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

Time bar (total: 11.4s)

analyze88.0ms (0.8%)

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: 54.0ms
ival-sub: 23.0ms (42.4% of total)
ival-mult: 22.0ms (40.6% of total)
ival-sqrt: 4.0ms (7.4% of total)
ival-pi: 2.0ms (3.7% of total)
ival-div: 2.0ms (3.7% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

sample1.8s (15.9%)

Results
1.5s8256×0valid
1.0ms7×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 638.0ms (55.1% of total)
ival-sub: 259.0ms (22.4% of total)
ival-sqrt: 100.0ms (8.6% of total)
ival-div: 99.0ms (8.6% of total)
ival-pi: 35.0ms (3% of total)
const: 23.0ms (2% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess243.0ms (2.1%)

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)

explain200.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 v v))
00-0-#s(literal 2 binary64)
01(1.565211158836865e-162 2.133868990474567e-123)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))))))
01(1.565211158836865e-162 2.133868990474567e-123)0-(*.f64 #s(literal 5 binary64) (*.f64 v v))
Results
94.0ms512×0valid
Compiler

Compiled 282 to 59 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 27.0ms (56.2% of total)
ival-sub: 8.0ms (16.7% of total)
ival-sqrt: 6.0ms (12.5% of total)
ival-div: 4.0ms (8.3% of total)
ival-pi: 2.0ms (4.2% of total)
const: 1.0ms (2.1% 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
▶99.3%
(/.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)

simplify229.0ms (2%)

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))

localize80.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal 6 binary64))
✓accuracy99.7%
(*.f64 (PI.f64) t)
✓accuracy99.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
✓accuracy99.3%
(*.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
50.0ms256×0valid
Compiler

Compiled 114 to 20 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 12.0ms (52.1% of total)
ival-sub: 3.0ms (13% of total)
ival-sqrt: 3.0ms (13% of total)
ival-div: 2.0ms (8.7% of total)
ival-pi: 1.0ms (4.3% of total)
ival-add: 1.0ms (4.3% of total)
const: 1.0ms (4.3% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.2%)

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

27 calls:

TimeVariablePointExpression
4.0ms
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)))
2.0ms
v
@inf
(* (* v v) 6)

rewrite362.0ms (3.2%)

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
0843955
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) (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 v (*.f64 v #s(literal -5 binary64))) (/.f64 (/.f64 #s(literal 1 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 (/.f64 #s(literal 1 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))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 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 v (*.f64 v #s(literal -5 binary64)))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 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 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 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))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (/.f64 (/.f64 #s(literal 1 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) (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))))
(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 v (*.f64 (*.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 (*.f64 (PI.f64) t) (*.f64 (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 (*.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 (PI.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)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))) (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (*.f64 (PI.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)) (+.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 (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))))))
(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 (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)) (*.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 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) #s(literal -125 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.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)) (+.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 v (*.f64 v (*.f64 v v))) (*.f64 (*.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 v (*.f64 v (*.f64 v v))) (*.f64 (*.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 (*.f64 (PI.f64) t) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #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 (*.f64 (PI.f64) t) (*.f64 (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 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.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 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) #s(literal -125 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 v)) (*.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) #s(literal -125 binary64)))) (*.f64 (+.f64 (*.f64 v (*.f64 v (*.f64 (*.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 v (*.f64 v (*.f64 v v))) (*.f64 (*.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 (*.f64 (PI.f64) t) (*.f64 (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 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.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)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
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(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.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 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 36 binary64))))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))
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(*.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)))
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(*.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) (-.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 (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))))
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(*.f64 (sqrt.f64 (-.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)))))
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(*.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)))))
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))))
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(*.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 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (*.f64 (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 (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 #s(literal 0 binary64) (*.f64 (PI.f64) t)))
(*.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 #s(literal 0 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 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) (-.f64 #s(literal 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 (PI.f64) (*.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) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) 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 v) (*.f64 v (*.f64 v (*.f64 v v))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v))))))
(*.f64 (*.f64 (*.f64 (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 (*.f64 v (*.f64 v v)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 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 (neg.f64 (*.f64 (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 (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 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))))
(*.f64 (*.f64 (*.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 (PI.f64) (*.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))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.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 (*.f64 v 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 (*.f64 v v) #s(literal 6 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v #s(literal 6 binary64)) v)

simplify267.0ms (2.3%)

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))
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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)))

eval68.0ms (0.6%)

Compiler

Compiled 20184 to 1463 computations (92.8% saved)

prune64.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Compiled 392 to 272 computations (30.6% saved)

simplify210.0ms (1.8%)

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)))) t)
✓cost-diff128
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) #s(literal 1 binary64))
✓cost-diff128
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) (-.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 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) t))
✓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)))) (*.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))))
✓cost-diff128
(*.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))
Rules
3156×*-lowering-*.f32
3156×*-lowering-*.f64
1472×unsub-neg
1428×neg-lowering-neg.f64
1428×neg-lowering-neg.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035431
193415
2243396
3842384
42701384
54525384
08032384
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI)))) (/ 1 t))
(/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI))))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI)))
(sqrt (- 2 (* (* v v) 6)))
(- 2 (* (* v v) 6))
2
(* (* v v) 6)
(* v v)
6
(* (- 1 (* v v)) (PI))
(- 1 (* v v))
(PI)
(/ 1 t)
t
(/ (sqrt 1/2) (* t (PI)))
(sqrt 1/2)
1/2
(* t (PI))
t
(PI)
(/ (+ 1 (* v (* v -5))) (* (* (* (PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) t))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(* (* (* (PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) t)
(* (* (PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))
(* (PI) (- 1 (* v v)))
(PI)
(- 1 (* v v))
(* v v)
(sqrt (- 2 (* (* v v) 6)))
(- 2 (* (* v v) 6))
2
(* (* v v) 6)
6
t
(/ (/ (+ 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))) t) 1) (* (* (PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))
(* (/ (+ 1 (* v (* v -5))) t) 1)
(/ (+ 1 (* v (* v -5))) t)
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
t
(* (* (PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))
(* (PI) (- 1 (* v v)))
(PI)
(- 1 (* v v))
(* v v)
(sqrt (- 2 (* (* v v) 6)))
(- 2 (* (* v v) 6))
2
(* (* v v) 6)
6
Outputs
(* (/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI)))) (/ 1 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t))))
(/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI))))
(/.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))))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* v (* v -5))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))
(sqrt (- 2 (* (* v v) 6)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(- 2 (* (* v v) 6))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
2
#s(literal 2 binary64)
(* (* v v) 6)
(*.f64 v (*.f64 v #s(literal 6 binary64)))
(* v v)
(*.f64 v v)
6
#s(literal 6 binary64)
(* (- 1 (* v v)) (PI))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(PI)
(PI.f64)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
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))) (* (* (* (PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t))))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* v (* v -5))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(* (* (* (PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) 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)) (*.f64 (PI.f64) t)))
(* (* (PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))
(*.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)))
(* (PI) (- 1 (* v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))
(PI)
(PI.f64)
(- 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 (*.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 v (*.f64 v #s(literal 6 binary64)))
6
#s(literal 6 binary64)
t
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) (* (PI) 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t))))
(/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))
(/.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))))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* v (* v -5))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(* (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 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))) t) 1) (* (* (PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))
(/.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)) (*.f64 (PI.f64) t))))
(* (/ (+ 1 (* v (* v -5))) t) 1)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)
(/ (+ 1 (* v (* v -5))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* v (* v -5))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
t
(* (* (PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))
(*.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)))
(* (PI) (- 1 (* v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))
(PI)
(PI.f64)
(- 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 (*.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 v (*.f64 v #s(literal 6 binary64)))
6
#s(literal 6 binary64)

localize216.0ms (1.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -5 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal 6 binary64))
✓accuracy99.5%
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) (-.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))
✓accuracy99.7%
(*.f64 (PI.f64) t)
✓accuracy99.3%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
✓accuracy98.4%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -5 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal 6 binary64))
✓accuracy99.7%
(*.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) t)
✓accuracy99.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) t))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(*.f64 t (PI.f64))
✓accuracy99.3%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -5 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal 6 binary64))
✓accuracy99.6%
(*.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))
Results
113.0ms256×0valid
Compiler

Compiled 498 to 36 computations (92.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 25.0ms (51.4% of total)
ival-div: 13.0ms (26.7% of total)
ival-sqrt: 4.0ms (8.2% of total)
ival-sub: 3.0ms (6.2% of total)
ival-pi: 1.0ms (2.1% of total)
ival-add: 1.0ms (2.1% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.2%)

Counts
19 → 288
Calls
Call 1
Inputs
#<alt (* (/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI)))) (/ 1 t))>
#<alt (/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (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))) (* (* (* (PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) t))>
#<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))) t) 1) (* (* (PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))>
#<alt (* (/ (+ 1 (* v (* v -5))) t) 1)>
#<alt (/ (+ 1 (* v (* v -5))) t)>
#<alt (* (* v v) 6)>
#<alt (sqrt (- 2 (* (* v v) 6)))>
#<alt (* (* (* (PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) t)>
#<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 (/ (sqrt 1/2) (PI))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (/ (sqrt 1/2) (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2))))) (* 3 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (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)))) (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* (PI) (sqrt 1/2)))))))) (* 3 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI)))>
#<alt (* 5 (/ (sqrt -1/6) (* v (PI))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))) (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (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)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (* 5 (/ (sqrt -1/6) (PI))))))))) (+ (/ 1/9 (* (pow v 6) (* (PI) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)>
#<alt (* -5 (/ (sqrt -1/6) (* v (PI))))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))) (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (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)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (* 5 (/ (sqrt -1/6) (PI))))))))) (+ (/ 1/9 (* (pow v 6) (* (PI) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))>
#<alt 1>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)>
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#<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 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 (* 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 (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* v (sqrt -6))>
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))))))>
#<alt (* -1 (* t (* (pow v 3) (* (PI) (sqrt -6)))))>
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))>
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))>
#<alt (* t (* (pow v 3) (* (PI) (sqrt -6))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
Calls

72 calls:

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

rewrite409.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
3934×*-lowering-*.f32
3934×*-lowering-*.f64
3418×/-lowering-/.f32
3418×/-lowering-/.f64
1548×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035203
1211194
21540186
08476186
Stop Event
1×iter limit
1×node limit
Counts
19 → 1271
Calls
Call 1
Inputs
(* (/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI)))) (/ 1 t))
(/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI))))
(+ 1 (* v (* v -5)))
(* v (* v -5))
(/ (sqrt 1/2) (* t (PI)))
(sqrt 1/2)
(* t (PI))
(PI)
(/ (+ 1 (* v (* v -5))) (* (* (* (PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) t))
(* 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))) t) 1) (* (* (PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))
(* (/ (+ 1 (* v (* v -5))) t) 1)
(/ (+ 1 (* v (* v -5))) t)
(* (* v v) 6)
(sqrt (- 2 (* (* v v) 6)))
(* (* (* (PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) t)
(* (PI) t)
Outputs
(+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t))))
(+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) (*.f64 v (*.f64 v #s(literal -5 binary64)))))
(+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t))) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)))
(exp.f64 (*.f64 (log.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 (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 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 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (*.f64 (*.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 0 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 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 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 #s(literal 0 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)) (-.f64 #s(literal 0 binary64) (PI.f64))))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 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 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 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 #s(literal 1 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 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (*.f64 (*.f64 (*.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 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 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))))
(neg.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) (/.f64 #s(literal 1 binary64) t)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 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)))))
(neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) (/.f64 #s(literal -1 binary64) t)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) t)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (PI.f64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (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 0 binary64) t)))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)))))
(neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) t) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 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 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t))))
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(/.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))) (/.f64 #s(literal 1 binary64) 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))) (*.f64 (PI.f64) t)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (PI.f64) t) (*.f64 (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))))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.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 #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 (PI.f64) t)))
(*.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 v)) (PI.f64)) t))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) t)))
(*.f64 (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))) t))
(*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) 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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) t))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (neg.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) t))))
(*.f64 (*.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 (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)) #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 (PI.f64) t))
(*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 #s(literal -1 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 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(*.f64 (-.f64 #s(literal 0 binary64) 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)) (-.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 #s(literal 0 binary64) (PI.f64)))) (-.f64 #s(literal 0 binary64) t))
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(*.f64 (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))
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(*.f64 (*.f64 t (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (PI.f64))
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(exp.f64 (-.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 t) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)))
(neg.f64 (/.f64 (PI.f64) (/.f64 #s(literal -1 binary64) t)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))
(/.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64))
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(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
(*.f64 t (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) t))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) t))
(*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) 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 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) t)

simplify353.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
4442×*-lowering-*.f32
4442×*-lowering-*.f64
3232×+-lowering-+.f64
3232×+-lowering-+.f32
2384×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04297517
114536138
261166035
081886035
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))))))
(/ (sqrt 1/2) (PI))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2))))) (* 3 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (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)))) (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* (PI) (sqrt 1/2)))))))) (* 3 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI)))
(* 5 (/ (sqrt -1/6) (* v (PI))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))) (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (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)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (* 5 (/ (sqrt -1/6) (PI))))))))) (+ (/ 1/9 (* (pow v 6) (* (PI) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(* -5 (/ (sqrt -1/6) (* v (PI))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))) (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (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)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (* 5 (/ (sqrt -1/6) (PI))))))))) (+ (/ 1/9 (* (pow v 6) (* (PI) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
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))
(/ (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))))
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(* -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)
(* 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))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* t (* (PI) (sqrt 2)))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))))))
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6)))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))
(* t (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
Outputs
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (PI.f64)) t) (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (PI.f64)) t) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (PI.f64)) t) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 27/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) t) (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) t))))))))
(+ (* (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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) (*.f64 v (*.f64 v (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (PI.f64)) t) (*.f64 v (*.f64 v (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (PI.f64)) t) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal -27/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) t) (/.f64 (/.f64 (/.f64 #s(literal 135/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) t)) (-.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (PI.f64)) t) (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) t)))) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 27/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) t) (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) t)))))))))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) v) (PI.f64)) t)
(/ (- (+ (* 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 t (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))))))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal -5/144 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) t) (-.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 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 -25/2592 binary64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) t) (+.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 t (*.f64 (PI.f64) (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 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 (/.f64 (/.f64 #s(literal -1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (pow.f64 v #s(literal 6 binary64))) t))) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -5/144 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) t) (+.f64 (/.f64 (/.f64 #s(literal 5/36 binary64) t) (*.f64 v (*.f64 v (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (/.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 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (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 (*.f64 t (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))
(* -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 (*.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 t (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))))))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal -5/144 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) t) (-.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 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 -25/2592 binary64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) t) (+.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 t (*.f64 (PI.f64) (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 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 (/.f64 (/.f64 #s(literal -1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (pow.f64 v #s(literal 6 binary64))) t))) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -5/144 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) t) (+.f64 (/.f64 (/.f64 #s(literal 5/36 binary64) t) (*.f64 v (*.f64 v (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (/.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 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (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 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(* (/ (+ 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 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(* (/ (+ 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 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
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(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))
(*.f64 v (*.f64 (*.f64 v v) (-.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)))))))))
(* (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 v (*.f64 (*.f64 v v) (+.f64 (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 t (PI.f64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (-.f64 (*.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))))))))
(* (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 v (*.f64 (*.f64 v v) (-.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 t (PI.f64)) (*.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 (/.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 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)))))))))
(* 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 (/.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))))))) (-.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 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 (PI.f64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (-.f64 (*.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))))
(* -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 v (*.f64 v v)) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 t (PI.f64)) (*.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 (/.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 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)))))))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(*.f64 (*.f64 (PI.f64) (*.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)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(*.f64 (*.f64 (PI.f64) (*.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)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(*.f64 (*.f64 (PI.f64) (*.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)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(*.f64 (*.f64 (PI.f64) (*.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)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(*.f64 (*.f64 (PI.f64) (*.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)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(*.f64 (*.f64 (PI.f64) (*.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)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(*.f64 (*.f64 (PI.f64) (*.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)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(*.f64 (*.f64 (PI.f64) (*.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)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(*.f64 (*.f64 (PI.f64) (*.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)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(*.f64 (*.f64 (PI.f64) (*.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)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(*.f64 (*.f64 (PI.f64) (*.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)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))
(*.f64 (*.f64 (PI.f64) (*.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)))))
(* 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))

eval363.0ms (3.2%)

Compiler

Compiled 73971 to 3722 computations (95% saved)

prune246.0ms (2.2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New2219122231
Fresh213
Picked325
Done000
Total2224152239
Accuracy
100.0%
Counts
2239 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.4%
(/.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))
▶99.9%
(/.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)))) t)
98.6%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
98.2%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
▶98.2%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
▶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))))
98.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
98.8%
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))))
98.2%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))
▶98.3%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))))
98.2%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t))
✓98.3%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
98.8%
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
▶98.2%
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
98.4%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
Compiler

Compiled 412 to 324 computations (21.4% saved)

simplify156.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 20 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 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
✓cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)))
✓cost-diff256
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))))
✓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-diff128
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
✓cost-diff0
(PI.f64)
✓cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
✓cost-diff0
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
✓cost-diff0
(*.f64 v (*.f64 v #s(literal -5 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (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))))
✓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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t)
Rules
2274×*-lowering-*.f32
2274×*-lowering-*.f64
2006×fma-define
1244×fma-lowering-fma.f32
1244×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034205
184200
2194195
3485191
41273191
52927191
67237191
08077191
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI)))) t)
(/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI))))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI)))
(sqrt (- 2 (* (* v v) 6)))
(- 2 (* (* v v) 6))
2
(* (* v v) 6)
(* v v)
6
(* (- 1 (* v v)) (PI))
(- 1 (* v v))
(PI)
t
(/ (/ (sqrt 1/2) t) (PI))
(/ (sqrt 1/2) t)
(sqrt 1/2)
1/2
t
(PI)
(* (/ (sqrt 1/2) (PI)) (/ 1 t))
(/ (sqrt 1/2) (PI))
(sqrt 1/2)
1/2
(PI)
(/ 1 t)
1
t
(/ (sqrt 1/2) (/ 1 (/ 1 (* (PI) t))))
(sqrt 1/2)
1/2
(/ 1 (/ 1 (* (PI) t)))
1
(/ 1 (* (PI) t))
(* (PI) t)
(PI)
t
(/ (+ 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
Outputs
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI)))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (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))))
(/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI))))
(/.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 #s(literal 1 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)
(* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))
(sqrt (- 2 (* (* v v) 6)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(- 2 (* (* v v) 6))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
2
#s(literal 2 binary64)
(* (* v v) 6)
(*.f64 v (*.f64 v #s(literal 6 binary64)))
(* v v)
(*.f64 v v)
6
#s(literal 6 binary64)
(* (- 1 (* v v)) (PI))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(PI)
(PI.f64)
t
(/ (/ (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)
(* (/ (sqrt 1/2) (PI)) (/ 1 t))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/ (sqrt 1/2) (PI))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
1
#s(literal 1 binary64)
t
(/ (sqrt 1/2) (/ 1 (/ 1 (* (PI) t))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1 (/ 1 (* (PI) t)))
(*.f64 (PI.f64) t)
1
#s(literal 1 binary64)
(/ 1 (* (PI) t))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(/ (+ 1 (* v (* v -5))) (* (* t (PI)) (sqrt 2)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (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)

localize163.0ms (1.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -5 binary64)))
✓accuracy99.7%
(*.f64 t (PI.f64))
✓accuracy99.6%
(/.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))))
✓accuracy99.3%
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy99.7%
(*.f64 (PI.f64) t)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
✓accuracy99.3%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t))
✓accuracy98.4%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
✓accuracy99.2%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))
✓accuracy99.9%
(/.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)))) t)
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -5 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal 6 binary64))
Results
106.0ms256×0valid
Compiler

Compiled 239 to 35 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 27.0ms (43.8% of total)
ival-div: 20.0ms (32.5% of total)
ival-sqrt: 9.0ms (14.6% of total)
ival-sub: 3.0ms (4.9% of total)
ival-pi: 1.0ms (1.6% of total)
ival-add: 1.0ms (1.6% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
20 → 228
Calls
Call 1
Inputs
#<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)) (PI))))>
#<alt (+ 1 (* v (* v -5)))>
#<alt (* v (* v -5))>
#<alt (/ (/ (sqrt 1/2) t) (PI))>
#<alt (/ (sqrt 1/2) t)>
#<alt (sqrt 1/2)>
#<alt (PI)>
#<alt (* (/ (sqrt 1/2) (PI)) (/ 1 t))>
#<alt (/ (sqrt 1/2) (PI))>
#<alt (/ (sqrt 1/2) (/ 1 (/ 1 (* (PI) t))))>
#<alt (/ 1 (/ 1 (* (PI) t)))>
#<alt (/ 1 (* (PI) t))>
#<alt (/ (+ 1 (* v (* v -5))) (* (* t (PI)) (sqrt 2)))>
#<alt (* v -5)>
#<alt (* (* v v) 6)>
#<alt (sqrt (- 2 (* (* v v) 6)))>
#<alt (* (PI) t)>
#<alt (* (* t (PI)) (sqrt 2))>
#<alt (* t (PI))>
Outputs
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)>
#<alt (* -5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))>
#<alt (/ (sqrt 1/2) (PI))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (/ (sqrt 1/2) (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2))))) (* 3 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (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)))) (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* (PI) (sqrt 1/2)))))))) (* 3 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI)))>
#<alt (* 5 (/ (sqrt -1/6) (* v (PI))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))) (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (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)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (* 5 (/ (sqrt -1/6) (PI))))))))) (+ (/ 1/9 (* (pow v 6) (* (PI) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)>
#<alt (* -5 (/ (sqrt -1/6) (* v (PI))))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))) (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (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)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (* 5 (/ (sqrt -1/6) (PI))))))))) (+ (/ 1/9 (* (pow v 6) (* (PI) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))>
#<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 (/ (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 (/ (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)))>
#<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) (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 (* 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 (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* v (sqrt -6))>
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (* (PI) (sqrt 2)))>
#<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

57 calls:

TimeVariablePointExpression
1.0ms
t
@0
(/ (+ 1 (* v (* v -5))) (* (* t (PI)) (sqrt 2)))
1.0ms
v
@0
(/ (+ 1 (* v (* v -5))) (* (* t (PI)) (sqrt 2)))
0.0ms
v
@inf
(/ (+ 1 (* v (* v -5))) (* (* t (PI)) (sqrt 2)))
0.0ms
t
@-inf
(/ (+ 1 (* v (* v -5))) (* (* t (PI)) (sqrt 2)))
0.0ms
t
@inf
(* (* t (PI)) (sqrt 2))

rewrite403.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
4156×*-lowering-*.f32
4156×*-lowering-*.f64
3580×/-lowering-/.f32
3580×/-lowering-/.f64
1548×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034129
1206125
21468122
08800122
Stop Event
1×iter limit
1×node limit
Counts
20 → 937
Calls
Call 1
Inputs
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI)))) t)
(/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) (PI))))
(+ 1 (* v (* v -5)))
(* v (* v -5))
(/ (/ (sqrt 1/2) t) (PI))
(/ (sqrt 1/2) t)
(sqrt 1/2)
(PI)
(* (/ (sqrt 1/2) (PI)) (/ 1 t))
(/ (sqrt 1/2) (PI))
(/ (sqrt 1/2) (/ 1 (/ 1 (* (PI) t))))
(/ 1 (/ 1 (* (PI) t)))
(/ 1 (* (PI) t))
(/ (+ 1 (* v (* v -5))) (* (* t (PI)) (sqrt 2)))
(* v -5)
(* (* v v) 6)
(sqrt (- 2 (* (* v v) 6)))
(* (PI) t)
(* (* t (PI)) (sqrt 2))
(* t (PI))
Outputs
(exp.f64 (*.f64 (log.f64 (/.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (*.f64 (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (*.f64 (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (*.f64 (*.f64 (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))))))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(neg.f64 (/.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)))) #s(literal -1 binary64)) t))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) 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 #s(literal 1 binary64) (/.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) 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)) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (neg.f64 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (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)))) t)
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 t (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) (-.f64 #s(literal 0 binary64) t))
(/.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 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (*.f64 (*.f64 (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) #s(literal -1 binary64)) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))))))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64))))) (neg.f64 (*.f64 (*.f64 (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))))))
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(/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64)))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 6 binary64)) #s(literal 6 binary64)) #s(literal 12 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64)))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))))
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(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))) #s(literal -1/2 binary64))
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(*.f64 t (PI.f64))
(*.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64))
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(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) t))
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(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) t))
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(*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) t) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (PI.f64) t) #s(literal 1/2 binary64)))
(*.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 (pow.f64 (pow.f64 (*.f64 (PI.f64) t) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (PI.f64) t) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
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(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) t)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (*.f64 (PI.f64) t))))
(exp.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)))))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t))))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)))
(/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t))) #s(literal -1 binary64))
(/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) t))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)))
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(/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
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(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 t (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 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)))))
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(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) t) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 (PI.f64) t) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (PI.f64) t) #s(literal 1/2 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (PI.f64) t) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) t)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) t)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 t) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)))
(neg.f64 (/.f64 (PI.f64) (/.f64 #s(literal -1 binary64) t)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))
(/.f64 t (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)))
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(/.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 #s(literal -1 binary64) (PI.f64)))
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(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
(*.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.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 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) t) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) t))
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(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) t))
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(*.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)))
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(*.f64 (pow.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 t (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) t) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (PI.f64) t) #s(literal -1/2 binary64)) #s(literal -1 binary64)))

simplify352.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
5020×+-lowering-+.f64
5020×+-lowering-+.f32
4074×*-lowering-*.f32
4074×*-lowering-*.f64
2360×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02923131
19372658
237552571
080152571
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))
(/ (sqrt 1/2) (PI))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2))))) (* 3 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (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)))) (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* (PI) (sqrt 1/2)))))))) (* 3 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI)))
(* 5 (/ (sqrt -1/6) (* v (PI))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))) (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (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)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (* 5 (/ (sqrt -1/6) (PI))))))))) (+ (/ 1/9 (* (pow v 6) (* (PI) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(* -5 (/ (sqrt -1/6) (* v (PI))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))) (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (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)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (* 5 (/ (sqrt -1/6) (PI))))))))) (+ (/ 1/9 (* (pow v 6) (* (PI) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
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)))
(/ (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)))
(/ (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)))
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(/ (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)))
(/ 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) (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)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* 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))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* 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 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))
(* 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 (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))) (/.f64 (*.f64 (*.f64 v v) #s(literal 3/4 binary64)) (*.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))))) (* (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 (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 27/16 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal -3 binary64) (*.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))))) (* (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 (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))) (*.f64 v (*.f64 v (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 27/16 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))))) (*.f64 (*.f64 v v) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal -27/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 135/32 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))))) (/.f64 (/.f64 #s(literal 3 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/.f64 (/.f64 (*.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) v)) (PI.f64)) t)
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(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 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)))
(* 6 (pow v 2))
(*.f64 v (*.f64 v #s(literal 6 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 v (/.f64 v (sqrt.f64 #s(literal 2 binary64))))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal -9/4 binary64)) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(* v (sqrt -6))
(*.f64 v (sqrt.f64 #s(literal -6 binary64)))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(*.f64 v (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 6 binary64) (sqrt.f64 #s(literal -6 binary64)))))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 v (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 6 binary64) (sqrt.f64 #s(literal -6 binary64)))))))
(* -1 (* v (sqrt -6)))
(-.f64 #s(literal 0 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(-.f64 #s(literal 0 binary64) (*.f64 v (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 6 binary64) (sqrt.f64 #s(literal -6 binary64)))))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(*.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 6 binary64) (sqrt.f64 #s(literal -6 binary64)))))) (-.f64 #s(literal 0 binary64) 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))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* 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))

eval303.0ms (2.7%)

Compiler

Compiled 32051 to 3392 computations (89.4% saved)

prune392.0ms (3.4%)

Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New155081558
Fresh538
Picked235
Done022
Total1557161573
Accuracy
100.0%
Counts
1573 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.7%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (PI.f64))
✓99.4%
(/.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))
✓99.9%
(/.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)))) t)
98.6%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
▶99.2%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t)
▶98.2%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
✓98.2%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
▶98.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
98.8%
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
✓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))))
98.2%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
✓98.3%
(/.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))))
98.3%
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))
98.4%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
Compiler

Compiled 374 to 303 computations (19% saved)

simplify173.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) t)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
✓cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (PI.f64))
✓cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 t (PI.f64))
✓cost-diff0
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.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 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 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t)
Rules
2854×fma-define
2522×*-lowering-*.f32
2522×*-lowering-*.f64
1592×unsub-neg
1590×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031158
168155
2148153
3356149
41048149
51938149
65357149
08134149
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt 2) (* (- 1 (* v v)) (PI)))) t)
(/ (+ 1 (* v (* v -5))) (* (sqrt 2) (* (- 1 (* v v)) (PI))))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(* (sqrt 2) (* (- 1 (* v v)) (PI)))
(sqrt 2)
2
(* (- 1 (* v v)) (PI))
(- 1 (* v v))
(* v v)
(PI)
t
(/ (/ (sqrt 1/2) (PI)) t)
(/ (sqrt 1/2) (PI))
(sqrt 1/2)
1/2
(PI)
t
(/ 1 (* (* t (PI)) (sqrt 2)))
1
(* (* t (PI)) (sqrt 2))
(* t (PI))
t
(PI)
(sqrt 2)
2
(/ (/ 1 (/ t (sqrt 1/2))) (PI))
(/ 1 (/ t (sqrt 1/2)))
1
(/ t (sqrt 1/2))
t
(sqrt 1/2)
1/2
(PI)
(/ (/ (/ 1 t) (pow 1/2 -1/2)) (PI))
(/ (/ 1 t) (pow 1/2 -1/2))
(/ 1 t)
1
t
(pow 1/2 -1/2)
1/2
-1/2
(PI)
Outputs
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt 2) (* (- 1 (* v v)) (PI)))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(/ (+ 1 (* v (* v -5))) (* (sqrt 2) (* (- 1 (* v v)) (PI))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 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)
(* (sqrt 2) (* (- 1 (* v v)) (PI)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (- 1 (* v v)) (PI))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* v v)
(*.f64 v v)
(PI)
(PI.f64)
t
(/ (/ (sqrt 1/2) (PI)) t)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (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 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
1
#s(literal 1 binary64)
(* (* t (PI)) (sqrt 2))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(* t (PI))
(*.f64 (PI.f64) t)
t
(PI)
(PI.f64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (/ 1 (/ t (sqrt 1/2))) (PI))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(/ 1 (/ t (sqrt 1/2)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
1
#s(literal 1 binary64)
(/ t (sqrt 1/2))
(/.f64 t (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)
(PI)
(PI.f64)
(/ (/ (/ 1 t) (pow 1/2 -1/2)) (PI))
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/ (/ 1 t) (pow 1/2 -1/2))
(/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
1
#s(literal 1 binary64)
t
(pow 1/2 -1/2)
(pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)
(PI)
(PI.f64)

localize184.0ms (1.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) t)
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (PI.f64))
✓accuracy99.3%
(/.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))
✓accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
✓accuracy99.3%
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(*.f64 t (PI.f64))
✓accuracy99.6%
(/.f64 #s(literal 1 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)
✓accuracy99.9%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
✓accuracy98.4%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))
✓accuracy99.9%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t)
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -5 binary64)))
Results
116.0ms256×0valid
Compiler

Compiled 178 to 32 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-div: 19.0ms (31.7% of total)
ival-pow: 19.0ms (31.7% of total)
ival-mult: 13.0ms (21.7% of total)
ival-sqrt: 4.0ms (6.7% of total)
ival-pi: 1.0ms (1.7% of total)
ival-add: 1.0ms (1.7% of total)
ival-sub: 1.0ms (1.7% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series43.0ms (0.4%)

Counts
18 → 180
Calls
Call 1
Inputs
#<alt (/ (/ (+ 1 (* v (* v -5))) (* (sqrt 2) (* (- 1 (* v v)) (PI)))) t)>
#<alt (/ (+ 1 (* v (* v -5))) (* (sqrt 2) (* (- 1 (* v v)) (PI))))>
#<alt (+ 1 (* v (* v -5)))>
#<alt (* v (* v -5))>
#<alt (/ (/ (sqrt 1/2) (PI)) t)>
#<alt (/ (sqrt 1/2) (PI))>
#<alt (sqrt 1/2)>
#<alt (PI)>
#<alt (/ 1 (* (* t (PI)) (sqrt 2)))>
#<alt (* (* t (PI)) (sqrt 2))>
#<alt (* t (PI))>
#<alt (/ (/ 1 (/ t (sqrt 1/2))) (PI))>
#<alt (/ 1 (/ t (sqrt 1/2)))>
#<alt (/ t (sqrt 1/2))>
#<alt (/ (/ (/ 1 t) (pow 1/2 -1/2)) (PI))>
#<alt (/ (/ 1 t) (pow 1/2 -1/2))>
#<alt (/ 1 t)>
#<alt (pow 1/2 -1/2)>
Outputs
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (/ 5 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))>
#<alt (/ 5 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ 1 (* (PI) (sqrt 2)))>
#<alt (+ (* -4 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2))))>
#<alt (+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* (PI) (sqrt 2)))) (* 4 (/ 1 (* (PI) (sqrt 2)))))) (/ 1 (* (PI) (sqrt 2))))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* (PI) (sqrt 2)))) (* 4 (/ 1 (* (PI) (sqrt 2)))))) (* 4 (/ 1 (* (PI) (sqrt 2)))))) (/ 1 (* (PI) (sqrt 2))))>
#<alt (/ 5 (* (PI) (sqrt 2)))>
#<alt (+ (* 5 (/ 1 (* (PI) (sqrt 2)))) (* 4 (/ 1 (* (pow v 2) (* (PI) (sqrt 2))))))>
#<alt (+ (* 5 (/ 1 (* (PI) (sqrt 2)))) (+ (/ 4 (* (pow v 2) (* (PI) (sqrt 2)))) (/ 4 (* (pow v 4) (* (PI) (sqrt 2))))))>
#<alt (+ (* 5 (/ 1 (* (PI) (sqrt 2)))) (+ (* 4 (/ 1 (* (pow v 4) (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* (pow v 6) (* (PI) (sqrt 2))))) (/ 4 (* (pow v 2) (* (PI) (sqrt 2)))))))>
#<alt (/ 5 (* (PI) (sqrt 2)))>
#<alt (+ (* 5 (/ 1 (* (PI) (sqrt 2)))) (* 4 (/ 1 (* (pow v 2) (* (PI) (sqrt 2))))))>
#<alt (+ (* 5 (/ 1 (* (PI) (sqrt 2)))) (+ (/ 4 (* (pow v 2) (* (PI) (sqrt 2)))) (/ 4 (* (pow v 4) (* (PI) (sqrt 2))))))>
#<alt (+ (* 5 (/ 1 (* (PI) (sqrt 2)))) (+ (* 4 (/ 1 (* (pow v 4) (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* (pow v 6) (* (PI) (sqrt 2))))) (/ 4 (* (pow v 2) (* (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) (* 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 (* 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))>
#<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 (/ t (sqrt 1/2))>
#<alt (/ t (sqrt 1/2))>
#<alt (/ t (sqrt 1/2))>
#<alt (/ t (sqrt 1/2))>
#<alt (/ t (sqrt 1/2))>
#<alt (/ t (sqrt 1/2))>
#<alt (/ t (sqrt 1/2))>
#<alt (/ t (sqrt 1/2))>
#<alt (/ t (sqrt 1/2))>
#<alt (/ t (sqrt 1/2))>
#<alt (/ t (sqrt 1/2))>
#<alt (/ t (sqrt 1/2))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
Calls

45 calls:

TimeVariablePointExpression
8.0ms
t
@0
(/ (/ 1 t) (pow 1/2 -1/2))
1.0ms
t
@0
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt 2) (* (- 1 (* v v)) (PI)))) t)
1.0ms
v
@0
(/ (+ 1 (* v (* v -5))) (* (sqrt 2) (* (- 1 (* v v)) (PI))))
1.0ms
v
@inf
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt 2) (* (- 1 (* v v)) (PI)))) t)
1.0ms
v
@0
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt 2) (* (- 1 (* v v)) (PI)))) t)

rewrite516.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
5194×*-lowering-*.f32
5194×*-lowering-*.f64
3172×/-lowering-/.f32
3172×/-lowering-/.f64
1600×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031104
118598
2135497
0915697
Stop Event
1×iter limit
1×node limit
Counts
18 → 1223
Calls
Call 1
Inputs
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt 2) (* (- 1 (* v v)) (PI)))) t)
(/ (+ 1 (* v (* v -5))) (* (sqrt 2) (* (- 1 (* v v)) (PI))))
(+ 1 (* v (* v -5)))
(* v (* v -5))
(/ (/ (sqrt 1/2) (PI)) t)
(/ (sqrt 1/2) (PI))
(sqrt 1/2)
(PI)
(/ 1 (* (* t (PI)) (sqrt 2)))
(* (* t (PI)) (sqrt 2))
(* t (PI))
(/ (/ 1 (/ t (sqrt 1/2))) (PI))
(/ 1 (/ t (sqrt 1/2)))
(/ t (sqrt 1/2))
(/ (/ (/ 1 t) (pow 1/2 -1/2)) (PI))
(/ (/ 1 t) (pow 1/2 -1/2))
(/ 1 t)
(pow 1/2 -1/2)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))) (/.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))))) (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 25 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))))))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t))))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))))
(neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) #s(literal -1 binary64))) t))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) t)))
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(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) t))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) #s(literal -1 binary64))
(/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 t (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) t))
(/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) t)))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) t) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) t))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))))
(pow.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) t))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) t)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) t) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) t)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 t #s(literal -1/2 binary64))) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 t #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 t) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) t))
(neg.f64 (/.f64 #s(literal -1 binary64) t))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) t)
(/.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) t))
(/.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1 binary64))
(pow.f64 t #s(literal -1 binary64))
(pow.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 t t) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 t)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (pow.f64 t #s(literal -1/2 binary64)))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/8 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/8 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)))

simplify267.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
4284×*-lowering-*.f32
4284×*-lowering-*.f64
2298×/-lowering-/.f32
2298×/-lowering-/.f64
1534×times-frac
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0951554
12721450
28331378
325781290
467821286
082671286
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(/ 5 (* t (* (PI) (sqrt 2))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(/ 5 (* t (* (PI) (sqrt 2))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ 1 (* (PI) (sqrt 2)))
(+ (* -4 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2))))
(+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* (PI) (sqrt 2)))) (* 4 (/ 1 (* (PI) (sqrt 2)))))) (/ 1 (* (PI) (sqrt 2))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* (PI) (sqrt 2)))) (* 4 (/ 1 (* (PI) (sqrt 2)))))) (* 4 (/ 1 (* (PI) (sqrt 2)))))) (/ 1 (* (PI) (sqrt 2))))
(/ 5 (* (PI) (sqrt 2)))
(+ (* 5 (/ 1 (* (PI) (sqrt 2)))) (* 4 (/ 1 (* (pow v 2) (* (PI) (sqrt 2))))))
(+ (* 5 (/ 1 (* (PI) (sqrt 2)))) (+ (/ 4 (* (pow v 2) (* (PI) (sqrt 2)))) (/ 4 (* (pow v 4) (* (PI) (sqrt 2))))))
(+ (* 5 (/ 1 (* (PI) (sqrt 2)))) (+ (* 4 (/ 1 (* (pow v 4) (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* (pow v 6) (* (PI) (sqrt 2))))) (/ 4 (* (pow v 2) (* (PI) (sqrt 2)))))))
(/ 5 (* (PI) (sqrt 2)))
(+ (* 5 (/ 1 (* (PI) (sqrt 2)))) (* 4 (/ 1 (* (pow v 2) (* (PI) (sqrt 2))))))
(+ (* 5 (/ 1 (* (PI) (sqrt 2)))) (+ (/ 4 (* (pow v 2) (* (PI) (sqrt 2)))) (/ 4 (* (pow v 4) (* (PI) (sqrt 2))))))
(+ (* 5 (/ 1 (* (PI) (sqrt 2)))) (+ (* 4 (/ 1 (* (pow v 4) (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* (pow v 6) (* (PI) (sqrt 2))))) (/ 4 (* (pow v 2) (* (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) (* 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))))
(* 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))
(* 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)
(/ 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))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 (* t (sqrt 2)))
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
Outputs
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+.f64 (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))))) (*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(/ 5 (* t (* (PI) (sqrt 2))))
(/.f64 (/.f64 #s(literal 5 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(/ (sqrt 1/2) t)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(/ (sqrt 1/2) t)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(/ (sqrt 1/2) t)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(/ (sqrt 1/2) t)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(/ t (sqrt 1/2))
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
(/ t (sqrt 1/2))
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
(/ t (sqrt 1/2))
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
(/ t (sqrt 1/2))
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
(/ t (sqrt 1/2))
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
(/ t (sqrt 1/2))
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
(/ t (sqrt 1/2))
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
(/ t (sqrt 1/2))
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
(/ t (sqrt 1/2))
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
(/ t (sqrt 1/2))
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
(/ t (sqrt 1/2))
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
(/ t (sqrt 1/2))
(/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* t (sqrt 2)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (* t (sqrt 2)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (* t (sqrt 2)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (* t (sqrt 2)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (* t (sqrt 2)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (* t (sqrt 2)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (* t (sqrt 2)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (* t (sqrt 2)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (* t (sqrt 2)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (* t (sqrt 2)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (* t (sqrt 2)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (* t (sqrt 2)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)

eval211.0ms (1.8%)

Compiler

Compiled 29215 to 3249 computations (88.9% saved)

prune166.0ms (1.5%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New168261688
Fresh516
Picked415
Done145
Total1692121704
Accuracy
100.0%
Counts
1704 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
98.7%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
✓99.9%
(/.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)))) t)
✓98.2%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
✓98.2%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
✓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))))
99.2%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) t)
✓98.3%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
98.3%
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))
98.8%
(*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 724 to 261 computations (64% saved)

regimes55.0ms (0.5%)

Counts
36 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
(*.f64 (/.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 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (PI.f64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) t))
(/.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) 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)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) (/.f64 #s(literal 1 binary64) t))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #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)))) (*.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)
Calls

5 calls:

12.0ms
(/.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))))
11.0ms
v
10.0ms
t
10.0ms
(*.f64 (PI.f64) t)
9.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.9%1v
99.9%1t
99.9%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))))
99.9%1(*.f64 v v)
99.9%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes39.0ms (0.3%)

Counts
30 → 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 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (PI.f64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) t))
(/.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)))
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

4 calls:

10.0ms
v
9.0ms
(*.f64 v v)
9.0ms
(*.f64 (PI.f64) t)
8.0ms
t
Results
AccuracySegmentsBranch
99.6%1v
99.6%1t
99.6%1(*.f64 v v)
99.6%1(*.f64 (PI.f64) t)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes39.0ms (0.3%)

Counts
29 → 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 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (PI.f64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) t))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) t))
Calls

4 calls:

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

Compiled 16 to 11 computations (31.3% saved)

regimes35.0ms (0.3%)

Counts
28 → 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 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (PI.f64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
Calls

4 calls:

9.0ms
t
8.0ms
(*.f64 (PI.f64) t)
8.0ms
v
6.0ms
(*.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)

regimes37.0ms (0.3%)

Counts
27 → 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 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (PI.f64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) t)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) t)
Calls

4 calls:

13.0ms
t
8.0ms
(*.f64 (PI.f64) t)
8.0ms
v
6.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.2%1v
99.2%1t
99.2%1(*.f64 v v)
99.2%1(*.f64 (PI.f64) t)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes27.0ms (0.2%)

Counts
22 → 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 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (PI.f64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
Outputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
Calls

4 calls:

7.0ms
(*.f64 (PI.f64) t)
6.0ms
t
6.0ms
v
6.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.1%1v
99.1%1t
99.1%1(*.f64 v v)
99.1%1(*.f64 (PI.f64) t)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes16.0ms (0.1%)

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

3 calls:

7.0ms
(*.f64 (PI.f64) t)
4.0ms
t
4.0ms
v
Results
AccuracySegmentsBranch
98.8%1v
98.8%1t
98.8%1(*.f64 (PI.f64) t)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (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 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
Calls

3 calls:

7.0ms
v
3.0ms
(*.f64 (PI.f64) t)
3.0ms
t
Results
AccuracySegmentsBranch
98.8%1v
98.8%1t
98.8%1(*.f64 (PI.f64) t)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (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 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
Calls

3 calls:

2.0ms
(*.f64 (PI.f64) t)
2.0ms
t
2.0ms
v
Results
AccuracySegmentsBranch
98.4%1v
98.4%1t
98.4%1(*.f64 (PI.f64) t)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.3b remaining (-23.9%)

Threshold costs -0.3b (-23.9%)

Counts
3 → 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)
Outputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
Calls

2 calls:

2.0ms
t
2.0ms
v
Results
AccuracySegmentsBranch
98.3%1v
98.3%1t
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
051158
180158
295158
3103158
4108158
5109158
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.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)))) t)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) 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 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.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)))) (*.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 (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) t))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.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 (+.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 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))

soundness2.4s (21.4%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
035203
1211194
21540186
08476186
034129
1206125
21468122
08800122
02322136
17671801
235061765
081011765
02923131
19372658
237552571
080152571
01959
111257
284255
0843955
01925
15825
219122
394721
4497020
0832920
0951554
12721450
28331378
325781290
467821286
082671286
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
Compiler

Compiled 322 to 189 computations (41.3% saved)

preprocess89.0ms (0.8%)

Remove

(negabs t)

(abs v)

Compiler

Compiled 1052 to 590 computations (43.9% saved)

end0.0ms (0%)

Profiling

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