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

Time bar (total: 12.8s)

analyze70.0ms (0.5%)

Algorithm
1×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: 38.0ms
ival-mult: 22.0ms (58.4% of total)
ival-sub: 7.0ms (18.6% of total)
ival-sqrt: 3.0ms (8% of total)
ival-pi: 2.0ms (5.3% of total)
ival-div: 2.0ms (5.3% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

sample2.0s (15.5%)

Results
1.6s8256×0valid
1.0ms11×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-div: 576.0ms (44.2% of total)
ival-mult: 441.0ms (33.9% of total)
ival-sub: 154.0ms (11.8% of total)
ival-sqrt: 66.0ms (5.1% of total)
ival-pi: 41.0ms (3.1% of total)
const: 22.0ms (1.7% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess311.0ms (2.4%)

Algorithm
2×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
1×iter limit
1×node limit
1×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)

explain400.0ms (3.1%)

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
280.0ms512×0valid
Compiler

Compiled 282 to 59 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 23.0ms (38.7% of total)
ival-sqrt: 22.0ms (37% of total)
ival-sub: 8.0ms (13.4% of total)
ival-div: 3.0ms (5% of total)
ival-pi: 2.0ms (3.4% of total)
const: 1.0ms (1.7% 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)

simplify209.0ms (1.6%)

Algorithm
1×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
1×iter limit
1×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))

localize137.0ms (1.1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal 6 binary64))
✓accuracy99.6%
(*.f64 (PI.f64) t)
✓accuracy99.5%
(/.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)))))
✓accuracy99.3%
(*.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
115.0ms256×0valid
Compiler

Compiled 114 to 20 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-sub: 47.0ms (56.7% of total)
ival-pi: 19.0ms (22.9% of total)
ival-mult: 11.0ms (13.3% of total)
ival-div: 2.0ms (2.4% of total)
ival-sqrt: 2.0ms (2.4% of total)
ival-add: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series36.0ms (0.3%)

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
20.0ms
v
@inf
(/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))))
3.0ms
t
@0
(/ (+ 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))))

rewrite496.0ms (3.9%)

Algorithm
1×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
1×iter limit
1×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)))
(*.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.f64))
(*.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)

simplify415.0ms (3.2%)

Algorithm
1×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
1×iter limit
1×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)))

eval121.0ms (0.9%)

Compiler

Compiled 20147 to 1467 computations (92.7% saved)

prune133.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New5307537
Fresh000
Picked101
Done000
Total5317538
Accuracy
100.0%
Counts
538 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(/.f64 (/.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))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
▶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))
▶99.7%
(/.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)))
▶98.6%
(/.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))))
▶98.1%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
99.7%
(*.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 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) (/.f64 #s(literal 1 binary64) t))
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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (/.f64 #s(literal 1 binary64) (PI.f64)))
Compiler

Compiled 336 to 234 computations (30.4% saved)

simplify191.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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) t))
✓cost-diff0
(/.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)))
✓cost-diff0
(/.f64 (/.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))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 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 (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 t (PI.f64)) (sqrt.f64 #s(literal 2 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
2650×fma-define
2498×*-lowering-*.f32
2498×*-lowering-*.f64
1586×fma-lowering-fma.f32
1586×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033345
178321
2166321
3400315
41098315
51959315
65210315
08234315
Stop Event
1×iter limit
1×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))) (* (* t (PI)) (sqrt 2)))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(* (* t (PI)) (sqrt 2))
(* t (PI))
t
(PI)
(sqrt 2)
2
(/ (/ (+ 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)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))
(/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (- 1 (* v v)))
(/ (+ 1 (* v (* v -5))) (* (PI) t))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(* (PI) t)
(PI)
t
(- 1 (* v v))
(* v v)
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
2
(* (* v v) -6)
-6
Outputs
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ (+ 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 v (*.f64 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 v (*.f64 v #s(literal -6 binary64)))))
(+ 2 (* (* v v) -6))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
2
#s(literal 2 binary64)
(* (* v v) -6)
(*.f64 v (*.f64 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))) (* (* t (PI)) (sqrt 2)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(+ 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))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (PI))
(*.f64 (PI.f64) t)
t
(PI)
(PI.f64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v)))) (* (PI) t))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ (+ 1 (* v (* v -5))) (* (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 v (*.f64 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 v (*.f64 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 v (*.f64 v #s(literal -6 binary64)))))
(+ 2 (* (* v v) -6))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
2
#s(literal 2 binary64)
(* (* v v) -6)
(*.f64 v (*.f64 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)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (- 1 (* v v)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/ (+ 1 (* v (* v -5))) (* (PI) t))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.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)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* v v)
(*.f64 v v)
(sqrt (+ 2 (* (* v v) -6)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))
(+ 2 (* (* v v) -6))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
2
#s(literal 2 binary64)
(* (* v v) -6)
(*.f64 v (*.f64 v #s(literal -6 binary64)))
-6
#s(literal -6 binary64)

localize405.0ms (3.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
✓accuracy99.6%
(*.f64 (PI.f64) t)
✓accuracy99.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t))
✓accuracy99.3%
(/.f64 (/.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))) (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)
✓accuracy99.2%
(/.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)))
✓accuracy99.6%
(*.f64 t (PI.f64))
✓accuracy99.5%
(/.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))))
✓accuracy99.3%
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(*.f64 t (PI.f64))
✓accuracy99.2%
(/.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))
✓accuracy99.4%
(/.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)))
✓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))
Results
277.0ms256×0valid
Compiler

Compiled 393 to 34 computations (91.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-div: 52.0ms (64.8% of total)
ival-mult: 16.0ms (19.9% of total)
ival-sqrt: 6.0ms (7.5% of total)
ival-add: 3.0ms (3.7% of total)
ival-pi: 1.0ms (1.2% of total)
ival-sub: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series38.0ms (0.3%)

Counts
19 → 288
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))) (* (* t (PI)) (sqrt 2)))>
#<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 (/ (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))>
#<alt (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (- 1 (* v v)))>
#<alt (/ (+ 1 (* v (* v -5))) (* (PI) t))>
#<alt (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t))>
#<alt (* (* v v) -6)>
#<alt (* (* t (PI)) (sqrt 2))>
#<alt (* (PI) t)>
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 (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 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 (/ (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)>
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (* -4 (sqrt 1/2)) (* 3/4 (/ 1 (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (* -4 (sqrt 1/2)) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (- (+ (* -4 (sqrt 1/2)) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (* 3 (/ 1 (sqrt 1/2)))))))))>
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (* -4 (sqrt 1/2)) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (- (+ (* -4 (sqrt 1/2)) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* (pow v 2) (- (+ (* -4 (sqrt 1/2)) (+ (* -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 (/ 1 (sqrt 1/2))))))) (* 3 (/ 1 (sqrt 1/2)))))))))>
#<alt (* 5 (/ (sqrt -1/6) v))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (* 5 (sqrt -1/6))) (/ 5/36 (* (pow v 2) (sqrt -1/6)))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (+ (* 4 (/ (sqrt -1/6) (pow v 4))) (* 5 (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (* 1/9 (/ 1 (* (pow v 4) (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)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (+ (* 4 (/ (sqrt -1/6) (pow v 4))) (+ (* 4 (/ (sqrt -1/6) (pow v 6))) (* 5 (sqrt -1/6)))))))) (+ (/ 1/9 (* (pow v 6) (sqrt -1/6))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (* 1/9 (/ 1 (* (pow v 4) (sqrt -1/6))))))) v)>
#<alt (* -5 (/ (sqrt -1/6) v))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (* 5 (sqrt -1/6))) (/ 5/36 (* (pow v 2) (sqrt -1/6)))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (+ (* 4 (/ (sqrt -1/6) (pow v 4))) (* 5 (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (* 1/9 (/ 1 (* (pow v 4) (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)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (+ (* 4 (/ (sqrt -1/6) (pow v 4))) (+ (* 4 (/ (sqrt -1/6) (pow v 6))) (* 5 (sqrt -1/6)))))))) (+ (/ 1/9 (* (pow v 6) (sqrt -1/6))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (* 1/9 (/ 1 (* (pow v 4) (sqrt -1/6))))))) v))>
#<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 (* t (PI)))>
#<alt (+ (* -4 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))>
#<alt (+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (PI)))) (* 4 (/ 1 (* t (PI)))))) (/ 1 (* t (PI))))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (PI)))) (* 4 (/ 1 (* t (PI)))))) (* 4 (/ 1 (* t (PI)))))) (/ 1 (* t (PI))))>
#<alt (/ 5 (* t (PI)))>
#<alt (+ (* 5 (/ 1 (* t (PI)))) (* 4 (/ 1 (* t (* (pow v 2) (PI))))))>
#<alt (+ (* 5 (/ 1 (* t (PI)))) (+ (/ 4 (* t (* (pow v 2) (PI)))) (/ 4 (* t (* (pow v 4) (PI))))))>
#<alt (+ (* 5 (/ 1 (* t (PI)))) (+ (* 4 (/ 1 (* t (* (pow v 4) (PI))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (PI))))) (/ 4 (* t (* (pow v 2) (PI)))))))>
#<alt (/ 5 (* t (PI)))>
#<alt (+ (* 5 (/ 1 (* t (PI)))) (* 4 (/ 1 (* t (* (pow v 2) (PI))))))>
#<alt (+ (* 5 (/ 1 (* t (PI)))) (+ (/ 4 (* t (* (pow v 2) (PI)))) (/ 4 (* t (* (pow v 4) (PI))))))>
#<alt (+ (* 5 (/ 1 (* t (PI)))) (+ (* 4 (/ 1 (* t (* (pow v 4) (PI))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (PI))))) (/ 4 (* t (* (pow v 2) (PI)))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2)))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2)))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2)))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2)))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2)))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2)))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2)))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2)))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2)))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2)))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2)))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2)))))>
#<alt (/ 1 (* t (PI)))>
#<alt (+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))>
#<alt (+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))>
#<alt (+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))>
#<alt (* -5 (/ (pow v 2) (* t (PI))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))>
#<alt (* -5 (/ (pow v 2) (* t (PI))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))>
#<alt (* t (sqrt 2))>
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2))))))>
#<alt (+ (* 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)))))))))>
#<alt (+ (* 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))))))))))))>
#<alt (* -1 (* t (* (pow v 3) (sqrt -6))))>
#<alt (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))>
#<alt (* (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 (* (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 (* (pow v 3) (sqrt -6)))>
#<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)))>
#<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))>
#<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))>
Calls

72 calls:

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

rewrite468.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
3714×*-lowering-*.f32
3714×*-lowering-*.f64
3598×/-lowering-/.f32
3598×/-lowering-/.f64
1124×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033186
1198172
21586172
08324172
Stop Event
1×iter limit
1×node limit
Counts
19 → 962
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))) (* (* t (PI)) (sqrt 2)))
(* 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))))
(/ (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))
(/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (- 1 (* v v)))
(/ (+ 1 (* v (* v -5))) (* (PI) t))
(* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t))
(* (* v v) -6)
(* (* t (PI)) (sqrt 2))
(* (PI) t)
Outputs
(exp.f64 (*.f64 (log.f64 (/.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 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64)))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64))))
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(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) t) (+.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 (*.f64 v v) #s(literal 5 binary64)))))
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(neg.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(/.f64 t (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (*.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))
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64)) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64)) t) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(*.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(*.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))
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64)) t))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64))))
(*.f64 t (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (*.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))
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t)
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (neg.f64 (-.f64 #s(literal 0 binary64) t)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64))) (*.f64 t (+.f64 (*.f64 v v) #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 (*.f64 v v) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) t))
(*.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 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(*.f64 (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (neg.f64 (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 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 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)))
(/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 t (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t))
(*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) t) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)))
(*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(-.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 #s(literal 1 binary64) (*.f64 (PI.f64) t)))
(/.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 (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 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) 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))

simplify418.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
4818×*-lowering-*.f32
4818×*-lowering-*.f64
3666×+-lowering-+.f64
3666×+-lowering-+.f32
2260×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03596252
111595152
247345138
080235138
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
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 (PI))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
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))
(/ (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)))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
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(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 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))
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 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 #s(literal 3/4 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 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 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 #s(literal 3/4 binary64) (*.f64 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 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (/.f64 #s(literal 135/32 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (+.f64 (/.f64 #s(literal -27/4 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal -3 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))) (+.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal -3 binary64) (*.f64 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 (/.f64 #s(literal -5/36 binary64) t) (*.f64 (PI.f64) (*.f64 v (*.f64 v (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 #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 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (/.f64 (/.f64 #s(literal -5/144 binary64) (*.f64 t (pow.f64 v #s(literal 4 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal -5/36 binary64) t) (*.f64 (PI.f64) (*.f64 v (*.f64 v (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 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) (*.f64 t (pow.f64 v #s(literal 4 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 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 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal -5/36 binary64) t) (*.f64 (PI.f64) (*.f64 v (*.f64 v (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 4 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 (/.f64 #s(literal -5/36 binary64) t) (*.f64 (PI.f64) (*.f64 v (*.f64 v (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))
(/.f64 (+.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 (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 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (/.f64 (/.f64 #s(literal -5/144 binary64) (*.f64 t (pow.f64 v #s(literal 4 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal -5/36 binary64) t) (*.f64 (PI.f64) (*.f64 v (*.f64 v (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 4 binary64))))))) (-.f64 #s(literal 0 binary64) 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))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal -5/144 binary64) (*.f64 t (pow.f64 v #s(literal 4 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 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 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal -5/36 binary64) t) (*.f64 (PI.f64) (*.f64 v (*.f64 v (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 4 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)))))))) (-.f64 #s(literal 0 binary64) v))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (PI.f64)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (PI.f64)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (PI.f64)))
(* -5 (/ (pow v 2) (PI)))
(/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (PI.f64))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 #s(literal -5 binary64) (PI.f64))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 #s(literal -5 binary64) (PI.f64))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 #s(literal -5 binary64) (PI.f64))))
(* -5 (/ (pow v 2) (PI)))
(/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (PI.f64))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 #s(literal -5 binary64) (PI.f64))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
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(*.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))
(*.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))

eval514.0ms (4%)

Compiler

Compiled 53955 to 3207 computations (94.1% saved)

prune423.0ms (3.3%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1851121863
Fresh202
Picked235
Done000
Total1855151870
Accuracy
100.0%
Counts
1870 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))
✓99.5%
(/.f64 (/.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))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓99.7%
(/.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)))
98.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
▶98.8%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
98.1%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
▶98.1%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
▶99.2%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (/.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓98.1%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
98.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
▶98.6%
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
98.1%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)))
98.7%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
98.2%
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
▶98.1%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
Compiler

Compiled 400 to 319 computations (20.3% saved)

simplify37.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal -5 binary64) (*.f64 v v))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t)
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) t)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (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)) t)
✓cost-diff0
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
✓cost-diff0
(*.f64 t (PI.f64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (/.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t) (PI.f64)))
✓cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (/.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
Rules
262×*-lowering-*.f32
262×*-lowering-*.f64
138×/-lowering-/.f32
138×/-lowering-/.f64
82×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034187
174181
2151179
3268178
4326178
5348178
6376178
7376178
0376178
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (+ (/ 1 (* t (PI))) (/ (/ (* (* v v) -4) t) (PI))) (sqrt (+ 2 (* (* v v) -6))))
(+ (/ 1 (* t (PI))) (/ (/ (* (* v v) -4) t) (PI)))
(/ 1 (* t (PI)))
1
(* t (PI))
t
(PI)
(/ (/ (* (* v v) -4) t) (PI))
(/ (* (* v v) -4) t)
(* (* v v) -4)
(* v v)
v
-4
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
2
(* (* v v) -6)
-6
(/ (/ (sqrt 1/2) t) (PI))
(/ (sqrt 1/2) t)
(sqrt 1/2)
1/2
t
(PI)
(* (/ 1 (* (PI) t)) (sqrt 1/2))
(/ 1 (* (PI) t))
1
(* (PI) t)
(PI)
t
(sqrt 1/2)
1/2
(/ 1 (* t (* (PI) (sqrt 2))))
1
(* t (* (PI) (sqrt 2)))
t
(* (PI) (sqrt 2))
(PI)
(sqrt 2)
2
(/ (/ (+ 1 (* -5 (* v v))) t) (* (PI) (sqrt 2)))
(/ (+ 1 (* -5 (* v v))) t)
(+ 1 (* -5 (* v v)))
1
(* -5 (* v v))
-5
(* v v)
v
t
(* (PI) (sqrt 2))
(PI)
(sqrt 2)
2
Outputs
(/ (+ (/ 1 (* t (PI))) (/ (/ (* (* v v) -4) t) (PI))) (sqrt (+ 2 (* (* v v) -6))))
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 v (*.f64 v #s(literal -4 binary64))) t) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(+ (/ 1 (* t (PI))) (/ (/ (* (* v v) -4) t) (PI)))
(+.f64 (/.f64 (/.f64 (*.f64 v (*.f64 v #s(literal -4 binary64))) t) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))))
(/ 1 (* t (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
1
#s(literal 1 binary64)
(* t (PI))
(*.f64 t (PI.f64))
t
(PI)
(PI.f64)
(/ (/ (* (* v v) -4) t) (PI))
(/.f64 (/.f64 (*.f64 v (*.f64 v #s(literal -4 binary64))) t) (PI.f64))
(/ (* (* v v) -4) t)
(/.f64 (*.f64 v (*.f64 v #s(literal -4 binary64))) t)
(* (* v v) -4)
(*.f64 v (*.f64 v #s(literal -4 binary64)))
(* v v)
(*.f64 v v)
v
-4
#s(literal -4 binary64)
(sqrt (+ 2 (* (* v v) -6)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))
(+ 2 (* (* v v) -6))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
2
#s(literal 2 binary64)
(* (* v v) -6)
(*.f64 v (*.f64 v #s(literal -6 binary64)))
-6
#s(literal -6 binary64)
(/ (/ (sqrt 1/2) t) (PI))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/ (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 (* (PI) t)) (sqrt 1/2))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/ 1 (* (PI) t))
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
1
#s(literal 1 binary64)
(* (PI) t)
(*.f64 t (PI.f64))
(PI)
(PI.f64)
t
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (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 (* -5 (* v v))) t) (* (PI) (sqrt 2)))
(/.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)))))
(/ (+ 1 (* -5 (* v v))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)
(+ 1 (* -5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* -5 (* v v))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
-5
#s(literal -5 binary64)
(* v v)
(*.f64 v v)
v
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)

localize236.0ms (1.8%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t)
✓accuracy99.7%
(*.f64 #s(literal -5 binary64) (*.f64 v v))
✓accuracy99.6%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(*.f64 (PI.f64) t)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.5%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
✓accuracy99.3%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
✓accuracy99.6%
(*.f64 t (PI.f64))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
✓accuracy99.3%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (/.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓accuracy86.0%
(/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t)
Results
183.0ms256×0valid
Compiler

Compiled 212 to 35 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 18.0ms (39.3% of total)
ival-mult: 16.0ms (34.9% of total)
ival-sqrt: 6.0ms (13.1% of total)
ival-add: 4.0ms (8.7% of total)
ival-pi: 1.0ms (2.2% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.3%)

Counts
20 → 252
Calls
Call 1
Inputs
#<alt (/ (+ (/ 1 (* t (PI))) (/ (/ (* (* v v) -4) t) (PI))) (sqrt (+ 2 (* (* v v) -6))))>
#<alt (+ (/ 1 (* t (PI))) (/ (/ (* (* v v) -4) t) (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (* t (PI))>
#<alt (/ (/ (sqrt 1/2) t) (PI))>
#<alt (/ (sqrt 1/2) t)>
#<alt (sqrt 1/2)>
#<alt (PI)>
#<alt (* (/ 1 (* (PI) t)) (sqrt 1/2))>
#<alt (/ 1 (* (PI) t))>
#<alt (* (PI) t)>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* (PI) (sqrt 2))>
#<alt (/ (/ (+ 1 (* -5 (* v v))) t) (* (PI) (sqrt 2)))>
#<alt (/ (+ 1 (* -5 (* v v))) t)>
#<alt (+ 1 (* -5 (* v v)))>
#<alt (* -5 (* v v))>
#<alt (/ (* (* v v) -4) t)>
#<alt (sqrt 2)>
Outputs
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* -1 (* (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))>
#<alt (* -1 (* (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))>
#<alt (* -1 (* (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))>
#<alt (* -1 (* (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))>
#<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) (- (* 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) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (+ (* -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)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* -4 (/ (* v (sqrt -1/6)) (* t (PI))))>
#<alt (* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI)))))))>
#<alt (* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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 (* v (- (+ (* -4 (/ (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)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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 (* 4 (/ (* v (sqrt -1/6)) (* t (PI))))>
#<alt (* -1 (* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))>
#<alt (* -1 (* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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 (- (+ (* -4 (/ (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)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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 (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (* -1 (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t))>
#<alt (* -1 (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t))>
#<alt (* -1 (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t))>
#<alt (* -1 (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t))>
#<alt (/ 1 (* t (PI)))>
#<alt (+ (* -4 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))>
#<alt (+ (* -4 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))>
#<alt (+ (* -4 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))>
#<alt (* -4 (/ (pow v 2) (* t (PI))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))>
#<alt (* -4 (/ (pow v 2) (* t (PI))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 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)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<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 (/ (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)>
#<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 (/ 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)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<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 (/ 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 (* 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 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 t)>
#<alt (+ (* -5 (/ (pow v 2) t)) (/ 1 t))>
#<alt (+ (* -5 (/ (pow v 2) t)) (/ 1 t))>
#<alt (+ (* -5 (/ (pow v 2) t)) (/ 1 t))>
#<alt (* -5 (/ (pow v 2) t))>
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))>
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))>
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))>
#<alt (* -5 (/ (pow v 2) t))>
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))>
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))>
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) t)>
#<alt (/ (+ 1 (* -5 (pow v 2))) t)>
#<alt (/ (+ 1 (* -5 (pow v 2))) t)>
#<alt (/ (+ 1 (* -5 (pow v 2))) t)>
#<alt (/ (+ 1 (* -5 (pow v 2))) t)>
#<alt (/ (+ 1 (* -5 (pow v 2))) t)>
#<alt (/ (+ 1 (* -5 (pow v 2))) t)>
#<alt (/ (+ 1 (* -5 (pow v 2))) t)>
#<alt (/ (+ 1 (* -5 (pow v 2))) t)>
#<alt (/ (+ 1 (* -5 (pow v 2))) t)>
#<alt (/ (+ 1 (* -5 (pow v 2))) t)>
#<alt (/ (+ 1 (* -5 (pow v 2))) t)>
#<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 (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
#<alt (* -4 (/ (pow v 2) t))>
Calls

63 calls:

TimeVariablePointExpression
12.0ms
t
@-inf
(/ 1 (* t (* (PI) (sqrt 2))))
7.0ms
t
@0
(/ (+ 1 (* -5 (* v v))) t)
1.0ms
t
@0
(/ (+ (/ 1 (* t (PI))) (/ (/ (* (* v v) -4) t) (PI))) (sqrt (+ 2 (* (* v v) -6))))
1.0ms
v
@inf
(/ (+ (/ 1 (* t (PI))) (/ (/ (* (* v v) -4) t) (PI))) (sqrt (+ 2 (* (* v v) -6))))
1.0ms
t
@inf
(/ (+ (/ 1 (* t (PI))) (/ (/ (* (* v v) -4) t) (PI))) (sqrt (+ 2 (* (* v v) -6))))

rewrite339.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
3144×/-lowering-/.f32
3144×/-lowering-/.f64
2824×*-lowering-*.f32
2824×*-lowering-*.f64
1858×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034123
1203119
21920116
08522116
Stop Event
1×iter limit
1×node limit
Counts
20 → 728
Calls
Call 1
Inputs
(/ (+ (/ 1 (* t (PI))) (/ (/ (* (* v v) -4) t) (PI))) (sqrt (+ 2 (* (* v v) -6))))
(+ (/ 1 (* t (PI))) (/ (/ (* (* v v) -4) t) (PI)))
(/ 1 (* t (PI)))
(* t (PI))
(/ (/ (sqrt 1/2) t) (PI))
(/ (sqrt 1/2) t)
(sqrt 1/2)
(PI)
(* (/ 1 (* (PI) t)) (sqrt 1/2))
(/ 1 (* (PI) t))
(* (PI) t)
(/ 1 (* t (* (PI) (sqrt 2))))
(* t (* (PI) (sqrt 2)))
(* (PI) (sqrt 2))
(/ (/ (+ 1 (* -5 (* v v))) t) (* (PI) (sqrt 2)))
(/ (+ 1 (* -5 (* v v))) t)
(+ 1 (* -5 (* v v)))
(* -5 (* v v))
(/ (* (* v v) -4) t)
(sqrt 2)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (*.f64 t (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))) (*.f64 t (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t) (*.f64 (/.f64 (PI.f64) (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t)) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))) (*.f64 t (PI.f64)))) (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) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (*.f64 t (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 (*.f64 v v) #s(literal -4 binary64))) (*.f64 t (PI.f64))))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t) (*.f64 (/.f64 (PI.f64) (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t)) (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 (*.f64 v v) #s(literal -4 binary64))) (*.f64 t (PI.f64))))))
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64))))) (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 (*.f64 v v) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64))))) #s(literal 1 binary64))))
(/.f64 (+.f64 (PI.f64) (*.f64 t (*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 t (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 t (*.f64 t t))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -64 binary64)) (*.f64 t (*.f64 t t))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (*.f64 t (PI.f64))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (/.f64 (PI.f64) (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) (*.f64 (*.f64 t (PI.f64)) (*.f64 t (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 (*.f64 v v) #s(literal -4 binary64))) (*.f64 t (PI.f64)))))
(/.f64 (*.f64 (+.f64 (PI.f64) (*.f64 t (*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t)))) #s(literal 1 binary64)) (*.f64 (*.f64 t (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 t (*.f64 t t))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -64 binary64)) (*.f64 t (*.f64 t t))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (*.f64 t (PI.f64))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (/.f64 (PI.f64) (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal -5 binary64))) v #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
(*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v #s(literal -5 binary64)) v)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -5 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal -5 binary64))) v)
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 (*.f64 v v) #s(literal -4 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (/.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) t))
(neg.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 v v) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (*.f64 (*.f64 v v) #s(literal -4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 t (*.f64 (*.f64 v v) #s(literal -4 binary64))))))
(/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t (*.f64 (*.f64 v v) #s(literal -4 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) t))
(/.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64)) t)
(/.f64 (neg.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) t)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t))))
(pow.f64 (/.f64 t (*.f64 (*.f64 v v) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 t (*.f64 (*.f64 v v) #s(literal -4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t))
(*.f64 v (/.f64 (*.f64 v #s(literal -4 binary64)) t))
(*.f64 v (*.f64 v (/.f64 #s(literal -4 binary64) t)))
(*.f64 v (*.f64 (*.f64 v #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (*.f64 v v) (/.f64 #s(literal -4 binary64) t))
(*.f64 #s(literal -4 binary64) (/.f64 (*.f64 v v) t))
(*.f64 #s(literal -4 binary64) (*.f64 (*.f64 v v) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (*.f64 v v) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) t) (*.f64 v v))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))

simplify288.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
4630×*-lowering-*.f32
4630×*-lowering-*.f64
3486×/-lowering-/.f32
3486×/-lowering-/.f64
2424×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01712567
15162227
220612132
082502132
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* -1 (* (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* -1 (* (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* -1 (* (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* -1 (* (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -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) (- (* 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) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (+ (* -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)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* -4 (/ (* v (sqrt -1/6)) (* t (PI))))
(* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI)))))))
(* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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))))))))
(* v (- (+ (* -4 (/ (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)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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))))))))
(* 4 (/ (* v (sqrt -1/6)) (* t (PI))))
(* -1 (* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))
(* -1 (* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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)))))))))
(* -1 (* v (- (+ (* -4 (/ (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)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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)))))))))
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(* -1 (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t))
(* -1 (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t))
(* -1 (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t))
(* -1 (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t))
(/ 1 (* t (PI)))
(+ (* -4 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(+ (* -4 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(+ (* -4 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(* -4 (/ (pow v 2) (* t (PI))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))
(* -4 (/ (pow v 2) (* t (PI))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* 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 (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)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (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 (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
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(* t (PI))
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(* t (PI))
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(* t (PI))
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(* t (PI))
(* t (PI))
(* t (PI))
(* t (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 (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ 1 t)
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(+ (* -5 (/ (pow v 2) t)) (/ 1 t))
(* -5 (/ (pow v 2) t))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* -5 (/ (pow v 2) t))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
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))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
(* -4 (/ (pow v 2) t))
Outputs
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) t)
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) t)
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) t)
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) t)
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) t)
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) t)
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) t)
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) t)
(* -1 (* (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) t)
(* -1 (* (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) t)
(* -1 (* (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) t)
(* -1 (* (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) t)
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(+ (* (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 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))) (/.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 v v)) (*.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) (- (* 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 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))) (*.f64 v (*.f64 v (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 27/16 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal -3 binary64) t) (*.f64 (PI.f64) (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) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (+ (* -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)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))) (*.f64 v (*.f64 v (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 27/8 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 v v) #s(literal 135/32 binary64)) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 (/.f64 #s(literal -3 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))))))
(* -4 (/ (* v (sqrt -1/6)) (* t (PI))))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v (sqrt.f64 #s(literal -1/6 binary64)))) (*.f64 (PI.f64) t))
(* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI)))))))
(*.f64 v (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (PI.f64) t)) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) v) v)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 v (*.f64 v t)))))))
(* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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))))))))
(*.f64 v (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (PI.f64) t)) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 v (*.f64 v t)))) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) v) v)) #s(literal 0 binary64)))))
(* v (- (+ (* -4 (/ (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)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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))))))))
(*.f64 v (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (PI.f64) t)) (+.f64 (/.f64 (/.f64 #s(literal -1/144 binary64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t)) (/.f64 (/.f64 (/.f64 #s(literal 5/648 binary64) (pow.f64 v #s(literal 6 binary64))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 v (*.f64 v t)))) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) v) v)) #s(literal 0 binary64)))))
(* 4 (/ (* v (sqrt -1/6)) (* t (PI))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 v (sqrt.f64 #s(literal -1/6 binary64)))) (*.f64 (PI.f64) t))
(* -1 (* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))
(-.f64 #s(literal 0 binary64) (*.f64 v (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (PI.f64) t)) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) v) v)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 v (*.f64 v t))))))))
(* -1 (* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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)))))))))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (PI.f64) t)) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 v (*.f64 v t)))) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) v) v)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (- (+ (* -4 (/ (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)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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)))))))))
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (PI.f64) t)) (+.f64 (/.f64 (/.f64 #s(literal -1/144 binary64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t)) (/.f64 (/.f64 (/.f64 #s(literal 5/648 binary64) (pow.f64 v #s(literal 6 binary64))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 v (*.f64 v t)))) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) v) v)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) v))
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) t)
(* -1 (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) t)
(* -1 (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) t)
(* -1 (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) t)
(* -1 (/ (- (* 4 (/ (pow v 2) (PI))) (/ 1 (PI))) t))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) t)
(/ 1 (* t (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
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(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(+.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) t))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(+.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) t))
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))
(+.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) t))
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)
(/ (+ 1 (* -5 (pow v 2))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(+ 1 (* -5 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(+ 1 (* -5 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.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))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)
(* -4 (/ (pow v 2) t))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) t)

eval173.0ms (1.4%)

Compiler

Compiled 24266 to 2648 computations (89.1% saved)

prune132.0ms (1%)

Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New120991218
Fresh527
Picked235
Done033
Total1216171233
Accuracy
100.0%
Counts
1233 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))
✓99.5%
(/.f64 (/.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))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
98.6%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
▶99.3%
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
▶99.0%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
✓99.7%
(/.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)))
✓98.8%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
▶98.1%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
✓98.1%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
▶98.7%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))
99.1%
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (/.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
98.6%
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) t)
✓98.1%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
98.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)))
98.6%
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))))
98.1%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 t (PI.f64))))
✓98.1%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
Compiler

Compiled 484 to 368 computations (24% saved)

simplify352.0ms (2.8%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) t)
✓cost-diff0
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t))
✓cost-diff128
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))
✓cost-diff0
(*.f64 (*.f64 v v) #s(literal -5 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 t (PI.f64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 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
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) t)
✓cost-diff0
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓cost-diff128
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
Rules
3014×*-lowering-*.f32
3014×*-lowering-*.f64
2304×fma-define
2014×times-frac
1016×fma-lowering-fma.f32
Iterations

Useful iterations: 15 (0.0ms)

IterNodesCost
039214
184201
2156200
3309200
4666200
51443200
61903200
72056200
82636200
93107200
103339200
113363200
123728200
133953200
144389200
154565197
164664197
174693197
184701197
194701197
204805197
214822197
224856197
235089197
245423197
255522197
265582197
275733197
285734197
295734197
305734197
315740197
325742197
335742197
05742197
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (/ (+ (/ (* -4 (* v v)) (PI)) (/ 1 (PI))) t) (sqrt (+ 2 (* (* v v) -6))))
(/ (+ (/ (* -4 (* v v)) (PI)) (/ 1 (PI))) t)
(+ (/ (* -4 (* v v)) (PI)) (/ 1 (PI)))
(/ (* -4 (* v v)) (PI))
(* -4 (* v v))
-4
(* v v)
v
(PI)
(/ 1 (PI))
1
t
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
2
(* (* v v) -6)
-6
(/ (/ (sqrt 1/2) (PI)) t)
(/ (sqrt 1/2) (PI))
(sqrt 1/2)
1/2
(PI)
t
(/ (/ 1 (* t (PI))) (sqrt 2))
(/ 1 (* t (PI)))
1
(* t (PI))
t
(PI)
(sqrt 2)
2
(/ (/ (+ 1 (* (* v v) -5)) (* (PI) (sqrt 2))) t)
(/ (+ 1 (* (* v v) -5)) (* (PI) (sqrt 2)))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(* (PI) (sqrt 2))
(PI)
(sqrt 2)
2
t
(/ (/ (pow 2 -1/2) (* (PI) t)) (/ 1 (+ 1 (* -5 (* v v)))))
(/ (pow 2 -1/2) (* (PI) t))
(pow 2 -1/2)
2
-1/2
(* (PI) t)
(PI)
t
(/ 1 (+ 1 (* -5 (* v v))))
1
(+ 1 (* -5 (* v v)))
(* -5 (* v v))
-5
(* v v)
v
Outputs
(/ (/ (+ (/ (* -4 (* v v)) (PI)) (/ 1 (PI))) t) (sqrt (+ 2 (* (* v v) -6))))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (PI.f64)) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/ (+ (/ (* -4 (* v v)) (PI)) (/ 1 (PI))) t)
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (PI.f64)) t)
(+ (/ (* -4 (* v v)) (PI)) (/ 1 (PI)))
(/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (PI.f64))
(/ (* -4 (* v v)) (PI))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64))
(* -4 (* v v))
(*.f64 #s(literal -4 binary64) (*.f64 v v))
-4
#s(literal -4 binary64)
(* v v)
(*.f64 v v)
v
(PI)
(PI.f64)
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 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))
-6
#s(literal -6 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 2))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (* t (PI)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)
1
#s(literal 1 binary64)
(* t (PI))
(*.f64 (PI.f64) t)
t
(PI)
(PI.f64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (/ (+ 1 (* (* v v) -5)) (* (PI) (sqrt 2))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/ (+ 1 (* (* v v) -5)) (* (PI) (sqrt 2)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(* (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)
t
(/ (/ (pow 2 -1/2) (* (PI) t)) (/ 1 (+ 1 (* -5 (* v v)))))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(/ (pow 2 -1/2) (* (PI) t))
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64))
(pow 2 -1/2)
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
2
#s(literal 2 binary64)
-1/2
#s(literal -1/2 binary64)
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(/ 1 (+ 1 (* -5 (* v v))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* -5 (* v v))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
-5
#s(literal -5 binary64)
(* v v)
(*.f64 v v)
v

localize258.0ms (2%)

Localize:

Found 20 expressions of interest:

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

Compiled 245 to 40 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-add: 32.0ms (39.4% of total)
ival-div: 22.0ms (27.1% of total)
ival-mult: 14.0ms (17.2% of total)
ival-sqrt: 6.0ms (7.4% of total)
ival-pow: 4.0ms (4.9% of total)
ival-pi: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series16.0ms (0.1%)

Counts
23 → 264
Calls
Call 1
Inputs
#<alt (+ (/ (* -4 (* v v)) (PI)) (/ 1 (PI)))>
#<alt (/ (/ (+ (/ (* -4 (* v v)) (PI)) (/ 1 (PI))) t) (sqrt (+ 2 (* (* v v) -6))))>
#<alt (/ (+ (/ (* -4 (* v v)) (PI)) (/ 1 (PI))) t)>
#<alt (/ (* -4 (* v v)) (PI))>
#<alt (/ (/ (sqrt 1/2) (PI)) t)>
#<alt (/ (sqrt 1/2) (PI))>
#<alt (sqrt 1/2)>
#<alt (PI)>
#<alt (/ (/ 1 (* t (PI))) (sqrt 2))>
#<alt (/ 1 (* t (PI)))>
#<alt (* t (PI))>
#<alt (/ (/ (+ 1 (* (* v v) -5)) (* (PI) (sqrt 2))) t)>
#<alt (/ (+ 1 (* (* v v) -5)) (* (PI) (sqrt 2)))>
#<alt (+ 1 (* (* v v) -5))>
#<alt (* (* v v) -5)>
#<alt (/ (/ (pow 2 -1/2) (* (PI) t)) (/ 1 (+ 1 (* -5 (* v v)))))>
#<alt (/ (pow 2 -1/2) (* (PI) t))>
#<alt (pow 2 -1/2)>
#<alt (* (PI) t)>
#<alt (* (* v v) -6)>
#<alt (sqrt 2)>
#<alt (* -5 (* v v))>
#<alt (/ 1 (+ 1 (* -5 (* v v))))>
Outputs
#<alt (/ 1 (PI))>
#<alt (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI)))>
#<alt (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI)))>
#<alt (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI)))>
#<alt (* -4 (/ (pow v 2) (PI)))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))>
#<alt (* -4 (/ (pow v 2) (PI)))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (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) (- (* 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) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (+ (* -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)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* -4 (/ (* v (sqrt -1/6)) (* t (PI))))>
#<alt (* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI)))))))>
#<alt (* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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 (* v (- (+ (* -4 (/ (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)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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 (* 4 (/ (* v (sqrt -1/6)) (* t (PI))))>
#<alt (* -1 (* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))>
#<alt (* -1 (* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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 (- (+ (* -4 (/ (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)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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 (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (/ 1 (* t (PI)))>
#<alt (+ (* -4 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))>
#<alt (+ (* -4 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))>
#<alt (+ (* -4 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))>
#<alt (* -4 (/ (pow v 2) (* t (PI))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))>
#<alt (* -4 (/ (pow v 2) (* t (PI))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)>
#<alt (* -4 (/ (pow v 2) (PI)))>
#<alt (* -4 (/ (pow v 2) (PI)))>
#<alt (* -4 (/ (pow v 2) (PI)))>
#<alt (* -4 (/ (pow v 2) (PI)))>
#<alt (* -4 (/ (pow v 2) (PI)))>
#<alt (* -4 (/ (pow v 2) (PI)))>
#<alt (* -4 (/ (pow v 2) (PI)))>
#<alt (* -4 (/ (pow v 2) (PI)))>
#<alt (* -4 (/ (pow v 2) (PI)))>
#<alt (* -4 (/ (pow v 2) (PI)))>
#<alt (* -4 (/ (pow v 2) (PI)))>
#<alt (* -4 (/ (pow v 2) (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 (* (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)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<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 (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* (PI) (sqrt 2)))>
#<alt (+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2))))>
#<alt (+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2))))>
#<alt (+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2))))>
#<alt (* -5 (/ (pow v 2) (* (PI) (sqrt 2))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))>
#<alt (* -5 (/ (pow v 2) (* (PI) (sqrt 2))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 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 (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))>
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))>
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))>
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))>
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))>
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))>
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))>
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))>
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))>
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))>
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))>
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI))))>
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))>
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))>
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))>
#<alt (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI))))>
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))>
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))>
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (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 (* 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))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt 1>
#<alt (+ 1 (* 5 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (+ 5 (* 25 (pow v 2)))))>
#<alt (+ 1 (* (pow v 2) (+ 5 (* (pow v 2) (+ 25 (* 125 (pow v 2)))))))>
#<alt (/ -1/5 (pow v 2))>
#<alt (* -1 (/ (+ 1/5 (* 1/25 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 1/25 (* 1/125 (/ 1 (pow v 2)))) (pow v 2))) 1/5) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 1/125 (* 1/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 1/5 (* 1/25 (/ 1 (pow v 2))))) (pow v 2))>
#<alt (/ -1/5 (pow v 2))>
#<alt (* -1 (/ (+ 1/5 (* 1/25 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 1/25 (* 1/125 (/ 1 (pow v 2)))) (pow v 2))) 1/5) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 1/125 (* 1/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 1/5 (* 1/25 (/ 1 (pow v 2))))) (pow v 2))>
Calls

66 calls:

TimeVariablePointExpression
3.0ms
v
@0
(/ (/ (+ (/ (* -4 (* v v)) (PI)) (/ 1 (PI))) t) (sqrt (+ 2 (* (* v v) -6))))
1.0ms
t
@0
(/ (/ (+ (/ (* -4 (* v v)) (PI)) (/ 1 (PI))) t) (sqrt (+ 2 (* (* v v) -6))))
1.0ms
t
@inf
(/ (/ (+ (/ (* -4 (* v v)) (PI)) (/ 1 (PI))) t) (sqrt (+ 2 (* (* v v) -6))))
1.0ms
t
@0
(/ (/ (pow 2 -1/2) (* (PI) t)) (/ 1 (+ 1 (* -5 (* v v)))))
1.0ms
v
@inf
(/ (/ (pow 2 -1/2) (* (PI) t)) (/ 1 (+ 1 (* -5 (* v v)))))

rewrite362.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
3874×*-lowering-*.f32
3874×*-lowering-*.f64
3208×/-lowering-/.f32
3208×/-lowering-/.f64
1624×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039149
1256137
22067137
09177137
Stop Event
1×iter limit
1×node limit
Counts
23 → 918
Calls
Call 1
Inputs
(+ (/ (* -4 (* v v)) (PI)) (/ 1 (PI)))
(/ (/ (+ (/ (* -4 (* v v)) (PI)) (/ 1 (PI))) t) (sqrt (+ 2 (* (* v v) -6))))
(/ (+ (/ (* -4 (* v v)) (PI)) (/ 1 (PI))) t)
(/ (* -4 (* v v)) (PI))
(/ (/ (sqrt 1/2) (PI)) t)
(/ (sqrt 1/2) (PI))
(sqrt 1/2)
(PI)
(/ (/ 1 (* t (PI))) (sqrt 2))
(/ 1 (* t (PI)))
(* t (PI))
(/ (/ (+ 1 (* (* v v) -5)) (* (PI) (sqrt 2))) t)
(/ (+ 1 (* (* v v) -5)) (* (PI) (sqrt 2)))
(+ 1 (* (* v v) -5))
(* (* v v) -5)
(/ (/ (pow 2 -1/2) (* (PI) t)) (/ 1 (+ 1 (* -5 (* v v)))))
(/ (pow 2 -1/2) (* (PI) t))
(pow 2 -1/2)
(* (PI) t)
(* (* v v) -6)
(sqrt 2)
(* -5 (* v v))
(/ 1 (+ 1 (* -5 (* v v))))
Outputs
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)))
(-.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal -1 binary64) (PI.f64)))
(-.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (-.f64 #s(literal 0 binary64) (PI.f64))))
(-.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (PI.f64)))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 (*.f64 v v) (PI.f64)))) (/.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (PI.f64))))
(fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (*.f64 v v) (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (*.f64 v v) (*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)))
(fma.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (*.f64 #s(literal -4 binary64) v) (/.f64 v (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (*.f64 #s(literal -4 binary64) v) (*.f64 v (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (*.f64 v v) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 v v) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (/.f64 (*.f64 v v) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (/.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (/.f64 (*.f64 v v) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal -4 binary64) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) v) #s(literal 1 binary64)) (/.f64 v (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) v) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 v (cbrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) v) (sqrt.f64 (PI.f64))) (/.f64 v (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 v v) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 (*.f64 v v) (PI.f64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) (PI.f64)) (PI.f64))) (+.f64 (*.f64 #s(literal -64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (PI.f64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (*.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 1 binary64)) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (+.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 v v) (PI.f64)))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (+.f64 (*.f64 #s(literal -64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 (*.f64 v v) (PI.f64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) (PI.f64)) (PI.f64))))
(/.f64 (+.f64 (*.f64 #s(literal -64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (PI.f64)) (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (*.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 1 binary64)) (*.f64 (PI.f64) (PI.f64))) (/.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (PI.f64)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (-.f64 #s(literal 0 binary64) (PI.f64))) (*.f64 (PI.f64) #s(literal -1 binary64))) (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 (+.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) (PI.f64)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal -1 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (PI.f64)))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64))) (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (+.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) (PI.f64)) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 v v)))) (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (PI.f64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))) (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (neg.f64 (+.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 v v) (PI.f64))))) (neg.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (neg.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 (*.f64 v v) (PI.f64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) (PI.f64)) (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (*.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 1 binary64)) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (PI.f64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (*.f64 #s(literal -4 binary64) (*.f64 v v)))) (*.f64 (PI.f64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) (PI.f64)))
(/.f64 (/.f64 (+.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 v v) (PI.f64)))) (PI.f64)) (PI.f64))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))))
(/.f64 (+.f64 (cbrt.f64 (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) (cbrt.f64 (PI.f64))))
(/.f64 (+.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 (PI.f64) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 1 binary64)) (PI.f64)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 (+.f64 (cbrt.f64 (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64))))
(/.f64 (+.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))) (PI.f64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) (*.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (*.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))) (-.f64 #s(literal 0 binary64) (PI.f64))))
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(pow.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64))) #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 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) t))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) t) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) t)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (PI.f64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) t))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) t) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (pow.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) t)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t))
(/.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64))
(/.f64 (*.f64 t (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) #s(literal -1 binary64))
(*.f64 (PI.f64) t)
(*.f64 (PI.f64) (/.f64 t #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
(*.f64 t (PI.f64))
(*.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64))
(*.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 t #s(literal 1 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 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)
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
(*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v #s(literal -5 binary64)) v)
(*.f64 (*.f64 #s(literal 1 binary64) v) (*.f64 v #s(literal -5 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -5 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal -5 binary64))) v)
(exp.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) #s(literal -1 binary64)))

simplify314.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
5474×*-lowering-*.f32
5474×*-lowering-*.f64
2692×+-lowering-+.f64
2692×+-lowering-+.f32
2262×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02113017
16522604
225492470
083932470
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(/ 1 (PI))
(+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI)))
(* -4 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(* -4 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(/ (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) (- (* 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) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (+ (* -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)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* -4 (/ (* v (sqrt -1/6)) (* t (PI))))
(* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI)))))))
(* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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))))))))
(* v (- (+ (* -4 (/ (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)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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))))))))
(* 4 (/ (* v (sqrt -1/6)) (* t (PI))))
(* -1 (* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))
(* -1 (* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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)))))))))
(* -1 (* v (- (+ (* -4 (/ (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)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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)))))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ 1 (* t (PI)))
(+ (* -4 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(+ (* -4 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(+ (* -4 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(* -4 (/ (pow v 2) (* t (PI))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))
(* -4 (/ (pow v 2) (* t (PI))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 4 (/ 1 (* t (PI))))))
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t)
(* -4 (/ (pow v 2) (PI)))
(* -4 (/ (pow v 2) (PI)))
(* -4 (/ (pow v 2) (PI)))
(* -4 (/ (pow v 2) (PI)))
(* -4 (/ (pow v 2) (PI)))
(* -4 (/ (pow v 2) (PI)))
(* -4 (/ (pow v 2) (PI)))
(* -4 (/ (pow v 2) (PI)))
(* -4 (/ (pow v 2) (PI)))
(* -4 (/ (pow v 2) (PI)))
(* -4 (/ (pow v 2) (PI)))
(* -4 (/ (pow v 2) (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 (* (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 (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* 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 (PI))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ 1 (* (PI) (sqrt 2)))
(+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2))))
(+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2))))
(+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2))))
(* -5 (/ (pow v 2) (* (PI) (sqrt 2))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))
(* -5 (/ (pow v 2) (* (PI) (sqrt 2))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 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))
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI))))
(+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI))))
(+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI))))
(* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI))))
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))
(* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI))))
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (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)))
(* 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))
(* -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))
1
(+ 1 (* 5 (pow v 2)))
(+ 1 (* (pow v 2) (+ 5 (* 25 (pow v 2)))))
(+ 1 (* (pow v 2) (+ 5 (* (pow v 2) (+ 25 (* 125 (pow v 2)))))))
(/ -1/5 (pow v 2))
(* -1 (/ (+ 1/5 (* 1/25 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 1/25 (* 1/125 (/ 1 (pow v 2)))) (pow v 2))) 1/5) (pow v 2))
(/ (- (* -1 (/ (+ 1/125 (* 1/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 1/5 (* 1/25 (/ 1 (pow v 2))))) (pow v 2))
(/ -1/5 (pow v 2))
(* -1 (/ (+ 1/5 (* 1/25 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 1/25 (* 1/125 (/ 1 (pow v 2)))) (pow v 2))) 1/5) (pow v 2))
(/ (- (* -1 (/ (+ 1/125 (* 1/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 1/5 (* 1/25 (/ 1 (pow v 2))))) (pow v 2))
Outputs
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
(+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)))
(+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)))
(+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)))
(* -4 (/ (pow v 2) (PI)))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)))
(* -4 (/ (pow v 2) (PI)))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)))
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(+ (* (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 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))) (*.f64 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
(+ (* (pow v 2) (+ (* -4 (/ (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))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 27/16 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal -3 binary64) t) (*.f64 (PI.f64) (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) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (+ (* -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)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))) (*.f64 v (*.f64 v (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 27/8 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 v v)))) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 135/32 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (/.f64 (/.f64 #s(literal -3 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))))))
(* -4 (/ (* v (sqrt -1/6)) (* t (PI))))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v (sqrt.f64 #s(literal -1/6 binary64)))) (*.f64 (PI.f64) t))
(* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI)))))))
(*.f64 v (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (PI.f64) t)) (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 v v) t))))))
(* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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))))))))
(*.f64 v (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (PI.f64) t)) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 v v) t))) (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64)))))) #s(literal 0 binary64)))))
(* v (- (+ (* -4 (/ (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)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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))))))))
(*.f64 v (+.f64 (/.f64 (/.f64 #s(literal -1/144 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (PI.f64) t)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 5/648 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 v v) t))))) #s(literal 0 binary64)))))
(* 4 (/ (* v (sqrt -1/6)) (* t (PI))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 v (sqrt.f64 #s(literal -1/6 binary64)))) (*.f64 (PI.f64) t))
(* -1 (* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (PI.f64) t)) (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 v v) t))))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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)))))))))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (PI.f64) t)) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 v v) t))) (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64)))))) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (- (+ (* -4 (/ (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)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* 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)))))))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/144 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (PI.f64) t)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 5/648 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 v v) t))))) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) v))
(* (/ (+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI))) t) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
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1
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eval200.0ms (1.6%)

Compiler

Compiled 29435 to 3520 computations (88% saved)

prune159.0ms (1.2%)

Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New141581423
Fresh246
Picked235
Done156
Total1420201440
Accuracy
100.0%
Counts
1440 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))))
✓99.5%
(/.f64 (/.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))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
98.6%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
✓99.3%
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
99.0%
(/.f64 (/.f64 (+.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 v v) (PI.f64)))) (*.f64 t (*.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓99.7%
(/.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)))
✓98.8%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
✓98.1%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
✓98.1%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
99.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t)
✓98.7%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))
99.1%
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (/.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
99.3%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64))) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
98.6%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64))) t)
98.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (*.f64 (PI.f64) t))
✓98.1%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
98.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
98.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)))
98.6%
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))))
98.6%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 991 to 428 computations (56.8% saved)

regimes87.0ms (0.7%)

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 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (*.f64 (PI.f64) t))
(/.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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 t (PI.f64))))
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64))) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (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) (PI.f64)) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64))) t)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) t)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (/.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (/.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 (+.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 v v) (PI.f64)))) (*.f64 t (*.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))))
(/.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 (+.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 (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)) (-.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 #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 #s(literal 1 binary64) (*.f64 v v)) t))) (/.f64 #s(literal 1 binary64) (PI.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) (/.f64 #s(literal 1 binary64) t))
(/.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:

42.0ms
t
11.0ms
(*.f64 (PI.f64) t)
11.0ms
(/.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))))
10.0ms
v
10.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.7%1v
99.7%1t
99.7%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))))
99.7%1(*.f64 v v)
99.7%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes42.0ms (0.3%)

Counts
32 → 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 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (*.f64 (PI.f64) t))
(/.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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 t (PI.f64))))
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64))) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (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) (PI.f64)) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64))) t)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) t)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (/.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (/.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 (+.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 v v) (PI.f64)))) (*.f64 t (*.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))))
(/.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:

11.0ms
t
11.0ms
(*.f64 (PI.f64) t)
9.0ms
v
7.0ms
(*.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)

regimes38.0ms (0.3%)

Counts
31 → 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 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (*.f64 (PI.f64) t))
(/.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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 t (PI.f64))))
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64))) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (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) (PI.f64)) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64))) t)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) t)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (/.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (/.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) t) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 (+.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 v v) (PI.f64)))) (*.f64 t (*.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 t (PI.f64)))))
Outputs
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64))) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
Calls

4 calls:

10.0ms
t
9.0ms
(*.f64 (PI.f64) t)
9.0ms
v
7.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.3%1v
99.3%1t
99.3%1(*.f64 v v)
99.3%1(*.f64 (PI.f64) t)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes29.0ms (0.2%)

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

4 calls:

9.0ms
t
7.0ms
(*.f64 (PI.f64) t)
7.0ms
v
6.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.0%1v
99.0%1t
99.0%1(*.f64 v v)
99.0%1(*.f64 (PI.f64) t)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes22.0ms (0.2%)

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

4 calls:

5.0ms
(*.f64 v v)
5.0ms
(*.f64 (PI.f64) t)
5.0ms
t
5.0ms
v
Results
AccuracySegmentsBranch
99.0%1t
99.0%1(*.f64 (PI.f64) t)
99.0%1v
99.0%1(*.f64 v v)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes12.0ms (0.1%)

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

3 calls:

4.0ms
(*.f64 (PI.f64) t)
4.0ms
t
3.0ms
v
Results
AccuracySegmentsBranch
98.7%1v
98.7%1t
98.7%1(*.f64 (PI.f64) t)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.1%)

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

3 calls:

4.0ms
v
3.0ms
t
3.0ms
(*.f64 (PI.f64) t)
Results
AccuracySegmentsBranch
98.6%1v
98.6%1t
98.6%1(*.f64 (PI.f64) t)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0.1%)

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 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.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)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
Calls

3 calls:

2.0ms
(*.f64 (PI.f64) t)
2.0ms
t
2.0ms
v
Results
AccuracySegmentsBranch
98.2%1v
98.2%1t
98.2%1(*.f64 (PI.f64) t)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes26.0ms (0.2%)

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

3 calls:

22.0ms
v
2.0ms
(*.f64 (PI.f64) t)
2.0ms
t
Results
AccuracySegmentsBranch
98.1%1v
98.1%1t
98.1%1(*.f64 (PI.f64) t)
Compiler

Compiled 11 to 8 computations (27.3% 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
98.1%1v
98.1%1t
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
44×*-commutative_binary64
22×+-commutative_binary64
12×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060132
195132
2110132
3118132
4123132
5124132
Stop Event
1×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 (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 #s(literal 1 binary64) (PI.f64)) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64))) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
(/.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 (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)) (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) (PI.f64)) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64))) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
(/.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))

soundness2.7s (21.1%)

Rules
6000×*-lowering-*.f32
6000×*-lowering-*.f64
5020×*-lowering-*.f32
5020×*-lowering-*.f64
4818×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01925
15825
219122
394721
4497020
0832920
02322136
17671801
235061765
081011765
01959
111257
284255
0844055
039149
1256137
22067137
09177137
01712567
15162227
220612132
082502132
03596252
111595152
247345138
080235138
034123
1203119
21920116
08522116
033186
1198172
21586172
08324172
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 388 to 273 computations (29.6% saved)

preprocess125.0ms (1%)

Remove

(negabs t)

(abs v)

Compiler

Compiled 1000 to 612 computations (38.8% saved)

end0.0ms (0%)

Profiling

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