Falkner and Boettcher, Appendix B, 1

Time bar (total: 13.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze378.0ms (2.8%)

Memory
22.2MiB live, 576.6MiB 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)

sample4.0s (29.7%)

Memory
85.0MiB live, 4 933.9MiB allocated
Samples
1.3s3 686×3valid
789.0ms8 489×0invalid
554.0ms2 068×2valid
529.0ms2 183×1valid
25.0ms319×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-acos: 627.0ms (25.3% of total)
ival-div: 581.0ms (23.4% of total)
adjust: 445.0ms (17.9% of total)
ival-sub: 412.0ms (16.6% of total)
ival-mult: 382.0ms (15.4% of total)
exact: 15.0ms (0.6% of total)
ival-true: 13.0ms (0.5% of total)
ival-assert: 6.0ms (0.2% of total)
Bogosity

explain283.0ms (2.1%)

Memory
-28.8MiB live, 345.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
7246(2.0965606759075252e-218)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))))
01(1.3356647332973286e-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 -
+70
-2463
Precision
0.02766798418972332
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+700
-24603
Precision?
0.02766798418972332
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
75.0ms252×3valid
33.0ms124×2valid
18.0ms120×1valid
1.0ms16×0valid
Compiler

Compiled 118 to 31 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-acos: 28.0ms (29.8% of total)
adjust: 23.0ms (24.5% of total)
ival-sub: 16.0ms (17% of total)
ival-div: 15.0ms (16% of total)
ival-mult: 11.0ms (11.7% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess524.0ms (3.9%)

Memory
-237.0MiB live, 262.5MiB 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 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify252.0ms (1.9%)

Memory
10.9MiB live, 253.2MiB 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))

localize105.0ms (0.8%)

Memory
20.4MiB live, 140.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.006191259768442017
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
accuracy0.0078125
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
accuracy0.12794877930532605
(*.f64 #s(literal 5 binary64) (*.f64 v v))
accuracy0.3826717151247744
(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
70.0ms126×3valid
15.0ms62×2valid
9.0ms60×1valid
1.0ms8×0valid
Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
adjust: 42.0ms (53.2% of total)
ival-acos: 14.0ms (17.7% of total)
ival-div: 8.0ms (10.1% of total)
ival-sub: 8.0ms (10.1% of total)
ival-mult: 7.0ms (8.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-29.7MiB live, 7.9MiB allocated
Counts
5 → 60
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>) () ())
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 (* -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 (* -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>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
6.0ms
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)))
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)))
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)))

simplify240.0ms (1.8%)

Memory
31.4MiB live, 225.3MiB 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
039480
1100474
2269470
3655470
42002468
55117468
08077417
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
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))
(* -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))
(* -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))
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 (hypot.f64 (*.f64 v v) v) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (+.f64 (hypot.f64 (pow.f64 v #s(literal 3 binary64)) v) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #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))
(* -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 #s(literal -4 binary64) (*.f64 v v)) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -5 binary64)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 #s(literal -5 binary64) (fma.f64 #s(literal 4 binary64) (hypot.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 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))
(* -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 #s(literal -4 binary64) (*.f64 v v)) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -5 binary64)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 #s(literal -5 binary64) (fma.f64 #s(literal 4 binary64) (hypot.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 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))

rewrite377.0ms (2.8%)

Memory
-22.4MiB live, 261.1MiB 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
0944
01544
17044
253044
3682844
0801238
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 599
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))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 v #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 5 binary64)) v) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (fma.f64 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 25 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64))) (*.f64 (pow.f64 (fma.f64 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 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 (/.f64 v (fma.f64 v v #s(literal -1 binary64))) (*.f64 v #s(literal 5 binary64))) (*.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 5 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 v (fma.f64 v v #s(literal -1 binary64))) (*.f64 v #s(literal 5 binary64))) (*.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)))))
(-.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) v) (*.f64 v #s(literal 5 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 #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 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (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 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 #s(literal 25 binary64) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)))) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64)))) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 v (fma.f64 v v #s(literal -1 binary64))) (*.f64 v #s(literal 5 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(exp.f64 (*.f64 (-.f64 (log.f64 (fma.f64 v v #s(literal -1 binary64))) (log1p.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 v v) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 v v) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 v v) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 v v)) (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 v v)))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 v v)))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 v #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 v #s(literal 4 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64))))
(+.f64 (*.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -5 binary64) (*.f64 v v))))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64))))))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))))
(*.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))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
(*.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(*.f64 v (*.f64 v #s(literal 5 binary64)))
(*.f64 #s(literal 5 binary64) (neg.f64 (*.f64 (neg.f64 v) v)))
(*.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)))

eval136.0ms (1%)

Memory
19.7MiB live, 214.0MiB allocated
Compiler

Compiled 16 694 to 2 140 computations (87.2% saved)

prune19.0ms (0.1%)

Memory
-24.3MiB live, 58.3MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New6518659
Fresh000
Picked101
Done000
Total6528660
Accuracy
99.4%
Counts
660 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.9%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶2.6%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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))))))
2.6%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
99.4%
(-.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)))))
▶99.4%
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
▶98.1%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
98.8%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
▶97.9%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 298 to 180 computations (39.6% saved)

simplify164.0ms (1.2%)

Memory
11.0MiB live, 174.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(cbrt.f64 (PI.f64))
cost-diff0
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
cost-diff19584
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff0
(*.f64 (PI.f64) (PI.f64))
cost-diff0
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
cost-diff0
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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))))))
cost-diff0
(*.f64 #s(literal 5 binary64) (*.f64 v v))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64)))
cost-diff0
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
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 v v)
cost-diff0
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff0
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Rules
7 506×lower-fma.f32
7 496×lower-fma.f64
3 042×lower-*.f32
3 032×lower-*.f64
1 768×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040339
070329
1118324
2221324
3456324
41101324
52207324
63826324
75868324
87768324
08281323
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(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))
#s(literal -1 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #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
#s(approx (- (* v v) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 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 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))))
(/.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))
#s(literal -1 binary64)
#s(literal 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)))))
#s(literal 1/2 binary64)
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cbrt.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
(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))
#s(literal -1 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
#s(approx (- (* v v) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (neg.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)))))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(-.f64 (*.f64 #s(literal 1/4 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 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 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 2 binary64))
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (fma.f64 #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
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 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)))))
(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)
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v 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)))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cbrt.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))

localize533.0ms (4%)

Memory
19.7MiB live, 527.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy0.429698395057619
(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
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy1.0
(cbrt.f64 (PI.f64))
accuracy0.33984375
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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))))))
accuracy0.429698395057619
(asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy58.540106854645686
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
accuracy58.54824960562278
(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)))))
accuracy0.0078125
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64)))
accuracy0.12794877930532605
(*.f64 #s(literal 5 binary64) (*.f64 v v))
accuracy0.3826717151247744
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
accuracy0.8060076572601566
#s(approx (- (* v v) 1) #s(literal -1 binary64))
accuracy0.3826717151247744
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
accuracy0.9068697972398099
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
accuracy0
(*.f64 v v)
accuracy0.006191259768442017
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
accuracy0.0078125
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy0.3826717151247744
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Samples
252.0ms126×3valid
99.0ms61×1valid
94.0ms62×2valid
2.0ms7×0valid
Compiler

Compiled 364 to 39 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 318.0ms
adjust: 82.0ms (25.8% of total)
ival-acos: 47.0ms (14.8% of total)
ival-div: 43.0ms (13.5% of total)
ival-cbrt: 37.0ms (11.6% of total)
ival-asin: 32.0ms (10.1% of total)
ival-mult: 26.0ms (8.2% of total)
ival-add: 24.0ms (7.5% of total)
ival-pow2: 14.0ms (4.4% of total)
ival-sub: 11.0ms (3.5% of total)
ival-pi: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
-18.0MiB live, 19.7MiB allocated
Counts
23 → 216
Calls
Call 1
Inputs
#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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.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 -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -5 binary64) (*.f64 v v) #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)) #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 (-.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 (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64)))) #<representation:binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #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 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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)))))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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)))))) #<representation:binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64))) (patch (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64))) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #<representation:binary64>) () ())
#s(alt (*.f64 (PI.f64) (PI.f64)) (patch (*.f64 (PI.f64) (PI.f64)) #<representation:binary64>) () ())
#s(alt (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation:binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (patch (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt (cbrt.f64 (PI.f64)) (patch (cbrt.f64 (PI.f64)) #<representation:binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation:binary64>) () ())
#s(alt #s(approx (- (* v v) 1) #s(literal -1 binary64)) (patch #s(approx (- (* v v) 1) #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 (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 (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.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 (/.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>) () ())
Outputs
#s(alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 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 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 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 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (taylor 0 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>) () ())) ())
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#s(alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (taylor -inf v) (#s(alt (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64))) (patch (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v 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))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v 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))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v 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))) (* 1/2 (PI))) (taylor -inf v) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (patch (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt #s(approx (- (* v v) 1) #s(literal -1 binary64)) (patch #s(approx (- (* v v) 1) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt #s(approx (- (* v v) 1) #s(literal -1 binary64)) (patch #s(approx (- (* v v) 1) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt #s(approx (- (* v v) 1) #s(literal -1 binary64)) (patch #s(approx (- (* v v) 1) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt #s(approx (- (* v v) 1) #s(literal -1 binary64)) (patch #s(approx (- (* v v) 1) #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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (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 (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))) (taylor -inf v) (#s(alt (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 (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))) (taylor -inf v) (#s(alt (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 (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))) (taylor -inf v) (#s(alt (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 (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 (/ (- (* 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>) () ())) ())
#s(alt 5 (taylor -inf 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 (+ 5 (* 4 (/ 1 (pow v 2)))) (taylor -inf 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 (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) (taylor -inf 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 (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4))))) (taylor -inf 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>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
3.0ms
v
@0
((acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- 1 (* 5 (* v v))) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (- (* v v) 1) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))
3.0ms
v
@inf
((acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- 1 (* 5 (* v v))) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (- (* v v) 1) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))
2.0ms
v
@-inf
((acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- 1 (* 5 (* v v))) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (- (* v v) 1) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))

simplify219.0ms (1.6%)

Memory
1.0MiB live, 172.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 630×lower-fma.f64
8 630×lower-fma.f32
4 758×lower-*.f64
4 758×lower-*.f32
1 460×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0802822
11842804
24212792
39572788
426192780
561452780
081872449
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
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
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (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)
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (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)))
-1
(- (pow v 2) 1)
(- (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)))
(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 (/ (- (* 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
(+ 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)))
(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)))))
(* -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))
(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))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (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)))
(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))))
(+ (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)))
(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 (/ (- (* 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)))
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)))))
(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)))))
(* -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))
(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))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (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)))
(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))))
(+ (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)))
(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 (/ (- (* 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)))
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)))))
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 (hypot.f64 (*.f64 v v) v) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (+.f64 (hypot.f64 (pow.f64 v #s(literal 3 binary64)) v) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #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 (hypot.f64 (*.f64 v v) v) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (+.f64 (hypot.f64 (pow.f64 v #s(literal 3 binary64)) v) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #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))
(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 (hypot.f64 (*.f64 v v) v) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (+.f64 (hypot.f64 (pow.f64 v #s(literal 3 binary64)) v) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #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))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #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))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #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))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #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))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #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))))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(+ (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)))))
-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))
(+ (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)))
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#s(literal -5 binary64)
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(*.f64 v v)
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#s(literal 5 binary64)
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(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 #s(literal -4 binary64) (*.f64 v v)) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -5 binary64)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))))
(* -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))
(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 #s(literal -4 binary64) (*.f64 v v)) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -5 binary64)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 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))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #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))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #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))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #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))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #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))))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(+ (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)))))
(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))
(+ (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)))))
(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))))
(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))))
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 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -5 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))

rewrite465.0ms (3.5%)

Memory
23.6MiB live, 452.9MiB allocated
Rules
4 816×lower-*.f32
4 812×lower-/.f32
4 806×lower-*.f64
4 804×lower-/.f64
3 844×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040255
070212
1285212
22056209
08521208
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 1 448
Calls
Call 1
Inputs
(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))
(*.f64 v v)
(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))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64)))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(PI.f64)
#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)))))
(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 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (hypot.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 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 1/4 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))) (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (hypot.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)))) #s(literal -1 binary64)))

eval409.0ms (3.1%)

Memory
27.6MiB live, 765.5MiB allocated
Compiler

Compiled 111 065 to 5 990 computations (94.6% saved)

prune57.0ms (0.4%)

Memory
-23.3MiB live, 173.6MiB allocated
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New2 451112 462
Fresh123
Picked235
Done000
Total2 454162 470
Accuracy
99.5%
Counts
2 470 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 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)))))))
▶97.0%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.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)))))))
✓97.9%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
97.3%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
▶96.4%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64))))
3.3%
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (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))))))
5.7%
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.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)))) (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))))))
2.6%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (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))))))
▶2.6%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 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))))))
2.6%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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)))))
2.6%
(/.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)))) (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))))))
▶99.4%
(-.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)))))
98.1%
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
✓99.4%
(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 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓97.9%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 776 to 478 computations (38.4% saved)

simplify151.0ms (1.1%)

Memory
9.2MiB live, 240.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cbrt.f64 (PI.f64))
cost-diff0
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
cost-diff1600
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.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-diff20288
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.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-diff0
(PI.f64)
cost-diff0
(cbrt.f64 (PI.f64))
cost-diff0
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
cost-diff19584
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64))))
cost-diff0
(*.f64 (PI.f64) (PI.f64))
cost-diff0
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
cost-diff128
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 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))))))
cost-diff0
(*.f64 v v)
cost-diff0
(fma.f64 #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(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(literal 4 binary64) (*.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)))))
Rules
8 434×lower-fma.f32
8 416×lower-fma.f64
4 334×lower-*.f32
4 324×lower-*.f64
1 558×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054454
098435
1165426
2288426
3599426
41494426
53072426
65900426
08146424
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.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))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 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 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 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 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))))
(/.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))
#s(literal -1 binary64)
#s(literal 2 binary64)
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 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 (*.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))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.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 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.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 #s(literal 1/2 binary64) (sqrt.f64 (PI.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))
Outputs
(-.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 #s(literal 5 binary64) (*.f64 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 #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))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 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 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (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.f64)))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 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 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))))
(/.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))
#s(literal -1 binary64)
#s(literal 2 binary64)
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 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)))))
(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))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
(asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.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 (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)))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.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 #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 #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 (/.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))

localize488.0ms (3.7%)

Memory
-2.4MiB live, 954.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.0
(cbrt.f64 (PI.f64))
accuracy59.25867059892046
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy0.429698395057619
(asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64)))
accuracy0.9068697972398099
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64))
accuracy1.0
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
accuracy1.0
(cbrt.f64 (PI.f64))
accuracy0.3826717151247744
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy0.429698395057619
(asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy58.540106854645686
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
accuracy58.6354097496231
(-.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)))))
accuracy0
(*.f64 v v)
accuracy0.014872480164287515
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
accuracy0.3826717151247744
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
accuracy0.39594997707911833
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
accuracy0.006191259768442017
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
accuracy0.0078125
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy0.01171875
(-.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)))))
accuracy59.25867059892046
(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
282.0ms126×3valid
82.0ms62×2valid
52.0ms61×1valid
3.0ms7×0valid
Compiler

Compiled 488 to 55 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 349.0ms
ival-acos: 84.0ms (24.1% of total)
adjust: 69.0ms (19.8% of total)
ival-div: 45.0ms (12.9% of total)
ival-asin: 35.0ms (10% of total)
ival-mult: 34.0ms (9.8% of total)
ival-add: 31.0ms (8.9% of total)
ival-sub: 20.0ms (5.7% of total)
ival-pow2: 14.0ms (4% of total)
ival-sqrt: 4.0ms (1.1% of total)
ival-neg: 4.0ms (1.1% of total)
ival-cbrt: 4.0ms (1.1% of total)
ival-pi: 3.0ms (0.9% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
38.4MiB live, 38.4MiB allocated
Counts
25 → 228
Calls
Call 1
Inputs
#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 (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #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(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(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) (patch #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #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 -1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) #<representation:binary64>) () ())
#s(alt (*.f64 v v) (patch (*.f64 v v) #<representation:binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 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)))))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 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)))))) #<representation:binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64))) (patch (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64))) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #<representation:binary64>) () ())
#s(alt (*.f64 (PI.f64) (PI.f64)) (patch (*.f64 (PI.f64) (PI.f64)) #<representation:binary64>) () ())
#s(alt (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64)))) (patch (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (patch (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt (cbrt.f64 (PI.f64)) (patch (cbrt.f64 (PI.f64)) #<representation:binary64>) () ())
#s(alt (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.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 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.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 (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 (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 (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 (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 (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 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64))) (patch (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #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 (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation:binary64>) () ())
Outputs
#s(alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor 0 v) (#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) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor 0 v) (#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) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor 0 v) (#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) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor 0 v) (#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 (acos (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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 (+ 1 (* -4 (pow v 2))) (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 (* (pow v 2) (- (* -4 (pow v 2)) 4))) (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 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4))) (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>) () ())) ())
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#s(alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (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 (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))) (taylor -inf v) (#s(alt (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 (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 (acos (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 5 (taylor -inf v) (#s(alt #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 5 (* 4 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) (taylor -inf v) (#s(alt #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4))))) (taylor -inf v) (#s(alt #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #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 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64))) (patch (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #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 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64))) (patch (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #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 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64))) (patch (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #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 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64))) (patch (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #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
2.0ms
v
@0
((- (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)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) (* v v) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))))) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (+ (* (* v v) 5) -1) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (sqrt (PI)))
2.0ms
v
@inf
((- (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)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) (* v v) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))))) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (+ (* (* v v) 5) -1) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (sqrt (PI)))
2.0ms
v
@-inf
((- (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)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) (* v v) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))))) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (+ (* (* v v) 5) -1) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (asin (/ (+ (* (* v v) 5) -1) (+ (* v v) -1))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (sqrt (PI)))

simplify247.0ms (1.9%)

Memory
-18.8MiB live, 218.3MiB allocated
Algorithm
1×egg-herbie
Rules
13 698×lower-fma.f64
13 698×lower-fma.f32
3 726×lower-*.f64
3 726×lower-*.f32
2 370×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0833298
11923292
24313288
39833280
422543274
550943274
678923274
083092865
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(- (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)))
(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)
(- (* 4 (pow v 2)) 1)
(- (* 4 (pow v 2)) 1)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (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)))
(- (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))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
-1
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (+ 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)))
(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
(+ 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)))
(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)))
(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)))
(- (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)))))
(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 2))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (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)))
(- (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))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(* 5 (pow v 2))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 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)))
(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
(+ 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)))
(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)))
(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)))
(- (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)))))
(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 2))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(+ (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)))
(- (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))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(* 5 (pow v 2))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 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)))
(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
(+ 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)))
(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)))
(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
(- (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 (hypot.f64 (*.f64 v v) v) #s(literal -4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(fma.f64 #s(literal -4 binary64) (+.f64 (hypot.f64 (pow.f64 v #s(literal 3 binary64)) v) (pow.f64 v #s(literal 4 binary64))) #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))))
-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 (hypot.f64 (*.f64 v v) v) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (+.f64 (hypot.f64 (pow.f64 v #s(literal 3 binary64)) v) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #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))
(- (* 4 (pow v 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #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)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (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.f64)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (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.f64)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (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.f64)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (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.f64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 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 (*.f64 v v) #s(literal 5 binary64) #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 (*.f64 v v) #s(literal 5 binary64) #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 (*.f64 v v) #s(literal 5 binary64) #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 (*.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)))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (*.f64 #s(literal 1/2 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)))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (*.f64 #s(literal 1/2 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)))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (*.f64 #s(literal 1/2 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)))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (*.f64 #s(literal 1/2 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)))))
-1
#s(literal -1 binary64)
(- (* 5 (pow v 2)) 1)
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(- (* 5 (pow v 2)) 1)
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(- (* 5 (pow v 2)) 1)
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (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 (/ (+ 1 (* -5 (pow v 2))) (- (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 (/ (+ 1 (* -5 (pow v 2))) (- (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 (/ (+ 1 (* -5 (pow v 2))) (- (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)))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (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 (/ (+ 1 (* -5 (pow v 2))) (- (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 (/ (+ 1 (* -5 (pow v 2))) (- (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 (/ (+ 1 (* -5 (pow v 2))) (- (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))))
(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))))
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 (hypot.f64 (*.f64 v v) v) #s(literal -4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(fma.f64 #s(literal -4 binary64) (+.f64 (hypot.f64 (pow.f64 v #s(literal 3 binary64)) v) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64))
(asin (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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))))
(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))))
(- (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))))
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))))
(fma.f64 #s(literal 4 binary64) (hypot.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v)) #s(literal 5 binary64))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(fma.f64 #s(literal 4 binary64) (hypot.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v)) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -5 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 #s(literal -4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 5 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 (/.f64 #s(literal -4 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (hypot.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v)) #s(literal 5 binary64)))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #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)
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (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.f64)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (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.f64)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (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.f64)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (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.f64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 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 (*.f64 v v) #s(literal 5 binary64) #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 (*.f64 v v) #s(literal 5 binary64) #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 (*.f64 v v) #s(literal 5 binary64) #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 (*.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)))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (*.f64 #s(literal 1/2 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)))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (*.f64 #s(literal 1/2 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)))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (*.f64 #s(literal 1/2 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)))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (*.f64 #s(literal 1/2 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)))))
(* 5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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)))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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))))
(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)
(+ 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))))
(fma.f64 #s(literal 4 binary64) (hypot.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v)) #s(literal 5 binary64))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(fma.f64 #s(literal 4 binary64) (hypot.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v)) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -5 binary64)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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))))
(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))))
(- (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))))
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))))
(fma.f64 #s(literal 4 binary64) (hypot.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v)) #s(literal 5 binary64))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(fma.f64 #s(literal 4 binary64) (hypot.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v)) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -5 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 #s(literal -4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 5 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 (/.f64 #s(literal -4 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (hypot.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v)) #s(literal 5 binary64)))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #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)
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (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.f64)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (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.f64)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (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.f64)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (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.f64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 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 (*.f64 v v) #s(literal 5 binary64) #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 (*.f64 v v) #s(literal 5 binary64) #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 (*.f64 v v) #s(literal 5 binary64) #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 (*.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)))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (*.f64 #s(literal 1/2 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)))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (*.f64 #s(literal 1/2 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)))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (*.f64 #s(literal 1/2 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)))))
(- (* 1/2 (PI)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (*.f64 #s(literal 1/2 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)))))
(* 5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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)))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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))))
(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)
(+ 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))))
(fma.f64 #s(literal 4 binary64) (hypot.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v)) #s(literal 5 binary64))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(fma.f64 #s(literal 4 binary64) (hypot.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v)) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -5 binary64)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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))))
(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))))

rewrite707.0ms (5.3%)

Memory
-14.6MiB live, 509.7MiB allocated
Rules
6 608×lower-fma.f32
6 590×lower-fma.f64
3 970×lower-*.f32
3 960×lower-*.f64
3 686×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054314
098265
1395261
22776253
08682251
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 1 988
Calls
Call 1
Inputs
(-.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)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
(*.f64 v v)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 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 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64))))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))
(cbrt.f64 (PI.f64))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.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 (*.f64 v v) #s(literal 5 binary64) #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)))))
(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))))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64))
(asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #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))))
(sqrt.f64 (PI.f64))
Outputs
(*.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)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 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 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (hypot.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))))) #s(literal -1 binary64)))
(*.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)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 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 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.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)) (hypot.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))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.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 (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)))) (+.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.f64)))
(*.f64 (/.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 (pow.f64 (PI.f64) #s(literal 3 binary64)) (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)))) (+.f64 (hypot.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 (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.f64))))
(*.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (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))) (pow.f64 (+.f64 (hypot.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 (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.f64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.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))) (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)))) (PI.f64)) #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 -1 binary64)) (pow.f64 (pow.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))) #s(literal -1 binary64)) #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 -1 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 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 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 (-.f64 (hypot.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)) (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 binary64)))
(*.f64 (neg.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)))) (pow.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))))) #s(literal -1 binary64)))
(*.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))) (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 -1 binary64)))
(*.f64 #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 (/.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)))) (PI.f64)) (-.f64 (*.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (hypot.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 (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.f64))) (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.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)) (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 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 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))
(pow.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 -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.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 -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 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 4 binary64))) (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 -1 binary64)))) (neg.f64 (hypot.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 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 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 6 binary64))) (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 -1 binary64)))) (neg.f64 (fma.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)) (hypot.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))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.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))) #s(literal 1 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 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.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))))) #s(literal 2 binary64)) (pow.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)) (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)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (PI.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 (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)) (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 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.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))))) #s(literal 3 binary64)) (pow.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)) (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 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.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))))) #s(literal 2 binary64)) (+.f64 (pow.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)) (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 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.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 (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)) (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 (neg.f64 (neg.f64 (neg.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)))))) (neg.f64 (neg.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 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 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 4 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (hypot.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))))) (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 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 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 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.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)) (hypot.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))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 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 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.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 (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 (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))))) (neg.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 (neg.f64 (neg.f64 (-.f64 (*.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))))) (neg.f64 (neg.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)))) (PI.f64)))))
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(-.f64 (/.f64 (*.f64 (PI.f64) (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)))) (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 (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.f64))))
(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (+.f64 (hypot.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 (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.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 3 binary64)) (+.f64 (hypot.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 (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.f64)))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #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 1/2 binary64) (PI.f64)))
(-.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 (PI.f64) (acos.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))))))
(-.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) (*.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 0 binary64) (/.f64 #s(literal 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 (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))))) (PI.f64))
(+.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 (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 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))

eval671.0ms (5%)

Memory
45.2MiB live, 613.6MiB allocated
Compiler

Compiled 132 260 to 5 686 computations (95.7% saved)

prune158.0ms (1.2%)

Memory
1.2MiB live, 198.5MiB allocated
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New2 793112 804
Fresh448
Picked325
Done123
Total2 801192 820
Accuracy
99.5%
Counts
2 820 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.6%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.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)))))))))
96.0%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))))))
97.0%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 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))))))
3.2%
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) (neg.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 (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))))))
5.7%
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.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)))) (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))))))
▶5.6%
(/.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)))) (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 (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))))))
5.5%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64))) (fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 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)))))))
✓2.6%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 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))))))
▶2.6%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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)))))
2.6%
(/.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)))) (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))))))
97.9%
(-.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)))))
97.9%
(-.f64 (PI.f64) (fma.f64 (sqrt.f64 (PI.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)))))))
▶96.4%
(-.f64 (PI.f64) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))))
▶98.8%
(-.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)))))
▶98.1%
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
✓99.4%
(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 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓97.9%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
5.6%
#s(approx (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (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.f64))))
Compiler

Compiled 994 to 611 computations (38.5% saved)

simplify156.0ms (1.2%)

Memory
26.7MiB live, 179.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
cost-diff0
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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))))))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (PI.f64) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))))
cost-diff0
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff0
(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
(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)))) (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))))
cost-diff0
(/.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)))) (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 (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
(*.f64 (PI.f64) (PI.f64))
cost-diff0
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
cost-diff0
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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)))))
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)) #s(approx (- (* v v) 1) #s(literal -1 binary64)))
cost-diff0
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
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)))))
Rules
9 314×lower-fma.f32
9 300×lower-fma.f64
2 518×lower-*.f32
2 510×lower-*.f64
2 012×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050577
091571
1146571
2212571
3320571
4542571
5897571
61360571
72069571
84214571
95993571
107959571
08039571
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.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)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #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)
#s(approx (- (* v v) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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)))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 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 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))))
(/.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))
#s(literal -1 binary64)
#s(literal 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))))
(/.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 (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)))) (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 (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 (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) (*.f64 (PI.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 (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))
(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)
#s(literal 1 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 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 (*.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 (PI.f64) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))))
(PI.f64)
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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))))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(pow.f64 (PI.f64) #s(literal 3/2 binary64))
#s(literal 3/2 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)))))
(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))
#s(literal -1 binary64)
Outputs
(-.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)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #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))))
(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #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)))
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))
#s(literal -4 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64)))
(/.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 (*.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)
#s(approx (- (* v v) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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))) (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))))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 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 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))))
(/.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))
#s(literal -1 binary64)
#s(literal 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.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 (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)))) (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 (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 (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)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.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))))))
(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)))) (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))))
(fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.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))))
(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
#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)
#s(literal 1 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 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)))))
(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 (PI.f64) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))))
(-.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 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (neg.f64 (PI.f64))))
(PI.f64)
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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))))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(pow.f64 (PI.f64) #s(literal 3/2 binary64))
#s(literal 3/2 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)))))
(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))
#s(literal -1 binary64)

localize734.0ms (5.5%)

Memory
-14.9MiB live, 993.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(-.f64 (PI.f64) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))))
accuracy0.3826717151247744
(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
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
accuracy58.78274921778922
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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))))))
accuracy0.429698395057619
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy0.429698395057619
(asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy58.59157707706007
(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)))) (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))))
accuracy58.6354097496231
(-.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)))))
accuracy0.33984375
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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)))))
accuracy0.429698395057619
(asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy58.540106854645686
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
accuracy59.25867059892046
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy0.006191259768442017
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
accuracy0.0078125
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64)))
accuracy0.3826717151247744
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
accuracy0.8060076572601566
#s(approx (- (* v v) 1) #s(literal -1 binary64))
accuracy0.01171875
(-.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)))))
accuracy0.014872480164287515
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))
accuracy0.39594997707911833
#s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy59.25867059892046
(acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
Samples
401.0ms126×3valid
103.0ms61×1valid
99.0ms62×2valid
12.0ms7×0valid
Compiler

Compiled 622 to 54 computations (91.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 530.0ms
ival-acos: 111.0ms (20.9% of total)
ival-mult: 92.0ms (17.4% of total)
adjust: 87.0ms (16.4% of total)
ival-div: 78.0ms (14.7% of total)
ival-asin: 37.0ms (7% of total)
ival-pow: 29.0ms (5.5% of total)
ival-add: 27.0ms (5.1% of total)
ival-pi: 26.0ms (4.9% of total)
ival-sub: 21.0ms (4% of total)
ival-pow2: 13.0ms (2.5% of total)
ival-cbrt: 5.0ms (0.9% of total)
ival-neg: 3.0ms (0.6% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
-10.9MiB live, 64.3MiB allocated
Counts
25 → 252
Calls
Call 1
Inputs
#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 (PI.f64) (patch (PI.f64) #<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 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64)))) #<representation:binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #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 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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))))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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))))) #<representation:binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64))) (patch (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64))) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #<representation:binary64>) () ())
#s(alt (*.f64 (PI.f64) (PI.f64)) (patch (*.f64 (PI.f64) (PI.f64)) #<representation:binary64>) () ())
#s(alt (/.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)))) (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 (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 (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)))) (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 (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 (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)))) (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)))) (patch (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)))) (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)))) #<representation:binary64>) () ())
#s(alt (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 (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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (patch (/.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) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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))))))) (patch (-.f64 (PI.f64) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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))))))) #<representation:binary64>) () ())
#s(alt (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))) (patch (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))) #<representation:binary64>) () ())
#s(alt (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (patch (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (- (* v v) 1) #s(literal -1 binary64)) (patch #s(approx (- (* v v) 1) #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 (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 (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) (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 (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>) () ())
Outputs
#s(alt (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor 0 v) (#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 (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor 0 v) (#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 (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor 0 v) (#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 (- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) (taylor 0 v) (#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 (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor 0 v) (#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 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor 0 v) (#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 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor 0 v) (#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 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (taylor 0 v) (#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 1 (taylor 0 v) (#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 (+ 1 (* -4 (pow v 2))) (taylor 0 v) (#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 (+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4))) (taylor 0 v) (#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 (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4))) (taylor 0 v) (#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 (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)) #s(approx (- (* v v) 1) #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #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)) #s(approx (- (* v v) 1) #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #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)) #s(approx (- (* v v) 1) #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #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)) #s(approx (- (* v v) 1) #s(literal -1 binary64)))) (patch (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #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)) #s(approx (- (* v v) 1) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #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)) #s(approx (- (* v v) 1) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #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)) #s(approx (- (* v v) 1) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
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#s(alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor -inf v) (#s(alt (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))) (patch (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))) #<representation:binary64>) () ())) ())
#s(alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor -inf v) (#s(alt (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))) (patch (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))) #<representation:binary64>) () ())) ())
#s(alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor -inf v) (#s(alt (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))) (patch (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))) #<representation:binary64>) () ())) ())
#s(alt (* -4 (pow v 2)) (taylor -inf v) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 4)) (taylor -inf v) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 4)) (taylor -inf v) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 4)) (taylor -inf v) (#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt #s(approx (- (* v v) 1) #s(literal -1 binary64)) (patch #s(approx (- (* v v) 1) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt #s(approx (- (* v v) 1) #s(literal -1 binary64)) (patch #s(approx (- (* v v) 1) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt #s(approx (- (* v v) 1) #s(literal -1 binary64)) (patch #s(approx (- (* v v) 1) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow v 2) (- 1 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt #s(approx (- (* v v) 1) #s(literal -1 binary64)) (patch #s(approx (- (* v v) 1) #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>) () ())) ())
#s(alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (taylor -inf v) (#s(alt (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 (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))) (taylor -inf v) (#s(alt (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 (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))) (taylor -inf v) (#s(alt (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 (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))) (taylor -inf v) (#s(alt (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 (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 (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor -inf v) (#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) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor -inf v) (#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) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor -inf v) (#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) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (taylor -inf v) (#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 (acos (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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
9.0ms
v
@0
((- (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)) (acos (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (/ (+ (* (* v v) -5) 1) (- (* v v) 1)) (+ (* (* v v) -5) 1) (* v v) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (/ (+ (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (* 1/4 (* (PI) (PI)))) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (+ (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (* 1/4 (* (PI) (PI)))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (- (PI) (+ (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))) (neg (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (+ (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))) (neg (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) (cbrt (pow (PI) 3/2)) (+ (* -4 (* v v)) 1) (- (* v v) 1) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))
3.0ms
v
@inf
((- (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)) (acos (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (/ (+ (* (* v v) -5) 1) (- (* v v) 1)) (+ (* (* v v) -5) 1) (* v v) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (/ (+ (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (* 1/4 (* (PI) (PI)))) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (+ (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (* 1/4 (* (PI) (PI)))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (- (PI) (+ (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))) (neg (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (+ (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))) (neg (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) (cbrt (pow (PI) 3/2)) (+ (* -4 (* v v)) 1) (- (* v v) 1) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))
2.0ms
v
@-inf
((- (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)) (acos (/ (+ (* (* v v) -5) 1) (- (* v v) 1))) (/ (+ (* (* v v) -5) 1) (- (* v v) 1)) (+ (* (* v v) -5) 1) (* v v) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (/ (+ (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (* 1/4 (* (PI) (PI)))) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (+ (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (* 1/4 (* (PI) (PI)))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (- (PI) (+ (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))) (neg (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))))) (+ (* (cbrt (pow (PI) 3/2)) (cbrt (pow (PI) 3/2))) (neg (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) (cbrt (pow (PI) 3/2)) (+ (* -4 (* v v)) 1) (- (* v v) 1) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))

simplify228.0ms (1.7%)

Memory
5.7MiB live, 245.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 444×lower-fma.f64
9 444×lower-fma.f32
4 672×lower-*.f64
4 672×lower-*.f32
1 490×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0874106
11964100
24454096
39944088
426924082
563154082
081873578
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(- (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)))
(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)
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
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(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(/.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)))) (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 (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))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(/.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)))) (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 (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))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(/.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)))) (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 (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))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(/.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)))) (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 (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))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (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)))) (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 (/ (- (* 5 (pow v 2)) 1) (- (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)))) (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 (/ (- (* 5 (pow v 2)) 1) (- (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)))) (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 (/ (- (* 5 (pow v 2)) 1) (- (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)))) (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)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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))))
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 (hypot.f64 (*.f64 v v) v) #s(literal -4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(fma.f64 #s(literal -4 binary64) (+.f64 (hypot.f64 (pow.f64 v #s(literal 3 binary64)) v) (pow.f64 v #s(literal 4 binary64))) #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))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (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 (/ (+ 1 (* -5 (pow v 2))) (- (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 (/ (+ 1 (* -5 (pow v 2))) (- (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 (/ (+ 1 (* -5 (pow v 2))) (- (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
#s(literal 1 binary64)
(+ 1 (* -4 (pow v 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -4 (pow v 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -4 (pow v 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #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 (/ (- (* 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))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (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 (/ (+ 1 (* -5 (pow v 2))) (- (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 (/ (+ 1 (* -5 (pow v 2))) (- (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 (/ (+ 1 (* -5 (pow v 2))) (- (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))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (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 (/ (+ 1 (* -5 (pow v 2))) (- (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 (/ (+ 1 (* -5 (pow v 2))) (- (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 (/ (+ 1 (* -5 (pow v 2))) (- (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 (/ (+ 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))))
(- (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)))
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(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
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(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
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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 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -5 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))
(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 #s(literal -4 binary64) (*.f64 v v)) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -5 binary64)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))))
(* -5 (pow v 2))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
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-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 #s(literal -4 binary64) (*.f64 v v)) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -5 binary64)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))))
(* -5 (pow v 2))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #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)
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.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)))) (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 (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))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.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)))) (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 (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))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.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)))) (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 (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))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.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)))) (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 (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))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (asin (/ (- (* 5 (pow v 2)) 1) (- (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)))) (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 (/ (- (* 5 (pow v 2)) 1) (- (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)))) (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 (/ (- (* 5 (pow v 2)) 1) (- (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)))) (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 (/ (- (* 5 (pow v 2)) 1) (- (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)))) (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)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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 (/ (- (* 5 (pow v 2)) 1) (- (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))))
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 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -5 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))
(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))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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)))))
(* -4 (pow v 2))
(*.f64 #s(literal -4 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #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 (/ (- (* 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 1 (* 5 (pow v 2))) (- (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 (/ (- 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))))

rewrite331.0ms (2.5%)

Memory
-14.2MiB live, 526.6MiB allocated
Rules
7 710×lower-fma.f32
7 696×lower-fma.f64
4 652×lower-*.f32
4 644×lower-*.f64
4 316×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050372
091365
1384348
22606348
09662348
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 910
Calls
Call 1
Inputs
(-.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)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(*.f64 v v)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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)))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(/.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)))) (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 (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 (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) (*.f64 (PI.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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(-.f64 (PI.f64) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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))))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(approx (- (* v v) 1) #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 (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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Outputs
(*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))) (pow.f64 (+.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))) (pow.f64 (+.f64 (hypot.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))) (*.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (hypot.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))) (*.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64))) (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (hypot.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))) (*.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64))) (*.f64 (+.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64)) (+.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (+.f64 (hypot.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))) (*.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64)))) (*.f64 (+.f64 (hypot.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))) (*.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64))) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)))) (*.f64 (+.f64 (hypot.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))) (*.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64))) (+.f64 (hypot.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))) (*.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (PI.f64) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (hypot.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))) (*.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))) (-.f64 (PI.f64) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (hypot.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))) (*.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (hypot.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))) (*.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64))) (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (hypot.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))) (*.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) (PI.f64))) (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))))
(fma.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 9/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))))
(fma.f64 (exp.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (exp.f64 (log.f64 (cbrt.f64 (PI.f64)))) (neg.f64 (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 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)) (*.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)))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (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))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 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)) (*.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)))))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.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)))))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (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 #s(literal 2 binary64) (fma.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)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 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)) (*.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)))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (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))))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 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)) (*.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)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 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 2 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))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #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 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.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 (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 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (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))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (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))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (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))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (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))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 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)))))) (/.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)) (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)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.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 (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)))))))) (/.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 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.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 (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)))))))))
(-.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)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (neg.f64 (fma.f64 v v #s(literal -1 binary64))))))
(+.f64 (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 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)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (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 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

eval451.0ms (3.4%)

Memory
0.5MiB live, 789.4MiB allocated
Compiler

Compiled 81 075 to 5 093 computations (93.7% saved)

prune67.0ms (0.5%)

Memory
14.5MiB live, 209.8MiB allocated
Pruning

28 alts after pruning (20 fresh and 8 done)

PrunedKeptTotal
New1 913131 926
Fresh3710
Picked145
Done044
Total1 917281 945
Accuracy
99.5%
Counts
1 945 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.2%
(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 (-.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)))))))
94.6%
(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 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))))))
97.0%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 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))))))
3.2%
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) (neg.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 (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))))))
5.6%
(/.f64 (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))))) (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)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
5.7%
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.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)))) (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))))))
3.2%
(/.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)))) (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)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
4.7%
(/.f64 (fma.f64 (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.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 (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))))))
✓2.6%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 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))))))
✓2.6%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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)))))
2.6%
(/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 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 6 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)))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.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))))) #s(literal 2 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 4 binary64))))))
2.6%
(/.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)))) (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))))))
5.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.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))))) (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.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))))))
95.8%
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 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)))))
99.4%
(-.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)))) (PI.f64)) (PI.f64))
94.4%
(-.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))) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))))
96.0%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))))
97.9%
(-.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)))))
97.3%
(-.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)))))
97.9%
(-.f64 (PI.f64) (fma.f64 (sqrt.f64 (PI.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)))))))
✓96.4%
(-.f64 (PI.f64) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))))
✓98.8%
(-.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)))))
2.6%
(*.f64 (pow.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 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 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 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.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))))) #s(literal 2 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 4 binary64)))) #s(literal -1 binary64)))
✓98.1%
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
✓99.4%
(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 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓97.9%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
5.6%
#s(approx (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (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.f64))))
Compiler

Compiled 2 173 to 682 computations (68.6% saved)

regimes50.0ms (0.4%)

Memory
-17.5MiB live, 101.1MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #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)) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #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 (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))))
(-.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)))) (PI.f64)) (PI.f64))
(-.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)))))
(-.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) (fma.f64 (sqrt.f64 (PI.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 (PI.f64) (PI.f64)) #s(literal 1/4 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 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)))))
#s(approx (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (- (PI) (acos (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (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 (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.f64))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 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 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 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 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (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 (asin.f64 #s(approx (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.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 (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 (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))))) (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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (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))))) (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)))) (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 (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) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.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)))) (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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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))))) (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.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))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 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 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 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)))) (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)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.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 (PI.f64) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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 (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 #s(approx (/ (+ (* (* v v) 5) -1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #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 (-.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 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) (neg.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 (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 2 binary64))) (fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 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 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))))))
(-.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))) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 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)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 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 6 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)))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.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))))) #s(literal 2 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 4 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.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 (pow.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 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 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 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.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))))) #s(literal 2 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 4 binary64)))) #s(literal -1 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:

15.0ms
v
12.0ms
(*.f64 v v)
11.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
9.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.4%1v
99.4%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))))
99.4%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.4%1(*.f64 v v)
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes8.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB 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))))
(-.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 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(approx (- (* v v) 1) #s(literal -1 binary64))))
Outputs
(-.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)))))
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
98.8%1v
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%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 31 to 20 computations (35.5% saved)

regimes6.0ms (0%)

Memory
-23.3MiB live, 15.3MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
Calls

4 calls:

2.0ms
v
1.0ms
(*.f64 v v)
1.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.8%1v
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%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 31 to 20 computations (35.5% saved)

regimes5.0ms (0%)

Memory
13.5MiB live, 13.5MiB 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:

1.0ms
v
1.0ms
(*.f64 v v)
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
1.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
97.9%1v
97.9%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
97.9%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
97.9%1(*.f64 v v)
Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify43.0ms (0.3%)

Memory
15.8MiB live, 54.6MiB allocated
Algorithm
1×egg-herbie
Rules
4×+-commutative-binary64-+.f64
4×sub-neg-binary64-neg.f64-+.f64--.f64
2×1-exp-binary32-exp.f32
2×*-commutative-binary64-*.f64
2×1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03172
13672
23972
34172
44272
Stop Event
1×saturated
Calls
Call 1
Inputs
(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 #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 (/ (- 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
(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 #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 (/ (- 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)))

soundness597.0ms (4.5%)

Memory
-19.6MiB live, 386.8MiB allocated
Rules
13 698×lower-fma.f64
13 698×lower-fma.f32
7 768×lower-fma.f64
7 768×lower-fma.f32
4 956×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0833298
11923292
24313288
39833280
422543274
550943274
678923274
083092865
0944
01544
17044
253044
3682844
0801238
039480
1100474
2269470
3655470
42002468
55117468
08077417
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 104 to 64 computations (38.5% saved)

preprocess35.0ms (0.3%)

Memory
0.2MiB live, 114.1MiB allocated
Remove

(abs v)

Compiler

Compiled 118 to 78 computations (33.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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