Falkner and Boettcher, Appendix B, 1

Time bar (total: 17.8s)

analyze537.0ms (3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
0%0%100%0%0%0%0%4
0%0%100%0%0%0%0%5
0%0%100%0%0%0%0%6
0%0%100%0%0%0%0%7
0%0%100%0%0%0%0%8
0%0%100%0%0%0%0%9
0%0%100%0%0%0%0%10
0%0%100%0%0%0%0%11
0%0%100%0%0%0%0%12
Compiler

Compiled 16 to 10 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 242.0ms
ival-sub: 85.0ms (35.2% of total)
ival-mult: 65.0ms (26.9% of total)
ival-acos: 51.0ms (21.1% of total)
ival-div: 33.0ms (13.7% of total)
const: 5.0ms (2.1% of total)
backward-pass: 2.0ms (0.8% of total)

sample4.6s (25.6%)

Results
1.7s3758×3valid
814.0ms8079×0invalid
667.0ms2068×2valid
408.0ms2193×1valid
25.0ms237×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-sub: 651.0ms (25.1% of total)
ival-acos: 628.0ms (24.2% of total)
ival-mult: 569.0ms (21.9% of total)
ival-div: 376.0ms (14.5% of total)
backward-pass: 323.0ms (12.4% of total)
const: 51.0ms (2% of total)
Bogosity

preprocess216.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
1820×fnmadd-define
1610×*-lowering-*.f32
1610×*-lowering-*.f64
1568×--lowering--.f32
1568×--lowering--.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01737
16437
218534
367134
4270334
5641334
0912
13212
27811
321711
464611
5150411
6367411
7689711
0824611
Stop Event
1×iter limit
1×node limit
1×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 v (*.f64 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 (/ (fnmsub 5 (square v) -1) (+ (square v) -1)))
(acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1)))
(acos (/ (fnmsub 5 (square v) -1) (+ (square v) -1)))
(neg (acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1))))
(neg (acos (/ (fnmsub 5 (square v) -1) (+ (square v) -1))))
Symmetry

(abs v)

explain371.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
13242(9.918487372301582e-190)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 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
00-0-(-.f64 (*.f64 v v) #s(literal 1 binary64))
00-0-v
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-(*.f64 v v)
00-0-#s(literal 5 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 5 binary64) (*.f64 v v))
Results
192.0ms234×3valid
69.0ms130×2valid
37.0ms136×1valid
1.0ms12×0valid
Compiler

Compiled 119 to 29 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 162.0ms
backward-pass: 61.0ms (37.6% of total)
ival-sub: 30.0ms (18.5% of total)
ival-acos: 30.0ms (18.5% of total)
ival-mult: 24.0ms (14.8% of total)
ival-div: 14.0ms (8.6% of total)
const: 3.0ms (1.8% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.9%
(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)

simplify168.0ms (0.9%)

Algorithm
1×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
1820×fnmadd-define
1610×*-lowering-*.f32
1610×*-lowering-*.f64
1568×--lowering--.f32
1568×--lowering--.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0942
13242
27839
321739
464639
5150439
6367439
7689739
0824639
Stop Event
1×iter limit
1×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 v (*.f64 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 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(- 1 (* 5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 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))

localize136.0ms (0.8%)

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))
✓accuracy99.0%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Results
64.0ms117×3valid
30.0ms65×2valid
19.0ms68×1valid
1.0ms6×0valid
Compiler

Compiled 52 to 10 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-acos: 18.0ms (29.5% of total)
backward-pass: 15.0ms (24.6% of total)
ival-mult: 11.0ms (18% of total)
ival-sub: 9.0ms (14.7% of total)
ival-div: 7.0ms (11.5% of total)
const: 1.0ms (1.6% of total)

series3.0ms (0%)

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

rewrite358.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
4532×*-lowering-*.f32
4532×*-lowering-*.f64
3504×/-lowering-/.f32
3504×/-lowering-/.f64
1052×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0935
16735
254432
3750132
0805532
Stop Event
1×iter limit
1×node limit
Counts
5 → 324
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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(+.f64 (-.f64 #s(literal 0 binary64) (asin.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) #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 #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 5 binary64) (*.f64 v v))) (-.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 #s(literal 5 binary64) (*.f64 v v))) (+.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) (/.f64 (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)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.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)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))))
(-.f64 (/.f64 (/.f64 (*.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (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)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.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)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 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 #s(literal 5 binary64) (*.f64 v v))) (+.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 #s(literal 5 binary64) (*.f64 v v))) (+.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 #s(literal 5 binary64) (*.f64 v v))) (+.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/.f64 (neg.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.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)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (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))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))))
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))) (*.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) #s(literal 1953125 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 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 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) #s(literal 15625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 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 (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) #s(literal 15625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) #s(literal 625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64))) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64))))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 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 (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.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 (*.f64 v (*.f64 v v))) #s(literal -25 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v 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 (*.f64 v 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 (*.f64 v (*.f64 v 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 v (*.f64 v #s(literal -5 binary64))))
(neg.f64 (*.f64 v (*.f64 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 v (*.f64 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)))

simplify203.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
3288×*-lowering-*.f32
3288×*-lowering-*.f64
1638×fma-lowering-fma.f32
1638×fma-lowering-fma.f64
1634×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037461
1106356
2304354
3836354
42205353
56329353
08346353
Stop Event
1×iter limit
1×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 v (*.f64 v #s(literal -5 binary64)))) (+.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 v (*.f64 v #s(literal -5 binary64)))) (+.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 v (*.f64 v #s(literal -5 binary64)))) (+.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 v (*.f64 v #s(literal -5 binary64)))) (+.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 v (*.f64 v #s(literal -5 binary64)))) (+.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 v (*.f64 v #s(literal -5 binary64)))) (+.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 v (*.f64 v #s(literal -5 binary64)))) (+.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 v (*.f64 v #s(literal -5 binary64)))) (+.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 v (*.f64 v #s(literal -5 binary64)))) (+.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 v (*.f64 v #s(literal -5 binary64)))) (+.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 v (*.f64 v #s(literal -5 binary64)))) (+.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 v (*.f64 v #s(literal -5 binary64)))) (+.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 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v))))))
(- (* (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 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.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 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.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 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.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 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v v)) #s(literal 4 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(+ 1 (* -5 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(+ 1 (* -5 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* -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 v (*.f64 v #s(literal -5 binary64))))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* -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 v (*.f64 v #s(literal -5 binary64))))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 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)

eval79.0ms (0.4%)

Compiler

Compiled 13089 to 1297 computations (90.1% saved)

prune66.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3986404
Fresh000
Picked011
Done000
Total3987405
Accuracy
99.0%
Counts
405 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶1.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
98.9%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (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))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))))
▶98.9%
(-.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)))))
✓98.9%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
▶98.6%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
▶98.7%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))
▶97.9%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 363 to 171 computations (52.9% saved)

simplify154.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓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 #s(literal 5 binary64) (*.f64 v v))) (+.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 #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 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
✓cost-diff0
(*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v))))
✓cost-diff0
(*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v))))))
✓cost-diff0
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))
✓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
(acos.f64 #s(literal -1 binary64))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓cost-diff0
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.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 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
Rules
2038×*-lowering-*.f32
2038×*-lowering-*.f64
2032×fnmadd-define
1526×+-lowering-+.f64
1526×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034281
192269
2245257
3621254
41551254
53941254
08146254
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (PI) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))
(PI)
(acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))
(/ (- 1 (* 5 (* v v))) (- 1 (* v v)))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(- 1 (* v v))
(acos -1)
-1
(acos (+ -1 (* (* v v) 4)))
(+ -1 (* (* v v) 4))
-1
(* (* v v) 4)
(* v v)
v
4
(acos (+ -1 (* v (* 4 (* v (+ 1 (* v v)))))))
(+ -1 (* v (* 4 (* v (+ 1 (* v v))))))
-1
(* v (* 4 (* v (+ 1 (* v v)))))
v
(* 4 (* v (+ 1 (* v v))))
4
(* v (+ 1 (* v v)))
(+ 1 (* v v))
1
(* v v)
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)
(asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))
(/ (- 1 (* 5 (* v v))) (+ (* v v) -1))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(+ (* v v) -1)
-1
2
(+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))))
(/ (PI) 2)
Outputs
(- (PI) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(PI)
(PI.f64)
(acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ (- 1 (* 5 (* v v))) (- 1 (* v v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(- 1 (* 5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 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
(- 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) 4)))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
(+ -1 (* (* v v) 4))
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))
-1
#s(literal -1 binary64)
(* (* v v) 4)
(*.f64 v (*.f64 v #s(literal 4 binary64)))
(* v v)
(*.f64 v v)
v
4
#s(literal 4 binary64)
(acos (+ -1 (* v (* 4 (* v (+ 1 (* v v)))))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(+ -1 (* v (* 4 (* v (+ 1 (* v v))))))
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))))
-1
#s(literal -1 binary64)
(* v (* 4 (* v (+ 1 (* v v)))))
(*.f64 v (*.f64 v (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))
v
(* 4 (* v (+ 1 (* v v))))
(*.f64 v (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
4
#s(literal 4 binary64)
(* v (+ 1 (* v v)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(+ 1 (* v v))
(+.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)
(* v v)
(*.f64 v v)
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* 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 (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 (PI.f64) #s(literal 2 binary64))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* 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) (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 (* 5 (* v v))) (+ (* 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 (* 5 (* v v))) (+ (* 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 (* 5 (* v v))) (+ (* 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 (* 5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 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))
-1
#s(literal -1 binary64)
2
#s(literal 2 binary64)
(+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* 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 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))

localize558.0ms (3.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓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 #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 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
✓accuracy98.9%
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
✓accuracy8.7%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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)))
✓accuracy8.7%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v))))))
✓accuracy100.0%
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy100.0%
(*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))
✓accuracy99.0%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))
✓accuracy100.0%
(*.f64 v v)
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
✓accuracy100.0%
(*.f64 (*.f64 v v) #s(literal 4 binary64))
✓accuracy99.0%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓accuracy100.0%
(acos.f64 #s(literal -1 binary64))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy100.0%
(-.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)))))
✓accuracy99.8%
(*.f64 #s(literal 5 binary64) (*.f64 v v))
✓accuracy6.9%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Results
284.0ms123×2valid
183.0ms130×1valid
1.0ms3×0valid
Compiler

Compiled 326 to 35 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 265.0ms
backward-pass: 61.0ms (23% of total)
ival-acos: 56.0ms (21.2% of total)
ival-mult: 40.0ms (15.1% of total)
ival-div: 25.0ms (9.4% of total)
ival-pi: 24.0ms (9.1% of total)
ival-add: 17.0ms (6.4% of total)
ival-asin: 15.0ms (5.7% of total)
ival-sub: 13.0ms (4.9% of total)
ival-pow: 12.0ms (4.5% of total)
const: 2.0ms (0.8% of total)

series13.0ms (0.1%)

Counts
21 → 204
Calls
Call 1
Inputs
#<alt (- (PI) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))>
#<alt (PI)>
#<alt (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))>
#<alt (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))>
#<alt (acos -1)>
#<alt (acos (+ -1 (* (* v v) 4)))>
#<alt (+ -1 (* (* v v) 4))>
#<alt (* (* v v) 4)>
#<alt (* v v)>
#<alt (acos (+ -1 (* v (* 4 (* v (+ 1 (* v v)))))))>
#<alt (+ -1 (* v (* 4 (* v (+ 1 (* v v))))))>
#<alt (* v (* 4 (* v (+ 1 (* v v)))))>
#<alt (* 4 (* v (+ 1 (* v v))))>
#<alt (/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))>
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))>
#<alt (/ (* (PI) (PI)) 4)>
#<alt (* (PI) (PI))>
#<alt (* 5 (* v v))>
#<alt (* v (+ 1 (* v v)))>
#<alt (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))))>
#<alt (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))>
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 (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (* 4 (pow v 2))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* 4 (pow v 2))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (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)>
#<alt (acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))>
#<alt (acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))>
#<alt (acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))>
#<alt (acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))>
#<alt (acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))>
#<alt (acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))>
#<alt (acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))>
#<alt (acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))>
#<alt (acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))>
#<alt (acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))>
#<alt (acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))>
#<alt (acos (- (* 4 (* (pow v 2) (+ 1 (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 (* 4 (pow v 2)))) 1)>
#<alt (* 4 (pow v 4))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* 4 (pow v 4))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* 4 (pow v 2))>
#<alt (* (pow v 2) (+ 4 (* 4 (pow v 2))))>
#<alt (* (pow v 2) (+ 4 (* 4 (pow v 2))))>
#<alt (* (pow v 2) (+ 4 (* 4 (pow v 2))))>
#<alt (* 4 (pow v 4))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* 4 (pow v 4))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* 4 v)>
#<alt (* v (+ 4 (* 4 (pow v 2))))>
#<alt (* v (+ 4 (* 4 (pow v 2))))>
#<alt (* v (+ 4 (* 4 (pow v 2))))>
#<alt (* 4 (pow v 3))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* 4 (pow v 3))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 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 (- (* 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 (* 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 v>
#<alt (* v (+ 1 (pow v 2)))>
#<alt (* v (+ 1 (pow v 2)))>
#<alt (* v (+ 1 (pow v 2)))>
#<alt (pow v 3)>
#<alt (* (pow v 3) (+ 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 3) (+ 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 3) (+ 1 (/ 1 (pow v 2))))>
#<alt (pow v 3)>
#<alt (* (pow v 3) (+ 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 3) (+ 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 3) (+ 1 (/ 1 (pow v 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 (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)))>
Calls

51 calls:

TimeVariablePointExpression
4.0ms
v
@0
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
1.0ms
v
@inf
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
1.0ms
v
@-inf
(acos (+ -1 (* v (* 4 (* v (+ 1 (* v v)))))))
0.0ms
v
@0
(* 4 (* v (+ 1 (* v v))))
0.0ms
v
@inf
(+ -1 (* v (* 4 (* v (+ 1 (* v v))))))

rewrite533.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
4844×*-lowering-*.f32
4844×*-lowering-*.f64
2868×/-lowering-/.f32
2868×/-lowering-/.f64
1952×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034175
1254164
22256153
09505153
Stop Event
1×iter limit
1×node limit
Counts
21 → 819
Calls
Call 1
Inputs
(- (PI) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))
(PI)
(acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))
(/ (- 1 (* 5 (* v v))) (- 1 (* v v)))
(acos -1)
(acos (+ -1 (* (* v v) 4)))
(+ -1 (* (* v v) 4))
(* (* v v) 4)
(* v v)
(acos (+ -1 (* v (* 4 (* v (+ 1 (* v v)))))))
(+ -1 (* v (* 4 (* v (+ 1 (* v v))))))
(* v (* 4 (* v (+ 1 (* v v)))))
(* 4 (* v (+ 1 (* v v))))
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(* 5 (* v v))
(* v (+ 1 (* v v)))
(+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))))
(asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))
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))))
(+.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.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 #s(literal 5 binary64) (*.f64 v v))) (-.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 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (PI.f64))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (neg.f64 (/.f64 (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)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.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 #s(literal 5 binary64) (*.f64 v v))) (-.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 #s(literal 5 binary64) (*.f64 v v))) (+.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(-.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)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (/.f64 (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)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.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 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.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)))))))) (/.f64 (pow.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)))) #s(literal 3 binary64)) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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)))) (+.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)))))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.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)))))) (/.f64 (pow.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)))) #s(literal 2 binary64)) (+.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)))))))
(fma.f64 (PI.f64) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.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 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (neg.f64 (/.f64 (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)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.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 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 #s(literal -1 binary64) (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.f64))
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(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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)))) (*.f64 #s(literal 2 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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 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 1 binary64))
(pow.f64 (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)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.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))
(*.f64 (sqrt.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))))) (sqrt.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))))))
(*.f64 (pow.f64 (sqrt.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 1 binary64)) (pow.f64 (sqrt.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 1 binary64)))

simplify246.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
2954×*-lowering-*.f32
2954×*-lowering-*.f64
1746×/-lowering-/.f32
1746×/-lowering-/.f64
1598×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0772443
12162020
25581914
316261914
452581914
083081914
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
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)))))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
-1
(- (* 4 (pow v 2)) 1)
(- (* 4 (pow v 2)) 1)
(- (* 4 (pow v 2)) 1)
(* 4 (pow v 2))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* 4 (pow v 2))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (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)
(acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))
(acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))
(acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))
(acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))
(acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))
(acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))
(acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))
(acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))
(acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))
(acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))
(acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))
(acos (- (* 4 (* (pow v 2) (+ 1 (pow v 2)))) 1))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* 4 (pow v 2))
(* (pow v 2) (+ 4 (* 4 (pow v 2))))
(* (pow v 2) (+ 4 (* 4 (pow v 2))))
(* (pow v 2) (+ 4 (* 4 (pow v 2))))
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* 4 v)
(* v (+ 4 (* 4 (pow v 2))))
(* v (+ 4 (* 4 (pow v 2))))
(* v (+ 4 (* 4 (pow v 2))))
(* 4 (pow v 3))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* 4 (pow v 3))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 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))))
(- (* 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))
(* 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))
v
(* v (+ 1 (pow v 2)))
(* v (+ 1 (pow v 2)))
(* v (+ 1 (pow v 2)))
(pow v 3)
(* (pow v 3) (+ 1 (/ 1 (pow v 2))))
(* (pow v 3) (+ 1 (/ 1 (pow v 2))))
(* (pow v 3) (+ 1 (/ 1 (pow v 2))))
(pow v 3)
(* (pow v 3) (+ 1 (/ 1 (pow v 2))))
(* (pow v 3) (+ 1 (/ 1 (pow v 2))))
(* (pow v 3) (+ 1 (/ 1 (pow v 2))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 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)))
(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)))
Outputs
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
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v
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(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
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(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
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eval229.0ms (1.3%)

Compiler

Compiled 79917 to 3787 computations (95.3% saved)

prune207.0ms (1.2%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New1453151468
Fresh101
Picked235
Done011
Total1456191475
Accuracy
99.0%
Counts
1475 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(/.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (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 4 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 #s(literal 0 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))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
▶2.6%
(/.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 #s(literal 5 binary64) (*.f64 v v))) (+.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (*.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)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
5.0%
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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)))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (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 4 binary64)))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
1.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #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 (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 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)))) (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))))
1.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (/.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 #s(literal 5 binary64) (*.f64 v v))) (+.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.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)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
1.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (/.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.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)))) (/.f64 (PI.f64) #s(literal 2 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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))))
1.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (-.f64 (PI.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))))))
▶1.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
1.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
▶2.0%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.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)))) (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)))) (pow.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)))) #s(literal 2 binary64)))
1.9%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.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)))) (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)))) (*.f64 (/.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)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 (/.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)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (/.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)))) (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)))))
97.5%
(-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
96.0%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
▶97.5%
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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)))))
▶98.6%
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
✓98.9%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
✓98.6%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓98.7%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))
✓97.9%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 1992 to 710 computations (64.4% saved)

simplify265.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64))
✓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)) (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 6 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)) (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 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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (*.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)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 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)) (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 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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (*.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)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
✓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)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
✓cost-diff7296
(-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.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)))) (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))))
✓cost-diff13760
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.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)))) (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)))) (pow.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)))) #s(literal 2 binary64)))
✓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 #s(literal 5 binary64) (*.f64 v v))) (+.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓cost-diff0
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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)))))
✓cost-diff6656
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓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))))))
Rules
4940×*-lowering-*.f32
4940×*-lowering-*.f64
2038×+-lowering-+.f64
2038×+-lowering-+.f32
1552×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052839
1146807
2396758
31225758
43952758
08328758
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (PI) (acos (- 1 (* v (* v 4)))))
(PI)
(acos (- 1 (* v (* v 4))))
(- 1 (* v (* v 4)))
1
(* v (* v 4))
v
(* v 4)
4
(- (cbrt (* (PI) (* (PI) (PI)))) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
(acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))
(/ (- 1 (* 5 (* v v))) (- 1 (* v v)))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(- 1 (* v v))
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)
(asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))
(/ (- 1 (* 5 (* v v))) (+ (* v v) -1))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(+ (* v v) -1)
-1
2
(acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))
(/ (- 1 (* 5 (* v v))) (- 1 (* v v)))
(- 1 (* v v))
(/ (- (* (/ (* (PI) (PI)) 4) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))) (* (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))) (pow (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) 2))
(- (* (/ (* (PI) (PI)) 4) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))) (* (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))
(* (/ (* (PI) (PI)) 4) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))
(/ (- 1 (* 5 (* v v))) (- 1 (* v v)))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(- 1 (* v v))
(* (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)
(asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))
(/ (- 1 (* 5 (* v v))) (+ (* v v) -1))
(+ (* v v) -1)
-1
2
(pow (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) 2)
(/ (/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
(/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2)))
(- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6))
(/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64)
(* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
64
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)
(asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))
(/ (- 1 (* 5 (* v v))) (+ (* v v) -1))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(+ (* v v) -1)
-1
6
(+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
16
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)
4
(pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2)
(* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2))
(/ (PI) 2)
2
(+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))))
Outputs
(- (PI) (acos (- 1 (* v (* v 4)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(PI)
(PI.f64)
(acos (- 1 (* v (* v 4))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))
(- 1 (* v (* v 4)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))
1
#s(literal 1 binary64)
(* v (* v 4))
(*.f64 v (*.f64 v #s(literal 4 binary64)))
v
(* v 4)
(*.f64 v #s(literal 4 binary64))
4
#s(literal 4 binary64)
(- (cbrt (* (PI) (* (PI) (PI)))) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ (- 1 (* 5 (* v v))) (- 1 (* v v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(- 1 (* 5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* 5 (* v v))
(*.f64 v (*.f64 v #s(literal 5 binary64)))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* 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 v (*.f64 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 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* 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) (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 (* 5 (* v v))) (+ (* 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 (* 5 (* v v))) (+ (* 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 (* 5 (* v v))) (+ (* 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 (* 5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* 5 (* v v))
(*.f64 v (*.f64 v #s(literal 5 binary64)))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
2
#s(literal 2 binary64)
(acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ (- 1 (* 5 (* v v))) (- 1 (* v v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (- (* (/ (* (PI) (PI)) 4) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))) (* (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))) (pow (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) 2))
(/.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (* (/ (* (PI) (PI)) 4) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))) (* (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))
(*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (-.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) (PI)) 4) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))
(*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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)
(acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ (- 1 (* 5 (* v v))) (- 1 (* v v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(- 1 (* 5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* 5 (* v v))
(*.f64 v (*.f64 v #s(literal 5 binary64)))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))
(*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (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 (asin (/ (- 1 (* 5 (* v v))) (+ (* 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 (* 5 (* v v))) (+ (* 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 (* 5 (* v v))) (+ (* 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)))
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
2
#s(literal 2 binary64)
(pow (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) 2)
(pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64))
(/ (/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.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 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (*.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 4 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 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 (PI.f64) #s(literal 2 binary64))) #s(literal 2 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 (PI.f64) #s(literal 2 binary64)))))
(/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.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 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 4 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 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 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.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 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)))
(/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64)
(/.f64 (*.f64 (*.f64 (PI.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 (*.f64 (PI.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)
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* 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))
(asin (/ (- 1 (* 5 (* v v))) (+ (* 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 (* 5 (* v v))) (+ (* 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 (* 5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* 5 (* v v))
(*.f64 v (*.f64 v #s(literal 5 binary64)))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
6
#s(literal 6 binary64)
(+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))
(+.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 4 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 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 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.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)))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))))
(* (* (PI) (PI)) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
16
#s(literal 16 binary64)
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)
(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))
4
#s(literal 4 binary64)
(pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2)
(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 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))
(* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2))
(*.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 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* 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 (PI.f64) #s(literal 2 binary64)))

localize1.1s (6.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy97.6%
(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 4 binary64))
✓accuracy97.6%
(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 6 binary64))
✓accuracy9.0%
(-.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)))
✓accuracy8.7%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
✓accuracy98.9%
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
✓accuracy54.6%
(-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.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)))) (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))))
✓accuracy52.8%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.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)))) (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)))) (pow.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)))) #s(literal 2 binary64)))
✓accuracy6.9%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
✓accuracy98.9%
(asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
✓accuracy8.7%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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)))
✓accuracy6.9%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy99.8%
(*.f64 #s(literal 5 binary64) (*.f64 v v))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy98.4%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy6.9%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))
✓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)))))
Results
578.0ms123×2valid
335.0ms130×1valid
2.0ms3×0valid
Compiler

Compiled 1066 to 53 computations (95% saved)

Precisions
Click to see histograms. Total time spent on operations: 376.0ms
ival-div: 73.0ms (19.4% of total)
backward-pass: 72.0ms (19.2% of total)
ival-acos: 67.0ms (17.8% of total)
ival-pow: 54.0ms (14.4% of total)
ival-mult: 42.0ms (11.2% of total)
ival-sub: 27.0ms (7.2% of total)
ival-asin: 16.0ms (4.3% of total)
ival-add: 12.0ms (3.2% of total)
ival-cbrt: 6.0ms (1.6% of total)
ival-pi: 4.0ms (1.1% of total)
const: 3.0ms (0.8% of total)

series38.0ms (0.2%)

Counts
24 → 216
Calls
Call 1
Inputs
#<alt (- (PI) (acos (- 1 (* v (* v 4)))))>
#<alt (PI)>
#<alt (acos (- 1 (* v (* v 4))))>
#<alt (- 1 (* v (* v 4)))>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (- (cbrt (* (PI) (* (PI) (PI)))) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))>
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))>
#<alt (/ (* (PI) (PI)) 4)>
#<alt (* (PI) (PI))>
#<alt (/ (- (* (/ (* (PI) (PI)) 4) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))) (* (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))) (pow (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) 2))>
#<alt (- (* (/ (* (PI) (PI)) 4) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))) (* (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))>
#<alt (* (/ (* (PI) (PI)) 4) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))>
#<alt (/ (/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))>
#<alt (/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2)))>
#<alt (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6))>
#<alt (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64)>
#<alt (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))>
#<alt (* 5 (* v v))>
#<alt (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))>
#<alt (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))))>
#<alt (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)>
Outputs
#<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 (- (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 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 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))>
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) 2))>
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) 2))>
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) 2))>
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) 2))>
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) 2))>
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) 2))>
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) 2))>
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) 2))>
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) 2))>
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) 2))>
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) 2))>
#<alt (/ (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) 2))>
#<alt (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (- (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))) (* (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))))>
#<alt (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))))>
#<alt (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))))>
#<alt (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))))>
#<alt (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))))>
#<alt (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))))>
#<alt (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))))>
#<alt (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))))>
#<alt (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))))>
#<alt (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))))>
#<alt (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))))>
#<alt (* 1/4 (* (pow (PI) 2) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<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 (* 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 (+ (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 (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)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
Calls

54 calls:

TimeVariablePointExpression
13.0ms
v
@inf
(/ (- (* (/ (* (PI) (PI)) 4) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))) (* (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))) (pow (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) 2))
7.0ms
v
@inf
(/ (/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
5.0ms
v
@0
(/ (/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
2.0ms
v
@0
(/ (- (* (/ (* (PI) (PI)) 4) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))) (* (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))) (pow (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) 2))
1.0ms
v
@inf
(- 1 (* v (* v 4)))

rewrite483.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
2872×*-lowering-*.f32
2872×*-lowering-*.f64
1802×fmsub-define
1802×fmm-def
1736×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052283
1424262
23865236
08287236
Stop Event
1×iter limit
1×node limit
Counts
24 → 1072
Calls
Call 1
Inputs
(- (PI) (acos (- 1 (* v (* v 4)))))
(PI)
(acos (- 1 (* v (* v 4))))
(- 1 (* v (* v 4)))
(cbrt (* (PI) (* (PI) (PI))))
(- (cbrt (* (PI) (* (PI) (PI)))) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))
(* (PI) (* (PI) (PI)))
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(/ (- (* (/ (* (PI) (PI)) 4) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))) (* (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))) (pow (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) 2))
(- (* (/ (* (PI) (PI)) 4) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))) (* (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))
(* (/ (* (PI) (PI)) 4) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))
(/ (/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
(/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2)))
(- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6))
(/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64)
(acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))
(* 5 (* v v))
(asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))
(+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))))
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)
Outputs
(+.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))))
(+.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))) (PI.f64))
(+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.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 (*.f64 v v) #s(literal -4 binary64)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (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 (*.f64 v v) #s(literal -4 binary64)))))))) (/.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (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 (*.f64 v v) #s(literal -4 binary64)))))))))
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(/.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 (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))))) (+.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 (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 (*.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)) (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 (*.f64 v v) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 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)))) (neg.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))))))
(/.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 (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))))))
(/.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 (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 (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 #s(literal 2 binary64) (PI.f64))))))
(/.f64 (neg.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)))) (neg.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 (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)))))))
(/.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 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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)) (*.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 (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) (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 (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 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #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.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 1 binary64))
(pow.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)) #s(literal 1/2 binary64))
(pow.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)))) (-.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 (PI.f64) #s(literal 2 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)))) #s(literal -1 binary64))
(pow.f64 (/.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)))) (-.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)))) #s(literal -1 binary64))
(pow.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 1/2 binary64)) #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 (*.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 (*.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 #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 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 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 (PI.f64) #s(literal 2 binary64)))))))
(*.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 1/2 binary64)) (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 1/2 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 (*.f64 v v) #s(literal -1 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 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.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))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.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)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.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 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.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 1 binary64)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.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)) #s(literal 2 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))
(pow.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)) #s(literal 3 binary64))
(pow.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 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.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.f64 (*.f64 (exp.f64 (log.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)))))) (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))) #s(literal 2 binary64))
(pow.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 2 binary64)) (exp.f64 (log.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 (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)) (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)))
(*.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 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 (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.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)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.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)))))))
(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 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.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)))
(exp.f64 (*.f64 (*.f64 (log.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 1 binary64)) #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 4 binary64))
(pow.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)) #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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.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 (exp.f64 (log.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)))))) (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))
(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)))) (exp.f64 (log.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 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 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 2 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 (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.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))

simplify272.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
3742×*-lowering-*.f32
3742×*-lowering-*.f64
1912×sum4-define
1216×sum3-define
1136×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0585486
11484518
24174230
314044230
448214230
082514230
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(- (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))
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(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))))
(* 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))
(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)))
(+ (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)))
(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)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
Outputs
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
1
#s(literal 1 binary64)
(+ 1 (* -4 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))
(+ 1 (* -4 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))
(+ 1 (* -4 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))
(* -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 #s(literal 4 binary64) (*.f64 v v)))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))
(* -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 #s(literal 4 binary64) (*.f64 v v)))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.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 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
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(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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
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(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
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(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
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(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
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(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
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(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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))

eval559.0ms (3.1%)

Compiler

Compiled 203115 to 7071 computations (96.5% saved)

prune447.0ms (2.5%)

Pruning

28 alts after pruning (21 fresh and 7 done)

PrunedKeptTotal
New2743152758
Fresh4610
Picked235
Done044
Total2749282777
Accuracy
99.1%
Counts
2777 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 4 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
2.6%
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2.6%
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 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))))) (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 6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 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))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
2.6%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (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 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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (*.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)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
2.6%
(/.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 64 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 (*.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (*.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)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
2.6%
(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 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 (*.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (*.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)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
1.9%
(/.f64 (/.f64 (-.f64 (pow.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 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.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 2 binary64)) (-.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)))))) #s(literal 2 binary64))) (-.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 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.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 2 binary64)) (-.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)))))))) (pow.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)))) #s(literal 2 binary64)))
▶2.6%
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.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 4096 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 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 12 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 (*.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (*.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)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
▶2.6%
(/.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (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 4 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 #s(literal 0 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))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
2.6%
(/.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 #s(literal 5 binary64) (*.f64 v v))) (+.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (*.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)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (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))))))
▶2.0%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.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))) (+.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
2.0%
(/.f64 (/.f64 (+.f64 (pow.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 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)) (pow.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 2 binary64)) (-.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)))))) #s(literal 3 binary64))) (+.f64 (pow.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 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (pow.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 2 binary64)) (-.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)))))) #s(literal 2 binary64)) (*.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 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.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 2 binary64)) (-.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)))))))))) (pow.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)))) #s(literal 2 binary64)))
1.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (/.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 #s(literal 5 binary64) (*.f64 v v))) (+.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.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)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
1.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (/.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.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)))) (/.f64 (PI.f64) #s(literal 2 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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))))
1.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (-.f64 (PI.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))))))
✓1.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
1.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
1.9%
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #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))))) #s(literal -1 binary64))) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
▶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))))))
1.9%
(-.f64 (/.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 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.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 (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 (acos.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 (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)))))
96.0%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
▶96.6%
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.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)))))
✓97.5%
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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)))))
✓98.6%
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
✓98.9%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
✓98.6%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓98.7%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))
✓97.9%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 3807 to 1384 computations (63.6% saved)

simplify314.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.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 4096 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 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 12 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)))))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.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 4096 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 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 12 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 (*.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (*.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)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.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 4096 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 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 12 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 (*.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (*.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)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
✓cost-diff128
(+.f64 (+.f64 (/.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (*.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)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 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)) (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 6 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (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 4 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 #s(literal 0 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))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
✓cost-diff128
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 #s(literal 0 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))))
✓cost-diff128
(-.f64 (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 4 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 #s(literal 0 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)))))
✓cost-diff128
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (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 4 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 #s(literal 0 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))))))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64))
✓cost-diff0
(-.f64 (/.f64 (*.f64 (PI.f64) (*.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)))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.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))) (+.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 (*.f64 (PI.f64) (*.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))) (+.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)))
✓cost-diff0
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.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)))))
✓cost-diff6656
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓cost-diff6656
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
✓cost-diff0
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 1/6 binary64))
✓cost-diff0
(-.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))))))
Rules
3266×*-lowering-*.f32
3266×*-lowering-*.f64
2354×fnmadd-define
1936×/-lowering-/.f32
1936×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0831496
12231369
26451350
324481345
473951345
087551345
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (pow (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 1/6) (acos (- 1 (* v (* v 4)))))
(pow (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 1/6)
(* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))
(PI)
(* (PI) (* (PI) (* (PI) (* (PI) (PI)))))
(* (PI) (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
1/6
(acos (- 1 (* v (* v 4))))
(- 1 (* v (* v 4)))
1
(* v (* v 4))
v
(* v 4)
4
(- (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))
(cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI))))
(* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))
(PI)
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
(acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))
(/ (- 1 (* 5 (* v v))) (- 1 (* v v)))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(- 1 (* v v))
(/ (/ (- (/ (* (PI) (* (PI) (* (PI) (PI)))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
(/ (- (/ (* (PI) (* (PI) (* (PI) (PI)))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)))
(- (/ (* (PI) (* (PI) (* (PI) (PI)))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4))
(/ (* (PI) (* (PI) (* (PI) (PI)))) 16)
(* (PI) (* (PI) (* (PI) (PI))))
(PI)
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
16
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4)
(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
4
(+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(/ (* (PI) (PI)) 4)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
2
(+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))))
(/ (PI) 2)
(asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))
(/ (- 1 (* 5 (* v v))) (+ (* v v) -1))
(- 1 (* 5 (* v v)))
(* 5 (* v v))
5
(/ (/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4) (* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
(/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4) (* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))))))
(- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6))
(/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64)
(* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
64
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)
(asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))
(/ (- 1 (* 5 (* v v))) (+ (* v v) -1))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(+ (* v v) -1)
-1
6
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4) (* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
16
(- (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4) (* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))))
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)
4
(* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))
(/ (* (PI) (PI)) 4)
(- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))
0
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)
2
(+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))))
(/ (PI) 2)
(/ (/ (- (/ (/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))) (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)))) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
(/ (- (/ (/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))) (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)))) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2)))
(- (/ (/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))) (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))))
(/ (/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)))
(/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096)
(* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))))
(* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))
(PI)
(* (PI) (* (PI) (* (PI) (* (PI) (PI)))))
(* (PI) (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
4096
(+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))
(/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64)
64
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)
(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
6
(/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)))
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12)
12
(+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
16
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)
(asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))
(/ (- 1 (* 5 (* v v))) (+ (* v v) -1))
(- 1 (* 5 (* v v)))
(* 5 (* v v))
5
4
(pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2)
(* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2))
(/ (PI) 2)
2
(+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))))
Outputs
(- (pow (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 1/6) (acos (- 1 (* v (* v 4)))))
(-.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))))))
(pow (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 1/6)
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 1/6 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.f64)
(* (PI) (* (PI) (* (PI) (* (PI) (PI)))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* (PI) (* (PI) (* (PI) (PI))))
(*.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.f64) (PI.f64))
1/6
#s(literal 1/6 binary64)
(acos (- 1 (* v (* v 4))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))
(- 1 (* v (* v 4)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))
1
#s(literal 1 binary64)
(* v (* v 4))
(*.f64 v (*.f64 v #s(literal 4 binary64)))
v
(* v 4)
(*.f64 v #s(literal 4 binary64))
4
#s(literal 4 binary64)
(- (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI))))
(PI.f64)
(* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (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))
(acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ (- 1 (* 5 (* v v))) (- 1 (* v v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(- 1 (* 5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* 5 (* v v))
(*.f64 v (*.f64 v #s(literal 5 binary64)))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (/ (- (/ (* (PI) (* (PI) (* (PI) (PI)))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.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))) (*.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) (* (PI) (* (PI) (PI)))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.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))) (+.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) (* (PI) (* (PI) (PI)))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.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)))
(/ (* (PI) (* (PI) (* (PI) (PI)))) 16)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64))
(* (PI) (* (PI) (* (PI) (PI))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(PI)
(PI.f64)
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
16
#s(literal 16 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4)
(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))
(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)
4
#s(literal 4 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 v (*.f64 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))
(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))
2
#s(literal 2 binary64)
(+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* 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 (* 5 (* v v))) (+ (* 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 (* 5 (* v v))) (+ (* 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 (* 5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* 5 (* v v))
(*.f64 v (*.f64 v #s(literal 5 binary64)))
5
#s(literal 5 binary64)
(/ (/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4) (* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
(/.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 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 4 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 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)) #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))))))
(/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4) (* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))))))
(/.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 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 4 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 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)) #s(literal -4 binary64))))))
(- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6))
(-.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 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 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)
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* 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))
(asin (/ (- 1 (* 5 (* v v))) (+ (* 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 (* 5 (* v v))) (+ (* 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 (* 5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* 5 (* v v))
(*.f64 v (*.f64 v #s(literal 5 binary64)))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
6
#s(literal 6 binary64)
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4) (* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))))
(+.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 4 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 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)) #s(literal -4 binary64)))))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64))
(* (* (PI) (PI)) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
16
#s(literal 16 binary64)
(- (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4) (* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))))
(+.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 4 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)))
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)
(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))
4
#s(literal 4 binary64)
(* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))
(-.f64 #s(literal 0 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)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* 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 (* 5 (* v v))) (+ (* 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))
2
#s(literal 2 binary64)
(+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* 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))
(/ (/ (- (/ (/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))) (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)))) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.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 4096 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 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 12 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 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 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 4 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 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)) #s(literal -4 binary64))))))
(/ (- (/ (/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))) (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)))) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2)))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.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 4096 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 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 12 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 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 4 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 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)) #s(literal -4 binary64))))))
(- (/ (/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))) (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))))
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.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 4096 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 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 12 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 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)))))
(/ (/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.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 4096 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 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))))
(/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.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 4096 binary64)))
(* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.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)))))))))
(* (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.f64)
(* (PI) (* (PI) (* (PI) (* (PI) (PI)))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* (PI) (* (PI) (* (PI) (PI))))
(*.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.f64) (PI.f64))
4096
#s(literal 4096 binary64)
(+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))
(+.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 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 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))
64
#s(literal 64 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))
(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)
6
#s(literal 6 binary64)
(/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)))
(/.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 12 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 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))))
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12)
(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 12 binary64))
12
#s(literal 12 binary64)
(+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))
(+.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 4 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 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)) #s(literal -4 binary64)))))
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.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)))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64))
(* (* (PI) (PI)) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
16
#s(literal 16 binary64)
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)
(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))
(asin (/ (- 1 (* 5 (* v v))) (+ (* 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 (* 5 (* v v))) (+ (* 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 (* 5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* 5 (* v v))
(*.f64 v (*.f64 v #s(literal 5 binary64)))
5
#s(literal 5 binary64)
4
#s(literal 4 binary64)
(pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2)
(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))
(* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2))
(*.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) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* 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)))))

localize1.9s (10.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy97.6%
(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))
✓accuracy96.5%
(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 12 binary64))
✓accuracy9.2%
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.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 4096 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 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 12 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)))))
✓accuracy8.7%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
✓accuracy97.6%
(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 4 binary64))
✓accuracy97.6%
(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 6 binary64))
✓accuracy9.0%
(-.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)))
✓accuracy8.7%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy97.6%
(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 4 binary64))
✓accuracy9.0%
(-.f64 (/.f64 (*.f64 (PI.f64) (*.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)))
✓accuracy8.7%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy98.4%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))))
✓accuracy98.4%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy6.9%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy100.0%
(-.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))))))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy6.9%
(acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
Results
977.0ms123×2valid
534.0ms130×1valid
4.0ms3×0valid
Compiler

Compiled 2040 to 84 computations (95.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 643.0ms
backward-pass: 168.0ms (26.1% of total)
ival-div: 113.0ms (17.6% of total)
ival-pow: 100.0ms (15.5% of total)
ival-acos: 73.0ms (11.3% of total)
ival-mult: 66.0ms (10.3% of total)
ival-asin: 36.0ms (5.6% of total)
ival-sub: 33.0ms (5.1% of total)
ival-add: 27.0ms (4.2% of total)
...c/correct-round.rkt:119:19: 9.0ms (1.4% of total)
ival-cbrt: 9.0ms (1.4% of total)
const: 4.0ms (0.6% of total)
ival-pi: 4.0ms (0.6% of total)

series128.0ms (0.7%)

Counts
31 → 264
Calls
Call 1
Inputs
#<alt (- (pow (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 1/6) (acos (- 1 (* v (* v 4)))))>
#<alt (pow (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 1/6)>
#<alt (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))>
#<alt (PI)>
#<alt (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI))))>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (- (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))>
#<alt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))>
#<alt (/ (/ (- (/ (* (PI) (* (PI) (* (PI) (PI)))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))>
#<alt (/ (- (/ (* (PI) (* (PI) (* (PI) (PI)))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)))>
#<alt (- (/ (* (PI) (* (PI) (* (PI) (PI)))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4))>
#<alt (/ (* (PI) (* (PI) (* (PI) (PI)))) 16)>
#<alt (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4) (* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))))>
#<alt (- (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4) (* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))))>
#<alt (* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))>
#<alt (/ (/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4) (* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))>
#<alt (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))>
#<alt (/ (/ (- (/ (/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))) (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)))) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))>
#<alt (/ (- (/ (/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))) (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)))) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2)))>
#<alt (- (/ (/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))) (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))))>
#<alt (acos (- 1 (* v (* v 4))))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* (PI) (* (PI) (* (PI) (PI))))>
#<alt (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))>
#<alt (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))))>
#<alt (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4)>
#<alt (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6))>
#<alt (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)>
#<alt (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12)>
#<alt (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)>
Outputs
#<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 (- (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 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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 (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))>
#<alt (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))>
#<alt (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))>
#<alt (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))>
#<alt (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))>
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#<alt (/ (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (/ (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))))>
#<alt (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6))))>
#<alt (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6))))>
#<alt (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6))))>
#<alt (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6))))>
#<alt (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))))>
#<alt (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))))>
#<alt (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))))>
#<alt (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))))>
#<alt (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))))>
#<alt (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))))>
#<alt (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))))>
#<alt (- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))))>
#<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 (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 (+ (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 (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (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)>
#<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))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<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

66 calls:

TimeVariablePointExpression
57.0ms
v
@0
(- (pow (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 1/6) (acos (- 1 (* v (* v 4)))))
21.0ms
v
@inf
(/ (/ (- (/ (/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))) (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)))) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
9.0ms
v
@0
(/ (/ (- (/ (* (PI) (* (PI) (* (PI) (PI)))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
5.0ms
v
@0
(/ (/ (- (/ (/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))) (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)))) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
2.0ms
v
@inf
(/ (/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4) (* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))

rewrite555.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
3622×*-lowering-*.f32
3622×*-lowering-*.f64
2680×/-lowering-/.f32
2680×/-lowering-/.f64
1670×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083538
1668376
26232366
08239366
Stop Event
1×iter limit
1×node limit
Counts
31 → 1146
Calls
Call 1
Inputs
(- (pow (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 1/6) (acos (- 1 (* v (* v 4)))))
(pow (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 1/6)
(* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))
(PI)
(cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI))))
(cbrt (* (PI) (* (PI) (PI))))
(- (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))) (acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v)))))
(* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))
(/ (/ (- (/ (* (PI) (* (PI) (* (PI) (PI)))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
(/ (- (/ (* (PI) (* (PI) (* (PI) (PI)))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)))
(- (/ (* (PI) (* (PI) (* (PI) (PI)))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4))
(/ (* (PI) (* (PI) (* (PI) (PI)))) 16)
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4) (* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))))
(- (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4) (* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2))))
(* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))
(/ (/ (- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4) (* (/ (* (PI) (PI)) 4) (- 0 (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 2)))))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
(+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))
(/ (/ (- (/ (/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))) (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)))) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2))) (+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1)))))
(/ (- (/ (/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))) (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)))) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)) (pow (* (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) (/ (PI) 2)) 2)))
(- (/ (/ (* (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI))))))) 4096) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))) (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12) (+ (/ (* (PI) (* (PI) (* (PI) (* (PI) (* (PI) (PI)))))) 64) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6))))
(acos (- 1 (* v (* v 4))))
(* (PI) (* (PI) (PI)))
(* (PI) (* (PI) (* (PI) (PI))))
(acos (/ (- 1 (* 5 (* v v))) (- 1 (* v v))))
(+ (/ (PI) 2) (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))))
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 4)
(- (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6))
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 6)
(pow (asin (/ (- 1 (* 5 (* v v))) (+ (* v v) -1))) 4)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 12)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 6)
Outputs
(+.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))))
(+.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))) (PI.f64))
(+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.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 (*.f64 v v) #s(literal -4 binary64)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (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 (*.f64 v v) #s(literal -4 binary64)))))))) (/.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (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 (*.f64 v v) #s(literal -4 binary64)))))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))) (/.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (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 (*.f64 v v) #s(literal -4 binary64))))))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (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 (*.f64 v v) #s(literal -4 binary64))))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) #s(literal 2 binary64))) (+.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (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 (*.f64 v v) #s(literal -4 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))))
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))) (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))))) (-.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))))
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (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 (*.f64 v v) #s(literal -4 binary64)))))))))
(*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/12 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 1/6 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)))
(pow.f64 (PI.f64) #s(literal 6 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/12 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
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(*.f64 (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 6 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 6 binary64)))
(*.f64 (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)) (*.f64 (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.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 6 binary64))))
(*.f64 (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 8 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 4 binary64)))
(*.f64 (pow.f64 (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 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (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 4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (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 6 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 3 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 3 binary64)))
(exp.f64 (*.f64 #s(literal 6 binary64) (log.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)))))))
(exp.f64 (*.f64 (log.f64 (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))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.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.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 6 binary64))
(pow.f64 (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)) #s(literal 3 binary64))
(pow.f64 (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)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.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 6 binary64))
(*.f64 (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 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)))
(*.f64 (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)) (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 4 binary64)))
(*.f64 (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.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)))
(*.f64 (pow.f64 (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)) #s(literal 3/2 binary64)) (pow.f64 (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)) #s(literal 3/2 binary64)))

simplify306.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
3360×*-lowering-*.f32
3360×*-lowering-*.f64
2064×sum5-define
1798×sum3-define
1470×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0869900
12538172
25908064
318478064
468418064
083658064
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(- (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)))))
(- (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)))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (+ (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (+ (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (+ (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (+ (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (+ (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (+ (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (+ (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (+ (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (+ (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (+ (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (+ (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (+ (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4) (* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))))
(- (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 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)))
(* -1/4 (* (pow (PI) 2) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
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(- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6))))
(- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))))
(- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))))
(- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))))
(- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))))
(- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))))
(- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))))
(- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))))
(- (* 1/4096 (/ (pow (PI) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)))) (/ (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12) (+ (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))))
(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 (* 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))))
(+ (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)))
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(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))
(- (* 1/64 (pow (PI) 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)
(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))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(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 (* 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)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
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(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.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 v (*.f64 v #s(literal 5 binary64)))) (-.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 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
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(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.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 v (*.f64 v #s(literal 5 binary64)))) (-.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 v (*.f64 v #s(literal 5 binary64)))) (-.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 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
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(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.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 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.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 4 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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 (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 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.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 4 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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 (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 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.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 4 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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 (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 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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))))
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(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)
(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 12 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)
(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 12 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)
(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 12 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)
(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 12 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(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 12 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(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 12 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(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 12 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(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 12 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(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 12 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(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 12 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(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 12 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(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 12 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))

eval1.2s (6.8%)

Compiler

Compiled 454513 to 13828 computations (97% saved)

prune617.0ms (3.5%)

Pruning

28 alts after pruning (19 fresh and 9 done)

PrunedKeptTotal
New3757103767
Fresh7916
Picked325
Done077
Total3767283795
Accuracy
99.1%
Counts
3795 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 4 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
2.6%
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (/.f64 #s(literal 1/64 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 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))))) (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 6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 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))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
2.6%
(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (-.f64 #s(literal 0 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 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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (*.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)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
5.1%
(/.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 #s(literal 0 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 4 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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
2.0%
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 256 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 8 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 4 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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
2.0%
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 256 binary64)) (*.f64 (-.f64 #s(literal 0 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 4 binary64))) (-.f64 #s(literal 0 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 4 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (-.f64 #s(literal 0 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 4 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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
1.9%
(/.f64 (/.f64 (-.f64 (pow.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 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.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 2 binary64)) (-.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)))))) #s(literal 2 binary64))) (-.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 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.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 2 binary64)) (-.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)))))))) (pow.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)))) #s(literal 2 binary64)))
2.7%
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.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 4096 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 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 12 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))))) (/.f64 (-.f64 (pow.f64 (+.f64 (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 4 binary64)) (pow.f64 (/.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)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 256 binary64))) (-.f64 (+.f64 (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 4 binary64)) (pow.f64 (/.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)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
2.6%
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.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 4096 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 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 12 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))))) (+.f64 (pow.f64 (/.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)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 4 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
2.6%
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.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 4096 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 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 12 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 (*.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (*.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)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (PI.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))))))
2.0%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.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))) (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
1.9%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.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))) (+.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 (PI.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))))))
2.0%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 256 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 8 binary64))) (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 4 binary64)))))
1.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (/.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 #s(literal 5 binary64) (*.f64 v v))) (+.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.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)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
1.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (/.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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.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)))) (/.f64 (PI.f64) #s(literal 2 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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))))
1.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (-.f64 (PI.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))))))
✓1.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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))) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
1.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
1.9%
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #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))))) #s(literal -1 binary64))) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
✓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))))))
96.0%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
✓96.6%
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.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)))))
✓97.5%
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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)))))
✓98.6%
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
✓98.9%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
✓98.6%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓98.7%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))
✓97.9%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 5831 to 1033 computations (82.3% saved)

regimes53.0ms (0.3%)

Counts
47 → 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 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(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 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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)))))
(-.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 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.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)))))
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(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (/.f64 #s(literal 1/64 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 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))))) (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 6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 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))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.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 4096 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 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 12 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))))) (/.f64 (-.f64 (pow.f64 (+.f64 (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 4 binary64)) (pow.f64 (/.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)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 256 binary64))) (-.f64 (+.f64 (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 4 binary64)) (pow.f64 (/.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)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/.f64 (/.f64 (+.f64 (pow.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 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)) (pow.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 2 binary64)) (-.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)))))) #s(literal 3 binary64))) (+.f64 (pow.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 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (pow.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 2 binary64)) (-.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)))))) #s(literal 2 binary64)) (*.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 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.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 2 binary64)) (-.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)))))))))) (pow.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)))) #s(literal 2 binary64)))
Outputs
(-.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)))))
Calls

4 calls:

14.0ms
v
12.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
12.0ms
(*.f64 v v)
10.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.9%1v
98.9%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.9%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.9%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes8.0ms (0%)

Counts
5 → 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 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Outputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Calls

4 calls:

2.0ms
v
2.0ms
(*.f64 v v)
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
2.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.9%1v
98.9%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.9%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.9%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes4.0ms (0%)

Counts
4 → 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 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))
Outputs
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))
Calls

2 calls:

2.0ms
v
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.7%1v
98.7%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

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%)

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%)

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
97.9%1v
Compiler

Compiled 2 to 1 computations (50% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
38×+-commutative_binary64
34×*-commutative_binary64
32×sub-neg_binary64
20×neg-sub0_binary64
20×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03164
16464
29664
312264
413364
513664
613764
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.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)))))
(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 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(-.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 (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)))))
(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 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(-.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))

soundness914.0ms (5.1%)

Rules
4532×*-lowering-*.f32
4532×*-lowering-*.f64
3504×/-lowering-/.f32
3504×/-lowering-/.f64
3288×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0935
16735
254432
3750132
0805532
0772443
12162020
25581914
316261914
452581914
083081914
037461
1106356
2304354
3836354
42205353
56329353
08346353
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 137 to 83 computations (39.4% saved)

preprocess38.0ms (0.2%)

Remove

(abs v)

Compiler

Compiled 228 to 124 computations (45.6% saved)

end0.0ms (0%)

Profiling

Loading profile data...