0ms (22.2% of total)
ival-div: 85.0ms (19.2% of total)
ival-mult: 74.0ms (16.7% of total)
ival-acos: 63.0ms (14.3% of total)
ival-add: 31.0ms (7% of total)
ival-asin: 28.0ms (6.3% of total)
ival-pow: 22.0ms (5% of total)
ival-sub: 11.0ms (2.5% of total)
ival-cbrt: 10.0ms (2.3% of total)
ival-neg: 7.0ms (1.6% of total)
const: 4.0ms (0.9% of total)
ival-sqrt: 4.0ms (0.9% of total)
ival-pi: 2.0ms (0.5% of total)
exact: 2.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
18.8MiB live, 56.1MiB allocated
Counts
26 → 228
Calls
Call 1
Inputs
#s(alt (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())
#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) (patch (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (patch #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.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)))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.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)))))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (neg.f64 (asin.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))))) (patch (neg.f64 (asin.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))))) #<representation binary64>) () ())
#s(alt (asin.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)))) (patch (asin.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)))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (patch (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (patch (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (patch (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (patch (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (patch (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) #<representation binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) (patch (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 v v #s(literal -1 binary64)) (patch (fma.f64 v v #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (cbrt.f64 (PI.f64)) (patch (cbrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #<representation binary64>) () ())
Outputs
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow v 2)) 1) (taylor 0 v) (#s(alt (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) (taylor 0 v) (#s(alt (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) (taylor 0 v) (#s(alt (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -5 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) (patch (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) (patch (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) (patch (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) (patch (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow v 2)) 1) (taylor 0 v) (#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) (taylor 0 v) (#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) (taylor 0 v) (#s(alt #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow v 2)) 1) (taylor 0 v) (#s(alt (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) (taylor 0 v) (#s(alt (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) (taylor 0 v) (#s(alt (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 4 (taylor 0 v) (#s(alt #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (patch #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* 4 (pow v 2))) (taylor 0 v) (#s(alt #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (patch #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* 4 (pow v 2))) (taylor 0 v) (#s(alt #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (patch #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* 4 (pow v 2))) (taylor 0 v) (#s(alt #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (patch #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor 0 v) (#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.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)))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.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)))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor 0 v) (#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.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)))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.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)))))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
4.0ms
v
@0
((acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (+ (* (* v v) -5) 1) (* 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) (+ (* (PI) 1/2) (neg (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (PI) (neg (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (pow (* (sqrt (PI)) (* (PI) (PI))) 1/3) (+ (* (pow (* (sqrt (PI)) (* (PI) (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (* (sqrt (PI)) (* (PI) (PI))) (sqrt (PI)) (/ 1 (/ (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3)))) (/ (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3))) (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (pow (cbrt (PI)) 6) (+ (* v v) -1) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (cbrt (PI)) (* (* (PI) (PI)) (PI)))
4.0ms
v
@inf
((acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (+ (* (* v v) -5) 1) (* 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) (+ (* (PI) 1/2) (neg (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (PI) (neg (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (pow (* (sqrt (PI)) (* (PI) (PI))) 1/3) (+ (* (pow (* (sqrt (PI)) (* (PI) (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (* (sqrt (PI)) (* (PI) (PI))) (sqrt (PI)) (/ 1 (/ (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3)))) (/ (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3))) (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (pow (cbrt (PI)) 6) (+ (* v v) -1) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (cbrt (PI)) (* (* (PI) (PI)) (PI)))
4.0ms
v
@-inf
((acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)) (+ (* (* v v) -5) 1) (* 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) (+ (* (PI) 1/2) (neg (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (PI) (neg (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (pow (* (sqrt (PI)) (* (PI) (PI))) 1/3) (+ (* (pow (* (sqrt (PI)) (* (PI) (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (* (sqrt (PI)) (* (PI) (PI))) (sqrt (PI)) (/ 1 (/ (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3)))) (/ (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3))) (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (pow (cbrt (PI)) 6) (+ (* v v) -1) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (cbrt (PI)) (* (* (PI) (PI)) (PI)))

simplify189.0ms (1.4%)

Memory
-20.5MiB live, 247.6MiB allocated
Algorithm
1×egg-herbie
Rules
11 634×lower-fma.f64
11 634×lower-fma.f32
4 226×lower-*.f64
4 226×lower-*.f32
2 104×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0794164
12104146
24804122
310954118
431524112
564464112
082763587
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
4
(+ 4 (* 4 (pow v 2)))
(+ 4 (* 4 (pow v 2)))
(+ 4 (* 4 (pow v 2)))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (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))))) (- (* 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))))) (- (* 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))))) (- (* 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)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
-1
(- (pow v 2) 1)
(- (pow v 2) 1)
(- (pow v 2) 1)
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* 4 (pow v 2))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (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))))) (- (* 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))))) (- (* 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))))) (- (* 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)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* 4 (pow v 2))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (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))))) (- (* 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))))) (- (* 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))))) (- (* 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)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
Outputs
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (pow v 2)))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
(+ 4 (* 4 (pow v 2)))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
(+ 4 (* 4 (pow v 2)))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (*.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)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (*.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)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (*.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)))))
(- (* 1/2 (PI)) (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (*.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)))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(neg.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)))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(neg.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)))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(neg.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)))))
(* -1 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 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))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (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))) (fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/ (- (* 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))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (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))) (fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/ (- (* 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))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (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))) (fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/ (- (* 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))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (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))) (fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/.f64 (fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (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))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/.f64 (fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (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))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/.f64 (fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (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))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/.f64 (fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (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))))
(+ (* 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)))))
(fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
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#s(literal -1 binary64)
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(- (pow v 2) 1)
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(- (pow v 2) 1)
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#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
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#s(literal -5 binary64)
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#s(literal -5 binary64)
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(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
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(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
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(/ (- (* 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))))))
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (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))) (fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/ (- (* 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))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (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))) (fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/.f64 (fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (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))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/.f64 (fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (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))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/.f64 (fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (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))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/.f64 (fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (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))))
(+ (* 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)))))
(fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(+ (* 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)))))
(fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(+ (* 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)))))
(fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(+ (* 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)))))
(fma.f64 (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))))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v v)) #s(literal 5 binary64))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v))) #s(literal -5 binary64))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(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)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(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)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(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)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(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)))))

rewrite356.0ms (2.6%)

Memory
3.2MiB live, 383.7MiB allocated
Rules
5 584×lower-fma.f32
5 562×lower-fma.f64
4 540×lower-*.f32
4 528×lower-*.f64
2 756×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059450
0108370
1431317
23050313
08686313
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 1 261
Calls
Call 1
Inputs
(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))
(*.f64 v v)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
#s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.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))))))
(PI.f64)
(neg.f64 (asin.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)))))
(asin.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))))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))
(fma.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)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(cbrt.f64 (PI.f64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
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eval738.0ms (5.3%)

Memory
-67.3MiB live, 875.6MiB allocated
Compiler

Compiled 111 583 to 7 108 computations (93.6% saved)

prune336.0ms (2.4%)

Memory
56.8MiB live, 834.1MiB allocated
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New2 43382 441
Fresh369
Picked325
Done022
Total2 439182 457
Accuracy
99.3%
Counts
2 457 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.3%
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 15/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
▶95.0%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
96.9%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
▶98.8%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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))))))))
98.6%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))
1.8%
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.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)))))) (pow.f64 (asin.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(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.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))))))))
95.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
▶96.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
96.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
95.0%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
97.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
▶97.8%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.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)))))
98.8%
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* 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)))))
▶98.6%
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
✓99.3%
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓98.8%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
✓98.6%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
✓98.0%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 1 177 to 575 computations (51.1% saved)

simplify172.0ms (1.2%)

Memory
7.3MiB live, 240.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
cost-diff0
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
cost-diff12544
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(cbrt.f64 (sqrt.f64 (PI.f64)))
cost-diff1600
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
cost-diff12864
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.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)))))
cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff0
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
cost-diff0
(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
cost-diff0
(PI.f64)
cost-diff256
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))))
cost-diff768
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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))))))))
cost-diff1600
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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))))))
Rules
15 384×lower-fma.f32
15 362×lower-fma.f64
5 196×lower-*.f32
5 182×lower-*.f64
1 256×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064738
0118702
1207689
2410673
31230668
42531668
54745668
67452668
08092660
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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))))))))
(PI.f64)
#s(literal 1/2 binary64)
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (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))
#s(literal 4 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* 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)
v
#s(literal 1 binary64)
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (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))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
#s(literal 3 binary64)
(neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))
(cbrt.f64 (PI.f64))
(PI.f64)
#s(literal 6 binary64)
#s(literal 1/4 binary64)
(*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
#s(literal 5 binary64)
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(PI.f64)
#s(literal 1/2 binary64)
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(neg.f64 (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)))))
(neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #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 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* 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)
v
#s(literal 1 binary64)
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (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))
(*.f64 v v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(sqrt.f64 (PI.f64))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
#s(literal 3 binary64)
(neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(neg.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #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 #s(literal 5 binary64) (*.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 v v)
v
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 #s(literal -5 binary64) (*.f64 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 1/4 binary64))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 1/4 binary64))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 1/4 binary64)))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))
(*.f64 (PI.f64) (PI.f64))
(cbrt.f64 (PI.f64))
(PI.f64)
#s(literal 6 binary64)
#s(literal 1/4 binary64)
(*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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)))))
(asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(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 #s(literal 5 binary64) (*.f64 v v) #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 #s(literal 5 binary64) (*.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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))
#s(literal 3 binary64)

localize813.0ms (5.9%)

Memory
-62.0MiB live, 620.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy1.0
(cbrt.f64 (PI.f64))
accuracy2.0
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))
accuracy59.636334796415326
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy0
(PI.f64)
accuracy0.9921875
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy59.636334796415326
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy0.00390625
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.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)))))
accuracy1.0
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy59.6363347964153
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy0
(PI.f64)
accuracy0.00390625
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
accuracy0.4207669393186453
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy59.6363347964153
(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
accuracy0.3088569687891513
#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)))
accuracy0.4663916133367144
(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))))
accuracy0.9921875
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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))))))
accuracy1.0
(sqrt.f64 (PI.f64))
Samples
245.0ms66×2valid
245.0ms105×3valid
78.0ms80×1valid
2.0ms5×0valid
Compiler

Compiled 718 to 67 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 459.0ms
ival-sub: 101.0ms (22% of total)
ival-div: 68.0ms (14.8% of total)
adjust: 66.0ms (14.4% of total)
ival-acos: 61.0ms (13.3% of total)
ival-mult: 46.0ms (10% of total)
ival-add: 42.0ms (9.1% of total)
ival-pow: 23.0ms (5% of total)
ival-pi: 17.0ms (3.7% of total)
ival-neg: 12.0ms (2.6% of total)
ival-asin: 11.0ms (2.4% of total)
ival-cbrt: 7.0ms (1.5% of total)
ival-sqrt: 4.0ms (0.9% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
18.5MiB live, 18.5MiB allocated
Counts
23 → 180
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))))) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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))))))) (patch (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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))))))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) (patch (-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) (patch (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))) (patch #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (patch (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.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))))) (patch (-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.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))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (patch (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (patch (fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())
#s(alt (cbrt.f64 (sqrt.f64 (PI.f64))) (patch (cbrt.f64 (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) (patch (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (patch (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (patch (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (cbrt.f64 (PI.f64)) (patch (cbrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #<representation binary64>) () ())
Outputs
#s(alt (- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor 0 v) (#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor 0 v) (#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor 0 v) (#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor 0 v) (#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 v) (#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))))) #<representation binary64>) () ())) ())
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#s(alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
4.0ms
v
@inf
((+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (+ (* (PI) 1/2) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (PI) (- (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (* (sqrt (PI)) (sqrt (PI))) (- (* (sqrt (PI)) (sqrt (PI))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (sqrt (PI)) (pow (cbrt (sqrt (PI))) 3) (+ (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (cbrt (sqrt (PI))) (pow (cbrt (PI)) 6) (/ 1 (/ (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3)))) (/ (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3))) (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (cbrt (PI)) (* (* (PI) (PI)) (PI)))
3.0ms
v
@0
((+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (+ (* (PI) 1/2) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (PI) (- (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (* (sqrt (PI)) (sqrt (PI))) (- (* (sqrt (PI)) (sqrt (PI))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (sqrt (PI)) (pow (cbrt (sqrt (PI))) 3) (+ (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (cbrt (sqrt (PI))) (pow (cbrt (PI)) 6) (/ 1 (/ (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3)))) (/ (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3))) (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (cbrt (PI)) (* (* (PI) (PI)) (PI)))
2.0ms
v
@-inf
((+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (+ (* (PI) 1/2) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))))) (neg (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))) (PI) (- (PI) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (* (sqrt (PI)) (sqrt (PI))) (- (* (sqrt (PI)) (sqrt (PI))) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (sqrt (PI)) (pow (cbrt (sqrt (PI))) 3) (+ (* (pow (cbrt (sqrt (PI))) 3) (pow (cbrt (sqrt (PI))) 3)) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (cbrt (sqrt (PI))) (pow (cbrt (PI)) 6) (/ 1 (/ (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3)))) (/ (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3))) (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (cbrt (PI)) (* (* (PI) (PI)) (PI)))

simplify211.0ms (1.5%)

Memory
-14.1MiB live, 143.6MiB allocated
Algorithm
1×egg-herbie
Rules
11 238×lower-fma.f64
11 238×lower-fma.f32
3 776×lower-*.f64
3 776×lower-*.f32
2 050×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0853906
12053900
24493896
39903892
422203888
548963888
675603888
081333398
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (+ (* 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))))) (- (* 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))))) (- (* 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))))) (- (* 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))))) (- (* 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)))))
(+ (* 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)))))
(+ (* 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)))))
(+ (* 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)))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (+ (* 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))))) (- (* 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))))) (- (* 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))))) (- (* 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))))) (- (* 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)))))
(+ (* 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)))))
(+ (* 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)))))
(+ (* 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)))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (- (* 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))))))
(/ (+ (* 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))))) (- (* 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))))) (- (* 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))))) (- (* 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))))) (- (* 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)))))
(+ (* 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)))))
(+ (* 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)))))
(+ (* 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)))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
Outputs
(- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (* 1/2 (PI)) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.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)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.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)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.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)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -4 (pow v 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal -4 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal -4 binary64)) (*.f64 v v) #s(literal -4 binary64)) (*.f64 v v) #s(literal 1 binary64))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.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)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.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)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.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)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.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)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.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)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.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)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.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)))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.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)))))
(/ (- (* 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))))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(/ (- (* 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))))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(/ (- (* 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))))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(/ (- (* 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))))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(/ (+ (* 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))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 1/4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 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))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
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(/ (+ (* 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))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
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(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(/ (+ (* 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))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 1/4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 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))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 1/4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 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))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 1/4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 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))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 1/4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 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)))))
(fma.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 1/4 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)))))
(fma.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 1/4 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)))))
(fma.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 1/4 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)))))
(fma.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 1/4 binary64)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 5 binary64))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 v v)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -5 binary64))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

rewrite536.0ms (3.9%)

Memory
15.8MiB live, 403.9MiB allocated
Rules
6 452×lower-fma.f32
6 430×lower-fma.f64
4 544×lower-*.f32
4 530×lower-*.f64
2 162×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064450
0118409
1487379
23370375
08415375
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 1 102
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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))))))))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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)))))))
(PI.f64)
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.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))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.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)))))
(sqrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(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)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(cbrt.f64 (PI.f64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
Outputs
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (pow.f64 (neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (pow.f64 (neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(fma.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (cbrt.f64 (PI.f64)) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (*.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)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (neg.f64 (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (pow.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/18 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 (PI.f64)))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/9 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64))
(pow.f64 (PI.f64) #s(literal 1/3 binary64))
(cbrt.f64 (PI.f64))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(fabs.f64 (cbrt.f64 (PI.f64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 6 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 3/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 12 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 9/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 18 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(sqrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 2 binary64) (log.f64 (PI.f64))))
(exp.f64 (fma.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 6 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 6 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 6 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 9 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (PI.f64))) #s(literal 18 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))

eval539.0ms (3.9%)

Memory
41.0MiB live, 771.3MiB allocated
Compiler

Compiled 94 306 to 6 234 computations (93.4% saved)

prune338.0ms (2.4%)

Memory
-10.5MiB live, 874.6MiB allocated
Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New2 145142 159
Fresh639
Picked145
Done044
Total2 152252 177
Accuracy
99.3%
Counts
2 177 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓95.0%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
95.8%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
1.8%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))))))))
98.6%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))))))
98.6%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))
98.6%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 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)))) (+.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)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
98.8%
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) (PI.f64))) (*.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
1.8%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))))
94.0%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
94.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/18 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)))) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
95.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
✓96.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
96.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (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)))) (+.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)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
96.3%
(-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (sqrt.f64 (PI.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)))))
97.8%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
✓97.8%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.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)))))
97.1%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
98.8%
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* 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)))))
✓98.6%
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
✓99.3%
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓98.8%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
✓98.6%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
✓98.0%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
99.3%
#s(approx (/ 1 (/ (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
Compiler

Compiled 2 769 to 678 computations (75.5% saved)

regimes102.0ms (0.7%)

Memory
-13.2MiB live, 104.7MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* 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 #s(literal -5 binary64) (*.f64 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))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(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)))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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)))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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))))))))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) (PI.f64))) (*.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 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)))) (+.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)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
#s(approx (/ 1 (/ (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (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)))) (+.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)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 15/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.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)))))) (pow.f64 (asin.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(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (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 6 binary64))) (*.f64 (fma.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (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)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))) (pow.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/18 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)))) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (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 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (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)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (-.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
Calls

4 calls:

41.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
37.0ms
v
12.0ms
(*.f64 v v)
10.0ms
(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
99.3%1v
99.3%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))))
99.3%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.3%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes29.0ms (0.2%)

Memory
28.7MiB live, 66.4MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* 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 #s(literal -5 binary64) (*.f64 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))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(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)))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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)))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (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))))))))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) (PI.f64))) (*.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 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)))) (+.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)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
#s(approx (/ 1 (/ (+ (* (pow (cbrt (PI)) 6) 1/4) (* (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (- (* (* (* (PI) (PI)) (PI)) 1/8) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 3)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 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 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (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)))) (+.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)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
Outputs
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Calls

4 calls:

8.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
7.0ms
v
6.0ms
(*.f64 v v)
6.0ms
(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
99.3%1v
99.3%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))))
99.3%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.3%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes12.0ms (0.1%)

Memory
-14.8MiB live, 23.4MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* 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:

5.0ms
(*.f64 v v)
3.0ms
v
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
2.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.8%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.8%1v
98.8%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.8%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes8.0ms (0.1%)

Memory
18.9MiB live, 19.0MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(approx (+ (* 4 (* v v)) 4) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))))
Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
Calls

4 calls:

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

Compiled 35 to 20 computations (42.9% saved)

regimes7.0ms (0%)

Memory
-32.2MiB live, 11.6MiB allocated
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:

3.0ms
(*.f64 v v)
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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.0%1v
98.0%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.0%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.0%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

simplify6.0ms (0%)

Memory
17.0MiB live, 17.0MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
4×+-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041133
149133
252133
354133
455133
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v 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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

soundness448.0ms (3.2%)

Memory
-34.9MiB live, 338.4MiB allocated
Rules
7 768×lower-fma.f64
7 768×lower-fma.f32
4 956×lower-fma.f64
4 956×lower-fma.f32
4 584×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039516
1100510
2269506
3655506
42002504
55117504
08077457
0947
01547
17047
253047
3682847
0801241
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 159 to 65 computations (59.1% saved)

preprocess50.0ms (0.4%)

Memory
17.7MiB live, 95.7MiB allocated
Remove

(abs v)

Compiler

Compiled 456 to 178 computations (61% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...