Falkner and Boettcher, Appendix B, 1

Time bar (total: 19.1s)

analyze530.0ms (2.8%)

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: 221.0ms
ival-mult: 87.0ms (39.4% of total)
ival-acos: 49.0ms (22.2% of total)
ival-sub: 45.0ms (20.4% of total)
ival-div: 31.0ms (14% of total)
const: 6.0ms (2.7% of total)
backward-pass: 2.0ms (0.9% of total)

sample4.6s (24.2%)

Results
2.0s3776×3valid
704.0ms8354×0invalid
665.0ms2011×2valid
450.0ms2272×1valid
17.0ms197×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.8s
ival-mult: 900.0ms (31.9% of total)
ival-acos: 567.0ms (20.1% of total)
ival-sub: 488.0ms (17.3% of total)
ival-div: 438.0ms (15.5% of total)
backward-pass: 371.0ms (13.2% of total)
const: 54.0ms (1.9% of total)
Bogosity

preprocess208.0ms (1.1%)

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)

explain335.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
13237(1.9700736428870323e-137)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
176.0ms226×3valid
56.0ms116×2valid
38.0ms146×1valid
4.0ms24×0valid
Compiler

Compiled 119 to 29 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-mult: 31.0ms (24.5% of total)
ival-acos: 31.0ms (24.5% of total)
backward-pass: 30.0ms (23.7% of total)
ival-div: 16.0ms (12.6% of total)
ival-sub: 16.0ms (12.6% of total)
const: 3.0ms (2.4% 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
▶98.7%
(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)

simplify219.0ms (1.2%)

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))

localize145.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.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 #s(literal 5 binary64) (*.f64 v v)))
✓accuracy99.7%
(*.f64 #s(literal 5 binary64) (*.f64 v v))
✓accuracy98.7%
(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
74.0ms113×3valid
26.0ms58×2valid
25.0ms73×1valid
1.0ms12×0valid
Compiler

Compiled 52 to 10 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
backward-pass: 14.0ms (23.8% of total)
ival-mult: 14.0ms (23.8% of total)
ival-acos: 14.0ms (23.8% of total)
ival-sub: 9.0ms (15.3% of total)
ival-div: 7.0ms (11.9% of total)
const: 1.0ms (1.7% of total)

series3.0ms (0%)

Counts
4 → 48
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))>
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))>
Calls

12 calls:

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

rewrite323.0ms (1.7%)

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
0933
16733
254230
3749230
0803130
Stop Event
1×iter limit
1×node limit
Counts
4 → 316
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))
Outputs
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(+.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/.f64 (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))))
(/.f64 (neg.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)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (/.f64 (*.f64 (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 (*.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 (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))))
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 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 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)))))) (*.f64 (/.f64 (*.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 (*.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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 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 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))) (*.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 (*.f64 v v) #s(literal -5 binary64)))) (/.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 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 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 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 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) #s(literal -5 binary64))))) (+.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 (*.f64 v v) #s(literal -5 binary64))))) (+.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 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #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 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 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 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))))) #s(literal 1 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 (*.f64 v v) #s(literal -5 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 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 (*.f64 v v) #s(literal -5 binary64)))))
(*.f64 (/.f64 #s(literal 1 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 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) #s(literal -5 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 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 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 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 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 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 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.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 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(neg.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 #s(literal 5 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(*.f64 v (*.f64 #s(literal 5 binary64) v))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(*.f64 #s(literal -5 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(*.f64 (*.f64 #s(literal 5 binary64) v) v)
(*.f64 (*.f64 #s(literal 5 binary64) v) (neg.f64 (-.f64 #s(literal 0 binary64) v)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal -5 binary64))
(*.f64 (*.f64 v #s(literal -5 binary64)) (-.f64 #s(literal 0 binary64) v))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v))) #s(literal 5 binary64))
(*.f64 (neg.f64 (*.f64 v #s(literal -5 binary64))) v)

simplify388.0ms (2%)

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
037425
1106332
2304330
3836330
42205329
56329329
08346329
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
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))
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))

eval47.0ms (0.2%)

Compiler

Compiled 12501 to 1244 computations (90% saved)

prune39.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3604364
Fresh000
Picked011
Done000
Total3605365
Accuracy
98.8%
Counts
365 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
▶98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
✓98.7%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
▶97.4%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
▶96.3%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 136 to 66 computations (51.5% saved)

simplify257.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 13 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 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
✓cost-diff0
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
✓cost-diff0
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
✓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))
Rules
2420×*-lowering-*.f32
2420×*-lowering-*.f64
2182×fnmadd-define
2044×fma-lowering-fma.f32
2044×fma-lowering-fma.f64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
034454
177422
2160421
3315421
4711421
51453418
62762409
75547409
08141409
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(acos -1)
-1
(acos (+ -1 (* (* v v) 4)))
(+ -1 (* (* v v) 4))
-1
(* (* v v) 4)
(* v v)
v
4
(/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))))
1
(/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)))
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
2
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
8
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
3
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
2
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
Outputs
(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 (*.f64 v v) #s(literal 4 binary64))))
(+ -1 (* (* v v) 4))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
-1
#s(literal -1 binary64)
(* (* v v) 4)
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* v v)
(*.f64 v v)
v
4
#s(literal 4 binary64)
(/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))))
(/.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 v (*.f64 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 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))))
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #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)
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.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) -5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (* v v) -5)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 #s(literal -1 binary64) (*.f64 v v))
-1
#s(literal -1 binary64)
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
8
#s(literal 8 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.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) -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 #s(literal -1 binary64) (*.f64 v v))
-1
#s(literal -1 binary64)
2
#s(literal 2 binary64)
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))

localize598.0ms (3.1%)

Localize:

Found 13 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 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
✓accuracy98.6%
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
✓accuracy10.6%
(-.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)))
✓accuracy10.5%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
✓accuracy98.5%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))
✓accuracy98.5%
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy10.5%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
✓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))
✓accuracy98.7%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓accuracy100.0%
(acos.f64 #s(literal -1 binary64))
Results
252.0ms150×1valid
241.0ms95×2valid
6.0ms11×0valid
Compiler

Compiled 532 to 35 computations (93.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 234.0ms
ival-pow: 70.0ms (29.9% of total)
backward-pass: 36.0ms (15.4% of total)
ival-div: 32.0ms (13.7% of total)
ival-mult: 32.0ms (13.7% of total)
ival-asin: 21.0ms (9% of total)
ival-acos: 16.0ms (6.8% of total)
ival-add: 15.0ms (6.4% of total)
ival-sub: 6.0ms (2.6% of total)
const: 3.0ms (1.3% of total)
ival-pi: 3.0ms (1.3% of total)

series18.0ms (0.1%)

Counts
16 → 144
Calls
Call 1
Inputs
#<alt (acos -1)>
#<alt (acos (+ -1 (* (* v v) 4)))>
#<alt (+ -1 (* (* v v) 4))>
#<alt (* (* v v) 4)>
#<alt (* v v)>
#<alt (/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))))>
#<alt (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)))>
#<alt (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))>
#<alt (/ (* (PI) (PI)) 4)>
#<alt (/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))>
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))>
#<alt (* (PI) (PI))>
#<alt (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)>
#<alt (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))>
Outputs
#<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 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (/ (- (* 1/4 (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 (+ (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))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<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

36 calls:

TimeVariablePointExpression
3.0ms
v
@0
(/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))))
3.0ms
v
@0
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
2.0ms
v
@-inf
(/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))))
2.0ms
v
@inf
(/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))))
1.0ms
v
@inf
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))

rewrite766.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
5632×*-lowering-*.f32
5632×*-lowering-*.f64
2868×/-lowering-/.f32
2868×/-lowering-/.f64
2304×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034292
1246146
22215146
010073146
Stop Event
1×iter limit
1×node limit
Counts
16 → 752
Calls
Call 1
Inputs
(acos -1)
(acos (+ -1 (* (* v v) 4)))
(+ -1 (* (* v v) 4))
(* (* v v) 4)
(* v v)
(/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))))
(/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)))
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/ (* (PI) (PI)) 4)
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(* (PI) (PI))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(* (PI) (* (PI) (PI)))
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
Outputs
(acos.f64 #s(literal -1 binary64))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(literal -1 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(literal -1 binary64))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 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 v (*.f64 v #s(literal 4 binary64)))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 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 v (*.f64 v #s(literal 4 binary64)))))))
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))
(+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))) (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 16 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
(fma.f64 (*.f64 v #s(literal 4 binary64)) v #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 16 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 64 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 64 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 16 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 16 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 64 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 16 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 16 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 64 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))))
(*.f64 v (*.f64 v #s(literal 4 binary64)))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal 4 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 v v)
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.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 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))) (*.f64 (/.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 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 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 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) #s(literal -1 binary64)))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))
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(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 (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 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
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(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) #s(literal 3/2 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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3/2 binary64))) #s(literal 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 #s(literal -1 binary64) (*.f64 v v))))) #s(literal 3/2 binary64)) #s(literal 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 #s(literal -1 binary64) (*.f64 v v))))) #s(literal 3/2 binary64)) (*.f64 (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) #s(literal 3/2 binary64))))
(/.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) #s(literal 3 binary64)))
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 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 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) #s(literal 3 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(exp.f64 (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(neg.f64 (asin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(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 1 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.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 (sqrt.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))))) (sqrt.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(*.f64 (pow.f64 (sqrt.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 1 binary64)) (pow.f64 (sqrt.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 1 binary64)))

simplify243.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
2474×*-lowering-*.f32
2474×*-lowering-*.f64
1562×sum3-define
1488×sum4-define
1448×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0533449
11432754
22752754
35842754
412602754
527392754
658722754
080072754
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(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)
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
(/ (- (* 1/4 (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))
(+ (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))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(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
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))
(- (* 4 (pow v 2)) 1)
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))
(- (* 4 (pow v 2)) 1)
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 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)
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
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(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))

eval234.0ms (1.2%)

Compiler

Compiled 103447 to 3937 computations (96.2% saved)

prune186.0ms (1%)

Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New1359211380
Fresh000
Picked134
Done011
Total1360251385
Accuracy
98.9%
Counts
1385 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.3%
(fma.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
97.3%
(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))
▶98.7%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) #s(literal -1/2 binary64))
4.9%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 v v) #s(literal -1 binary64))))))
7.4%
(/.f64 (fma.f64 (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
4.9%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
7.3%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (*.f64 (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.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 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))))
97.4%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 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 v (*.f64 v #s(literal 4 binary64)))))))))
4.4%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (+.f64 (/.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 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (-.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
✓4.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
4.4%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (*.f64 (+.f64 (/.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 #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 #s(literal -1 binary64) (*.f64 v v)))) (-.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
▶3.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 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 v (*.f64 v #s(literal 4 binary64)))))))
7.3%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (/.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 #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 (*.f64 v v) #s(literal -1 binary64))))))
97.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (/.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 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.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 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 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)))))
▶96.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.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)))))
95.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
97.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
98.7%
(/.f64 #s(literal 1 binary64) (/.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 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.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 (*.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)))))
98.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
98.7%
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.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))))
▶97.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
98.7%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) #s(literal -1 binary64)))
✓98.7%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
✓97.4%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓96.3%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 2537 to 1053 computations (58.5% saved)

simplify187.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64))
✓cost-diff0
(+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
✓cost-diff0
(/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
✓cost-diff0
(/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
✓cost-diff0
(PI.f64)
✓cost-diff64
(neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓cost-diff13696
(fma.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #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 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 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 v (*.f64 v #s(literal 4 binary64)))))))
✓cost-diff0
(asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
✓cost-diff0
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))
✓cost-diff0
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) #s(literal -1/2 binary64))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
Rules
2300×*-lowering-*.f32
2300×*-lowering-*.f64
1322×+-lowering-+.f64
1322×+-lowering-+.f32
1246×fma-lowering-fma.f32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
056742
1129687
2244685
3479685
41035683
52079677
64161652
08102652
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(pow (* (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))))) -1/2)
(* (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))
(/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))))
1
(acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))
(/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))
(+ 1 (* (* v v) -5))
(* (* v v) -5)
(* v v)
v
-5
(+ -1 (* v v))
-1
-1/2
(- (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
(/ (PI) 2)
(PI)
2
(asin (+ -1 (* v (* v 4))))
(+ -1 (* v (* v 4)))
-1
(* v (* v 4))
v
(* v 4)
4
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (+ -1 (* v (* v 4)))) 2)) (+ (/ (PI) 2) (asin (+ -1 (* v (* v 4))))))
(- (/ (* (PI) (PI)) 4) (pow (asin (+ -1 (* v (* v 4)))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (asin (+ -1 (* v (* v 4)))) 2)
(asin (+ -1 (* v (* v 4))))
(+ -1 (* v (* v 4)))
-1
(* v (* v 4))
v
(* v 4)
2
(+ (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
(/ (PI) 2)
(+ (* (PI) (/ (/ (PI) 4) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))) (neg (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))))
(PI)
(/ (/ (PI) 4) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))
(/ (PI) 4)
4
(+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2))
(asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))
(/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(+ -1 (* v v))
-1
(/ (PI) 2)
2
(neg (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2))))
(/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2)
(/ 1 (/ (+ (/ (pow (cbrt (PI)) 6) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))))
1
(/ (+ (/ (pow (cbrt (PI)) 6) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)))
(+ (/ (pow (cbrt (PI)) 6) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/ (pow (cbrt (PI)) 6) 4)
(pow (cbrt (PI)) 6)
(cbrt (PI))
(PI)
6
4
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
2
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
8
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
3
Outputs
(pow (* (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))))) -1/2)
(pow.f64 (/.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)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1/2 binary64))
(* (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))
(/.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)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))))
(/.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)))))
1
#s(literal 1 binary64)
(acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(* (* v v) -5)
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ -1 (* v v))
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
-1/2
#s(literal -1/2 binary64)
(- (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(asin (+ -1 (* v (* v 4))))
(asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(+ -1 (* v (* v 4)))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
-1
#s(literal -1 binary64)
(* v (* v 4))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
v
(* v 4)
(*.f64 v #s(literal 4 binary64))
4
#s(literal 4 binary64)
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (+ -1 (* v (* v 4)))) 2)) (+ (/ (PI) 2) (asin (+ -1 (* v (* v 4))))))
(/.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))))))
(- (/ (* (PI) (PI)) 4) (pow (asin (+ -1 (* v (* v 4)))) 2))
(-.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)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(pow (asin (+ -1 (* v (* v 4)))) 2)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 2 binary64))
(asin (+ -1 (* v (* v 4))))
(asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(+ -1 (* v (* v 4)))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
-1
#s(literal -1 binary64)
(* v (* v 4))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
v
(* v 4)
(*.f64 v #s(literal 4 binary64))
2
#s(literal 2 binary64)
(+ (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(+ (* (PI) (/ (/ (PI) 4) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))) (neg (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))))
(PI)
(PI.f64)
(/ (/ (PI) 4) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))
(/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/ (PI) 4)
(/.f64 (PI.f64) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ -1 (* v v))
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(neg (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2))))
(/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))
(/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))
(/ 1 (/ (+ (/ (pow (cbrt (PI)) 6) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -8 binary64))) (+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal -4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
1
#s(literal 1 binary64)
(/ (+ (/ (pow (cbrt (PI)) 6) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)))
(/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal -4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -8 binary64))))
(+ (/ (pow (cbrt (PI)) 6) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (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 (cbrt (PI)) 6) 4)
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64))
(pow (cbrt (PI)) 6)
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))
(cbrt (PI))
(cbrt.f64 (PI.f64))
(PI)
(PI.f64)
6
#s(literal 6 binary64)
4
#s(literal 4 binary64)
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(* (* v v) -5)
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
8
#s(literal 8 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize2.2s (11.3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))
✓accuracy99.4%
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
✓accuracy98.9%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
✓accuracy8.0%
(PI.f64)
✓accuracy99.4%
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
✓accuracy99.0%
(fma.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓accuracy98.9%
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy8.0%
(PI.f64)
✓accuracy99.4%
(asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
✓accuracy98.9%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)))
✓accuracy98.9%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
✓accuracy8.0%
(PI.f64)
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))
✓accuracy100.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
✓accuracy99.4%
(asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
✓accuracy8.0%
(PI.f64)
✓accuracy100.0%
(*.f64 (*.f64 v v) #s(literal -5 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
✓accuracy100.0%
(*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
✓accuracy99.5%
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
Results
1.9s243×5exit
7.0ms4×1valid
6.0ms7×0valid
6.0ms2×2valid
Compiler

Compiled 884 to 56 computations (93.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0s
backward-pass: 257.0ms (25.5% of total)
ival-div: 159.0ms (15.8% of total)
ival-asin: 144.0ms (14.3% of total)
ival-mult: 126.0ms (12.5% of total)
ival-pow: 115.0ms (11.4% of total)
ival-add: 75.0ms (7.5% of total)
ival-acos: 42.0ms (4.2% of total)
compiled-spec: 39.0ms (3.9% of total)
ival-sub: 24.0ms (2.4% of total)
ival-neg: 9.0ms (0.9% of total)
ival-cbrt: 7.0ms (0.7% of total)
const: 6.0ms (0.6% of total)
ival-pi: 4.0ms (0.4% of total)

series26.0ms (0.1%)

Counts
28 → 264
Calls
Call 1
Inputs
#<alt (* (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))>
#<alt (pow (* (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))))) -1/2)>
#<alt (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))))>
#<alt (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))>
#<alt (- (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))>
#<alt (/ (PI) 2)>
#<alt (PI)>
#<alt (asin (+ -1 (* v (* v 4))))>
#<alt (/ (- (/ (* (PI) (PI)) 4) (pow (asin (+ -1 (* v (* v 4)))) 2)) (+ (/ (PI) 2) (asin (+ -1 (* v (* v 4))))))>
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (+ -1 (* v (* v 4)))) 2))>
#<alt (/ (* (PI) (PI)) 4)>
#<alt (* (PI) (PI))>
#<alt (+ (* (PI) (/ (/ (PI) 4) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))) (neg (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))))>
#<alt (neg (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2))))>
#<alt (/ (/ (PI) 4) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))>
#<alt (/ 1 (/ (+ (/ (pow (cbrt (PI)) 6) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))))>
#<alt (/ (+ (/ (pow (cbrt (PI)) 6) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)))>
#<alt (+ (/ (pow (cbrt (PI)) 6) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))>
#<alt (/ (pow (cbrt (PI)) 6) 4)>
#<alt (+ 1 (* (* v v) -5))>
#<alt (* (* v v) -5)>
#<alt (+ -1 (* v (* v 4)))>
#<alt (+ (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))>
#<alt (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2))>
#<alt (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))>
#<alt (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))>
#<alt (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))>
#<alt (pow (cbrt (PI)) 6)>
Outputs
#<alt (/ 1 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
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#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))>
#<alt 1>
#<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 -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 (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (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))) (* 1/2 (PI)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 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

66 calls:

TimeVariablePointExpression
7.0ms
v
@0
(/ (/ (PI) 4) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))
2.0ms
v
@inf
(+ (* (PI) (/ (/ (PI) 4) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))) (neg (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))))
2.0ms
v
@0
(+ (* (PI) (/ (/ (PI) 4) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))) (neg (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))))
1.0ms
v
@inf
(* (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))
1.0ms
v
@inf
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (+ -1 (* v (* v 4)))) 2)) (+ (/ (PI) 2) (asin (+ -1 (* v (* v 4))))))

rewrite502.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
3564×*-lowering-*.f32
3564×*-lowering-*.f64
2004×pow-lowering-pow.f64
2004×pow-lowering-pow.f32
1578×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056334
1406275
23603275
08331275
Stop Event
1×iter limit
1×node limit
Counts
28 → 1218
Calls
Call 1
Inputs
(* (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))
(pow (* (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))))) -1/2)
(/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))))
(acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))
(- (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
(/ (PI) 2)
(PI)
(asin (+ -1 (* v (* v 4))))
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (+ -1 (* v (* v 4)))) 2)) (+ (/ (PI) 2) (asin (+ -1 (* v (* v 4))))))
(- (/ (* (PI) (PI)) 4) (pow (asin (+ -1 (* v (* v 4)))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(+ (* (PI) (/ (/ (PI) 4) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))) (neg (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))))
(neg (/ (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2))))
(/ (/ (PI) 4) (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)))
(/ 1 (/ (+ (/ (pow (cbrt (PI)) 6) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))))
(/ (+ (/ (pow (cbrt (PI)) 6) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)))
(+ (/ (pow (cbrt (PI)) 6) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/ (pow (cbrt (PI)) 6) 4)
(+ 1 (* (* v v) -5))
(* (* v v) -5)
(+ -1 (* v (* v 4)))
(+ (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
(+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2))
(asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(pow (cbrt (PI)) 6)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 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 #s(literal 0 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 #s(literal 1 binary64) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1 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 #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 #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 #s(literal 0 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 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 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))))) (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 #s(literal -1 binary64) (neg.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))))
(/.f64 (/.f64 #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))))) (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 -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 #s(literal 0 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 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal -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 (*.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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal -4 binary64))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal -2 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1 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 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 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)))))) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal 2 binary64)))
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(*.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))) (/.f64 #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 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 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 (PI.f64) #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 (*.f64 v v) #s(literal -1 binary64))))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(exp.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)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #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 (*.f64 v v) #s(literal -1 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 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))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 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))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #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 (*.f64 v v) #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 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))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #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 (*.f64 v v) #s(literal -1 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (-.f64 #s(literal 0 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))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 #s(literal 0 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))))))
(neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1 binary64))))))
(neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.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 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(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 1 binary64))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/2 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 1/2 binary64)))
(*.f64 (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 1/2 binary64)) #s(literal 1 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 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) #s(literal 6 binary64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(pow.f64 (PI.f64) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))) #s(literal 6 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 6 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)))

simplify284.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
2880×*-lowering-*.f32
2880×*-lowering-*.f64
1936×sum5-define
1704×fma-define
1616×sum4-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0785803
12014632
23694632
37264632
414674620
532354620
671144620
083904620
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(/ 1 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(/ 1 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(/ 1 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(/ 1 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(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 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 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)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (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) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (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) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))) (/ (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))
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1
(+ 1 (* -5 (pow v 2)))
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-1
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Outputs
(/ 1 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(/.f64 #s(literal 1 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)))
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(/ 1 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(/.f64 #s(literal 1 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)))
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(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))

eval485.0ms (2.5%)

Compiler

Compiled 177159 to 6863 computations (96.1% saved)

prune382.0ms (2%)

Pruning

36 alts after pruning (29 fresh and 7 done)

PrunedKeptTotal
New2850232873
Fresh10616
Picked235
Done044
Total2862362898
Accuracy
98.9%
Counts
2898 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.2%
(fma.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #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)) (-.f64 (*.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 (*.f64 v v) #s(literal -1 binary64)))))))
98.7%
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
97.3%
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶98.7%
(pow.f64 (/.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 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal -1/2 binary64))
4.3%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))) (/.f64 #s(literal 1 binary64) (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))
4.4%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (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))
▶98.7%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) #s(literal -1/2 binary64))
3.7%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 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 v (*.f64 v #s(literal 4 binary64)))))))
7.4%
(/.f64 (fma.f64 (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
4.9%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
3.7%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 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 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (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 v (*.f64 v #s(literal 4 binary64)))))))
▶7.3%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (*.f64 (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.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 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))))
97.4%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))))
✓4.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
3.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 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 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (-.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
✓3.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 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 v (*.f64 v #s(literal 4 binary64)))))))
3.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 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 #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) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (-.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
7.3%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (/.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 #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 (*.f64 v v) #s(literal -1 binary64))))))
▶3.7%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 2 binary64)))))
98.7%
(/.f64 #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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
95.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.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)))))
95.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
94.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
96.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal 3 binary64)))))
✓96.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.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)))))
93.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64))) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.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)))))
95.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
97.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
▶97.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
97.4%
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
97.4%
(-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
✓97.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
98.7%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
✓98.7%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
✓97.4%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓96.3%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 3390 to 1568 computations (53.7% saved)

simplify237.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 6 binary64)))
✓cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 2 binary64)))))
✓cost-diff128
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))
✓cost-diff256
(+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
✓cost-diff0
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64))
✓cost-diff0
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64)))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (*.f64 (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.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 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))))
✓cost-diff0
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
✓cost-diff0
(/.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 #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)))))))
✓cost-diff0
(pow.f64 (/.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 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal -1/2 binary64))
✓cost-diff128
(/.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 #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))))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
✓cost-diff0
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
✓cost-diff0
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))
✓cost-diff0
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) #s(literal -1/2 binary64))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
Rules
4508×*-lowering-*.f32
4508×*-lowering-*.f64
3662×+-lowering-+.f64
3662×+-lowering-+.f32
1256×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
072935
1184810
2441799
31312799
44322796
08276796
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(pow (* (/ 1 (acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))))) -1/2)
(* (/ 1 (acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))
(/ 1 (acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v)))))
1
(acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v))))
(/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v)))
(/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1))
(- (* (* v (* v (* v v))) 25) 1)
(* (* v (* v (* v v))) 25)
(* v (* v (* v v)))
v
(* v (* v v))
(* v v)
25
(- (* (* v v) -5) 1)
(* (* v v) -5)
-5
(+ -1 (* v v))
-1
(/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))))
(acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))
(/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))
(+ 1 (* (* v v) -5))
-1/2
(/ 1 (/ 1 (acos (+ -1 (* (* v v) 4)))))
1
(/ 1 (acos (+ -1 (* (* v v) 4))))
(acos (+ -1 (* (* v v) 4)))
(+ -1 (* (* v v) 4))
-1
(* (* v v) 4)
(* v v)
v
4
(pow (/ 1 (/ (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) -1/2)
(/ 1 (/ (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
1
(/ (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
(/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
-1/2
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 4)) (* (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2))))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 4))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
(* (PI) (PI))
(PI)
16
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 4)
(asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))
(/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(+ -1 (* v v))
-1
4
(* (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2)))
(+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2))
(/ (PI) 2)
2
(+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2))
(/ (* (PI) (PI)) 4)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2)
(/ (* (- (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64)) (pow (asin (+ -1 (* (* v v) 4))) 6)) (/ 1 (+ (/ (PI) 2) (asin (+ -1 (* (* v v) 4)))))) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* (* v v) 4))) 4)) (* (/ (PI) (/ 4 (PI))) (pow (asin (+ -1 (* (* v v) 4))) 2))))
(* (- (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64)) (pow (asin (+ -1 (* (* v v) 4))) 6)) (/ 1 (+ (/ (PI) 2) (asin (+ -1 (* (* v v) 4))))))
(- (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64)) (pow (asin (+ -1 (* (* v v) 4))) 6))
(* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
(* (* (PI) (* (PI) (PI))) 1/64)
1/64
(pow (asin (+ -1 (* (* v v) 4))) 6)
(asin (+ -1 (* (* v v) 4)))
(+ -1 (* (* v v) 4))
-1
(* (* v v) 4)
(* v v)
v
4
6
(/ 1 (+ (/ (PI) 2) (asin (+ -1 (* (* v v) 4)))))
1
(+ (/ (PI) 2) (asin (+ -1 (* (* v v) 4))))
(/ (PI) 2)
2
(+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* (* v v) 4))) 4)) (* (/ (PI) (/ 4 (PI))) (pow (asin (+ -1 (* (* v v) 4))) 2)))
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* (* v v) 4))) 4))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
16
(pow (asin (+ -1 (* (* v v) 4))) 4)
(* (/ (PI) (/ 4 (PI))) (pow (asin (+ -1 (* (* v v) 4))) 2))
(/ (PI) (/ 4 (PI)))
(/ 4 (PI))
(pow (asin (+ -1 (* (* v v) 4))) 2)
Outputs
(pow (* (/ 1 (acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))))) -1/2)
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (acos.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v (*.f64 v (*.f64 v #s(literal 25 binary64))))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1/2 binary64))
(* (/ 1 (acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))
(/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (acos.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v (*.f64 v (*.f64 v #s(literal 25 binary64))))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/ 1 (acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v)))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v (*.f64 v (*.f64 v #s(literal 25 binary64))))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
1
#s(literal 1 binary64)
(acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v))))
(acos.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v (*.f64 v (*.f64 v #s(literal 25 binary64))))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v)))
(/.f64 (+.f64 (*.f64 v (*.f64 v (*.f64 v (*.f64 v #s(literal 25 binary64))))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1))
(/.f64 (+.f64 (*.f64 v (*.f64 v (*.f64 v (*.f64 v #s(literal 25 binary64))))) #s(literal -1 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64)))
(- (* (* v (* v (* v v))) 25) 1)
(+.f64 (*.f64 v (*.f64 v (*.f64 v (*.f64 v #s(literal 25 binary64))))) #s(literal -1 binary64))
(* (* v (* v (* v v))) 25)
(*.f64 v (*.f64 v (*.f64 v (*.f64 v #s(literal 25 binary64)))))
(* v (* v (* v v)))
(*.f64 v (*.f64 v (*.f64 v v)))
v
(* v (* v v))
(*.f64 v (*.f64 v v))
(* v v)
(*.f64 v v)
25
#s(literal 25 binary64)
(- (* (* v v) -5) 1)
(+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64))
(* (* v v) -5)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
-5
#s(literal -5 binary64)
(+ -1 (* v v))
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))
(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 (* (* v v) -5)) (+ -1 (* v v)))
(/.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))))
-1/2
#s(literal -1/2 binary64)
(/ 1 (/ 1 (acos (+ -1 (* (* v v) 4)))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
1
#s(literal 1 binary64)
(/ 1 (acos (+ -1 (* (* v v) 4))))
(/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))
(acos (+ -1 (* (* v v) 4)))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(+ -1 (* (* v v) 4))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
-1
#s(literal -1 binary64)
(* (* v v) 4)
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* v v)
(*.f64 v v)
v
4
#s(literal 4 binary64)
(pow (/ 1 (/ (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) -1/2)
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1/2 binary64))
(/ 1 (/ (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (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)
(/ (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (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 (* (* v v) -5)) (+ (* 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 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (* v v) -5)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
-1/2
#s(literal -1/2 binary64)
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 4)) (* (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.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 (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))) (+.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)) (+ -1 (* v v)))) 4))
(-.f64 (*.f64 (PI.f64) (/.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 (PI.f64) (/.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.f64) (PI.f64))
(PI)
(PI.f64)
16
#s(literal 16 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 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)) (+ -1 (* v v))))
(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)) (+ -1 (* v v)))
(/.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)
(+ -1 (* v v))
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
4
#s(literal 4 binary64)
(* (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2)))
(*.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))) (+.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))))
(+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (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) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 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)) (+ -1 (* v v)))) 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))
(/ (* (- (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64)) (pow (asin (+ -1 (* (* v v) 4))) 6)) (/ 1 (+ (/ (PI) 2) (asin (+ -1 (* (* v v) 4)))))) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* (* v v) 4))) 4)) (* (/ (PI) (/ 4 (PI))) (pow (asin (+ -1 (* (* v v) 4))) 2))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) (+.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))))))
(* (- (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64)) (pow (asin (+ -1 (* (* v v) 4))) 6)) (/ 1 (+ (/ (PI) 2) (asin (+ -1 (* (* v v) 4))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 6 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(- (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64)) (pow (asin (+ -1 (* (* v v) 4))) 6))
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 6 binary64)))
(* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/64 binary64))))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(* (* (PI) (* (PI) (PI))) 1/64)
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/64 binary64))))
1/64
#s(literal 1/64 binary64)
(pow (asin (+ -1 (* (* v v) 4))) 6)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 6 binary64))
(asin (+ -1 (* (* v v) 4)))
(asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(+ -1 (* (* v v) 4))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
-1
#s(literal -1 binary64)
(* (* v v) 4)
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* v v)
(*.f64 v v)
v
4
#s(literal 4 binary64)
6
#s(literal 6 binary64)
(/ 1 (+ (/ (PI) 2) (asin (+ -1 (* (* v v) 4)))))
(/.f64 #s(literal 1 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
#s(literal 1 binary64)
(+ (/ (PI) 2) (asin (+ -1 (* (* v v) 4))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* (* v v) 4))) 4)) (* (/ (PI) (/ 4 (PI))) (pow (asin (+ -1 (* (* v v) 4))) 2)))
(+.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))))
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* (* v v) 4))) 4))
(+.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 4 binary64)))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(*.f64 (PI.f64) (/.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 (* (* v v) 4))) 4)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 4 binary64))
(* (/ (PI) (/ 4 (PI))) (pow (asin (+ -1 (* (* v v) 4))) 2))
(*.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)))
(/ (PI) (/ 4 (PI)))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
(pow (asin (+ -1 (* (* v v) 4))) 2)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 2 binary64))

localize1.8s (9.3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy97.6%
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 4 binary64))
✓accuracy97.6%
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 6 binary64))
✓accuracy10.8%
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 6 binary64)))
✓accuracy10.6%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))
✓accuracy98.4%
(*.f64 (*.f64 (PI.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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
✓accuracy10.7%
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64)))
✓accuracy10.5%
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy99.9%
(/.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 #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))))))
✓accuracy99.9%
(/.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 #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)))))))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -5 binary64))
✓accuracy98.7%
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))
✓accuracy100.0%
(*.f64 (*.f64 v v) #s(literal 4 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
✓accuracy98.7%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -5 binary64))
✓accuracy98.7%
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
✓accuracy98.7%
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
✓accuracy98.5%
(*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
Results
930.0ms112×3valid
294.0ms57×2valid
279.0ms77×1valid
11.0ms10×0valid
Compiler

Compiled 1161 to 73 computations (93.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 709.0ms
backward-pass: 157.0ms (22.2% of total)
ival-div: 141.0ms (19.9% of total)
ival-mult: 118.0ms (16.7% of total)
ival-pow: 96.0ms (13.5% of total)
ival-acos: 69.0ms (9.7% of total)
ival-asin: 48.0ms (6.8% of total)
ival-add: 36.0ms (5.1% of total)
ival-sub: 35.0ms (4.9% of total)
const: 5.0ms (0.7% of total)
ival-pi: 4.0ms (0.6% of total)

series67.0ms (0.4%)

Counts
28 → 312
Calls
Call 1
Inputs
#<alt (* (/ 1 (acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))>
#<alt (pow (* (/ 1 (acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))))) -1/2)>
#<alt (/ 1 (acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v)))))>
#<alt (acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v))))>
#<alt (/ 1 (/ 1 (acos (+ -1 (* (* v v) 4)))))>
#<alt (/ 1 (acos (+ -1 (* (* v v) 4))))>
#<alt (acos (+ -1 (* (* v v) 4)))>
#<alt (+ -1 (* (* v v) 4))>
#<alt (/ (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))>
#<alt (pow (/ 1 (/ (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) -1/2)>
#<alt (/ 1 (/ (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))>
#<alt (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))>
#<alt (/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 4)) (* (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2))))>
#<alt (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 4))>
#<alt (/ (* (* (PI) (PI)) (* (PI) (PI))) 16)>
#<alt (* (* (PI) (PI)) (* (PI) (PI)))>
#<alt (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* (* v v) 4))) 4)) (* (/ (PI) (/ 4 (PI))) (pow (asin (+ -1 (* (* v v) 4))) 2)))>
#<alt (* (- (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64)) (pow (asin (+ -1 (* (* v v) 4))) 6)) (/ 1 (+ (/ (PI) 2) (asin (+ -1 (* (* v v) 4))))))>
#<alt (/ (* (- (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64)) (pow (asin (+ -1 (* (* v v) 4))) 6)) (/ 1 (+ (/ (PI) 2) (asin (+ -1 (* (* v v) 4)))))) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* (* v v) 4))) 4)) (* (/ (PI) (/ 4 (PI))) (pow (asin (+ -1 (* (* v v) 4))) 2))))>
#<alt (- (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64)) (pow (asin (+ -1 (* (* v v) 4))) 6))>
#<alt (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))>
#<alt (* (* v v) -5)>
#<alt (* (* v v) 4)>
#<alt (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2))>
#<alt (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 4)>
#<alt (+ (/ (PI) 2) (asin (+ -1 (* (* v v) 4))))>
#<alt (pow (asin (+ -1 (* (* v v) 4))) 6)>
#<alt (pow (asin (+ -1 (* (* v v) 4))) 4)>
Outputs
#<alt (/ 1 (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))>
#<alt (/ 1 (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))>
#<alt (/ 1 (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))>
#<alt (/ 1 (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))>
#<alt (/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (sqrt (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))>
#<alt (sqrt (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))>
#<alt (sqrt (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))>
#<alt (sqrt (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))>
#<alt (sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1)))))>
#<alt (/ 1 (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1)))))>
#<alt (/ 1 (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1)))))>
#<alt (/ 1 (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1)))))>
#<alt (/ 1 (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))>
#<alt (/ 1 (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))>
#<alt (/ 1 (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))>
#<alt (/ 1 (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))>
#<alt (/ 1 (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))>
#<alt (/ 1 (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))>
#<alt (/ 1 (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))>
#<alt (/ 1 (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))>
#<alt (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (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 (acos (- (* 4 (pow v 2)) 1))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (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 (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 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)>
#<alt (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)>
#<alt (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)>
#<alt (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)>
#<alt (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)>
#<alt (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)>
#<alt (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)>
#<alt (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)>
#<alt (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)>
#<alt (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)>
#<alt (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)>
#<alt (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)>
#<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 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ 1 (pow (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<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 (/ (- (* 1/16 (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))>
#<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)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))>
#<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 (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* 4 (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 (+ (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 (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
Calls

78 calls:

TimeVariablePointExpression
35.0ms
v
@inf
(* (/ 1 (acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))
2.0ms
v
@0
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 4)) (* (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2))))
2.0ms
v
@0
(* (- (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64)) (pow (asin (+ -1 (* (* v v) 4))) 6)) (/ 1 (+ (/ (PI) 2) (asin (+ -1 (* (* v v) 4))))))
2.0ms
v
@inf
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 4)) (* (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2))))
1.0ms
v
@inf
(/ (* (- (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64)) (pow (asin (+ -1 (* (* v v) 4))) 6)) (/ 1 (+ (/ (PI) 2) (asin (+ -1 (* (* v v) 4)))))) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* (* v v) 4))) 4)) (* (/ (PI) (/ 4 (PI))) (pow (asin (+ -1 (* (* v v) 4))) 2))))

rewrite528.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
3928×*-lowering-*.f32
3928×*-lowering-*.f64
1930×pow-lowering-pow.f64
1930×pow-lowering-pow.f32
1916×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072593
1517330
24574310
08529310
Stop Event
1×iter limit
1×node limit
Counts
28 → 887
Calls
Call 1
Inputs
(* (/ 1 (acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))))
(pow (* (/ 1 (acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v))))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))))) -1/2)
(/ 1 (acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v)))))
(acos (/ (/ (- (* (* v (* v (* v v))) 25) 1) (- (* (* v v) -5) 1)) (+ -1 (* v v))))
(/ 1 (/ 1 (acos (+ -1 (* (* v v) 4)))))
(/ 1 (acos (+ -1 (* (* v v) 4))))
(acos (+ -1 (* (* v v) 4)))
(+ -1 (* (* v v) 4))
(/ (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(pow (/ 1 (/ (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))) -1/2)
(/ 1 (/ (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (/ 1 (acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(acos (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 4)) (* (+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 2))))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 4))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
(+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* (* v v) 4))) 4)) (* (/ (PI) (/ 4 (PI))) (pow (asin (+ -1 (* (* v v) 4))) 2)))
(* (- (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64)) (pow (asin (+ -1 (* (* v v) 4))) 6)) (/ 1 (+ (/ (PI) 2) (asin (+ -1 (* (* v v) 4))))))
(/ (* (- (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64)) (pow (asin (+ -1 (* (* v v) 4))) 6)) (/ 1 (+ (/ (PI) 2) (asin (+ -1 (* (* v v) 4)))))) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* (* v v) 4))) 4)) (* (/ (PI) (/ 4 (PI))) (pow (asin (+ -1 (* (* v v) 4))) 2))))
(- (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64)) (pow (asin (+ -1 (* (* v v) 4))) 6))
(acos (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v))))
(* (* v v) -5)
(* (* v v) 4)
(+ (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) (/ (PI) 2))
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ -1 (* v v)))) 4)
(+ (/ (PI) 2) (asin (+ -1 (* (* v v) 4))))
(pow (asin (+ -1 (* (* v v) 4))) 6)
(pow (asin (+ -1 (* (* v v) 4))) 4)
Outputs
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal -2 binary64)))
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(+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) #s(literal -1 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (-.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 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 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) #s(literal -1 binary64))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (-.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 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 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (-.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64))) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (-.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))) (-.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64))) #s(literal 1 binary64)) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (-.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 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 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (-.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 4 binary64) (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) (*.f64 #s(literal 4 binary64) (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 3 binary64)) (*.f64 (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 3 binary64))))
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))
(pow.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(*.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) (*.f64 (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 3 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 3 binary64)) (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))))
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))

simplify330.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
3140×*-lowering-*.f32
3140×*-lowering-*.f64
1760×sum3-define
1464×fma-define
1410×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0915957
12395022
26034998
319164998
473964998
084224998
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(/ 1 (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))
(/ 1 (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))
(/ 1 (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))
(/ 1 (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))
(/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(sqrt (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))
(sqrt (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))
(sqrt (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))
(sqrt (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))
(sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
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(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)))
(* -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))
(* 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))
(+ (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))) 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)
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
Outputs
(/ 1 (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))
(/.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))))) (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))))))
(/ 1 (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))
(/.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))))) (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))))))
(/ 1 (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))
(/.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))))) (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))))))
(/ 1 (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))
(/.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))))) (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))))))
(/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.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))))) (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))))))
(/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.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))))) (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))))))
(/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.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))))) (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))))))
(/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.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))))) (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))))))
(/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.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))))) (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))))))
(/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.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))))) (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))))))
(/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.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))))) (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))))))
(/ 1 (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.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))))) (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))))))
(sqrt (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.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))))))
(sqrt (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.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))))))
(sqrt (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.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))))))
(sqrt (* (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1))))))
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.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))))))
(sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.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))))))
(sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.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))))))
(sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.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))))))
(sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.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))))))
(sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.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))))))
(sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.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))))))
(sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.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))))))
(sqrt (* (acos (* -1 (/ (- (* 25 (pow v 4)) 1) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.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))))))
(/ 1 (acos (/ (- (* 25 (pow v 4)) 1) (* (- (* -5 (pow v 2)) 1) (- (pow v 2) 1)))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))))))
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(*.f64 v (*.f64 v #s(literal 4 binary64)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.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 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.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 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.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 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.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 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.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 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.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 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.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 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.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 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.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 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.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 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.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 (*.f64 v v) #s(literal -1 binary64)))))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (*.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 (*.f64 v v) #s(literal -1 binary64)))))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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 (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)
(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))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))

eval394.0ms (2.1%)

Compiler

Compiled 107166 to 3463 computations (96.8% saved)

prune222.0ms (1.2%)

Pruning

37 alts after pruning (27 fresh and 10 done)

PrunedKeptTotal
New165391662
Fresh61824
Picked235
Done077
Total1661371698
Accuracy
98.9%
Counts
1698 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.2%
(fma.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #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)) (-.f64 (*.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 (*.f64 v v) #s(literal -1 binary64)))))))
98.7%
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
96.0%
(pow.f64 (pow.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
98.7%
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal -2 binary64))) #s(literal -1/2 binary64))
4.4%
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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 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))))))) #s(literal -1/2 binary64))
4.4%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (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))
✓98.7%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) #s(literal -1/2 binary64))
3.7%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 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 v (*.f64 v #s(literal 4 binary64)))))))
7.4%
(/.f64 (fma.f64 (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
4.9%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
4.4%
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.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))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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))))) #s(literal 3 binary64)) (pow.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 (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))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.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))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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))))) #s(literal 2 binary64)) (+.f64 (pow.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 (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))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.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))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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 (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 (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))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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)))))))))
✓7.3%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (*.f64 (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.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 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))))
✓4.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
3.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 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 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (-.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
✓3.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 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 v (*.f64 v #s(literal 4 binary64)))))))
3.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 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 #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) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (-.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
3.7%
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 2 binary64)))))
7.3%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (/.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 #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 (*.f64 v v) #s(literal -1 binary64))))))
3.7%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))) (+.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64)))))
3.7%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))) (+.f64 (+.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 8 binary64)) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 2 binary64)))))
3.7%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) #s(literal -1 binary64)))))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 2 binary64)))))
98.7%
(/.f64 #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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
95.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.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)))))
95.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
94.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
96.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal 3 binary64)))))
✓96.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.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)))))
95.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
97.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
✓97.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
97.4%
(-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
✓97.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
98.8%
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.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))))))
98.7%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
✓98.7%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
✓97.4%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓96.3%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 5423 to 1250 computations (77% saved)

regimes78.0ms (0.4%)

Counts
58 → 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(pow.f64 (pow.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.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))))
(/.f64 #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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 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 v (*.f64 v #s(literal 4 binary64)))))))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) #s(literal -1/2 binary64))
(pow.f64 (/.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 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal -1/2 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) #s(literal -1/2 binary64))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 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 v (*.f64 v #s(literal 4 binary64)))))))
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal -1 binary64))))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #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 (*.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 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))))
(/.f64 (fma.f64 (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (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 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 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 v (*.f64 v #s(literal 4 binary64)))))))))
(fma.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #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)) (-.f64 (*.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 (*.f64 v v) #s(literal -1 binary64)))))))
(fma.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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 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))))))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.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 (*.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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (*.f64 (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.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 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (/.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 #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 (*.f64 v v) #s(literal -1 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64))) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (/.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 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.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 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 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 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.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))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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))))) #s(literal 3 binary64)) (pow.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 (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))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.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))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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))))) #s(literal 2 binary64)) (+.f64 (pow.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 (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))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.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))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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 (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 (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))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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)))))))))
Outputs
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.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))))))
Calls

4 calls:

15.0ms
v
15.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
15.0ms
(*.f64 v v)
15.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.8%1v
98.8%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.8%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.8%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes31.0ms (0.2%)

Counts
23 → 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(pow.f64 (pow.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.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))))
(/.f64 #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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 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 v (*.f64 v #s(literal 4 binary64)))))))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) #s(literal -1/2 binary64))
(pow.f64 (/.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 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal -1/2 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) #s(literal -1/2 binary64))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 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 v (*.f64 v #s(literal 4 binary64)))))))
Outputs
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal -2 binary64))) #s(literal -1/2 binary64))
Calls

4 calls:

10.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
6.0ms
v
6.0ms
(*.f64 v v)
5.0ms
(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
98.7%1v
98.7%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))))
98.7%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.7%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes19.0ms (0.1%)

Counts
16 → 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(pow.f64 (pow.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.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))))
(/.f64 #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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
Outputs
(/.f64 #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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
Calls

4 calls:

5.0ms
v
4.0ms
(*.f64 v v)
4.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.7%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))))
98.7%1v
98.7%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.7%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes16.0ms (0.1%)

Counts
14 → 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(pow.f64 (pow.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.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))))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
Calls

4 calls:

4.0ms
v
4.0ms
(*.f64 v v)
4.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.7%1v
98.7%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))))
98.7%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.7%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes13.0ms (0.1%)

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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
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:

6.0ms
(*.f64 v v)
2.0ms
v
2.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.7%1v
98.7%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))))
98.7%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.7%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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
Calls

2 calls:

2.0ms
v
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
97.4%1v
97.4%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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
Outputs
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
Calls

2 calls:

2.0ms
v
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
97.4%1v
97.4%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes2.0ms (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:

2.0ms
v
Results
AccuracySegmentsBranch
96.3%1v
Compiler

Compiled 2 to 1 computations (50% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
26×*-commutative_binary64
26×+-commutative_binary64
14×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057134
182134
295134
3108134
4114134
5117134
6118134
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.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))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(/.f64 #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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v 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
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (*.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))))))
(sqrt.f64 (*.f64 (acos.f64 (/.f64 (+.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 v v)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))))) (acos.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 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))))) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(/.f64 #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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (+.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 (*.f64 v v) #s(literal 5 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(acos.f64 #s(literal -1 binary64))

soundness2.1s (11%)

Rules
5632×*-lowering-*.f32
5632×*-lowering-*.f64
4532×*-lowering-*.f32
4532×*-lowering-*.f64
3928×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037425
1106332
2304330
3836330
42205329
56329329
08346329
0915957
12395022
26034998
319164998
473964998
084224998
0933
16733
254230
3749230
0803130
056334
1406275
23603275
08331275
034292
1246146
22215146
010073146
072593
1517330
24574310
08529310
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 291 to 137 computations (52.9% saved)

preprocess63.0ms (0.3%)

Remove

(abs v)

Compiler

Compiled 924 to 452 computations (51.1% saved)

end0.0ms (0%)

Profiling

Loading profile data...