Falkner and Boettcher, Equation (20:1,3)

Time bar (total: 11.1s)

analyze84.0ms (0.8%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%50%0.1%0%50%0%4
0%0%50%0.1%0%50%0%5
37.5%18.7%31.2%0.1%0%50%0%6
43.8%21.9%28.1%0.1%0%50%0%7
65.6%32.8%17.2%0.1%0%50%0%8
70.3%35.1%14.8%0.1%0%50%0%9
82%41%9%0.1%0%50%0%10
84.8%42.3%7.6%0.1%0%50%0%11
90.8%45.4%4.6%0.1%0%50%0%12
Compiler

Compiled 31 to 20 computations (35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 38.0ms (72% of total)
ival-sub: 7.0ms (13.3% of total)
ival-sqrt: 4.0ms (7.6% of total)
ival-pi: 2.0ms (3.8% of total)
ival-div: 2.0ms (3.8% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

sample1.7s (15%)

Results
1.3s8256×0valid
1.0ms13×0invalid
Precisions
Click to see histograms. Total time spent on operations: 880.0ms
ival-mult: 475.0ms (54% of total)
ival-sub: 169.0ms (19.2% of total)
ival-sqrt: 98.0ms (11.1% of total)
ival-div: 67.0ms (7.6% of total)
ival-pi: 48.0ms (5.5% of total)
const: 21.0ms (2.4% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess248.0ms (2.2%)

Algorithm
egg-herbie
Rules
5020×*-lowering-*.f32
5020×*-lowering-*.f64
2636×/-lowering-/.f32
2636×/-lowering-/.f64
1982×times-frac
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
050152
1187150
2644132
34547126
01925
15825
219122
394721
4497020
0832920
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
Outputs
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
Call 2
Inputs
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
(/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v)))))
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
(neg (/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v))))))
(neg (/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))))
(/ (- 1 (* 5 (* t t))) (* (* (* (PI) v) (sqrt (* 2 (- 1 (* 3 (* t t)))))) (- 1 (* t t))))
Outputs
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
(/ (/ (/ (/ (fnmsub (square v) -5 1) t) (PI)) (sqrt (fma (square v) -6 2))) (fmsub v v 1))
(/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v)))))
(/ (/ (/ (/ (fnmsub (square v) -5 1) t) (PI)) (sqrt (fma (square v) -6 2))) (fmsub v v 1))
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
(/ (/ (/ (/ (fnmsub (square v) -5 1) t) (PI)) (sqrt (fma (square v) -6 2))) (fnmadd v v 1))
(neg (/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v))))))
(/ (/ (/ (/ (fnmsub (square v) -5 1) t) (PI)) (sqrt (fma (square v) -6 2))) (fnmadd v v 1))
(neg (/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))))
(/ (/ (/ (/ (fnmsub (square v) -5 1) t) (PI)) (sqrt (fma (square v) -6 2))) (fmsub v v 1))
(/ (- 1 (* 5 (* t t))) (* (* (* (PI) v) (sqrt (* 2 (- 1 (* 3 (* t t)))))) (- 1 (* t t))))
(/ (/ (fma (square t) -5 1) (* (* v (PI)) (sqrt (fma (square t) -6 2)))) (fnmadd t t 1))
Symmetry

(abs v)

(negabs t)

explain204.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 v v))
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 3 binary64) (*.f64 v v))
00-0-(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
00-0-(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
00-0-(*.f64 v v)
00-0-(PI.f64)
00-0-(*.f64 (PI.f64) t)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
00-0-v
00-0-(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
00-0-t
00-0-#s(literal 1 binary64)
00-0-#s(literal 5 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
00-0-(*.f64 #s(literal 5 binary64) (*.f64 v v))
Results
127.0ms512×0valid
Compiler

Compiled 282 to 59 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 23.0ms (55.1% of total)
ival-sub: 8.0ms (19.2% of total)
ival-sqrt: 4.0ms (9.6% of total)
ival-div: 3.0ms (7.2% of total)
ival-pi: 2.0ms (4.8% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 28 to 19 computations (32.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
Compiler

Compiled 28 to 19 computations (32.1% saved)

simplify184.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 v #s(literal -5 binary64))
cost-diff0
(*.f64 v (*.f64 v #s(literal -5 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
Rules
2860×*-lowering-*.f32
2860×*-lowering-*.f64
2224×fma-define
1922×+-lowering-+.f64
1922×+-lowering-+.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01997
14795
212090
334390
4103988
5194088
6460788
0813288
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))
(* (PI) t)
(PI)
t
(* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))
(sqrt (- 2 (* (* v v) 6)))
(- 2 (* (* v v) 6))
2
(* (* v v) 6)
(* v v)
6
(- 1 (* v v))
Outputs
(/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
1
#s(literal 1 binary64)
(* v (* v -5))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt (- 2 (* (* v v) 6)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(- 2 (* (* v v) 6))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
2
#s(literal 2 binary64)
(* (* v v) 6)
(*.f64 (*.f64 v v) #s(literal 6 binary64))
(* v v)
(*.f64 v v)
6
#s(literal 6 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize85.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (*.f64 v v) #s(literal 6 binary64))
accuracy99.6%
(*.f64 (PI.f64) t)
accuracy99.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
accuracy99.4%
(*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Results
59.0ms256×0valid
Compiler

Compiled 114 to 20 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 12.0ms (54.1% of total)
ival-sub: 3.0ms (13.5% of total)
ival-sqrt: 3.0ms (13.5% of total)
ival-div: 2.0ms (9% of total)
ival-pi: 1.0ms (4.5% of total)
ival-add: 1.0ms (4.5% of total)
const: 1.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

series20.0ms (0.2%)

Counts
7 → 108
Calls
Call 1
Inputs
#<alt (/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))))>
#<alt (+ 1 (* v (* v -5)))>
#<alt (* v (* v -5))>
#<alt (* v -5)>
#<alt (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))>
#<alt (* (PI) t)>
#<alt (* (* v v) 6)>
Outputs
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)>
#<alt (* -5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt 1>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))))))>
#<alt (* -1 (* t (* (pow v 3) (* (PI) (sqrt -6)))))>
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))>
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))>
#<alt (* t (* (pow v 3) (* (PI) (sqrt -6))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
#<alt (* 6 (pow v 2))>
Calls

27 calls:

TimeVariablePointExpression
5.0ms
t
@0
(/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))))
2.0ms
v
@inf
(/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))))
2.0ms
v
@0
(/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))))
2.0ms
v
@inf
(+ 1 (* v (* v -5)))
1.0ms
v
@inf
(* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))

rewrite351.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
6000×*-lowering-*.f32
6000×*-lowering-*.f64
2966×/-lowering-/.f32
2966×/-lowering-/.f64
1332×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01959
111257
284255
0844055
Stop Event
iter limit
node limit
Counts
7 → 429
Calls
Call 1
Inputs
(/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))))
(+ 1 (* v (* v -5)))
(* v (* v -5))
(* v -5)
(* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))
(* (PI) t)
(* (* v v) 6)
Outputs
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 v (*.f64 v #s(literal -5 binary64)))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (/.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))) (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 25 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))))
(neg.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)))))
(neg.f64 (/.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (+.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 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (+.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 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(/.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 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (+.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 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(/.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 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 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64))))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
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(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (+.f64 (*.f64 v (-.f64 #s(literal 0 binary64) v)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -216 binary64))))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal 12 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -36 binary64))))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(*.f64 (PI.f64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (neg.f64 t))))
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 (PI.f64) t) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (neg.f64 (*.f64 t (-.f64 #s(literal 0 binary64) (PI.f64)))))
(*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))))
(*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
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(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(*.f64 (*.f64 t (-.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 t (-.f64 #s(literal 0 binary64) (PI.f64))))
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t))))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (neg.f64 t)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) t)
(*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (neg.f64 (*.f64 t (-.f64 #s(literal 0 binary64) (PI.f64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (PI.f64) t))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 1 binary64)) (*.f64 (PI.f64) t))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) t))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) t))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (PI.f64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
(*.f64 (PI.f64) t)
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) t))
(*.f64 t (PI.f64))
(*.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) t))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) t)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) t)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) t))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) t))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) t)))
(*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) t) (PI.f64))
(*.f64 (*.f64 t (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 6 binary64))))
(*.f64 v (*.f64 v #s(literal 6 binary64)))
(*.f64 (*.f64 v v) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) (*.f64 v v))
(*.f64 (*.f64 v (*.f64 v #s(literal 6 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 v #s(literal 6 binary64)) v)

simplify318.0ms (2.9%)

Algorithm
egg-herbie
Rules
4342×*-lowering-*.f32
4342×*-lowering-*.f64
2452×+-lowering-+.f64
2452×+-lowering-+.f32
1838×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02322136
17671801
235061765
081011765
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (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))
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* t (* (PI) (sqrt 2)))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))))))
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6)))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))
(* t (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* 6 (pow v 2))
(* 6 (pow v 2))
(* 6 (pow v 2))
(* 6 (pow v 2))
(* 6 (pow v 2))
(* 6 (pow v 2))
(* 6 (pow v 2))
(* 6 (pow v 2))
(* 6 (pow v 2))
(* 6 (pow v 2))
(* 6 (pow v 2))
(* 6 (pow v 2))
Outputs
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))))))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -27/4 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 #s(literal 135/32 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))) (+.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))))))))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (*.f64 (PI.f64) v)))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (/.f64 #s(literal -5/36 binary64) (*.f64 t (*.f64 v (*.f64 v (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 t (pow.f64 v #s(literal 4 binary64)))))))) (+.f64 (/.f64 (/.f64 #s(literal -5/144 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (-.f64 (/.f64 #s(literal -5/36 binary64) (*.f64 t (*.f64 v (*.f64 v (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal -5/144 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 t (pow.f64 v #s(literal 4 binary64))))))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 6 binary64)))))))) (+.f64 (/.f64 (/.f64 #s(literal -25/2592 binary64) t) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 6 binary64)))) (-.f64 (-.f64 (/.f64 #s(literal -5/36 binary64) (*.f64 t (*.f64 v (*.f64 v (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))))) (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 6 binary64))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -5 binary64)) (*.f64 t (*.f64 (PI.f64) v)))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (/.f64 #s(literal -5/36 binary64) (*.f64 t (*.f64 v (*.f64 v (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))))) (-.f64 #s(literal 0 binary64) v))
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(*.f64 v (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 t (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 t (+.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))))) (+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))
(*.f64 (*.f64 v (*.f64 v v)) (-.f64 (+.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 t (PI.f64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 6 binary64))))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (*.f64 (/.f64 t (pow.f64 v #s(literal 6 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 t (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 t (+.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))))
(* t (* (pow v 3) (* (PI) (sqrt -6))))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (-.f64 (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) #s(literal -1 binary64)))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))
(*.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 t (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 t (+.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))))) (+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))))
(*.f64 (-.f64 (+.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 t (PI.f64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 6 binary64))))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (*.f64 (/.f64 t (pow.f64 v #s(literal 6 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 t (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 t (+.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* 6 (pow v 2))
(*.f64 v (*.f64 v #s(literal 6 binary64)))
(* 6 (pow v 2))
(*.f64 v (*.f64 v #s(literal 6 binary64)))
(* 6 (pow v 2))
(*.f64 v (*.f64 v #s(literal 6 binary64)))
(* 6 (pow v 2))
(*.f64 v (*.f64 v #s(literal 6 binary64)))
(* 6 (pow v 2))
(*.f64 v (*.f64 v #s(literal 6 binary64)))
(* 6 (pow v 2))
(*.f64 v (*.f64 v #s(literal 6 binary64)))
(* 6 (pow v 2))
(*.f64 v (*.f64 v #s(literal 6 binary64)))
(* 6 (pow v 2))
(*.f64 v (*.f64 v #s(literal 6 binary64)))
(* 6 (pow v 2))
(*.f64 v (*.f64 v #s(literal 6 binary64)))
(* 6 (pow v 2))
(*.f64 v (*.f64 v #s(literal 6 binary64)))
(* 6 (pow v 2))
(*.f64 v (*.f64 v #s(literal 6 binary64)))
(* 6 (pow v 2))
(*.f64 v (*.f64 v #s(literal 6 binary64)))

eval89.0ms (0.8%)

Compiler

Compiled 20147 to 1467 computations (92.7% saved)

prune109.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5298537
Fresh000
Picked101
Done000
Total5308538
Accuracy
100.0%
Counts
538 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
99.4%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.6%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
99.4%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
99.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
98.3%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
97.8%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
Compiler

Compiled 388 to 270 computations (30.4% saved)

simplify181.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 v (*.f64 v #s(literal -5 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
cost-diff128
(/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
cost-diff0
(*.f64 v (*.f64 v #s(literal -5 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
cost-diff0
(*.f64 v #s(literal -5 binary64))
cost-diff0
(*.f64 v (*.f64 v #s(literal -5 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 t (PI.f64))
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
cost-diff0
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
cost-diff0
(*.f64 v (*.f64 v #s(literal -5 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))
cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
Rules
2844×*-lowering-*.f32
2844×*-lowering-*.f64
1706×unsub-neg
1602×fnmadd-define
1564×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035412
186382
2205382
3553373
41749373
53262373
66347373
08203373
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t)))
(/ (+ 1 (* v (* v -5))) (PI))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(PI)
(* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t))
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
2
(* (* v v) -6)
(* v v)
-6
(* (- 1 (* v v)) t)
(- 1 (* v v))
t
(/ (sqrt 1/2) (* t (PI)))
(sqrt 1/2)
1/2
(* t (PI))
t
(PI)
(/ (+ 1 (* v (* v -5))) (* (* (- 1 (* v v)) t) (* (PI) (sqrt (+ 2 (* (* v v) -6))))))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(* (* (- 1 (* v v)) t) (* (PI) (sqrt (+ 2 (* (* v v) -6)))))
(* (- 1 (* v v)) t)
(- 1 (* v v))
(* v v)
t
(* (PI) (sqrt (+ 2 (* (* v v) -6))))
(PI)
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
2
(* (* v v) -6)
-6
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v)))) (* (PI) t))
(/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v))))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v)))
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
2
(* (* v v) -6)
(* v v)
-6
(- 1 (* v v))
(* (PI) t)
(PI)
t
(/ (+ 1 (* v (* v -5))) (/ (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) (/ 1 (- 1 (* v v)))))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(/ (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) (/ 1 (- 1 (* v v))))
(* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))
(PI)
(* t (sqrt (+ 2 (* (* v v) -6))))
t
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
2
(* (* v v) -6)
(* v v)
-6
(/ 1 (- 1 (* v v)))
(- 1 (* v v))
Outputs
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(/ (+ 1 (* v (* v -5))) (PI))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
1
#s(literal 1 binary64)
(* v (* v -5))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(PI)
(PI.f64)
(* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))
(sqrt (+ 2 (* (* v v) -6)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(+ 2 (* (* v v) -6))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
2
#s(literal 2 binary64)
(* (* v v) -6)
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* v v)
(*.f64 v v)
-6
#s(literal -6 binary64)
(* (- 1 (* v v)) t)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
t
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* t (PI))
(*.f64 (PI.f64) t)
t
(PI)
(PI.f64)
(/ (+ 1 (* v (* v -5))) (* (* (- 1 (* v v)) t) (* (PI) (sqrt (+ 2 (* (* v v) -6))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
1
#s(literal 1 binary64)
(* v (* v -5))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(* (* (- 1 (* v v)) t) (* (PI) (sqrt (+ 2 (* (* v v) -6)))))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(* (- 1 (* v v)) t)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* v v)
(*.f64 v v)
t
(* (PI) (sqrt (+ 2 (* (* v v) -6))))
(*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(PI)
(PI.f64)
(sqrt (+ 2 (* (* v v) -6)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(+ 2 (* (* v v) -6))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
2
#s(literal 2 binary64)
(* (* v v) -6)
(*.f64 (*.f64 v v) #s(literal -6 binary64))
-6
#s(literal -6 binary64)
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v)))) (* (PI) t))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
1
#s(literal 1 binary64)
(* v (* v -5))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt (+ 2 (* (* v v) -6)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(+ 2 (* (* v v) -6))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
2
#s(literal 2 binary64)
(* (* v v) -6)
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* v v)
(*.f64 v v)
-6
#s(literal -6 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(/ (+ 1 (* v (* v -5))) (/ (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) (/ 1 (- 1 (* v v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
1
#s(literal 1 binary64)
(* v (* v -5))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(/ (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) (/ 1 (- 1 (* v v))))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))
(PI)
(PI.f64)
(* t (sqrt (+ 2 (* (* v v) -6))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t)
t
(sqrt (+ 2 (* (* v v) -6)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(+ 2 (* (* v v) -6))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
2
#s(literal 2 binary64)
(* (* v v) -6)
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* v v)
(*.f64 v v)
-6
#s(literal -6 binary64)
(/ 1 (- 1 (* v v)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize378.0ms (3.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
accuracy99.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
accuracy99.5%
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
accuracy99.4%
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
accuracy99.6%
(*.f64 (PI.f64) t)
accuracy99.3%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
accuracy98.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
accuracy99.8%
(*.f64 v (*.f64 v #s(literal -5 binary64)))
accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
accuracy99.7%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
accuracy99.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
accuracy100.0%
(PI.f64)
accuracy99.6%
(*.f64 t (PI.f64))
accuracy99.3%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
accuracy99.8%
(*.f64 v (*.f64 v #s(literal -5 binary64)))
accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
accuracy99.3%
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))
accuracy99.3%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
Results
247.0ms256×0valid
Compiler

Compiled 478 to 36 computations (92.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-div: 23.0ms (43.5% of total)
ival-mult: 19.0ms (36% of total)
ival-sqrt: 4.0ms (7.6% of total)
ival-add: 3.0ms (5.7% of total)
ival-pi: 1.0ms (1.9% of total)
ival-sub: 1.0ms (1.9% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series38.0ms (0.3%)

Counts
20 → 324
Calls
Call 1
Inputs
#<alt (/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t)))>
#<alt (/ (+ 1 (* v (* v -5))) (PI))>
#<alt (+ 1 (* v (* v -5)))>
#<alt (* v (* v -5))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (sqrt 1/2)>
#<alt (* t (PI))>
#<alt (PI)>
#<alt (/ (+ 1 (* v (* v -5))) (* (* (- 1 (* v v)) t) (* (PI) (sqrt (+ 2 (* (* v v) -6))))))>
#<alt (* v -5)>
#<alt (/ (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v)))) (* (PI) t))>
#<alt (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v))))>
#<alt (/ (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) (/ 1 (- 1 (* v v))))>
#<alt (/ (+ 1 (* v (* v -5))) (/ (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) (/ 1 (- 1 (* v v)))))>
#<alt (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t))>
#<alt (* (* v v) -6)>
#<alt (* (* (- 1 (* v v)) t) (* (PI) (sqrt (+ 2 (* (* v v) -6)))))>
#<alt (* (PI) t)>
#<alt (* t (sqrt (+ 2 (* (* v v) -6))))>
#<alt (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))>
Outputs
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)>
#<alt (* -5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (/ 1 (PI))>
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))>
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))>
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))>
#<alt (* -5 (/ (pow v 2) (PI)))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt (* -5 (/ (pow v 2) (PI)))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (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 (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)>
#<alt (* -5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
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#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))))))>
#<alt (* -1 (* t (* (pow v 3) (* (PI) (sqrt -6)))))>
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))>
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))>
#<alt (* t (* (pow v 3) (* (PI) (sqrt -6))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt 2))>
#<alt (+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2)))>
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2))))))>
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3))))))))>
#<alt (* t (* v (sqrt -6)))>
#<alt (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))>
#<alt (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))>
#<alt (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* t (* v (sqrt -6))))>
#<alt (* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))>
#<alt (* t (* v (* (PI) (sqrt -6))))>
#<alt (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))>
#<alt (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))>
#<alt (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* t (* v (* (PI) (sqrt -6)))))>
#<alt (* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))>
Calls

81 calls:

TimeVariablePointExpression
9.0ms
v
@inf
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t)))
3.0ms
t
@inf
(/ (sqrt 1/2) (* t (PI)))
2.0ms
t
@inf
(* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t))
1.0ms
t
@0
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t)))
1.0ms
v
@inf
(/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v))))

rewrite390.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
3738×*-lowering-*.f32
3738×*-lowering-*.f64
3456×/-lowering-/.f32
3456×/-lowering-/.f64
1132×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035219
1208200
21647200
08337200
Stop Event
iter limit
node limit
Counts
20 → 1318
Calls
Call 1
Inputs
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t)))
(/ (+ 1 (* v (* v -5))) (PI))
(+ 1 (* v (* v -5)))
(* v (* v -5))
(/ (sqrt 1/2) (* t (PI)))
(sqrt 1/2)
(* t (PI))
(PI)
(/ (+ 1 (* v (* v -5))) (* (* (- 1 (* v v)) t) (* (PI) (sqrt (+ 2 (* (* v v) -6))))))
(* v -5)
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v)))) (* (PI) t))
(/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v))))
(/ (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) (/ 1 (- 1 (* v v))))
(/ (+ 1 (* v (* v -5))) (/ (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) (/ 1 (- 1 (* v v)))))
(* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t))
(* (* v v) -6)
(* (* (- 1 (* v v)) t) (* (PI) (sqrt (+ 2 (* (* v v) -6)))))
(* (PI) t)
(* t (sqrt (+ 2 (* (* v v) -6))))
(* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (/.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(neg.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(neg.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (PI.f64)))))
(neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (-.f64 #s(literal 0 binary64) t)))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
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(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t))
(*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(*.f64 (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (PI.f64))) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(*.f64 (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(*.f64 (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))) #s(literal -1 binary64)) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (PI.f64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))
(*.f64 (neg.f64 (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(*.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)))
(/.f64 t (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
(*.f64 (PI.f64) t)
(*.f64 (PI.f64) (neg.f64 (-.f64 #s(literal 0 binary64) t)))
(*.f64 t (PI.f64))
(*.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) t))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) t))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t)) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) t)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t)
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t))
(*.f64 (PI.f64) (neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) t))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) t)
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (*.f64 (PI.f64) t) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) t)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) #s(literal -1 binary64))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) t)) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) t))) (PI.f64))

simplify409.0ms (3.7%)

Algorithm
egg-herbie
Rules
5506×*-lowering-*.f32
5506×*-lowering-*.f64
2958×+-lowering-+.f64
2958×+-lowering-+.f32
2220×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04398516
115387055
269457004
086077004
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
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(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))))))
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6)))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))
(* t (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))))
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* t (sqrt 2))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2))))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (* 3 (/ t (sqrt 2)))))))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (+ (* 3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ t (pow (sqrt 2) 5))) (* 9/2 (/ t (pow (sqrt 2) 3))))))))))))
(* -1 (* t (* (pow v 3) (sqrt -6))))
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))
(* t (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* t (* (PI) (sqrt 2)))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))))))
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6)))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))
(* t (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt 2))
(+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2)))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2))))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3))))))))
(* t (* v (sqrt -6)))
(* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))
(* -1 (* t (* v (sqrt -6))))
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (* (PI) (sqrt 2)))
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))
(* t (* v (* (PI) (sqrt -6))))
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(* -1 (* t (* v (* (PI) (sqrt -6)))))
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))
Outputs
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal 3/4 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))
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(*.f64 t (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2)))
(+.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 t (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2))))))
(+.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 t #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 t (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3))))))))
(+.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 t #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)) (/.f64 (*.f64 #s(literal -27/2 binary64) (*.f64 t (*.f64 v v))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))))))))
(* t (* v (sqrt -6)))
(*.f64 t (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))
(*.f64 v (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))
(*.f64 v (+.f64 (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (pow.f64 v #s(literal 4 binary64))))))
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))
(*.f64 v (+.f64 (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (+.f64 (/.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (pow.f64 v #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))))
(* -1 (* t (* v (sqrt -6))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (sqrt.f64 #s(literal -6 binary64)))) v)
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))
(*.f64 v (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (sqrt.f64 #s(literal -6 binary64)))) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))
(*.f64 (+.f64 (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 v))
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))))
(*.f64 (+.f64 (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (+.f64 (/.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (pow.f64 v #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))) (neg.f64 v))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))
(+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 t (*.f64 v v))) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))
(+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 t (*.f64 (PI.f64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))
(+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)) (/.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (*.f64 v v))) #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))))))
(* t (* v (* (PI) (sqrt -6))))
(*.f64 t (*.f64 (PI.f64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))
(*.f64 v (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(*.f64 v (+.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(*.f64 v (+.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (+.f64 (*.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (/.f64 t (pow.f64 v #s(literal 6 binary64))))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))))
(* -1 (* t (* v (* (PI) (sqrt -6)))))
(-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (PI.f64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(*.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 v))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))
(*.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (+.f64 (*.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (/.f64 t (pow.f64 v #s(literal 6 binary64))))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (neg.f64 v))

eval344.0ms (3.1%)

Compiler

Compiled 70705 to 3182 computations (95.5% saved)

prune204.0ms (1.8%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New2192152207
Fresh213
Picked325
Done000
Total2197182215
Accuracy
100.0%
Counts
2215 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
99.3%
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64))
99.4%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.6%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
98.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
97.8%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
97.8%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
98.3%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
98.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
98.4%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
97.8%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
97.8%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
97.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 1/2 binary64))))
97.8%
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
98.3%
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
97.9%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
97.8%
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
97.9%
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)))
Compiler

Compiled 548 to 424 computations (22.6% saved)

simplify175.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 v (*.f64 v #s(literal -5 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
cost-diff128
(/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
cost-diff0
(*.f64 (PI.f64) t)
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))
cost-diff0
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
cost-diff128
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
cost-diff0
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
cost-diff0
(/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
cost-diff0
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
cost-diff0
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
cost-diff0
(*.f64 v (*.f64 v #s(literal -5 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Rules
3416×*-lowering-*.f32
3416×*-lowering-*.f64
1766×neg-lowering-neg.f64
1766×neg-lowering-neg.f32
1530×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040248
189235
2205234
3631233
41894230
54144230
08095230
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))) (- 1 (* v v)))
(/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))
(PI)
(* t (sqrt (+ 2 (* (* v v) -6))))
t
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
2
(* (* v v) -6)
(* v v)
-6
(- 1 (* v v))
(/ (/ (sqrt 1/2) t) (PI))
(/ (sqrt 1/2) t)
(sqrt 1/2)
1/2
t
(PI)
(/ 1 (/ t (/ (sqrt 1/2) (PI))))
1
(/ t (/ (sqrt 1/2) (PI)))
t
(/ (sqrt 1/2) (PI))
(sqrt 1/2)
1/2
(PI)
(/ -1 (* (- 0 (* (PI) t)) (pow 1/2 -1/2)))
-1
(* (- 0 (* (PI) t)) (pow 1/2 -1/2))
(- 0 (* (PI) t))
0
(* (PI) t)
(PI)
t
(pow 1/2 -1/2)
1/2
-1/2
(/ (+ 1 (* v (* v -5))) (/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v)))))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v))))
(* t (* (PI) (sqrt 2)))
t
(* (PI) (sqrt 2))
(PI)
(sqrt 2)
2
(/ 1 (- 1 (* v v)))
(- 1 (* v v))
(* v v)
Outputs
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))) (- 1 (* v v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
1
#s(literal 1 binary64)
(* v (* v -5))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))
(PI)
(PI.f64)
(* t (sqrt (+ 2 (* (* v v) -6))))
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
t
(sqrt (+ 2 (* (* v v) -6)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(+ 2 (* (* v v) -6))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
2
#s(literal 2 binary64)
(* (* v v) -6)
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* v v)
(*.f64 v v)
-6
#s(literal -6 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (/ (sqrt 1/2) t) (PI))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
(/ (sqrt 1/2) t)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
t
(PI)
(PI.f64)
(/ 1 (/ t (/ (sqrt 1/2) (PI))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
1
#s(literal 1 binary64)
(/ t (/ (sqrt 1/2) (PI)))
(/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
t
(/ (sqrt 1/2) (PI))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
(/ -1 (* (- 0 (* (PI) t)) (pow 1/2 -1/2)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
-1
#s(literal -1 binary64)
(* (- 0 (* (PI) t)) (pow 1/2 -1/2))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
(- 0 (* (PI) t))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))
0
#s(literal 0 binary64)
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(pow 1/2 -1/2)
(pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)
(/ (+ 1 (* v (* v -5))) (/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
1
#s(literal 1 binary64)
(* v (* v -5))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(* t (* (PI) (sqrt 2)))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
t
(* (PI) (sqrt 2))
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(PI)
(PI.f64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (- 1 (* v v)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* v v)
(*.f64 v v)

localize275.0ms (2.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy99.8%
(*.f64 v (*.f64 v #s(literal -5 binary64)))
accuracy99.7%
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
accuracy99.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
accuracy100.0%
(PI.f64)
accuracy99.6%
(*.f64 (PI.f64) t)
accuracy99.6%
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
accuracy99.3%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
accuracy100.0%
(PI.f64)
accuracy99.9%
(/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
accuracy98.4%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
accuracy100.0%
(PI.f64)
accuracy99.4%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
accuracy99.3%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
accuracy99.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
accuracy99.5%
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
accuracy99.4%
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
Results
213.0ms256×0valid
Compiler

Compiled 281 to 41 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-sub: 33.0ms (39.8% of total)
ival-div: 18.0ms (21.7% of total)
ival-mult: 17.0ms (20.5% of total)
ival-sqrt: 6.0ms (7.2% of total)
ival-pow: 4.0ms (4.8% of total)
ival-add: 3.0ms (3.6% of total)
ival-pi: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series30.0ms (0.3%)

Counts
22 → 300
Calls
Call 1
Inputs
#<alt (/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))) (- 1 (* v v)))>
#<alt (/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))))>
#<alt (+ 1 (* v (* v -5)))>
#<alt (* v (* v -5))>
#<alt (/ (/ (sqrt 1/2) t) (PI))>
#<alt (/ (sqrt 1/2) t)>
#<alt (sqrt 1/2)>
#<alt (PI)>
#<alt (/ 1 (/ t (/ (sqrt 1/2) (PI))))>
#<alt (/ t (/ (sqrt 1/2) (PI)))>
#<alt (/ (sqrt 1/2) (PI))>
#<alt (/ -1 (* (- 0 (* (PI) t)) (pow 1/2 -1/2)))>
#<alt (* (- 0 (* (PI) t)) (pow 1/2 -1/2))>
#<alt (- 0 (* (PI) t))>
#<alt (* (PI) t)>
#<alt (/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v))))>
#<alt (/ (+ 1 (* v (* v -5))) (/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v)))))>
#<alt (* t (sqrt (+ 2 (* (* v v) -6))))>
#<alt (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))>
#<alt (* (* v v) -6)>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (/ 1 (- 1 (* v v)))>
Outputs
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)>
#<alt (* -5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 15/4 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (+ (* -5/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))))) (* 15/4 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* -5 (/ (* v (sqrt -1/6)) (* t (PI))))>
#<alt (* v (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI)))))))>
#<alt (* v (- (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))>
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#<alt (* 5 (/ (* v (sqrt -1/6)) (* t (PI))))>
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#<alt (* -1 (* v (- (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))))>
#<alt (* -1 (* v (- (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
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#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
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#<alt 1>
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#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
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#<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 (/ (sqrt 1/2) (* t (PI)))>
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#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (* t (PI)) (sqrt 1/2))>
#<alt (/ (* t (PI)) (sqrt 1/2))>
#<alt (/ (* t (PI)) (sqrt 1/2))>
#<alt (/ (* t (PI)) (sqrt 1/2))>
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#<alt (/ (* t (PI)) (sqrt 1/2))>
#<alt (/ (* t (PI)) (sqrt 1/2))>
#<alt (/ (* t (PI)) (sqrt 1/2))>
#<alt (/ (* t (PI)) (sqrt 1/2))>
#<alt (/ (* t (PI)) (sqrt 1/2))>
#<alt (/ (* t (PI)) (sqrt 1/2))>
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#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
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#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (PI)))>
#<alt (* -1 (* t (PI)))>
#<alt (* -1 (* t (PI)))>
#<alt (* -1 (* t (PI)))>
#<alt (* -1 (* t (PI)))>
#<alt (* -1 (* t (PI)))>
#<alt (* -1 (* t (PI)))>
#<alt (* -1 (* t (PI)))>
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#<alt (* -1 (* t (PI)))>
#<alt (* -1 (* t (PI)))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (/ 5 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))>
#<alt (/ 5 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt 2))>
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#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3))))))))>
#<alt (* t (* v (sqrt -6)))>
#<alt (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))>
#<alt (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))>
#<alt (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* t (* v (sqrt -6))))>
#<alt (* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
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#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (* (PI) (sqrt 2)))>
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#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))>
#<alt (* t (* v (* (PI) (sqrt -6))))>
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#<alt (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* t (* v (* (PI) (sqrt -6)))))>
#<alt (* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt 1>
#<alt (+ 1 (pow v 2))>
#<alt (+ 1 (* (pow v 2) (+ 1 (pow v 2))))>
#<alt (+ 1 (* (pow v 2) (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))>
#<alt (/ -1 (pow v 2))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))>
#<alt (/ -1 (pow v 2))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))>
Calls

75 calls:

TimeVariablePointExpression
10.0ms
v
@inf
(/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v))))
2.0ms
t
@0
(/ -1 (* (- 0 (* (PI) t)) (pow 1/2 -1/2)))
1.0ms
v
@inf
(/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))))
1.0ms
t
@0
(/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v))))
1.0ms
v
@0
(/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))))

rewrite453.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
3506×/-lowering-/.f32
3506×/-lowering-/.f64
3046×*-lowering-*.f32
3046×*-lowering-*.f64
1206×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040167
1233157
21823156
08472156
Stop Event
iter limit
node limit
Counts
22 → 937
Calls
Call 1
Inputs
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))) (- 1 (* v v)))
(/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))))
(+ 1 (* v (* v -5)))
(* v (* v -5))
(/ (/ (sqrt 1/2) t) (PI))
(/ (sqrt 1/2) t)
(sqrt 1/2)
(PI)
(/ 1 (/ t (/ (sqrt 1/2) (PI))))
(/ t (/ (sqrt 1/2) (PI)))
(/ (sqrt 1/2) (PI))
(/ -1 (* (- 0 (* (PI) t)) (pow 1/2 -1/2)))
(* (- 0 (* (PI) t)) (pow 1/2 -1/2))
(- 0 (* (PI) t))
(* (PI) t)
(/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v))))
(/ (+ 1 (* v (* v -5))) (/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v)))))
(* t (sqrt (+ 2 (* (* v v) -6))))
(* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))
(* (* v v) -6)
(* t (* (PI) (sqrt 2)))
(/ 1 (- 1 (* v v)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))))
(neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -125 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) (+.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v v)) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -125 binary64))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal -1 binary64)) (*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) (neg.f64 (*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -125 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 v v)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -125 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -125 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64))))))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal -1/2 binary64)))
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t)
(*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))
(*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) t)
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 v (*.f64 v #s(literal -6 binary64)))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal -6 binary64)) v)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)
(*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -1 binary64)))

simplify372.0ms (3.4%)

Algorithm
egg-herbie
Rules
5242×*-lowering-*.f32
5242×*-lowering-*.f64
2516×/-lowering-/.f32
2516×/-lowering-/.f64
2040×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03594698
112214016
252474000
081564000
Stop Event
iter limit
node limit
Counts
300 → 300
Calls
Call 1
Inputs
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
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1
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Outputs
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(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
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(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2)))
(+.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 t (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2))))))
(+.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)))) (*.f64 #s(literal -3 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64)))))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3))))))))
(+.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 t (*.f64 v v)) #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)))))))
(* t (* v (sqrt -6)))
(*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 t v))
(* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))
(*.f64 v (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))
(*.f64 v (+.f64 (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))
(*.f64 v (+.f64 (+.f64 (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (/.f64 t (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))))
(* -1 (* t (* v (sqrt -6))))
(*.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))) (-.f64 #s(literal 0 binary64) t))
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))
(*.f64 (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))
(-.f64 #s(literal 0 binary64) (*.f64 v (+.f64 (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))))))
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))))
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (/.f64 t (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (-.f64 #s(literal 0 binary64) v))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))
(+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 t (*.f64 v v))) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))
(+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (/.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal -9/4 binary64)) (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))
(+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -27/2 binary64) (*.f64 (PI.f64) (*.f64 v v))) t) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)))))))
(* t (* v (* (PI) (sqrt -6))))
(*.f64 (*.f64 t (PI.f64)) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))
(*.f64 v (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(*.f64 v (+.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(*.f64 v (+.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (+.f64 (*.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))))
(* -1 (* t (* v (* (PI) (sqrt -6)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(*.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(*.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))
(*.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (+.f64 (*.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))) (-.f64 #s(literal 0 binary64) v))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (pow v 2))
(+.f64 (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (+ 1 (pow v 2))))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 v v) #s(literal 1 binary64)))))
(+ 1 (* (pow v 2) (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 v v) #s(literal 1 binary64))))))))
(/ -1 (pow v 2))
(/.f64 #s(literal -1 binary64) (*.f64 v v))
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 v v))
(/ -1 (pow v 2))
(/.f64 #s(literal -1 binary64) (*.f64 v v))
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 v v))

eval243.0ms (2.2%)

Compiler

Compiled 34456 to 3484 computations (89.9% saved)

prune183.0ms (1.6%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1526161542
Fresh7411
Picked325
Done022
Total1536241560
Accuracy
100.0%
Counts
1560 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
98.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t) (PI.f64))
98.2%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
99.4%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.6%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
97.8%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
97.8%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
97.9%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
98.5%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
98.4%
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
98.4%
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
98.4%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))
98.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
98.4%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
97.8%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))
98.3%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)))
98.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))
98.0%
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
97.9%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
98.5%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
97.9%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
97.7%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t))
Compiler

Compiled 712 to 558 computations (21.6% saved)

simplify200.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
cost-diff128
(/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
cost-diff128
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
cost-diff256
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)
cost-diff0
(pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t)
cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t) (PI.f64))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) t)
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
cost-diff0
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
cost-diff0
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
cost-diff0
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))
cost-diff0
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff0
(/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t)
cost-diff0
(/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
Rules
2952×*-lowering-*.f32
2952×*-lowering-*.f64
1614×fma-lowering-fma.f32
1614×fma-lowering-fma.f64
1588×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039223
185208
2194206
3502202
41884196
57051196
08575196
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t) (/ (PI) (+ 1 (* v (* v -5)))))
(/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t)
(/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v)))
(pow (+ 2 (* (* v v) -6)) -1/2)
(+ 2 (* (* v v) -6))
2
(* (* v v) -6)
(* v v)
v
-6
-1/2
(- 1 (* v v))
1
t
(/ (PI) (+ 1 (* v (* v -5))))
(PI)
(+ 1 (* v (* v -5)))
(* v (* v -5))
(* v -5)
-5
(/ (/ (sqrt 1/2) (PI)) t)
(/ (sqrt 1/2) (PI))
(sqrt 1/2)
1/2
(PI)
t
(/ (/ 1 t) (/ (PI) (sqrt 1/2)))
(/ 1 t)
1
t
(/ (PI) (sqrt 1/2))
(PI)
(sqrt 1/2)
1/2
(/ (/ (/ 1 (pow 1/2 -1/2)) t) (PI))
(/ (/ 1 (pow 1/2 -1/2)) t)
(/ 1 (pow 1/2 -1/2))
1
(pow 1/2 -1/2)
1/2
-1/2
t
(PI)
(/ -1 (* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2)))
-1
(* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2))
(- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t))
0
(- (/ (+ 1 (PI)) (/ 1 t)) t)
(/ (+ 1 (PI)) (/ 1 t))
(+ 1 (PI))
1
(PI)
(/ 1 t)
t
(pow 1/2 -1/2)
1/2
-1/2
Outputs
(/ (/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t) (/ (PI) (+ 1 (* v (* v -5)))))
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))))
(/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t)
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))
(/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v)))
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(pow (+ 2 (* (* v v) -6)) -1/2)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))
(+ 2 (* (* v v) -6))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
2
#s(literal 2 binary64)
(* (* v v) -6)
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* v v)
(*.f64 v v)
v
-6
#s(literal -6 binary64)
-1/2
#s(literal -1/2 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)
t
(/ (PI) (+ 1 (* v (* v -5))))
(/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))
(PI)
(PI.f64)
(+ 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 -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(/ (/ (sqrt 1/2) (PI)) t)
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
(/ (sqrt 1/2) (PI))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
t
(/ (/ 1 t) (/ (PI) (sqrt 1/2)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
1
#s(literal 1 binary64)
t
(/ (PI) (sqrt 1/2))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(PI)
(PI.f64)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ (/ (/ 1 (pow 1/2 -1/2)) t) (PI))
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
(/ (/ 1 (pow 1/2 -1/2)) t)
(/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/ 1 (pow 1/2 -1/2))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(pow 1/2 -1/2)
(pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)
t
(PI)
(PI.f64)
(/ -1 (* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2)))
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
-1
#s(literal -1 binary64)
(* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2))
(-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
(- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t))
(*.f64 t (-.f64 #s(literal 0 binary64) (PI.f64)))
0
#s(literal 0 binary64)
(- (/ (+ 1 (PI)) (/ 1 t)) t)
(*.f64 t (PI.f64))
(/ (+ 1 (PI)) (/ 1 t))
(*.f64 t (+.f64 #s(literal 1 binary64) (PI.f64)))
(+ 1 (PI))
(+.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
t
(pow 1/2 -1/2)
(pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)

localize253.0ms (2.3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
accuracy99.5%
(/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
accuracy99.4%
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)
accuracy99.3%
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
accuracy100.0%
(PI.f64)
accuracy99.4%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t) (PI.f64))
accuracy99.3%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t)
accuracy98.4%
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) t)
accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
accuracy100.0%
(PI.f64)
accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
accuracy100.0%
(PI.f64)
accuracy99.9%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
accuracy98.4%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
accuracy99.8%
(*.f64 v (*.f64 v #s(literal -5 binary64)))
accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
accuracy99.4%
(/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
accuracy99.4%
(/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t)
Results
195.0ms256×0valid
Compiler

Compiled 263 to 40 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-mult: 42.0ms (47.9% of total)
ival-div: 23.0ms (26.2% of total)
ival-pow: 11.0ms (12.6% of total)
ival-add: 4.0ms (4.6% of total)
ival-sub: 4.0ms (4.6% of total)
ival-sqrt: 2.0ms (2.3% of total)
ival-pi: 1.0ms (1.1% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.2%)

Counts
21 → 204
Calls
Call 1
Inputs
#<alt (/ (/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t) (/ (PI) (+ 1 (* v (* v -5)))))>
#<alt (/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t)>
#<alt (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v)))>
#<alt (pow (+ 2 (* (* v v) -6)) -1/2)>
#<alt (/ (/ (sqrt 1/2) (PI)) t)>
#<alt (/ (sqrt 1/2) (PI))>
#<alt (sqrt 1/2)>
#<alt (PI)>
#<alt (/ (/ 1 t) (/ (PI) (sqrt 1/2)))>
#<alt (/ 1 t)>
#<alt (/ (PI) (sqrt 1/2))>
#<alt (/ (/ (/ 1 (pow 1/2 -1/2)) t) (PI))>
#<alt (/ (/ 1 (pow 1/2 -1/2)) t)>
#<alt (/ 1 (pow 1/2 -1/2))>
#<alt (pow 1/2 -1/2)>
#<alt (- (/ (+ 1 (PI)) (/ 1 t)) t)>
#<alt (/ -1 (* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2)))>
#<alt (/ (+ 1 (PI)) (/ 1 t))>
#<alt (* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2))>
#<alt (* (* v v) -6)>
#<alt (* v (* v -5))>
Outputs
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)>
#<alt (* -5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (/ (sqrt 1/2) t)>
#<alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (/ (sqrt 1/2) t))) (/ (sqrt 1/2) t))>
#<alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (/ (sqrt 1/2) t)))) (/ (sqrt 1/2) t))>
#<alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (/ (sqrt 1/2) t))))) (/ (sqrt 1/2) t)))) (/ (sqrt 1/2) t))>
#<alt (* -1 (/ (sqrt -1/6) (* t (pow v 3))))>
#<alt (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))))) (pow v 3))>
#<alt (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 4)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (sqrt -1/6))))) (+ (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))) (* 1/36 (/ 1 (* t (* (pow v 4) (sqrt -1/6)))))))))) (pow v 3))>
#<alt (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 4)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (sqrt -1/6))))) (+ (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))) (+ (/ 1/36 (* t (* (pow v 6) (sqrt -1/6)))) (* 1/36 (/ 1 (* t (* (pow v 4) (sqrt -1/6)))))))))))))) (pow v 3))>
#<alt (/ (sqrt -1/6) (* t (pow v 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))))) (pow v 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 4)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (sqrt -1/6))))) (+ (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))) (* 1/36 (/ 1 (* t (* (pow v 4) (sqrt -1/6)))))))))) (pow v 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 4)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (sqrt -1/6))))) (+ (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))) (+ (/ 1/36 (* t (* (pow v 6) (sqrt -1/6)))) (* 1/36 (/ 1 (* t (* (pow v 4) (sqrt -1/6)))))))))))))) (pow v 3)))>
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (sqrt 1/2) (* 3/4 (/ 1 (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (sqrt 1/2) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2))))))))))>
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (sqrt 1/2) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2)))))))))))))))>
#<alt (* -1 (/ (sqrt -1/6) (pow v 3)))>
#<alt (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (/ 1/36 (* (pow v 2) (sqrt -1/6))))) (pow v 3))>
#<alt (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (+ (* -1 (/ (sqrt -1/6) (pow v 4))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 2) (sqrt -1/6))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))))) (pow v 3))>
#<alt (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (+ (* -1 (/ (sqrt -1/6) (pow v 4))) (+ (* -1 (/ (sqrt -1/6) (pow v 6))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 2) (sqrt -1/6))) (+ (/ 1/36 (* (pow v 6) (sqrt -1/6))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))))))))) (pow v 3))>
#<alt (/ (sqrt -1/6) (pow v 3))>
#<alt (* -1 (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (/ 1/36 (* (pow v 2) (sqrt -1/6))))) (pow v 3)))>
#<alt (* -1 (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (+ (* -1 (/ (sqrt -1/6) (pow v 4))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 2) (sqrt -1/6))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))))) (pow v 3)))>
#<alt (* -1 (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (+ (* -1 (/ (sqrt -1/6) (pow v 4))) (+ (* -1 (/ (sqrt -1/6) (pow v 6))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 2) (sqrt -1/6))) (+ (/ 1/36 (* (pow v 6) (sqrt -1/6))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))))))))) (pow v 3)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 3/4 (/ (pow v 2) (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3/4 (/ 1 (sqrt 1/2))))))>
#<alt (/ (sqrt -1/6) v)>
#<alt (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)>
#<alt (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)>
#<alt (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)>
#<alt (* -1 (/ (sqrt -1/6) v))>
#<alt (* -1 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))>
#<alt (* -1 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))>
#<alt (* -1 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* -1 (* t (+ 1 (* -1 (+ 1 (PI))))))>
#<alt (* -1 (* t (+ 1 (* -1 (+ 1 (PI))))))>
#<alt (* -1 (* t (+ 1 (* -1 (+ 1 (PI))))))>
#<alt (* -1 (* t (+ 1 (* -1 (+ 1 (PI))))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))))>
#<alt (/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))))>
#<alt (/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))))>
#<alt (/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))))>
#<alt (* t (+ 1 (PI)))>
#<alt (* t (+ 1 (PI)))>
#<alt (* t (+ 1 (PI)))>
#<alt (* t (+ 1 (PI)))>
#<alt (* t (+ 1 (PI)))>
#<alt (* t (+ 1 (PI)))>
#<alt (* t (+ 1 (PI)))>
#<alt (* t (+ 1 (PI)))>
#<alt (* t (+ 1 (PI)))>
#<alt (* t (+ 1 (PI)))>
#<alt (* t (+ 1 (PI)))>
#<alt (* t (+ 1 (PI)))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (PI) (sqrt 2))))>
#<alt (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))>
#<alt (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))>
#<alt (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))>
#<alt (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
Calls

51 calls:

TimeVariablePointExpression
3.0ms
t
@-inf
(/ -1 (* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2)))
1.0ms
v
@inf
(/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t)
1.0ms
v
@inf
(/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v)))
1.0ms
t
@0
(/ -1 (* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2)))
1.0ms
v
@0
(/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t)

rewrite378.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
3640×/-lowering-/.f32
3640×/-lowering-/.f64
3216×*-lowering-*.f32
3216×*-lowering-*.f64
1440×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039141
1270129
22363124
08545124
Stop Event
iter limit
node limit
Counts
21 → 1157
Calls
Call 1
Inputs
(/ (/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t) (/ (PI) (+ 1 (* v (* v -5)))))
(/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t)
(/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v)))
(pow (+ 2 (* (* v v) -6)) -1/2)
(/ (/ (sqrt 1/2) (PI)) t)
(/ (sqrt 1/2) (PI))
(sqrt 1/2)
(PI)
(/ (/ 1 t) (/ (PI) (sqrt 1/2)))
(/ 1 t)
(/ (PI) (sqrt 1/2))
(/ (/ (/ 1 (pow 1/2 -1/2)) t) (PI))
(/ (/ 1 (pow 1/2 -1/2)) t)
(/ 1 (pow 1/2 -1/2))
(pow 1/2 -1/2)
(- (/ (+ 1 (PI)) (/ 1 t)) t)
(/ -1 (* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2)))
(/ (+ 1 (PI)) (/ 1 t))
(* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2))
(* (* v v) -6)
(* v (* v -5))
Outputs
(+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (*.f64 v (*.f64 v #s(literal -5 binary64)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) #s(literal -1 binary64)))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64))) t) (-.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) t))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))))) (/.f64 #s(literal -1 binary64) t))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) t)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64))) t)) (neg.f64 (-.f64 #s(literal 1 binary64) (PI.f64))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 t (+.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) t)
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) t))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (neg.f64 (/.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
(+.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (PI.f64))))) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64) (neg.f64 (/.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (PI.f64)))) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
(neg.f64 (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))))
(/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))))) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))
(/.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))))) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)))
(*.f64 v (*.f64 v #s(literal -6 binary64)))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal -6 binary64)) v)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal -5 binary64)) v)
(*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) v) (*.f64 v #s(literal -5 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal -5 binary64))) v)

simplify303.0ms (2.7%)

Algorithm
egg-herbie
Rules
4356×*-lowering-*.f32
4356×*-lowering-*.f64
3976×+-lowering-+.f64
3976×+-lowering-+.f32
2366×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03553610
111872833
250552771
080412771
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ (sqrt 1/2) t)
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (/ (sqrt 1/2) t))) (/ (sqrt 1/2) t))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (/ (sqrt 1/2) t)))) (/ (sqrt 1/2) t))
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (/ (sqrt 1/2) t))))) (/ (sqrt 1/2) t)))) (/ (sqrt 1/2) t))
(* -1 (/ (sqrt -1/6) (* t (pow v 3))))
(/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))))) (pow v 3))
(/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 4)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (sqrt -1/6))))) (+ (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))) (* 1/36 (/ 1 (* t (* (pow v 4) (sqrt -1/6)))))))))) (pow v 3))
(/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 4)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (sqrt -1/6))))) (+ (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))) (+ (/ 1/36 (* t (* (pow v 6) (sqrt -1/6)))) (* 1/36 (/ 1 (* t (* (pow v 4) (sqrt -1/6)))))))))))))) (pow v 3))
(/ (sqrt -1/6) (* t (pow v 3)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))))) (pow v 3)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 4)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (sqrt -1/6))))) (+ (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))) (* 1/36 (/ 1 (* t (* (pow v 4) (sqrt -1/6)))))))))) (pow v 3)))
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 4)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (sqrt -1/6))))) (+ (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))) (+ (/ 1/36 (* t (* (pow v 6) (sqrt -1/6)))) (* 1/36 (/ 1 (* t (* (pow v 4) (sqrt -1/6)))))))))))))) (pow v 3)))
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* (pow v 2) (+ (sqrt 1/2) (* 3/4 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* (pow v 2) (+ (sqrt 1/2) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2))))))))))
(+ (sqrt 1/2) (* (pow v 2) (+ (sqrt 1/2) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2)))))))))))))))
(* -1 (/ (sqrt -1/6) (pow v 3)))
(/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (/ 1/36 (* (pow v 2) (sqrt -1/6))))) (pow v 3))
(/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (+ (* -1 (/ (sqrt -1/6) (pow v 4))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 2) (sqrt -1/6))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))))) (pow v 3))
(/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (+ (* -1 (/ (sqrt -1/6) (pow v 4))) (+ (* -1 (/ (sqrt -1/6) (pow v 6))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 2) (sqrt -1/6))) (+ (/ 1/36 (* (pow v 6) (sqrt -1/6))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))))))))) (pow v 3))
(/ (sqrt -1/6) (pow v 3))
(* -1 (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (/ 1/36 (* (pow v 2) (sqrt -1/6))))) (pow v 3)))
(* -1 (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (+ (* -1 (/ (sqrt -1/6) (pow v 4))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 2) (sqrt -1/6))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))))) (pow v 3)))
(* -1 (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (+ (* -1 (/ (sqrt -1/6) (pow v 4))) (+ (* -1 (/ (sqrt -1/6) (pow v 6))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 2) (sqrt -1/6))) (+ (/ 1/36 (* (pow v 6) (sqrt -1/6))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))))))))) (pow v 3)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 3/4 (/ (pow v 2) (sqrt 1/2))))
(+ (sqrt 1/2) (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* (pow v 2) (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3/4 (/ 1 (sqrt 1/2))))))
(/ (sqrt -1/6) v)
(/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)
(/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)
(/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)
(* -1 (/ (sqrt -1/6) v))
(* -1 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))
(* -1 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))
(* -1 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* -1 (* t (+ 1 (* -1 (+ 1 (PI))))))
(* -1 (* t (+ 1 (* -1 (+ 1 (PI))))))
(* -1 (* t (+ 1 (* -1 (+ 1 (PI))))))
(* -1 (* t (+ 1 (* -1 (+ 1 (PI))))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))))
(/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))))
(/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))))
(/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))))
(* t (+ 1 (PI)))
(* t (+ 1 (PI)))
(* t (+ 1 (PI)))
(* t (+ 1 (PI)))
(* t (+ 1 (PI)))
(* t (+ 1 (PI)))
(* t (+ 1 (PI)))
(* t (+ 1 (PI)))
(* t (+ 1 (PI)))
(* t (+ 1 (PI)))
(* t (+ 1 (PI)))
(* t (+ 1 (PI)))
(* -1 (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (PI) (sqrt 2))))
(* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))
(* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))
(* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))
(* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
Outputs
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (-.f64 (/.f64 (/.f64 #s(literal 27/16 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 3 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 v (*.f64 v (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal -27/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 135/32 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))))) (-.f64 (/.f64 (/.f64 #s(literal 27/16 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 3 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))))))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (*.f64 (PI.f64) v)))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 v v) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/.f64 (+.f64 (/.f64 #s(literal -5/144 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (+.f64 (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 v v) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(/.f64 (+.f64 (/.f64 #s(literal -25/2592 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 6 binary64))))) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (*.f64 v v))))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 6 binary64))))))) (+.f64 (/.f64 #s(literal -5/144 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (+.f64 (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 v v) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 6 binary64))))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -5 binary64)) (*.f64 t (*.f64 (PI.f64) v)))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 v v) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) (-.f64 #s(literal 0 binary64) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
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(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (* t (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* -1 (* t (+ 1 (* -1 (+ 1 (PI))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t (PI.f64))))
(* -1 (* t (+ 1 (* -1 (+ 1 (PI))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t (PI.f64))))
(* -1 (* t (+ 1 (* -1 (+ 1 (PI))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t (PI.f64))))
(* -1 (* t (+ 1 (* -1 (+ 1 (PI))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t (PI.f64))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))))
(/.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))))
(/.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))))
(/.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))))
(/.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(* t (+ 1 (PI)))
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64)))
(* t (+ 1 (PI)))
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64)))
(* t (+ 1 (PI)))
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64)))
(* t (+ 1 (PI)))
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64)))
(* t (+ 1 (PI)))
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64)))
(* t (+ 1 (PI)))
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64)))
(* t (+ 1 (PI)))
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64)))
(* t (+ 1 (PI)))
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64)))
(* t (+ 1 (PI)))
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64)))
(* t (+ 1 (PI)))
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64)))
(* t (+ 1 (PI)))
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64)))
(* t (+ 1 (PI)))
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64)))
(* -1 (* t (* (PI) (sqrt 2))))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* t (* (PI) (sqrt 2))))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* t (* (PI) (sqrt 2))))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* t (* (PI) (sqrt 2))))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* t (* (PI) (sqrt 2))))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* t (* (PI) (sqrt 2))))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* t (* (PI) (sqrt 2))))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* t (* (PI) (sqrt 2))))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))

eval229.0ms (2.1%)

Compiler

Compiled 31185 to 3883 computations (87.5% saved)

prune195.0ms (1.8%)

Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New163051635
Fresh7815
Picked325
Done044
Total1640191659
Accuracy
100.0%
Counts
1659 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
97.9%
(/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
98.2%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
99.4%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.6%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
97.8%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
97.8%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
97.8%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
98.7%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t)
98.3%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
98.4%
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
98.4%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))
98.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
97.8%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))
98.3%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)))
98.5%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
98.4%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) t))
Compiler

Compiled 1047 to 405 computations (61.3% saved)

regimes65.0ms (0.6%)

Counts
46 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t) (PI.f64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) t))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64))
(/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Outputs
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
Calls

5 calls:

14.0ms
t
13.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
13.0ms
(*.f64 (PI.f64) t)
12.0ms
v
10.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.6%1v
99.6%1t
99.6%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.6%1(*.f64 v v)
99.6%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes45.0ms (0.4%)

Counts
38 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t) (PI.f64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) t))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
Calls

4 calls:

11.0ms
t
11.0ms
(*.f64 (PI.f64) t)
10.0ms
v
8.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.5%1v
99.5%1t
99.5%1(*.f64 v v)
99.5%1(*.f64 (PI.f64) t)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes43.0ms (0.4%)

Counts
37 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t) (PI.f64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) t))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
Calls

4 calls:

10.0ms
v
10.0ms
t
10.0ms
(*.f64 (PI.f64) t)
9.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.4%1v
99.4%1t
99.4%1(*.f64 v v)
99.4%1(*.f64 (PI.f64) t)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes40.0ms (0.4%)

Counts
36 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t) (PI.f64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) t))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t)
Calls

4 calls:

11.0ms
(*.f64 (PI.f64) t)
10.0ms
t
9.0ms
v
8.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.7%1v
98.7%1t
98.7%1(*.f64 v v)
98.7%1(*.f64 (PI.f64) t)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes15.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))
Calls

3 calls:

6.0ms
t
4.0ms
(*.f64 (PI.f64) t)
4.0ms
v
Results
AccuracySegmentsBranch
98.4%1v
98.4%1t
98.4%1(*.f64 (PI.f64) t)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
Calls

2 calls:

3.0ms
v
2.0ms
t
Results
AccuracySegmentsBranch
97.9%1v
97.9%1t
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
Outputs
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
Calls

2 calls:

2.0ms
v
2.0ms
t
Results
AccuracySegmentsBranch
97.8%1v
97.8%1t
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
Outputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
Calls

2 calls:

1.0ms
t
1.0ms
v
Results
AccuracySegmentsBranch
97.8%1v
97.8%1t
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
34×*-commutative_binary64
16×+-commutative_binary64
12×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044114
171114
286114
394114
499114
5100114
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
Outputs
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t))
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))

soundness2.1s (19.3%)

Rules
6000×*-lowering-*.f32
6000×*-lowering-*.f64
5020×*-lowering-*.f32
5020×*-lowering-*.f64
4342×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039141
1270129
22363124
08545124
01959
111257
284255
0844055
02322136
17671801
235061765
081011765
035219
1208200
21647200
08337200
040167
1233157
21823156
08472156
01925
15825
219122
394721
4497020
0832920
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 258 to 165 computations (36% saved)

preprocess111.0ms (1%)

Remove

(negabs t)

(abs v)

Compiler

Compiled 852 to 504 computations (40.8% saved)

end0.0ms (0%)

Profiling

Loading profile data...