Falkner and Boettcher, Appendix B, 1

Time bar (total: 18.6s)

analyze345.0ms (1.9%)

Memory
0.5MiB live, 596.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
0%0%100%0%0%0%0%4
0%0%100%0%0%0%0%5
0%0%100%0%0%0%0%6
0%0%100%0%0%0%0%7
0%0%100%0%0%0%0%8
0%0%100%0%0%0%0%9
0%0%100%0%0%0%0%10
0%0%100%0%0%0%0%11
0%0%100%0%0%0%0%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample3.4s (18.4%)

Memory
62.1MiB live, 5 365.9MiB allocated
Samples
1.3s3 780×3valid
626.0ms8 321×0invalid
404.0ms2 271×1valid
394.0ms1 995×2valid
14.0ms210×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-acos: 556.0ms (26.2% of total)
ival-mult: 478.0ms (22.6% of total)
ival-sub: 387.0ms (18.3% of total)
ival-div: 337.0ms (15.9% of total)
adjust: 314.0ms (14.8% of total)
exact: 28.0ms (1.3% of total)
ival-true: 13.0ms (0.6% of total)
ival-assert: 7.0ms (0.3% of total)
Bogosity

preprocess592.0ms (3.2%)

Memory
11.7MiB live, 527.2MiB allocated
Algorithm
egg-herbie
Rules
8 668×accelerator-lowering-fma.f32
8 668×accelerator-lowering-fma.f64
2 288×*-lowering-*.f32
2 288×*-lowering-*.f64
2 162×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01743
15843
217143
362043
4245843
5447743
6533043
7628143
8728443
9789443
0914
12914
27414
320014
457514
5123214
6248814
7385814
8567614
9733014
10788514
0809912
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
Outputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
Call 2
Inputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1)))
(neg (acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1))))
Outputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))
(acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1)))
(acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))
(neg (acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1))))
(neg (acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))))
Symmetry

(abs v)

explain283.0ms (1.5%)

Memory
-38.6MiB live, 432.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
7246(6.701169240300647e-122)0-(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
00-0-(*.f64 #s(literal 5 binary64) (*.f64 v v))
00-0-#s(literal 1 binary64)
00-0-(*.f64 v v)
00-0-#s(literal 5 binary64)
00-0-(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
00-0-v
00-0-(-.f64 (*.f64 v v) #s(literal 1 binary64))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
acos.f64(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))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
77.0ms256×3valid
50.0ms132×1valid
35.0ms112×2valid
1.0ms12×0valid
Compiler

Compiled 134 to 40 computations (70.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-acos: 28.0ms (28% of total)
ival-mult: 23.0ms (23% of total)
adjust: 17.0ms (17% of total)
ival-div: 15.0ms (15% of total)
ival-sub: 15.0ms (15% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Compiler

Compiled 15 to 9 computations (40% saved)

simplify386.0ms (2.1%)

Memory
-1.5MiB live, 444.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 5 binary64) (*.f64 v v))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
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))))
Rules
8 668×accelerator-lowering-fma.f32
8 668×accelerator-lowering-fma.f64
2 288×*-lowering-*.f32
2 288×*-lowering-*.f64
2 162×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0950
12950
27450
320050
457550
5123250
6248850
7385850
8567650
9733050
10788550
0809944
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(- (* v v) 1)
Outputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(- 1 (* 5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
1
#s(literal 1 binary64)
(* 5 (* v v))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
(- (* v v) 1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))

localize107.0ms (0.6%)

Memory
-20.9MiB live, 136.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 v v)
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
accuracy99.8%
(*.f64 #s(literal 5 binary64) (*.f64 v v))
accuracy99.2%
(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
55.0ms128×3valid
26.0ms56×2valid
10.0ms66×1valid
0.0ms0valid
Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-acos: 13.0ms (30.5% of total)
ival-sub: 9.0ms (21.1% of total)
adjust: 7.0ms (16.4% of total)
ival-div: 6.0ms (14.1% of total)
ival-mult: 6.0ms (14.1% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))>
#<alt (/ (- 1 (* 5 (* v v))) (- (* v v) 1))>
#<alt (- 1 (* 5 (* v v)))>
#<alt (* 5 (* v v))>
#<alt (* v v)>
Outputs
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
v
@inf
(* 5 (* v v))
0.0ms
v
@inf
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.0ms
v
@inf
(- 1 (* 5 (* v v)))
0.0ms
v
@inf
(* v v)
0.0ms
v
@0
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))

rewrite397.0ms (2.1%)

Memory
-8.5MiB live, 662.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 946×accelerator-lowering-fma.f32
4 946×accelerator-lowering-fma.f64
4 582×*-lowering-*.f32
4 582×*-lowering-*.f64
3 506×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0942
16442
252442
3681642
0816437
Stop Event
iter limit
node limit
Counts
5 → 469
Calls
Call 1
Inputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
(- 1 (* 5 (* v v)))
(* 5 (* v v))
(* v v)
Outputs
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(-.f64 (PI.f64) (acos.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 #s(literal -1 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))))
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(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -125 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (-.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -125 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 125 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(neg.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 #s(literal 5 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(*.f64 v (*.f64 #s(literal 5 binary64) v))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(*.f64 #s(literal -5 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(*.f64 (*.f64 #s(literal 5 binary64) v) v)
(*.f64 (*.f64 #s(literal 5 binary64) v) (neg.f64 (-.f64 #s(literal 0 binary64) v)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal -5 binary64))
(*.f64 (*.f64 v #s(literal -5 binary64)) (-.f64 #s(literal 0 binary64) v))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v))) #s(literal 5 binary64))
(*.f64 (neg.f64 (*.f64 v #s(literal -5 binary64))) v)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v v)
(*.f64 (*.f64 v v) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))

simplify455.0ms (2.4%)

Memory
14.4MiB live, 683.4MiB allocated
Algorithm
egg-herbie
Rules
16 972×accelerator-lowering-fma.f32
16 972×accelerator-lowering-fma.f64
3 770×*-lowering-*.f32
3 770×*-lowering-*.f64
2 138×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037464
195458
2251454
3622454
41536452
54220452
67460452
08256414
Stop Event
iter limit
node limit
Counts
60 → 60
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)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(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
(* -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
(* -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)))))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -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))
(* -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))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (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)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
Outputs
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 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 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v v)))))
-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 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v v)))))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(+ 1 (* -5 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(+ 1 (* -5 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(* -5 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(* -5 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(-.f64 #s(literal 1 binary64) (*.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 #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 #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 #s(literal 5 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)

eval72.0ms (0.4%)

Memory
42.3MiB live, 193.6MiB allocated
Compiler

Compiled 18 426 to 1 618 computations (91.2% saved)

prune76.0ms (0.4%)

Memory
-27.9MiB live, 186.9MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New5418549
Fresh000
Picked011
Done000
Total5419550
Accuracy
99.3%
Counts
550 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
2.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
2.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))))
99.2%
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
99.2%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.2%
(acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
98.6%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
98.1%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 519 to 241 computations (53.6% saved)

simplify334.0ms (1.8%)

Memory
-2.6MiB live, 307.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
cost-diff0
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
cost-diff0
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff0
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
cost-diff0
(/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))))
cost-diff0
(+.f64 (*.f64 v v) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
cost-diff0
(acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
cost-diff384
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
cost-diff0
(acos.f64 #s(literal -1 binary64))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff0
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
Rules
6 220×accelerator-lowering-fma.f32
6 220×accelerator-lowering-fma.f64
2 946×*-lowering-*.f32
2 946×*-lowering-*.f64
1 608×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041626
190626
2199624
3487624
41301600
52589600
64833600
76319600
08102536
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (PI) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))
(PI)
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(- 1 (* v v))
(acos -1)
-1
(acos (- (/ 1 (+ (* v v) -1)) (/ (* 5 (* v v)) (+ (* v v) -1))))
(- (/ 1 (+ (* v v) -1)) (/ (* 5 (* v v)) (+ (* v v) -1)))
(/ 1 (+ (* v v) -1))
1
(+ (* v v) -1)
(* v v)
v
-1
(/ (* 5 (* v v)) (+ (* v v) -1))
(* 5 (* v v))
5
(/ 1 (/ (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))))
1
(/ (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
(PI)
2
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
4
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
3
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/ (* (PI) (PI)) 4)
4
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
2
Outputs
(- (PI) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(PI)
(PI.f64)
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(acos -1)
(acos.f64 #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(acos (- (/ 1 (+ (* v v) -1)) (/ (* 5 (* v v)) (+ (* v v) -1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(- (/ 1 (+ (* v v) -1)) (/ (* 5 (* v v)) (+ (* v v) -1)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(/ 1 (+ (* v v) -1))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
(* v v)
(*.f64 v v)
v
-1
#s(literal -1 binary64)
(/ (* 5 (* v v)) (+ (* v v) -1))
(*.f64 v (*.f64 v (/.f64 #s(literal -5 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(* 5 (* v v))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
5
#s(literal 5 binary64)
(/ 1 (/ (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
1
#s(literal 1 binary64)
(/ (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)))
(/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(* (* v v) -5)
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
4
#s(literal 4 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
8
#s(literal 8 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
3
#s(literal 3 binary64)
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize738.0ms (4%)

Memory
45.6MiB live, 667.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy98.5%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
accuracy98.5%
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
accuracy8.2%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
accuracy99.4%
(/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))))
accuracy99.2%
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
accuracy8.2%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
accuracy8.2%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
accuracy100.0%
(/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
accuracy99.8%
(*.f64 #s(literal 5 binary64) (*.f64 v v))
accuracy99.2%
(acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
accuracy100.0%
(acos.f64 #s(literal -1 binary64))
accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy100.0%
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -5 binary64))
accuracy6.9%
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Samples
224.0ms128×3valid
100.0ms56×2valid
60.0ms69×1valid
1.0ms0valid
Compiler

Compiled 624 to 43 computations (93.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 313.0ms
ival-div: 72.0ms (23% of total)
ival-acos: 51.0ms (16.3% of total)
ival-mult: 47.0ms (15% of total)
ival-asin: 37.0ms (11.8% of total)
adjust: 28.0ms (9% of total)
ival-pow2: 23.0ms (7.4% of total)
ival-sub: 18.0ms (5.8% of total)
ival-pow: 16.0ms (5.1% of total)
ival-add: 15.0ms (4.8% of total)
ival-pi: 3.0ms (1% of total)
exact: 2.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series25.0ms (0.1%)

Memory
-22.1MiB live, 51.9MiB allocated
Counts
23 → 216
Calls
Call 1
Inputs
#<alt (- (PI) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))>
#<alt (PI)>
#<alt (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))>
#<alt (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))>
#<alt (acos -1)>
#<alt (- (/ 1 (+ (* v v) -1)) (/ (* 5 (* v v)) (+ (* v v) -1)))>
#<alt (acos (- (/ 1 (+ (* v v) -1)) (/ (* 5 (* v v)) (+ (* v v) -1))))>
#<alt (/ 1 (+ (* v v) -1))>
#<alt (+ (* v v) -1)>
#<alt (/ 1 (/ (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))))>
#<alt (/ (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)))>
#<alt (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))>
#<alt (/ (PI) 2)>
#<alt (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))>
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))>
#<alt (/ (* (PI) (* (PI) (PI))) 8)>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* (* v v) -5)>
#<alt (* 5 (* v v))>
#<alt (/ (* 5 (* v v)) (+ (* v v) -1))>
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))>
#<alt (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))>
#<alt (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)>
Outputs
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt 1>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))>
#<alt 5>
#<alt (+ 5 (* 4 (/ 1 (pow v 2))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))>
#<alt 5>
#<alt (+ 5 (* 4 (/ 1 (pow v 2))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))>
#<alt (acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))>
#<alt (acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))>
#<alt (acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))>
#<alt (acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))>
#<alt (acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))>
#<alt (acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))>
#<alt (acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))>
#<alt (acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))>
#<alt (acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))>
#<alt (acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))>
#<alt (acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))>
#<alt -1>
#<alt (- (* -1 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (- (* -1 (pow v 2)) 1)) 1)>
#<alt (- (* (pow v 2) (- (* (pow v 2) (- (* -1 (pow v 2)) 1)) 1)) 1)>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))) (pow v 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow v 2)) (+ (/ 1 (pow v 4)) (/ 1 (pow v 6))))) (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))) (pow v 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow v 2)) (+ (/ 1 (pow v 4)) (/ 1 (pow v 6))))) (pow v 2))>
#<alt -1>
#<alt (- (pow v 2) 1)>
#<alt (- (pow v 2) 1)>
#<alt (- (pow v 2) 1)>
#<alt (pow v 2)>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (+ (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)))>
#<alt (/ (+ (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)))>
#<alt (/ (+ (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)))>
#<alt (/ (+ (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)))>
#<alt (/ (+ (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)))>
#<alt (/ (+ (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)))>
#<alt (/ (+ (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)))>
#<alt (/ (+ (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)))>
#<alt (/ (+ (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)))>
#<alt (/ (+ (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)))>
#<alt (/ (+ (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)))>
#<alt (/ (+ (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)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (* -5 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* -5 (pow v 2)) 5)) 5))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -5 (pow v 2)) 5)) 5)) 5))>
#<alt 5>
#<alt (+ 5 (* 5 (/ 1 (pow v 2))))>
#<alt (+ 5 (+ (* 5 (/ 1 (pow v 2))) (/ 5 (pow v 4))))>
#<alt (+ 5 (+ (* 5 (/ 1 (pow v 2))) (+ (* 5 (/ 1 (pow v 6))) (/ 5 (pow v 4)))))>
#<alt 5>
#<alt (+ 5 (* 5 (/ 1 (pow v 2))))>
#<alt (+ 5 (+ (* 5 (/ 1 (pow v 2))) (/ 5 (pow v 4))))>
#<alt (+ 5 (+ (* 5 (/ 1 (pow v 2))) (+ (* 5 (/ 1 (pow v 6))) (/ 5 (pow v 4)))))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
Calls

54 calls:

TimeVariablePointExpression
5.0ms
v
@inf
(- (PI) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))
4.0ms
v
@0
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
2.0ms
v
@inf
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
2.0ms
v
@0
(/ 1 (/ (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))))
1.0ms
v
@inf
(/ 1 (/ (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))))

rewrite655.0ms (3.5%)

Memory
-0.5MiB live, 1 162.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 072×/-lowering-/.f32
4 072×/-lowering-/.f64
3 744×accelerator-lowering-fma.f32
3 744×accelerator-lowering-fma.f64
3 332×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041280
1299255
22857247
08473221
Stop Event
iter limit
node limit
Counts
23 → 1 475
Calls
Call 1
Inputs
(- (PI) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))
(PI)
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))
(acos -1)
(- (/ 1 (+ (* v v) -1)) (/ (* 5 (* v v)) (+ (* v v) -1)))
(acos (- (/ 1 (+ (* v v) -1)) (/ (* 5 (* v v)) (+ (* v v) -1))))
(/ 1 (+ (* v v) -1))
(+ (* v v) -1)
(/ 1 (/ (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))))
(/ (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(* (* v v) -5)
(* 5 (* v v))
(/ (* 5 (* v v)) (+ (* v v) -1))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
Outputs
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(+.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(+.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (PI.f64))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) #s(literal 8 binary64))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) #s(literal 8 binary64))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (-.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (/.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
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simplify473.0ms (2.5%)

Memory
-21.1MiB live, 749.9MiB allocated
Algorithm
egg-herbie
Rules
13 050×accelerator-lowering-fma.f32
13 050×accelerator-lowering-fma.f64
4 402×*-lowering-*.f32
4 402×*-lowering-*.f64
2 466×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01314063
13194057
27184047
316744028
444514020
083153576
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
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)))
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)))))
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)))))
-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
(* -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
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))
-1
(- (* -1 (pow v 2)) 1)
(- (* (pow v 2) (- (* -1 (pow v 2)) 1)) 1)
(- (* (pow v 2) (- (* (pow v 2) (- (* -1 (pow v 2)) 1)) 1)) 1)
(/ 1 (pow v 2))
(/ (+ 1 (/ 1 (pow v 2))) (pow v 2))
(/ (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))) (pow v 2))
(/ (+ 1 (+ (/ 1 (pow v 2)) (+ (/ 1 (pow v 4)) (/ 1 (pow v 6))))) (pow v 2))
(/ 1 (pow v 2))
(/ (+ 1 (/ 1 (pow v 2))) (pow v 2))
(/ (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))) (pow v 2))
(/ (+ 1 (+ (/ 1 (pow v 2)) (+ (/ 1 (pow v 4)) (/ 1 (pow v 6))))) (pow v 2))
-1
(- (pow v 2) 1)
(- (pow v 2) 1)
(- (pow v 2) 1)
(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))))
(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))))
(/ (- (* 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)) (+ (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)) (+ (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))))
(/ (+ (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)))
(/ (+ (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)))
(/ (+ (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)))
(+ (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))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (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)))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (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) (- (* -5 (pow v 2)) 5))
(* (pow v 2) (- (* (pow v 2) (- (* -5 (pow v 2)) 5)) 5))
(* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -5 (pow v 2)) 5)) 5)) 5))
5
(+ 5 (* 5 (/ 1 (pow v 2))))
(+ 5 (+ (* 5 (/ 1 (pow v 2))) (/ 5 (pow v 4))))
(+ 5 (+ (* 5 (/ 1 (pow v 2))) (+ (* 5 (/ 1 (pow v 6))) (/ 5 (pow v 4)))))
5
(+ 5 (* 5 (/ 1 (pow v 2))))
(+ 5 (+ (* 5 (/ 1 (pow v 2))) (/ 5 (pow v 4))))
(+ 5 (+ (* 5 (/ 1 (pow v 2))) (+ (* 5 (/ 1 (pow v 6))) (/ 5 (pow v 4)))))
(- (* 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))
(- (* 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))
(- (* 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 (/ (+ 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)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
Outputs
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
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#s(literal 1 binary64)
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#s(literal 5 binary64)
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#s(literal 5 binary64)
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#s(literal -1 binary64)
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#s(literal -5 binary64)
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#s(literal -5 binary64)
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#s(literal -1 binary64)
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(/ (+ 1 (/ 1 (pow v 2))) (pow v 2))
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(/ (+ 1 (+ (/ 1 (pow v 2)) (+ (/ 1 (pow v 4)) (/ 1 (pow v 6))))) (pow v 2))
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#s(literal -1 binary64)
(- (pow v 2) 1)
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(- (pow v 2) 1)
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(- (pow v 2) 1)
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(pow v 2)
(*.f64 v v)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
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(* (pow v 2) (- 1 (/ 1 (pow v 2))))
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(* (pow v 2) (- 1 (/ 1 (pow v 2))))
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(pow v 2)
(*.f64 v v)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
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(* (pow v 2) (- 1 (/ 1 (pow v 2))))
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(* (pow v 2) (- 1 (/ 1 (pow v 2))))
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(/ (- (* 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))))
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(/ (- (* 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))))
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(/ (- (* 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))))
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(/ (- (* 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))))
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(/ (- (* 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))))
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(/ (- (* 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))))
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(/ (- (* 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))))
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(/ (- (* 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))))
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(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))

eval514.0ms (2.8%)

Memory
37.9MiB live, 851.0MiB allocated
Compiler

Compiled 165 862 to 6 685 computations (96% saved)

prune370.0ms (2%)

Memory
2.1MiB live, 647.8MiB allocated
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New2 851122 863
Fresh123
Picked235
Done011
Total2 854182 872
Accuracy
99.3%
Counts
2 872 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
96.2%
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
99.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
97.7%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
98.5%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
2.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
2.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))))))
2.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))))))
2.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))))
97.7%
(-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
99.2%
(-.f64 (PI.f64) (acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
98.6%
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
99.2%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.2%
(acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
98.6%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
98.1%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 1 551 to 656 computations (57.7% saved)

simplify482.0ms (2.6%)

Memory
3.5MiB live, 981.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
cost-diff0
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
cost-diff6656
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
cost-diff0
(*.f64 (PI.f64) (PI.f64))
cost-diff0
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
cost-diff0
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
cost-diff0
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
cost-diff64
(pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
cost-diff12864
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
cost-diff0
(*.f64 v v)
cost-diff0
(*.f64 (*.f64 v v) #s(literal 4 binary64))
cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
cost-diff0
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
cost-diff0
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
cost-diff0
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64)))
cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
Rules
18 122×accelerator-lowering-fma.f32
18 122×accelerator-lowering-fma.f64
4 900×*-lowering-*.f32
4 900×*-lowering-*.f64
1 898×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0481112
11071109
22381109
36201109
424641109
08182986
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) 3)
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(/ (* (PI) (PI)) 4)
4
(+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
2
(acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
(/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
3
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(acos (+ -1 (* (* v v) 4)))
(+ -1 (* (* v v) 4))
-1
(* (* v v) 4)
(* v v)
v
4
(pow (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 1/2) 2)
(pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 1/2)
(acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
1/2
2
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
2
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
3
(+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(cbrt (* (PI) (* (PI) (PI))))
4
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
2
Outputs
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) 3))
(-.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
8
#s(literal 8 binary64)
(pow (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) 3)
(pow.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
(pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))
3
#s(literal 3 binary64)
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(acos (+ -1 (* (* v v) 4)))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(+ -1 (* (* v v) 4))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))
-1
#s(literal -1 binary64)
(* (* v v) 4)
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* v v)
(*.f64 v v)
v
4
#s(literal 4 binary64)
(pow (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 1/2) 2)
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 1/2)
(sqrt.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
2
#s(literal 2 binary64)
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(-.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
8
#s(literal 8 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
3
#s(literal 3 binary64)
(+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(*.f64 (PI.f64) (PI.f64))
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
4
#s(literal 4 binary64)
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize539.0ms (2.9%)

Memory
-0.7MiB live, 874.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.5%
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
accuracy98.4%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
accuracy8.2%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
accuracy99.4%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
accuracy99.2%
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
accuracy8.2%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
accuracy8.2%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -5 binary64))
accuracy99.2%
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
accuracy98.5%
(pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
accuracy98.5%
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
accuracy100.0%
(*.f64 v v)
accuracy100.0%
(*.f64 (*.f64 v v) #s(literal 4 binary64))
accuracy99.2%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
accuracy98.5%
(pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))
accuracy98.5%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
accuracy8.2%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
Samples
210.0ms110×2valid
133.0ms140×1valid
2.0ms0valid
Compiler

Compiled 1 157 to 50 computations (95.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 273.0ms
ival-div: 60.0ms (22% of total)
ival-acos: 40.0ms (14.7% of total)
ival-pow: 27.0ms (9.9% of total)
ival-sub: 26.0ms (9.5% of total)
ival-mult: 24.0ms (8.8% of total)
ival-asin: 23.0ms (8.4% of total)
adjust: 21.0ms (7.7% of total)
ival-add: 20.0ms (7.3% of total)
ival-pow2: 19.0ms (7% of total)
ival-sqrt: 4.0ms (1.5% of total)
ival-cbrt: 4.0ms (1.5% of total)
ival-pi: 3.0ms (1.1% of total)
exact: 2.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series30.0ms (0.2%)

Memory
-14.0MiB live, 61.3MiB allocated
Counts
25 → 240
Calls
Call 1
Inputs
#<alt (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))>
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) 3))>
#<alt (/ (* (PI) (* (PI) (PI))) 8)>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (acos (+ -1 (* (* v v) 4)))>
#<alt (+ -1 (* (* v v) 4))>
#<alt (* (* v v) 4)>
#<alt (* v v)>
#<alt (pow (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 1/2) 2)>
#<alt (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 1/2)>
#<alt (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))>
#<alt (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))>
#<alt (/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))>
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))>
#<alt (/ (* (PI) (PI)) 4)>
#<alt (* (PI) (PI))>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))>
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))>
#<alt (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))>
#<alt (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))>
#<alt (pow (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) 3)>
#<alt (* (* v v) -5)>
#<alt (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))>
#<alt (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)>
Outputs
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
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#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)>
#<alt (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)>
#<alt (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)>
#<alt (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)>
#<alt (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)>
#<alt (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)>
#<alt (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)>
#<alt (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)>
#<alt (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)>
#<alt (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)>
#<alt (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)>
#<alt (pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
Calls

60 calls:

TimeVariablePointExpression
7.0ms
v
@0
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
5.0ms
v
@inf
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
4.0ms
v
@0
(pow (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 1/2) 2)
0.0ms
v
@0
(pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 1/2)
0.0ms
v
@inf
(pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 1/2)

rewrite666.0ms (3.6%)

Memory
23.9MiB live, 1 078.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 458×accelerator-lowering-fma.f32
4 458×accelerator-lowering-fma.f64
3 936×*-lowering-*.f32
3 936×*-lowering-*.f64
3 152×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048824
1365287
23398287
08240254
Stop Event
iter limit
node limit
Counts
25 → 1 399
Calls
Call 1
Inputs
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(acos (+ -1 (* (* v v) 4)))
(+ -1 (* (* v v) 4))
(* (* v v) 4)
(* v v)
(pow (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 1/2) 2)
(pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 1/2)
(acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(cbrt (* (PI) (* (PI) (PI))))
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(pow (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))) (/ (pow (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2) (+ (/ (PI) 2) (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) 3)
(* (* v v) -5)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
Outputs
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (+.f64 (log.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (log.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))))
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(*.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal -3 binary64)))
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(*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))

simplify775.0ms (4.2%)

Memory
-6.3MiB live, 1 483.8MiB allocated
Algorithm
egg-herbie
Rules
23 466×accelerator-lowering-fma.f32
23 466×accelerator-lowering-fma.f64
5 900×*-lowering-*.f32
5 900×*-lowering-*.f64
2 532×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0906884
12406878
25046874
312286874
439266872
082376030
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
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Outputs
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(- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
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(- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
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(- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
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(pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)
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(pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)
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(pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)
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(pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)
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(pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)
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(pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)
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(pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)
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(pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)
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(pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)
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(pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)
(pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 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 (pow.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)))) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal -1/2 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))))))) #s(literal 3 binary64))
(pow (- (* 1/4 (/ (pow (PI) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) 3)
(pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 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 (pow.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)))) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal -1/2 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))))))) #s(literal 3 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 #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 #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))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))

eval1.4s (7.5%)

Memory
-92.6MiB live, 1 630.8MiB allocated
Compiler

Compiled 401 358 to 10 158 computations (97.5% saved)

prune1.0s (5.6%)

Memory
10.1MiB live, 848.5MiB allocated
Pruning

29 alts after pruning (23 fresh and 6 done)

PrunedKeptTotal
New4 164164 180
Fresh279
Picked325
Done044
Total4 169294 198
Accuracy
99.4%
Counts
4 198 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
96.6%
(pow.f64 (pow.f64 (acos.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
2.6%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
2.7%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
95.7%
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
96.2%
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
98.5%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal 1 binary64) v)) (+.f64 v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
5.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
5.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
99.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
97.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)))))))
98.5%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
1.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))))
96.8%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))))))
2.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))))
99.2%
(-.f64 (PI.f64) (acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
98.6%
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
99.2%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.2%
(acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
98.6%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
98.1%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 4 353 to 1 527 computations (64.9% saved)

simplify485.0ms (2.6%)

Memory
35.8MiB live, 541.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))
cost-diff0
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
cost-diff0
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
cost-diff6656
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
cost-diff0
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64))
cost-diff0
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
cost-diff0
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
cost-diff6656
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff0
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
cost-diff6400
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))
cost-diff0
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
cost-diff0
(acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (PI.f64) (acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
Rules
6 346×accelerator-lowering-fma.f32
6 346×accelerator-lowering-fma.f64
4 740×*-lowering-*.f32
4 740×*-lowering-*.f64
2 220×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0671205
11491153
23271153
38381153
423801153
558671153
081151032
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (PI) (acos (- (/ 1 (- 1 (* v v))) (/ (* (* v v) -5) (+ (* v v) -1)))))
(PI)
(acos (- (/ 1 (- 1 (* v v))) (/ (* (* v v) -5) (+ (* v v) -1))))
(- (/ 1 (- 1 (* v v))) (/ (* (* v v) -5) (+ (* v v) -1)))
(/ 1 (- 1 (* v v)))
1
(- 1 (* v v))
(* v v)
v
(/ (* (* v v) -5) (+ (* v v) -1))
(* (* v v) -5)
-5
(+ (* v v) -1)
-1
(- (PI) (acos (+ 1 (* v (* v -4)))))
(PI)
(acos (+ 1 (* v (* v -4))))
(+ 1 (* v (* v -4)))
1
(* v (* v -4))
v
(* v -4)
-4
(/ (+ (* (/ (PI) 4) (PI)) (- 0 (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(+ (* (/ (PI) 4) (PI)) (- 0 (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 2)))
(/ (PI) 4)
(PI)
4
(- 0 (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 2))
0
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 2)
(asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))
(/ (+ 1 (* v (* v -5))) (+ (* v v) -1))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(+ (* v v) -1)
(* v v)
-1
2
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
(* (* v v) -5)
(/ (- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ (pow (cbrt (PI)) 9) 8)
(pow (cbrt (PI)) 9)
(cbrt (PI))
(PI)
9
8
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
3
(+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
4
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
2
(/ (- (/ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (/ (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (/ (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))))
(/ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))
(/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64)
(* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
64
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
8
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)
(asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))
(/ (+ 1 (* v (* v -5))) (+ (* v v) -1))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(+ (* v v) -1)
(* v v)
-1
3
(/ (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6)
6
(+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(cbrt (* (PI) (* (PI) (PI))))
4
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
(* (* v v) -5)
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
2
Outputs
(- (PI) (acos (- (/ 1 (- 1 (* v v))) (/ (* (* v v) -5) (+ (* v v) -1)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(PI)
(PI.f64)
(acos (- (/ 1 (- 1 (* v v))) (/ (* (* v v) -5) (+ (* v v) -1))))
(acos.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (/ 1 (- 1 (* v v))) (/ (* (* v v) -5) (+ (* v v) -1)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ 1 (- 1 (* v v)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
1
#s(literal 1 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* v v)
(*.f64 v v)
v
(/ (* (* v v) -5) (+ (* v v) -1))
(/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(* (* v v) -5)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (PI) (acos (+ 1 (* v (* v -4)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(PI)
(PI.f64)
(acos (+ 1 (* v (* v -4))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))
(+ 1 (* v (* v -4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))
1
#s(literal 1 binary64)
(* v (* v -4))
(*.f64 (*.f64 v v) #s(literal -4 binary64))
v
(* v -4)
(*.f64 v #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (+ (* (/ (PI) 4) (PI)) (- 0 (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(+ (* (/ (PI) 4) (PI)) (- 0 (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 2)))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/ (PI) 4)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(- 0 (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 2))
(-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
0
#s(literal 0 binary64)
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 2)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))
(asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* v (* v -5))) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* v (* v -5))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
(* v v)
(*.f64 v v)
-1
#s(literal -1 binary64)
2
#s(literal 2 binary64)
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (* v v) -5)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(/ (- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal -8 binary64))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(/ (pow (cbrt (PI)) 9) 8)
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64))
(pow (cbrt (PI)) 9)
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(cbrt (PI))
(cbrt.f64 (PI.f64))
(PI)
(PI.f64)
9
#s(literal 9 binary64)
8
#s(literal 8 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
3
#s(literal 3 binary64)
(+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(*.f64 (PI.f64) (PI.f64))
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
4
#s(literal 4 binary64)
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (- (/ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (/ (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(/.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal -64 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(- (/ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (/ (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))
(/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))))
(/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64))
(* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
64
#s(literal 64 binary64)
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))
(+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
8
#s(literal 8 binary64)
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* v (* v -5))) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* v (* v -5))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
(* v v)
(*.f64 v v)
-1
#s(literal -1 binary64)
3
#s(literal 3 binary64)
(/ (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))
(/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))))
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
6
#s(literal 6 binary64)
(+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(*.f64 (PI.f64) (PI.f64))
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
4
#s(literal 4 binary64)
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (* v v) -5)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize786.0ms (4.2%)

Memory
-27.2MiB live, 1 705.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy97.6%
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
accuracy8.5%
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
accuracy8.2%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
accuracy6.3%
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
accuracy98.4%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
accuracy98.4%
(cbrt.f64 (PI.f64))
accuracy95.6%
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
accuracy8.2%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
accuracy99.2%
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
accuracy99.2%
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
accuracy8.2%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
accuracy5.2%
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))))
accuracy100.0%
(*.f64 v #s(literal -4 binary64))
accuracy100.0%
(PI.f64)
accuracy100.0%
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
accuracy6.9%
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))
accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
accuracy100.0%
(-.f64 (PI.f64) (acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -5 binary64))
accuracy6.9%
(acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
Samples
296.0ms130×2valid
196.0ms123×1valid
2.0ms0valid
Compiler

Compiled 1 268 to 69 computations (94.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 393.0ms
ival-div: 69.0ms (17.6% of total)
ival-acos: 56.0ms (14.3% of total)
ival-pow: 47.0ms (12% of total)
ival-sub: 43.0ms (10.9% of total)
ival-mult: 42.0ms (10.7% of total)
ival-asin: 40.0ms (10.2% of total)
adjust: 38.0ms (9.7% of total)
ival-add: 23.0ms (5.9% of total)
ival-pow2: 21.0ms (5.3% of total)
ival-cbrt: 7.0ms (1.8% of total)
exact: 3.0ms (0.8% of total)
ival-pi: 3.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.1%)

Memory
8.4MiB live, 46.8MiB allocated
Counts
26 → 240
Calls
Call 1
Inputs
#<alt (- (PI) (acos (- (/ 1 (- 1 (* v v))) (/ (* (* v v) -5) (+ (* v v) -1)))))>
#<alt (PI)>
#<alt (acos (- (/ 1 (- 1 (* v v))) (/ (* (* v v) -5) (+ (* v v) -1))))>
#<alt (- (/ 1 (- 1 (* v v))) (/ (* (* v v) -5) (+ (* v v) -1)))>
#<alt (- (PI) (acos (+ 1 (* v (* v -4)))))>
#<alt (acos (+ 1 (* v (* v -4))))>
#<alt (+ 1 (* v (* v -4)))>
#<alt (+ (* (/ (PI) 4) (PI)) (- 0 (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 2)))>
#<alt (/ (+ (* (/ (PI) 4) (PI)) (- 0 (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))>
#<alt (/ (PI) 4)>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (/ (- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))>
#<alt (- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))>
#<alt (/ (pow (cbrt (PI)) 9) 8)>
#<alt (/ (- (/ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (/ (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))>
#<alt (- (/ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (/ (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))))>
#<alt (/ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))>
#<alt (* (* v v) -5)>
#<alt (* v -4)>
#<alt (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))>
#<alt (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))>
#<alt (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))>
#<alt (pow (cbrt (PI)) 9)>
#<alt (cbrt (PI))>
#<alt (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))>
#<alt (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6)>
Outputs
#<alt (- (PI) (acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1))))))>
#<alt (- (PI) (acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1))))))>
#<alt (- (PI) (acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1))))))>
#<alt (- (PI) (acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1))))))>
#<alt (- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))>
#<alt (- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))>
#<alt (- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))>
#<alt (- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))>
#<alt (- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))>
#<alt (- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))>
#<alt (- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))>
#<alt (- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))>
#<alt (acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1)))))>
#<alt (acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1)))))>
#<alt (acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1)))))>
#<alt (acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1)))))>
#<alt (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))>
#<alt (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))>
#<alt (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))>
#<alt (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))>
#<alt (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))>
#<alt (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))>
#<alt (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))>
#<alt (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))>
#<alt 5>
#<alt (+ 5 (* 4 (/ 1 (pow v 2))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))>
#<alt 5>
#<alt (+ 5 (* 4 (/ 1 (pow v 2))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))>
#<alt (- (PI) (acos (+ 1 (* -4 (pow v 2)))))>
#<alt (- (PI) (acos (+ 1 (* -4 (pow v 2)))))>
#<alt (- (PI) (acos (+ 1 (* -4 (pow v 2)))))>
#<alt (- (PI) (acos (+ 1 (* -4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (acos (+ 1 (* -4 (pow v 2))))>
#<alt (acos (+ 1 (* -4 (pow v 2))))>
#<alt (acos (+ 1 (* -4 (pow v 2))))>
#<alt (acos (+ 1 (* -4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt 1>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (* -4 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* -4 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 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))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (/ (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (- (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (* 1/64 (/ (pow (PI) 6) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)>
Calls

60 calls:

TimeVariablePointExpression
6.0ms
v
@inf
(/ (- (/ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (/ (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
4.0ms
v
@0
(/ (- (/ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (/ (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
0.0ms
v
@inf
(* v -4)
0.0ms
v
@-inf
(/ (- (/ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (/ (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
0.0ms
v
@0
(* v -4)

rewrite600.0ms (3.2%)

Memory
10.2MiB live, 1 206.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 956×accelerator-lowering-fma.f32
4 956×accelerator-lowering-fma.f64
4 130×*-lowering-*.f32
4 130×*-lowering-*.f64
2 188×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067421
1502329
24685329
08571293
Stop Event
iter limit
node limit
Counts
26 → 1 207
Calls
Call 1
Inputs
(- (PI) (acos (- (/ 1 (- 1 (* v v))) (/ (* (* v v) -5) (+ (* v v) -1)))))
(PI)
(acos (- (/ 1 (- 1 (* v v))) (/ (* (* v v) -5) (+ (* v v) -1))))
(- (/ 1 (- 1 (* v v))) (/ (* (* v v) -5) (+ (* v v) -1)))
(- (PI) (acos (+ 1 (* v (* v -4)))))
(acos (+ 1 (* v (* v -4))))
(+ 1 (* v (* v -4)))
(+ (* (/ (PI) 4) (PI)) (- 0 (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 2)))
(/ (+ (* (/ (PI) 4) (PI)) (- 0 (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(/ (PI) 4)
(cbrt (* (PI) (* (PI) (PI))))
(/ (- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ (pow (cbrt (PI)) 9) 8)
(/ (- (/ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (/ (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))) (+ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (/ (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))))
(/ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))
(* (* v v) -5)
(* v -4)
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(pow (cbrt (PI)) 9)
(cbrt (PI))
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6)
Outputs
(+.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(+.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (PI.f64))
(+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(-.f64 (PI.f64) (acos.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (+.f64 (PI.f64) (acos.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))))) (/.f64 (pow.f64 (acos.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 3 binary64)) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (+.f64 (PI.f64) (acos.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (/.f64 (pow.f64 (acos.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))))
(fma.f64 (PI.f64) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(fma.f64 (PI.f64) (log.f64 (E.f64)) (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(fma.f64 #s(literal 1 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
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(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 512 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 9 binary64)))) (-.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 6 binary64)))) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 6 binary64)))
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) #s(literal 3 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))))
(exp.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))))
(-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 6 binary64)))
(neg.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 6 binary64)))
(/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 18 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 12 binary64)))
(/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 12 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 18 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 12 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 6 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 12 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 6 binary64)))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 6 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3/2 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(*.f64 #s(literal -1 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 6 binary64)))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64)))
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 5 binary64)))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 9/2 binary64)))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 18 binary64)) (pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal -4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 12 binary64)) (pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal -2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 9/2 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 5 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 (pow.f64 (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)))

simplify419.0ms (2.3%)

Memory
-17.5MiB live, 717.3MiB allocated
Algorithm
egg-herbie
Rules
9 250×accelerator-lowering-fma.f32
9 250×accelerator-lowering-fma.f64
3 254×*-lowering-*.f32
3 254×*-lowering-*.f64
2 560×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036230
12476230
24506230
39586226
426716082
570396080
083745346
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(- (PI) (acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1))))))
(- (PI) (acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1))))))
(- (PI) (acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1))))))
(- (PI) (acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1))))))
(- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))
(- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))
(- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))
(- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))
(- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))
(- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))
(- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))
(- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))
(acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))
(acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))
(acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))
(acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))
(acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))
(acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))
(acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))
(acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))
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)))
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)))))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(acos (+ 1 (* -4 (pow v 2))))
(acos (+ 1 (* -4 (pow v 2))))
(acos (+ 1 (* -4 (pow v 2))))
(acos (+ 1 (* -4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* -4 (pow v 2)))
(+ 1 (* -4 (pow v 2)))
(* -4 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* -4 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(- (* 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))
(- (* 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))
(- (* 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))
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(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
Outputs
(- (PI) (acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(acos (- (/ 1 (- 1 (pow v 2))) (* -5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(acos (+ (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- 1 (pow v 2)))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
1
#s(literal 1 binary64)
(+ 1 (* -4 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+.f64 #s(literal 5 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+.f64 #s(literal 5 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(acos (+ 1 (* -4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))
(acos (+ 1 (* -4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))
(acos (+ 1 (* -4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))
(acos (+ 1 (* -4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -4 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))
(+ 1 (* -4 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))
(+ 1 (* -4 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))
(* -4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -4 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))
(* -4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -4 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.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)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
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(/ (- (* 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))))
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(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))

eval672.0ms (3.6%)

Memory
46.3MiB live, 1 314.3MiB allocated
Compiler

Compiled 314 543 to 7 918 computations (97.5% saved)

prune473.0ms (2.5%)

Memory
-39.0MiB live, 987.4MiB allocated
Pruning

32 alts after pruning (22 fresh and 10 done)

PrunedKeptTotal
New3 11663 122
Fresh21618
Picked055
Done156
Total3 119323 151
Accuracy
99.4%
Counts
3 151 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.1%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (neg.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (neg.f64 (acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
2.6%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
2.7%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
95.0%
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
95.3%
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
95.7%
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
96.2%
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
2.0%
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
98.5%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal 1 binary64) v)) (+.f64 v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
5.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
5.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
97.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)))))))
98.5%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
1.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))))
96.8%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))))))
2.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))))
97.7%
(-.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 1/6 binary64)) (acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
97.1%
(-.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 1/6 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
99.2%
(-.f64 (PI.f64) (acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
98.6%
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
99.2%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.2%
(acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
98.6%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
98.1%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 5 526 to 1 220 computations (77.9% saved)

regimes60.0ms (0.3%)

Memory
23.6MiB live, 131.4MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 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 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(-.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 1/6 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(-.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 1/6 binary64)) (acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(pow.f64 (pow.f64 (acos.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (neg.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (neg.f64 (acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
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(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
Outputs
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
Calls

4 calls:

16.0ms
(*.f64 v v)
11.0ms
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
99.3%1v
99.3%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.3%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.3%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes40.0ms (0.2%)

Memory
-3.6MiB live, 76.9MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 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 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(-.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 1/6 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(-.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 1/6 binary64)) (acos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(pow.f64 (pow.f64 (acos.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (neg.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (neg.f64 (acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 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))))
Calls

4 calls:

15.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
8.0ms
v
8.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
7.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.2%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.2%1v
99.2%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.2%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes3.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
Outputs
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
Calls

2 calls:

2.0ms
v
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.6%1v
98.6%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
Outputs
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
Calls

2 calls:

1.0ms
v
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.6%1v
98.6%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes1.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
Outputs
(acos.f64 #s(literal -1 binary64))
Calls

1 calls:

1.0ms
v
Results
AccuracySegmentsBranch
98.1%1v
Compiler

Compiled 2 to 1 computations (50% saved)

simplify14.0ms (0.1%)

Memory
-11.8MiB live, 25.1MiB allocated
Algorithm
egg-herbie
Rules
50×+-commutative_binary64
42×*-commutative_binary64
38×sub-neg_binary64
28×neg-sub0_binary64
28×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048144
178144
2104144
3131144
4154144
5167144
6174144
7176144
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.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 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(acos.f64 #s(literal -1 binary64))
Outputs
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.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))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(acos.f64 #s(literal -1 binary64))

soundness811.0ms (4.4%)

Memory
7.1MiB live, 569.8MiB allocated
Rules
16 972×accelerator-lowering-fma.f32
16 972×accelerator-lowering-fma.f64
13 050×accelerator-lowering-fma.f32
13 050×accelerator-lowering-fma.f64
4 946×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037464
195458
2251454
3622454
41536452
54220452
67460452
08256414
0942
16442
252442
3681642
0816437
041280
1299255
22857247
08473221
01314063
13194057
27184047
316744028
444514020
083153576
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 186 to 78 computations (58.1% saved)

preprocess52.0ms (0.3%)

Memory
-8.2MiB live, 104.2MiB allocated
Remove

(abs v)

Compiler

Compiled 986 to 304 computations (69.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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