Falkner and Boettcher, Appendix B, 2

Time bar (total: 9.6s)

analyze5.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 21 to 15 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (40.1% of total)
ival-sqrt: 1.0ms (40.1% of total)
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.0s (10.8%)

Results
765.0ms8256×0valid
1.0ms13×0invalid
Precisions
Click to see histograms. Total time spent on operations: 575.0ms
ival-mult: 252.0ms (43.8% of total)
ival-sqrt: 137.0ms (23.8% of total)
ival-sub: 83.0ms (14.4% of total)
ival-div: 77.0ms (13.4% of total)
const: 23.0ms (4% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess257.0ms (2.7%)

Algorithm
2×egg-herbie
Rules
2030×fma-lowering-fma.f32
2030×fma-lowering-fma.f64
1914×*-lowering-*.f32
1914×*-lowering-*.f64
1702×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02358
17357
219151
364851
4211551
5588951
01419
13619
28817
324117
474217
5178717
6306817
7546717
8753517
0809817
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
Outputs
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
Call 2
Inputs
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (neg v) (neg v)))))) (- 1 (* (neg v) (neg v))))
(neg (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (neg v) (neg v)))))) (- 1 (* (neg v) (neg v)))))
Outputs
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(* (sqrt 2) (* (sqrt (fnmsub 3 (* v v) -1)) (/ (fnmsub v v -1) 4)))
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (neg v) (neg v)))))) (- 1 (* (neg v) (neg v))))
(* (sqrt 2) (* (sqrt (fnmsub 3 (* v v) -1)) (/ (fnmsub v v -1) 4)))
(neg (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (neg v) (neg v)))))) (- 1 (* (neg v) (neg v)))))
(* (* (sqrt 2) 1/4) (* (sqrt (fnmsub 3 (* v v) -1)) (fmsub v v 1)))
Symmetry

(abs v)

explain168.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 #s(literal 1 binary64) (*.f64 v v))
00-0-#s(literal 2 binary64)
00-0-v
00-0-(*.f64 #s(literal 3 binary64) (*.f64 v v))
00-0-#s(literal 4 binary64)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
00-0-(sqrt.f64 #s(literal 2 binary64))
00-0-(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 v v)
00-0-(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
00-0-(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
Results
98.0ms512×0valid
Compiler

Compiled 166 to 44 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 14.0ms (43.6% of total)
ival-sqrt: 8.0ms (24.9% of total)
ival-sub: 5.0ms (15.6% of total)
ival-div: 4.0ms (12.5% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 20 to 15 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
Compiler

Compiled 40 to 29 computations (27.5% saved)

simplify223.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
✓cost-diff0
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
✓cost-diff0
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
✓cost-diff0
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
Rules
2062×fma-lowering-fma.f32
2062×fma-lowering-fma.f64
1964×*-lowering-*.f32
1964×*-lowering-*.f64
1856×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020149
154145
2149136
3377136
4997136
51762136
63263136
75683136
08053136
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt 2) (* (sqrt (- 1 (* 3 (* v v)))) (+ 1/4 (/ (* v v) -4))))
(sqrt 2)
2
(* (sqrt (- 1 (* 3 (* v v)))) (+ 1/4 (/ (* v v) -4)))
(sqrt (- 1 (* 3 (* v v))))
(- 1 (* 3 (* v v)))
1
(* 3 (* v v))
3
(* v v)
v
(+ 1/4 (/ (* v v) -4))
1/4
(/ (* v v) -4)
-4
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
(/ (sqrt 2) 4)
(sqrt 2)
2
4
(sqrt (- 1 (* 3 (* v v))))
(- 1 (* 3 (* v v)))
1
(* 3 (* v v))
3
(* v v)
v
(- 1 (* v v))
Outputs
(* (sqrt 2) (* (sqrt (- 1 (* 3 (* v v)))) (+ 1/4 (/ (* v v) -4))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (sqrt (- 1 (* 3 (* v v)))) (+ 1/4 (/ (* v v) -4)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64))
(sqrt (- 1 (* 3 (* v v))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
(- 1 (* 3 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
1
#s(literal 1 binary64)
(* 3 (* v v))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
3
#s(literal 3 binary64)
(* v v)
(*.f64 v v)
v
(+ 1/4 (/ (* v v) -4))
(+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))
1/4
#s(literal 1/4 binary64)
(/ (* v v) -4)
(/.f64 (*.f64 v v) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64))
(/ (sqrt 2) 4)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
4
#s(literal 4 binary64)
(sqrt (- 1 (* 3 (* v v))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
(- 1 (* 3 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
1
#s(literal 1 binary64)
(* 3 (* v v))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
3
#s(literal 3 binary64)
(* v v)
(*.f64 v v)
v
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize161.0ms (1.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
✓accuracy100.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy100.0%
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
✓accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 v v))
✓accuracy100.0%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))))
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
✓accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 v v))
Results
71.0ms256×0valid
Compiler

Compiled 151 to 21 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 35.0ms (73.6% of total)
ival-div: 4.0ms (8.4% of total)
ival-sqrt: 4.0ms (8.4% of total)
ival-sub: 2.0ms (4.2% of total)
ival-add: 1.0ms (2.1% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series32.0ms (0.3%)

Counts
8 → 72
Calls
Call 1
Inputs
#<alt (* (sqrt 2) (* (sqrt (- 1 (* 3 (* v v)))) (+ 1/4 (/ (* v v) -4))))>
#<alt (sqrt 2)>
#<alt (* (sqrt (- 1 (* 3 (* v v)))) (+ 1/4 (/ (* v v) -4)))>
#<alt (sqrt (- 1 (* 3 (* v v))))>
#<alt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))>
#<alt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))>
#<alt (/ (sqrt 2) 4)>
#<alt (* 3 (* v v))>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -1/4 (sqrt 2)))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (* 3/8 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (+ (* 3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (sqrt 2)) (* 9/32 (sqrt 2)))))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))>
#<alt (* -1/4 (* (pow v 3) (sqrt -3)))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (* 1/4 (/ (sqrt -3) (pow v 2)))) (/ 1/8 (* (pow v 2) (sqrt -3)))))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))) (/ 1/8 (* (pow v 2) (sqrt -3)))))>
#<alt (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt -3) 5))) (* 1/32 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))) (/ 1/8 (* (pow v 2) (sqrt -3)))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -3)))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (* 1/4 (/ (sqrt -3) (pow v 2)))) (/ 1/8 (* (pow v 2) (sqrt -3))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))) (/ 1/8 (* (pow v 2) (sqrt -3))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt -3) 5))) (* 1/32 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))) (/ 1/8 (* (pow v 2) (sqrt -3))))))>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))>
#<alt (* v (sqrt -3))>
#<alt (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))>
#<alt (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))>
#<alt (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))>
#<alt (* -1 (* v (sqrt -3)))>
#<alt (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))>
#<alt (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))>
#<alt (* 1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))>
#<alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
Calls

18 calls:

TimeVariablePointExpression
23.0ms
v
@-inf
(sqrt (- 1 (* 3 (* v v))))
1.0ms
v
@inf
(* (sqrt 2) (* (sqrt (- 1 (* 3 (* v v)))) (+ 1/4 (/ (* v v) -4))))
1.0ms
v
@0
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
1.0ms
v
@0
(* (sqrt 2) (* (sqrt (- 1 (* 3 (* v v)))) (+ 1/4 (/ (* v v) -4))))
1.0ms
v
@inf
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))

rewrite407.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
4660×*-lowering-*.f32
4660×*-lowering-*.f64
2988×/-lowering-/.f32
2988×/-lowering-/.f64
1250×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02086
110880
281475
0806775
Stop Event
1×iter limit
1×node limit
Counts
8 → 431
Calls
Call 1
Inputs
(* (sqrt 2) (* (sqrt (- 1 (* 3 (* v v)))) (+ 1/4 (/ (* v v) -4))))
(sqrt 2)
(* (sqrt (- 1 (* 3 (* v v)))) (+ 1/4 (/ (* v v) -4)))
(sqrt (- 1 (* 3 (* v v))))
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
(/ (sqrt 2) 4)
(* 3 (* v v))
Outputs
(+.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 4 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
(fma.f64 (/.f64 v (/.f64 #s(literal -4 binary64) v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)) #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (/.f64 v (/.f64 #s(literal -4 binary64) v)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v))))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 v v) #s(literal 1/16 binary64)))) (*.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) #s(literal -1/64 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v v) (/.f64 #s(literal 16 binary64) (*.f64 v v)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) #s(literal -1/64 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 v v) #s(literal 1/16 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v v) (/.f64 #s(literal 16 binary64) (*.f64 v v)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v))))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) (neg.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) (neg.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) #s(literal -1/64 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) (+.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 v v) #s(literal 1/16 binary64)))) #s(literal -1/16 binary64)))
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(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v v) (/.f64 #s(literal 16 binary64) (*.f64 v v)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (-.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v v) (/.f64 #s(literal 16 binary64) (*.f64 v v))))) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v v) (/.f64 #s(literal 16 binary64) (*.f64 v v)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) #s(literal -1/64 binary64))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 v (/.f64 #s(literal -4 binary64) v)) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))))))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64))))
(neg.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -27 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64))))) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) #s(literal 4 binary64))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 4 binary64))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) #s(literal -4 binary64))
(/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -27 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 1 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -27 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal -1/4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal -4 binary64)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 1/4 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 1/4 binary64))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64)))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -4 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/4 binary64))
(*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(*.f64 v (*.f64 #s(literal 3 binary64) v))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) v) v)

simplify526.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
4052×*-lowering-*.f32
4052×*-lowering-*.f64
4046×+-lowering-+.f64
4046×+-lowering-+.f32
1880×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02691696
19001634
238811498
085131498
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -1/4 (sqrt 2)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (* 3/8 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (+ (* 3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (sqrt 2)) (* 9/32 (sqrt 2)))))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(* -1/4 (* (pow v 3) (sqrt -3)))
(* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (* 1/4 (/ (sqrt -3) (pow v 2)))) (/ 1/8 (* (pow v 2) (sqrt -3)))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))) (/ 1/8 (* (pow v 2) (sqrt -3)))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt -3) 5))) (* 1/32 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))) (/ 1/8 (* (pow v 2) (sqrt -3)))))
(* 1/4 (* (pow v 3) (sqrt -3)))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (* 1/4 (/ (sqrt -3) (pow v 2)))) (/ 1/8 (* (pow v 2) (sqrt -3))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))) (/ 1/8 (* (pow v 2) (sqrt -3))))))
(* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt -3) 5))) (* 1/32 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))) (/ 1/8 (* (pow v 2) (sqrt -3))))))
1
(+ 1 (* -3/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(* v (sqrt -3))
(* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))
(* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))
(* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (sqrt -3)))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -1/4 (sqrt 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (* 3/8 (sqrt 2))))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (+ (* 3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (sqrt 2)) (* 9/32 (sqrt 2)))))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v #s(literal -1/4 binary64))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -1/4 binary64)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -1/4 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64)))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
(*.f64 v (*.f64 (*.f64 v v) (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -1/4 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal -1/64 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
(*.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -1/4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -1/4 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))
(-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 (*.f64 v v) (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal -1/4 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal -1/64 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -5/8 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))
(* -1/4 (* (pow v 3) (sqrt -3)))
(*.f64 #s(literal -1/4 binary64) (*.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (* 1/4 (/ (sqrt -3) (pow v 2)))) (/ 1/8 (* (pow v 2) (sqrt -3)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v))) (/.f64 #s(literal -1/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))) (/ 1/8 (* (pow v 2) (sqrt -3)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v))) (/.f64 #s(literal -1/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt -3) 5))) (* 1/32 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))) (/ 1/8 (* (pow v 2) (sqrt -3)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))))
(* 1/4 (* (pow v 3) (sqrt -3)))
(*.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (* 1/4 (/ (sqrt -3) (pow v 2)))) (/ 1/8 (* (pow v 2) (sqrt -3))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v))) (/.f64 #s(literal -1/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))) (/ 1/8 (* (pow v 2) (sqrt -3))))))
(*.f64 (+.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v))) (/.f64 #s(literal -1/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt -3) 5))) (* 1/32 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))) (/ 1/8 (* (pow v 2) (sqrt -3))))))
(*.f64 (+.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3/2 binary64)))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) #s(literal -9/8 binary64)))))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -9/8 binary64) (*.f64 v (*.f64 v #s(literal -27/16 binary64))))))))
(* v (sqrt -3))
(*.f64 v (sqrt.f64 #s(literal -3 binary64)))
(* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))
(*.f64 v (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))))
(* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))
(*.f64 v (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -3 binary64)))))))
(* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(*.f64 v (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -3 binary64))))))))
(* -1 (* v (sqrt -3)))
(-.f64 #s(literal 0 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(*.f64 v (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))))
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
(*.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -3 binary64))))))) (-.f64 #s(literal 0 binary64) v))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))) (*.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -9/16 binary64) (*.f64 v v)))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v #s(literal -1/4 binary64))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 v v) #s(literal -9/32 binary64)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -9/32 binary64) (*.f64 (*.f64 v v) #s(literal -27/64 binary64))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) v))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(*.f64 v (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(*.f64 v (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/96 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(*.f64 v (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/96 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v #s(literal -1/4 binary64)))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(*.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(-.f64 #s(literal 0 binary64) (*.f64 v (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/96 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(*.f64 v (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/96 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))) #s(literal -1 binary64)))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3 binary64))

eval164.0ms (1.7%)

Compiler

Compiled 18005 to 1307 computations (92.7% saved)

prune57.0ms (0.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New5677574
Fresh000
Picked202
Done000
Total5697576
Accuracy
100.0%
Counts
576 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
▶100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 4 binary64))
▶99.1%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
▶99.2%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
▶98.5%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Compiler

Compiled 218 to 160 computations (26.6% saved)

simplify297.0ms (3.1%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64))))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓cost-diff0
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
✓cost-diff0
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
✓cost-diff128
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
✓cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
✓cost-diff128
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 4 binary64))
Rules
2744×*-lowering-*.f32
2744×*-lowering-*.f64
1944×sum3-define
1602×+-lowering-+.f64
1602×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033241
197220
2262211
3695211
42057211
54203211
08163211
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (- 1 (* v v)) (sqrt (* 2 (+ 1 (* (* v v) -3))))) 4)
(* (- 1 (* v v)) (sqrt (* 2 (+ 1 (* (* v v) -3)))))
(- 1 (* v v))
1
(* v v)
v
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(* 2 (+ 1 (* (* v v) -3)))
2
(+ 1 (* (* v v) -3))
(* (* v v) -3)
-3
4
(* (sqrt 2) 1/4)
(sqrt 2)
2
1/4
(* (sqrt 2) (+ 1/4 (* v (* v -5/8))))
(sqrt 2)
2
(+ 1/4 (* v (* v -5/8)))
1/4
(* v (* v -5/8))
v
(* v -5/8)
-5/8
(* (sqrt 2) (+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32))))))
(sqrt 2)
2
(+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32)))))
1/4
(* v (* v (+ -5/8 (* (* v v) 3/32))))
v
(* v (+ -5/8 (* (* v v) 3/32)))
(+ -5/8 (* (* v v) 3/32))
-5/8
(* (* v v) 3/32)
(* v v)
3/32
(* (* (sqrt 2) (+ 1/4 (* (* v v) -3/8))) (- 1 (* v v)))
(* (sqrt 2) (+ 1/4 (* (* v v) -3/8)))
(sqrt 2)
2
(+ 1/4 (* (* v v) -3/8))
1/4
(* (* v v) -3/8)
(* v v)
v
-3/8
(- 1 (* v v))
1
Outputs
(/ (* (- 1 (* v v)) (sqrt (* 2 (+ 1 (* (* v v) -3))))) 4)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) #s(literal 4 binary64))
(* (- 1 (* v v)) (sqrt (* 2 (+ 1 (* (* v v) -3)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)
(* v v)
(*.f64 v v)
v
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))
(* 2 (+ 1 (* (* v v) -3)))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
2
#s(literal 2 binary64)
(+ 1 (* (* v v) -3))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))
(* (* v v) -3)
(*.f64 v (*.f64 v #s(literal -3 binary64)))
-3
#s(literal -3 binary64)
4
#s(literal 4 binary64)
(* (sqrt 2) 1/4)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/4
#s(literal 1/4 binary64)
(* (sqrt 2) (+ 1/4 (* v (* v -5/8))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1/4 (* v (* v -5/8)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
1/4
#s(literal 1/4 binary64)
(* v (* v -5/8))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
v
(* v -5/8)
(*.f64 v #s(literal -5/8 binary64))
-5/8
#s(literal -5/8 binary64)
(* (sqrt 2) (+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32)))))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
1/4
#s(literal 1/4 binary64)
(* v (* v (+ -5/8 (* (* v v) 3/32))))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))
v
(* v (+ -5/8 (* (* v v) 3/32)))
(*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
(+ -5/8 (* (* v v) 3/32))
(+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))
-5/8
#s(literal -5/8 binary64)
(* (* v v) 3/32)
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* v v)
(*.f64 v v)
3/32
#s(literal 3/32 binary64)
(* (* (sqrt 2) (+ 1/4 (* (* v v) -3/8))) (- 1 (* v v)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal 3/8 binary64)) #s(literal -1/4 binary64))))
(* (sqrt 2) (+ 1/4 (* (* v v) -3/8)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -3/8 binary64)))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1/4 (* (* v v) -3/8))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -3/8 binary64))))
1/4
#s(literal 1/4 binary64)
(* (* v v) -3/8)
(*.f64 v (*.f64 v #s(literal -3/8 binary64)))
(* v v)
(*.f64 v v)
v
-3/8
#s(literal -3/8 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)

localize160.0ms (1.7%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
✓accuracy99.8%
(*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
✓accuracy99.8%
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))
✓accuracy100.0%
(*.f64 v #s(literal -5/8 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -3 binary64))
Results
78.0ms233×0valid
13.0ms9×3valid
7.0ms7×2valid
5.0ms7×1valid
Compiler

Compiled 243 to 34 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 29.0ms (54.7% of total)
ival-add: 7.0ms (13.2% of total)
ival-sub: 6.0ms (11.3% of total)
ival-sqrt: 4.0ms (7.5% of total)
backward-pass: 3.0ms (5.7% of total)
ival-div: 2.0ms (3.8% of total)
const: 1.0ms (1.9% of total)

series29.0ms (0.3%)

Counts
21 → 228
Calls
Call 1
Inputs
#<alt (/ (* (- 1 (* v v)) (sqrt (* 2 (+ 1 (* (* v v) -3))))) 4)>
#<alt (* (- 1 (* v v)) (sqrt (* 2 (+ 1 (* (* v v) -3)))))>
#<alt (sqrt (* 2 (+ 1 (* (* v v) -3))))>
#<alt (* 2 (+ 1 (* (* v v) -3)))>
#<alt (* (sqrt 2) 1/4)>
#<alt (sqrt 2)>
#<alt (* (sqrt 2) (+ 1/4 (* v (* v -5/8))))>
#<alt (+ 1/4 (* v (* v -5/8)))>
#<alt (* v (* v -5/8))>
#<alt (* (sqrt 2) (+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32))))))>
#<alt (+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32)))))>
#<alt (* v (* v (+ -5/8 (* (* v v) 3/32))))>
#<alt (* (* (sqrt 2) (+ 1/4 (* (* v v) -3/8))) (- 1 (* v v)))>
#<alt (* (sqrt 2) (+ 1/4 (* (* v v) -3/8)))>
#<alt (+ 1/4 (* (* v v) -3/8))>
#<alt (* (* v v) -3)>
#<alt (+ 1 (* (* v v) -3))>
#<alt (* v -5/8)>
#<alt (* (* v v) 3/32)>
#<alt (* v (+ -5/8 (* (* v v) 3/32)))>
#<alt (* (* v v) -3/8)>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* 3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2)))))))))))>
#<alt (* -1 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))>
#<alt (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))>
#<alt (* (pow v 3) (* (sqrt -3) (sqrt 2)))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))>
#<alt (* v (* (sqrt -3) (sqrt 2)))>
#<alt (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))>
#<alt (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))>
#<alt (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))>
#<alt 2>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (* 3/32 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* 3/32 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (* 3/32 (pow v 4))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* 3/32 (pow v 4))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* 3/32 (pow v 4))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* 3/32 (pow v 4))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))>
#<alt (* 3/8 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))>
#<alt (* 3/8 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -3/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -3/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -3/8 (pow v 2)))>
#<alt (+ 1/4 (* -3/8 (pow v 2)))>
#<alt (+ 1/4 (* -3/8 (pow v 2)))>
#<alt (* -3/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* -3/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt 1>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (* -3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* -3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* -5/8 v)>
#<alt (* v (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* v (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* v (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* 3/32 (pow v 3))>
#<alt (* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* 3/32 (pow v 3))>
#<alt (* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))>
#<alt (* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))>
#<alt (* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
Calls

57 calls:

TimeVariablePointExpression
1.0ms
v
@inf
(* 2 (+ 1 (* (* v v) -3)))
0.0ms
v
@0
(sqrt (* 2 (+ 1 (* (* v v) -3))))
0.0ms
v
@inf
(* (sqrt 2) (+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32))))))
0.0ms
v
@inf
(* (- 1 (* v v)) (sqrt (* 2 (+ 1 (* (* v v) -3)))))
0.0ms
v
@0
(* (sqrt 2) (+ 1/4 (* v (* v -5/8))))

rewrite385.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
4114×*-lowering-*.f32
4114×*-lowering-*.f64
3486×/-lowering-/.f32
3486×/-lowering-/.f64
1954×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033188
1182168
21442161
08491161
Stop Event
1×iter limit
1×node limit
Counts
21 → 590
Calls
Call 1
Inputs
(/ (* (- 1 (* v v)) (sqrt (* 2 (+ 1 (* (* v v) -3))))) 4)
(* (- 1 (* v v)) (sqrt (* 2 (+ 1 (* (* v v) -3)))))
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(* 2 (+ 1 (* (* v v) -3)))
(* (sqrt 2) 1/4)
(sqrt 2)
(* (sqrt 2) (+ 1/4 (* v (* v -5/8))))
(+ 1/4 (* v (* v -5/8)))
(* v (* v -5/8))
(* (sqrt 2) (+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32))))))
(+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32)))))
(* v (* v (+ -5/8 (* (* v v) 3/32))))
(* (* (sqrt 2) (+ 1/4 (* (* v v) -3/8))) (- 1 (* v v)))
(* (sqrt 2) (+ 1/4 (* (* v v) -3/8)))
(+ 1/4 (* (* v v) -3/8))
(* (* v v) -3)
(+ 1 (* (* v v) -3))
(* v -5/8)
(* (* v v) 3/32)
(* v (+ -5/8 (* (* v v) 3/32)))
(* (* v v) -3/8)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal -4 binary64)))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (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) (neg.f64 (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (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 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) #s(literal -4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.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 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.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 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))))) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.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 v v)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.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 0 binary64) (*.f64 v v))) #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) #s(literal 4 binary64))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64)))
(/.f64 (*.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 v (*.f64 v (*.f64 v v)))))) (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.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 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))))))
(/.f64 (*.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 4 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 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal -4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))))) #s(literal -4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) #s(literal -19683 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 729 binary64)) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 729 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 729 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64)) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64))) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64)) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
(*.f64 v #s(literal -5/8 binary64))
(*.f64 #s(literal -5/8 binary64) v)
(*.f64 v (*.f64 v #s(literal 3/32 binary64)))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(*.f64 #s(literal 3/32 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal 3/32 binary64)) v)
(+.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
(+.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))) (*.f64 v #s(literal -5/8 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v #s(literal -5/8 binary64))) (-.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))) (/.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))) (-.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(fma.f64 v #s(literal -5/8 binary64) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
(fma.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) (*.f64 v #s(literal -5/8 binary64)))
(fma.f64 (*.f64 v v) (*.f64 v #s(literal 3/32 binary64)) (*.f64 v #s(literal -5/8 binary64)))
(fma.f64 #s(literal -5/8 binary64) v (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
(fma.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v v)) (*.f64 v #s(literal -5/8 binary64)))
(fma.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) v (*.f64 v #s(literal -5/8 binary64)))
(fma.f64 (*.f64 v #s(literal 3/32 binary64)) (*.f64 v v) (*.f64 v #s(literal -5/8 binary64)))
(fma.f64 (*.f64 v (*.f64 v v)) #s(literal 3/32 binary64) (*.f64 v #s(literal -5/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v #s(literal -5/8 binary64))) (-.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))) (*.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))) (+.f64 (*.f64 #s(literal -125/512 binary64) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 27/32768 binary64)) (*.f64 v (*.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))) (-.f64 (*.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v #s(literal -5/8 binary64))) (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) #s(literal -5/8 binary64)))) (*.f64 v (+.f64 #s(literal -125/512 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 27/32768 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 #s(literal -3/32 binary64) (*.f64 v v))) (*.f64 v (-.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9/1024 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) #s(literal -5/8 binary64)))) (*.f64 (+.f64 #s(literal -125/512 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 27/32768 binary64))) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 #s(literal -3/32 binary64) (*.f64 v v))) (*.f64 (-.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9/1024 binary64))) v)))
(/.f64 (+.f64 (*.f64 #s(literal -125/512 binary64) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 27/32768 binary64)) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v #s(literal -5/8 binary64))) (-.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))) (*.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v #s(literal -5/8 binary64))) (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))) (-.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))
(/.f64 (*.f64 v (+.f64 #s(literal -125/512 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 27/32768 binary64)))) (+.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) #s(literal -5/8 binary64)))))
(/.f64 (*.f64 v (-.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9/1024 binary64)))) (+.f64 #s(literal -5/8 binary64) (*.f64 #s(literal -3/32 binary64) (*.f64 v v))))
(/.f64 (*.f64 (+.f64 #s(literal -125/512 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 27/32768 binary64))) v) (+.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) #s(literal -5/8 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9/1024 binary64))) v) (+.f64 #s(literal -5/8 binary64) (*.f64 #s(literal -3/32 binary64) (*.f64 v v))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -125/512 binary64) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 27/32768 binary64)) (*.f64 v (*.f64 v v))))) (neg.f64 (+.f64 (*.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v #s(literal -5/8 binary64))) (-.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))) (*.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v #s(literal -5/8 binary64))) (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))) (neg.f64 (-.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(/.f64 (neg.f64 (*.f64 v (+.f64 #s(literal -125/512 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 27/32768 binary64))))) (neg.f64 (+.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) #s(literal -5/8 binary64))))))
(/.f64 (neg.f64 (*.f64 v (-.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9/1024 binary64))))) (neg.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 #s(literal -3/32 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -125/512 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 27/32768 binary64))) v)) (neg.f64 (+.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) #s(literal -5/8 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9/1024 binary64))) v)) (neg.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 #s(literal -3/32 binary64) (*.f64 v v)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 27/32768 binary64)) (*.f64 v (*.f64 v v))) (*.f64 #s(literal -125/512 binary64) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))) (-.f64 (*.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v #s(literal -5/8 binary64))) (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64))) (*.f64 v #s(literal -5/8 binary64))))))
(*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
(*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))) v)
(*.f64 v (*.f64 v #s(literal -3/8 binary64)))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal -3/8 binary64)) v)

simplify326.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
5160×*-lowering-*.f32
5160×*-lowering-*.f64
4628×+-lowering-+.f64
4628×+-lowering-+.f32
1894×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02472790
18262656
234992652
085582652
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(sqrt 2)
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* 3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2)))))))))))
(* -1 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
(* (pow v 3) (* (sqrt -3) (sqrt 2)))
(* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
(sqrt 2)
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(* v (* (sqrt -3) (sqrt 2)))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(* 3/32 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* 3/32 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(* 3/32 (pow v 4))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))
(* 3/32 (pow v 4))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))
(* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))
(* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))
(* 3/32 (pow v 4))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* 3/32 (pow v 4))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(* 3/8 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(* 3/8 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -3/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -3/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
1/4
(+ 1/4 (* -3/8 (pow v 2)))
(+ 1/4 (* -3/8 (pow v 2)))
(+ 1/4 (* -3/8 (pow v 2)))
(* -3/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* -3/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
1
(+ 1 (* -3 (pow v 2)))
(+ 1 (* -3 (pow v 2)))
(+ 1 (* -3 (pow v 2)))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* -5/8 v)
(* v (- (* 3/32 (pow v 2)) 5/8))
(* v (- (* 3/32 (pow v 2)) 5/8))
(* v (- (* 3/32 (pow v 2)) 5/8))
(* 3/32 (pow v 3))
(* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* 3/32 (pow v 3))
(* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))
(* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))
(* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/16 binary64)) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/24 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (+.f64 (/.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/24 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/24 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
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(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/2 binary64) (*.f64 v v))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))
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(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* 3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2)))))))))))
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(* -1 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
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(* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))
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(* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
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(* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
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(* (pow v 3) (* (sqrt -3) (sqrt 2)))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))
(* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))
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(* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
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(* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
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(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
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(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
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(* v (* (sqrt -3) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
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(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(*.f64 v (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) v) (/.f64 #s(literal 1/2 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 1/24 binary64)))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
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(* -1 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
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(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
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(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
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2
#s(literal 2 binary64)
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(+ 2 (* -6 (pow v 2)))
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(+ 2 (* -6 (pow v 2)))
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(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
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(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* -6 (pow v 2))
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(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
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(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
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(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
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(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
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(* -5/8 (* (pow v 2) (sqrt 2)))
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(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
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(* -5/8 (* (pow v 2) (sqrt 2)))
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(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
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1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -5/8 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
(+ 1/4 (* -5/8 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
(+ 1/4 (* -5/8 (pow v 2)))
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(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
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(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* v (- (* 3/32 (pow v 2)) 5/8))
(*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
(* v (- (* 3/32 (pow v 2)) 5/8))
(*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
(* v (- (* 3/32 (pow v 2)) 5/8))
(*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
(* 3/32 (pow v 3))
(*.f64 (*.f64 v (*.f64 v v)) #s(literal 3/32 binary64))
(* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(* 3/32 (pow v 3))
(*.f64 (*.f64 v (*.f64 v v)) #s(literal 3/32 binary64))
(* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))

eval139.0ms (1.4%)

Compiler

Compiled 26284 to 2438 computations (90.7% saved)

prune122.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New8354839
Fresh112
Picked325
Done000
Total8397846
Accuracy
100.0%
Counts
846 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
▶100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
▶97.7%
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
▶99.2%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))))
✓99.2%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
▶52.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))))
✓98.5%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Compiler

Compiled 176 to 130 computations (26.1% saved)

simplify203.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))
✓cost-diff0
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff6528
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
✓cost-diff128
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
✓cost-diff128
(/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
✓cost-diff128
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))))
✓cost-diff256
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff128
(*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
✓cost-diff256
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
✓cost-diff256
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 v v))
✓cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
Rules
2472×*-lowering-*.f32
2472×*-lowering-*.f64
2222×fma-define
1700×fma-lowering-fma.f32
1700×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036280
1101275
2279270
3755232
41506232
52542232
64403232
77349232
08135232
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (- 1 (* v v)) (sqrt (+ (* (* v v) -6) 2))) 4)
(* (- 1 (* v v)) (sqrt (+ (* (* v v) -6) 2)))
(- 1 (* v v))
1
(* v v)
v
(sqrt (+ (* (* v v) -6) 2))
(+ (* (* v v) -6) 2)
(* (* v v) -6)
-6
2
4
(* (sqrt 2) (* v (* v (+ -5/8 (/ 1/4 (* v v))))))
(sqrt 2)
2
(* v (* v (+ -5/8 (/ 1/4 (* v v)))))
v
(* v (+ -5/8 (/ 1/4 (* v v))))
(+ -5/8 (/ 1/4 (* v v)))
-5/8
(/ 1/4 (* v v))
1/4
(* v v)
(* (sqrt 2) (/ 1 (/ 1 (+ 1/4 (* v (* v -5/8))))))
(sqrt 2)
2
(/ 1 (/ 1 (+ 1/4 (* v (* v -5/8)))))
1
(/ 1 (+ 1/4 (* v (* v -5/8))))
(+ 1/4 (* v (* v -5/8)))
1/4
(* v (* v -5/8))
v
(* v -5/8)
-5/8
(/ (- 1 (* v v)) (/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))
(- 1 (* v v))
1
(* v v)
v
(/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))
4
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(* 2 (+ 1 (* (* v v) -3)))
2
(+ 1 (* (* v v) -3))
(* (* v v) -3)
-3
(* (pow (pow 2 1/4) 2) (+ 1/4 (* v (* v -5/8))))
(pow (pow 2 1/4) 2)
(pow 2 1/4)
2
1/4
(+ 1/4 (* v (* v -5/8)))
(* v (* v -5/8))
v
(* v -5/8)
-5/8
Outputs
(/ (* (- 1 (* v v)) (sqrt (+ (* (* v v) -6) 2))) 4)
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))))
(* (- 1 (* v v)) (sqrt (+ (* (* v v) -6) 2)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)
(* v v)
(*.f64 v v)
v
(sqrt (+ (* (* v v) -6) 2))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))
(+ (* (* v v) -6) 2)
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
(* (* v v) -6)
(*.f64 v (*.f64 v #s(literal -6 binary64)))
-6
#s(literal -6 binary64)
2
#s(literal 2 binary64)
4
#s(literal 4 binary64)
(* (sqrt 2) (* v (* v (+ -5/8 (/ 1/4 (* v v))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* v (* v (+ -5/8 (/ 1/4 (* v v)))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
v
(* v (+ -5/8 (/ 1/4 (* v v))))
(+.f64 (*.f64 v #s(literal -5/8 binary64)) (/.f64 #s(literal 1/4 binary64) v))
(+ -5/8 (/ 1/4 (* v v)))
(+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))
-5/8
#s(literal -5/8 binary64)
(/ 1/4 (* v v))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
1/4
#s(literal 1/4 binary64)
(* v v)
(*.f64 v v)
(* (sqrt 2) (/ 1 (/ 1 (+ 1/4 (* v (* v -5/8))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (/ 1 (+ 1/4 (* v (* v -5/8)))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
1
#s(literal 1 binary64)
(/ 1 (+ 1/4 (* v (* v -5/8))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(+ 1/4 (* v (* v -5/8)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
1/4
#s(literal 1/4 binary64)
(* v (* v -5/8))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
v
(* v -5/8)
(*.f64 v #s(literal -5/8 binary64))
-5/8
#s(literal -5/8 binary64)
(/ (- 1 (* v v)) (/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)
(* v v)
(*.f64 v v)
v
(/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
4
#s(literal 4 binary64)
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))
(* 2 (+ 1 (* (* v v) -3)))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
2
#s(literal 2 binary64)
(+ 1 (* (* v v) -3))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
(* (* v v) -3)
(*.f64 (*.f64 v v) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(* (pow (pow 2 1/4) 2) (+ 1/4 (* v (* v -5/8))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(pow (pow 2 1/4) 2)
(sqrt.f64 #s(literal 2 binary64))
(pow 2 1/4)
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
2
#s(literal 2 binary64)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* v (* v -5/8)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
(* v (* v -5/8))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
v
(* v -5/8)
(*.f64 v #s(literal -5/8 binary64))
-5/8
#s(literal -5/8 binary64)

localize179.0ms (1.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 v #s(literal -5/8 binary64))
✓accuracy100.0%
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
✓accuracy98.4%
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -3 binary64))
✓accuracy98.5%
(/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
✓accuracy98.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))))
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))))
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))))
✓accuracy99.8%
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
✓accuracy99.8%
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
✓accuracy55.1%
(*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
✓accuracy100.0%
(+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
Results
115.0ms256×0valid
Compiler

Compiled 290 to 37 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 31.0ms (46.2% of total)
ival-div: 15.0ms (22.4% of total)
ival-pow: 8.0ms (11.9% of total)
ival-sqrt: 6.0ms (8.9% of total)
ival-add: 5.0ms (7.5% of total)
ival-sub: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts
26 → 276
Calls
Call 1
Inputs
#<alt (/ (* (- 1 (* v v)) (sqrt (+ (* (* v v) -6) 2))) 4)>
#<alt (* (- 1 (* v v)) (sqrt (+ (* (* v v) -6) 2)))>
#<alt (- 1 (* v v))>
#<alt (* v v)>
#<alt (* (sqrt 2) (* v (* v (+ -5/8 (/ 1/4 (* v v))))))>
#<alt (* v (* v (+ -5/8 (/ 1/4 (* v v)))))>
#<alt (* v (+ -5/8 (/ 1/4 (* v v))))>
#<alt (sqrt 2)>
#<alt (* (sqrt 2) (/ 1 (/ 1 (+ 1/4 (* v (* v -5/8))))))>
#<alt (/ 1 (/ 1 (+ 1/4 (* v (* v -5/8)))))>
#<alt (/ 1 (+ 1/4 (* v (* v -5/8))))>
#<alt (/ (- 1 (* v v)) (/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))>
#<alt (/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))>
#<alt (sqrt (* 2 (+ 1 (* (* v v) -3))))>
#<alt (* 2 (+ 1 (* (* v v) -3)))>
#<alt (* (pow (pow 2 1/4) 2) (+ 1/4 (* v (* v -5/8))))>
#<alt (pow (pow 2 1/4) 2)>
#<alt (pow 2 1/4)>
#<alt (+ 1/4 (* v (* v -5/8)))>
#<alt (* (* v v) -6)>
#<alt (sqrt (+ (* (* v v) -6) 2))>
#<alt (+ (* (* v v) -6) 2)>
#<alt (/ 1/4 (* v v))>
#<alt (* v (* v -5/8))>
#<alt (* (* v v) -3)>
#<alt (* v -5/8)>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* -1 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 3) (sqrt -6))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (/ 1/4 v)>
#<alt (/ (+ 1/4 (* -5/8 (pow v 2))) v)>
#<alt (/ (+ 1/4 (* -5/8 (pow v 2))) v)>
#<alt (/ (+ 1/4 (* -5/8 (pow v 2))) v)>
#<alt (* -5/8 v)>
#<alt (* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* -5/8 v)>
#<alt (* -1 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))>
#<alt (* -1 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))>
#<alt (* -1 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt 4>
#<alt (+ 4 (* 10 (pow v 2)))>
#<alt (+ 4 (* (pow v 2) (+ 10 (* 25 (pow v 2)))))>
#<alt (+ 4 (* (pow v 2) (+ 10 (* (pow v 2) (+ 25 (* 125/2 (pow v 2)))))))>
#<alt (/ -8/5 (pow v 2))>
#<alt (* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))>
#<alt (/ -8/5 (pow v 2))>
#<alt (* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))>
#<alt (/ 4 (sqrt 2))>
#<alt (+ (* 6 (/ (pow v 2) (sqrt 2))) (* 4 (/ 1 (sqrt 2))))>
#<alt (+ (* (pow v 2) (+ (* 27/2 (/ (pow v 2) (sqrt 2))) (* 6 (/ 1 (sqrt 2))))) (* 4 (/ 1 (sqrt 2))))>
#<alt (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 135/4 (/ (pow v 2) (sqrt 2))) (* 27/2 (/ 1 (sqrt 2))))) (* 6 (/ 1 (sqrt 2))))) (* 4 (/ 1 (sqrt 2))))>
#<alt (* 4 (/ (sqrt -1/3) (* v (sqrt 2))))>
#<alt (/ (- (* 4 (/ (sqrt -1/3) (sqrt 2))) (* 2/9 (/ 1 (* (pow v 2) (* (sqrt -1/3) (sqrt 2)))))) v)>
#<alt (/ (- (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2)))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v)>
#<alt (/ (- (+ (* -2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* (pow v 6) (* (sqrt -1/3) (sqrt 2))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2))))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v)>
#<alt (* -4 (/ (sqrt -1/3) (* v (sqrt 2))))>
#<alt (* -1 (/ (- (* 4 (/ (sqrt -1/3) (sqrt 2))) (* 2/9 (/ 1 (* (pow v 2) (* (sqrt -1/3) (sqrt 2)))))) v))>
#<alt (* -1 (/ (- (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2)))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v))>
#<alt (* -1 (/ (- (+ (* -2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* (pow v 6) (* (sqrt -1/3) (sqrt 2))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2))))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))>
#<alt (* v (* (sqrt -3) (sqrt 2)))>
#<alt (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))>
#<alt (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))>
#<alt (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))>
#<alt 2>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<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 2>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
Calls

69 calls:

TimeVariablePointExpression
3.0ms
v
@inf
(/ (* (- 1 (* v v)) (sqrt (+ (* (* v v) -6) 2))) 4)
2.0ms
v
@inf
(/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))
1.0ms
v
@0
(/ (* (- 1 (* v v)) (sqrt (+ (* (* v v) -6) 2))) 4)
1.0ms
v
@0
(/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))
0.0ms
v
@inf
(* (sqrt 2) (* v (* v (+ -5/8 (/ 1/4 (* v v))))))

rewrite423.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
3862×/-lowering-/.f32
3862×/-lowering-/.f64
3292×*-lowering-*.f32
3292×*-lowering-*.f64
1890×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036207
1227184
21672174
08427174
Stop Event
1×iter limit
1×node limit
Counts
26 → 1116
Calls
Call 1
Inputs
(/ (* (- 1 (* v v)) (sqrt (+ (* (* v v) -6) 2))) 4)
(* (- 1 (* v v)) (sqrt (+ (* (* v v) -6) 2)))
(- 1 (* v v))
(* v v)
(* (sqrt 2) (* v (* v (+ -5/8 (/ 1/4 (* v v))))))
(* v (* v (+ -5/8 (/ 1/4 (* v v)))))
(* v (+ -5/8 (/ 1/4 (* v v))))
(sqrt 2)
(* (sqrt 2) (/ 1 (/ 1 (+ 1/4 (* v (* v -5/8))))))
(/ 1 (/ 1 (+ 1/4 (* v (* v -5/8)))))
(/ 1 (+ 1/4 (* v (* v -5/8))))
(/ (- 1 (* v v)) (/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))
(/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(* 2 (+ 1 (* (* v v) -3)))
(* (pow (pow 2 1/4) 2) (+ 1/4 (* v (* v -5/8))))
(pow (pow 2 1/4) 2)
(pow 2 1/4)
(+ 1/4 (* v (* v -5/8)))
(* (* v v) -6)
(sqrt (+ (* (* v v) -6) 2))
(+ (* (* v v) -6) 2)
(/ 1/4 (* v v))
(* v (* v -5/8))
(* (* v v) -3)
(* v -5/8)
Outputs
(+.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))) (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (/.f64 v (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (/.f64 v #s(literal 4 binary64)) (/.f64 (/.f64 (*.f64 v v) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (neg.f64 (/.f64 (/.f64 (*.f64 v v) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (neg.f64 (*.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) v))) (fma.f64 (neg.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))))) v (*.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) v)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 v v)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 v v))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (neg.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 v v) #s(literal 4 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 v v) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 v v) #s(literal 4 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (*.f64 v v) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64))) (/.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (*.f64 v v) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64))))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) (/.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (neg.f64 (*.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) v))) (fma.f64 (neg.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))))) v (*.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) v)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 v v)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 v v))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (neg.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 v v) #s(literal 4 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 v v) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 v v) #s(literal 4 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (*.f64 v v) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64))) (/.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (*.f64 v v) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64))))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) (/.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))) #s(literal 4 binary64)) (neg.f64 (*.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) v))) (fma.f64 (neg.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))))) v (*.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) v)))
(+.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))) #s(literal 4 binary64)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 v v)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 v v))))
(+.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))) #s(literal 4 binary64)) (neg.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 v v) #s(literal 4 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 v v) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 v v) #s(literal 4 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))) #s(literal 4 binary64)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (*.f64 v v) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64))) (/.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (*.f64 v v) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))) #s(literal 4 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64))))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) (/.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) v))) (fma.f64 (neg.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))))) v (*.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) v)))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 v v)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 v v))))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 v v) #s(literal 4 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 v v) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 v v) #s(literal 4 binary64)))))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (*.f64 v v) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64))) (/.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (*.f64 v v) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64))))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) (/.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))) #s(literal 2 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -216 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64))))))
(*.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 v v) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 v v) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 v v) #s(literal 1/4 binary64))))
(/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)))))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) v)) (-.f64 #s(literal 0 binary64) v))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) v))) (neg.f64 (-.f64 #s(literal 0 binary64) v)))
(pow.f64 (/.f64 (*.f64 v v) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 1/4 binary64) v) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1/4 binary64) v))
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal -5/8 binary64)) v)
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 v v))
(*.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 v #s(literal -3 binary64)) v)
(*.f64 (*.f64 #s(literal 1 binary64) v) (*.f64 v #s(literal -3 binary64)))
(*.f64 v #s(literal -5/8 binary64))
(*.f64 #s(literal -5/8 binary64) v)

simplify416.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
4810×*-lowering-*.f32
4810×*-lowering-*.f64
2248×+-lowering-+.f64
2248×+-lowering-+.f32
1536×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03913490
112683211
249093120
080773120
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
(sqrt 2)
(+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))
(* -1 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (sqrt -6))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))
1
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(/ 1/4 v)
(/ (+ 1/4 (* -5/8 (pow v 2))) v)
(/ (+ 1/4 (* -5/8 (pow v 2))) v)
(/ (+ 1/4 (* -5/8 (pow v 2))) v)
(* -5/8 v)
(* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 v)
(* -1 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))
(* -1 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))
(* -1 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
4
(+ 4 (* 10 (pow v 2)))
(+ 4 (* (pow v 2) (+ 10 (* 25 (pow v 2)))))
(+ 4 (* (pow v 2) (+ 10 (* (pow v 2) (+ 25 (* 125/2 (pow v 2)))))))
(/ -8/5 (pow v 2))
(* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))
(/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))
(/ -8/5 (pow v 2))
(* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))
(/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(/ 4 (sqrt 2))
(+ (* 6 (/ (pow v 2) (sqrt 2))) (* 4 (/ 1 (sqrt 2))))
(+ (* (pow v 2) (+ (* 27/2 (/ (pow v 2) (sqrt 2))) (* 6 (/ 1 (sqrt 2))))) (* 4 (/ 1 (sqrt 2))))
(+ (* (pow v 2) (+ (* (pow v 2) (+ (* 135/4 (/ (pow v 2) (sqrt 2))) (* 27/2 (/ 1 (sqrt 2))))) (* 6 (/ 1 (sqrt 2))))) (* 4 (/ 1 (sqrt 2))))
(* 4 (/ (sqrt -1/3) (* v (sqrt 2))))
(/ (- (* 4 (/ (sqrt -1/3) (sqrt 2))) (* 2/9 (/ 1 (* (pow v 2) (* (sqrt -1/3) (sqrt 2)))))) v)
(/ (- (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2)))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v)
(/ (- (+ (* -2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* (pow v 6) (* (sqrt -1/3) (sqrt 2))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2))))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v)
(* -4 (/ (sqrt -1/3) (* v (sqrt 2))))
(* -1 (/ (- (* 4 (/ (sqrt -1/3) (sqrt 2))) (* 2/9 (/ 1 (* (pow v 2) (* (sqrt -1/3) (sqrt 2)))))) v))
(* -1 (/ (- (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2)))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v))
(* -1 (/ (- (+ (* -2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* (pow v 6) (* (sqrt -1/3) (sqrt 2))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2))))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v))
(sqrt 2)
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(* v (* (sqrt -3) (sqrt 2)))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -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)))))))
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (+.f64 (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))))) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(*.f64 (*.f64 v v) (*.f64 v (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 v v))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))))) (*.f64 #s(literal -1/4 binary64) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 v v)))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(*.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))))) (*.f64 #s(literal -1/4 binary64) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (+.f64 (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))))) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* (pow v 3) (sqrt -6)))
(*.f64 (*.f64 v v) (*.f64 v (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -6 binary64)))))
(* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))
(*.f64 v (*.f64 (*.f64 v v) (-.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))
(* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))
(*.f64 (*.f64 v (*.f64 v v)) (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) (sqrt.f64 #s(literal -6 binary64))))
(* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6)))))
(*.f64 (*.f64 v (*.f64 v v)) (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))) (sqrt.f64 #s(literal -6 binary64))))
(* (pow v 3) (sqrt -6))
(*.f64 (*.f64 v v) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))
(-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 (*.f64 v v) (-.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) (sqrt.f64 #s(literal -6 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))
(*.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)))) (sqrt.f64 #s(literal -6 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* -1 (pow v 2))
(-.f64 #s(literal 0 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* -1 (pow v 2))
(-.f64 #s(literal 0 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))
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1/4
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(+ 2 (* -6 (pow v 2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
(+ 2 (* -6 (pow v 2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(* -5/8 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
(* -5/8 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
(* -5/8 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
(* -5/8 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
(* -5/8 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
(* -5/8 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
(* -5/8 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
(* -5/8 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
(* -5/8 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
(* -5/8 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
(* -5/8 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
(* -5/8 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))

eval320.0ms (3.4%)

Compiler

Compiled 43453 to 3418 computations (92.1% saved)

prune229.0ms (2.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New165661662
Fresh000
Picked415
Done022
Total166091669
Accuracy
100.0%
Counts
1669 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))))
✓100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
▶99.2%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
▶97.7%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
▶98.8%
(*.f64 (+.f64 (*.f64 v #s(literal -5/8 binary64)) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))
52.3%
(*.f64 (*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) v)
✓99.2%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
▶98.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (/.f64 #s(literal 1/4 binary64) v)))
✓98.5%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Compiler

Compiled 195 to 154 computations (21% saved)

simplify162.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
✓cost-diff0
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff128
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1/4 binary64) v)
✓cost-diff0
(*.f64 v #s(literal -5/8 binary64))
✓cost-diff0
(+.f64 (*.f64 v #s(literal -5/8 binary64)) (/.f64 #s(literal 1/4 binary64) v))
✓cost-diff128
(*.f64 (+.f64 (*.f64 v #s(literal -5/8 binary64)) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1/4 binary64) v)
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff256
(*.f64 v (/.f64 #s(literal 1/4 binary64) v))
✓cost-diff256
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (/.f64 #s(literal 1/4 binary64) v)))
✓cost-diff0
(/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 v v))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))))
Rules
1798×*-lowering-*.f32
1798×*-lowering-*.f64
1744×fma-define
1332×sum5-define
1268×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031209
177204
2179202
3393174
4672174
51204174
62452174
74974174
08207174
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1 (* v v)) (/ 4 (sqrt (+ (* v (* v -6)) 2))))
(- 1 (* v v))
1
(* v v)
v
(/ 4 (sqrt (+ (* v (* v -6)) 2)))
4
(sqrt (+ (* v (* v -6)) 2))
(+ (* v (* v -6)) 2)
(* v (* v -6))
(* v -6)
-6
2
(* (sqrt 2) (* v (/ 1/4 v)))
(sqrt 2)
2
(* v (/ 1/4 v))
v
(/ 1/4 v)
1/4
(* (+ (* v -5/8) (/ 1/4 v)) (* v (sqrt 2)))
(+ (* v -5/8) (/ 1/4 v))
(* v -5/8)
v
-5/8
(/ 1/4 v)
1/4
(* v (sqrt 2))
(sqrt 2)
2
(/ (sqrt 2) (/ 1 (+ 1/4 (* (* v v) -5/8))))
(sqrt 2)
2
(/ 1 (+ 1/4 (* (* v v) -5/8)))
1
(+ 1/4 (* (* v v) -5/8))
1/4
(* (* v v) -5/8)
(* v v)
v
-5/8
(* (/ 1 (pow 2 -1/2)) (+ 1/4 (* (* v v) -5/8)))
(/ 1 (pow 2 -1/2))
1
(pow 2 -1/2)
2
-1/2
(+ 1/4 (* (* v v) -5/8))
1/4
(* (* v v) -5/8)
(* v v)
v
-5/8
Outputs
(/ (- 1 (* v v)) (/ 4 (sqrt (+ (* v (* v -6)) 2))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)
(* v v)
(*.f64 v v)
v
(/ 4 (sqrt (+ (* v (* v -6)) 2)))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
4
#s(literal 4 binary64)
(sqrt (+ (* v (* v -6)) 2))
(sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))
(+ (* v (* v -6)) 2)
(+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))
(* v (* v -6))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* v -6)
(*.f64 v #s(literal -6 binary64))
-6
#s(literal -6 binary64)
2
#s(literal 2 binary64)
(* (sqrt 2) (* v (/ 1/4 v)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* v (/ 1/4 v))
#s(literal 1/4 binary64)
v
(/ 1/4 v)
(/.f64 #s(literal 1/4 binary64) v)
1/4
#s(literal 1/4 binary64)
(* (+ (* v -5/8) (/ 1/4 v)) (* v (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(+ (* v -5/8) (/ 1/4 v))
(+.f64 (/.f64 #s(literal 1/4 binary64) v) (*.f64 v #s(literal -5/8 binary64)))
(* v -5/8)
(*.f64 v #s(literal -5/8 binary64))
v
-5/8
#s(literal -5/8 binary64)
(/ 1/4 v)
(/.f64 #s(literal 1/4 binary64) v)
1/4
#s(literal 1/4 binary64)
(* v (sqrt 2))
(*.f64 v (sqrt.f64 #s(literal 2 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (sqrt 2) (/ 1 (+ 1/4 (* (* v v) -5/8))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (+ 1/4 (* (* v v) -5/8)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
1
#s(literal 1 binary64)
(+ 1/4 (* (* v v) -5/8))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
1/4
#s(literal 1/4 binary64)
(* (* v v) -5/8)
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* v v)
(*.f64 v v)
v
-5/8
#s(literal -5/8 binary64)
(* (/ 1 (pow 2 -1/2)) (+ 1/4 (* (* v v) -5/8)))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/ 1 (pow 2 -1/2))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(pow 2 -1/2)
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
2
#s(literal 2 binary64)
-1/2
#s(literal -1/2 binary64)
(+ 1/4 (* (* v v) -5/8))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
1/4
#s(literal 1/4 binary64)
(* (* v v) -5/8)
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* v v)
(*.f64 v v)
v
-5/8
#s(literal -5/8 binary64)

localize143.0ms (1.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 v v)
✓accuracy100.0%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓accuracy100.0%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 (*.f64 v #s(literal -5/8 binary64)) (/.f64 #s(literal 1/4 binary64) v))
✓accuracy99.3%
(*.f64 v (sqrt.f64 #s(literal 2 binary64)))
✓accuracy99.3%
(*.f64 (+.f64 (*.f64 v #s(literal -5/8 binary64)) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 #s(literal 1/4 binary64) v)
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (/.f64 #s(literal 1/4 binary64) v)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.8%
(*.f64 v (/.f64 #s(literal 1/4 binary64) v))
✓accuracy100.0%
(sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -6 binary64)))
✓accuracy98.5%
(/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))
✓accuracy98.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))))
Results
89.0ms256×0valid
Compiler

Compiled 205 to 32 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 16.0ms (35.9% of total)
ival-div: 13.0ms (29.2% of total)
ival-pow: 5.0ms (11.2% of total)
ival-add: 4.0ms (9% of total)
ival-sqrt: 4.0ms (9% of total)
ival-sub: 1.0ms (2.2% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
21 → 216
Calls
Call 1
Inputs
#<alt (/ (- 1 (* v v)) (/ 4 (sqrt (+ (* v (* v -6)) 2))))>
#<alt (- 1 (* v v))>
#<alt (* v v)>
#<alt (/ 4 (sqrt (+ (* v (* v -6)) 2)))>
#<alt (* (sqrt 2) (* v (/ 1/4 v)))>
#<alt (* v (/ 1/4 v))>
#<alt (sqrt 2)>
#<alt (/ 1/4 v)>
#<alt (* (+ (* v -5/8) (/ 1/4 v)) (* v (sqrt 2)))>
#<alt (+ (* v -5/8) (/ 1/4 v))>
#<alt (* v -5/8)>
#<alt (/ (sqrt 2) (/ 1 (+ 1/4 (* (* v v) -5/8))))>
#<alt (/ 1 (+ 1/4 (* (* v v) -5/8)))>
#<alt (+ 1/4 (* (* v v) -5/8))>
#<alt (* (/ 1 (pow 2 -1/2)) (+ 1/4 (* (* v v) -5/8)))>
#<alt (/ 1 (pow 2 -1/2))>
#<alt (pow 2 -1/2)>
#<alt (* v (* v -6))>
#<alt (sqrt (+ (* v (* v -6)) 2))>
#<alt (* v (sqrt 2))>
#<alt (* (* v v) -5/8)>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (* 4 (sqrt 1/2))>
#<alt (+ (* 3 (/ (pow v 2) (sqrt 1/2))) (* 4 (sqrt 1/2)))>
#<alt (+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3 (/ 1 (sqrt 1/2))))))>
#<alt (+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3 (/ 1 (sqrt 1/2))))))>
#<alt (* 4 (/ (sqrt -1/6) v))>
#<alt (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)>
#<alt (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)>
#<alt (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)>
#<alt (* -4 (/ (sqrt -1/6) v))>
#<alt (* -1 (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))>
#<alt (* -1 (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))>
#<alt (* -1 (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))>
#<alt (* 1/4 (sqrt 2))>
#<alt (* 1/4 (sqrt 2))>
#<alt (* 1/4 (sqrt 2))>
#<alt (* 1/4 (sqrt 2))>
#<alt (* 1/4 (sqrt 2))>
#<alt (* 1/4 (sqrt 2))>
#<alt (* 1/4 (sqrt 2))>
#<alt (* 1/4 (sqrt 2))>
#<alt (* 1/4 (sqrt 2))>
#<alt (* 1/4 (sqrt 2))>
#<alt (* 1/4 (sqrt 2))>
#<alt (* 1/4 (sqrt 2))>
#<alt 1/4>
#<alt 1/4>
#<alt 1/4>
#<alt 1/4>
#<alt 1/4>
#<alt 1/4>
#<alt 1/4>
#<alt 1/4>
#<alt 1/4>
#<alt 1/4>
#<alt 1/4>
#<alt 1/4>
#<alt (/ 1/4 v)>
#<alt (/ 1/4 v)>
#<alt (/ 1/4 v)>
#<alt (/ 1/4 v)>
#<alt (/ 1/4 v)>
#<alt (/ 1/4 v)>
#<alt (/ 1/4 v)>
#<alt (/ 1/4 v)>
#<alt (/ 1/4 v)>
#<alt (/ 1/4 v)>
#<alt (/ 1/4 v)>
#<alt (/ 1/4 v)>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (/ 1/4 v)>
#<alt (/ (+ 1/4 (* -5/8 (pow v 2))) v)>
#<alt (/ (+ 1/4 (* -5/8 (pow v 2))) v)>
#<alt (/ (+ 1/4 (* -5/8 (pow v 2))) v)>
#<alt (* -5/8 v)>
#<alt (* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* -5/8 v)>
#<alt (* -1 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))>
#<alt (* -1 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))>
#<alt (* -1 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* -5/8 v)>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt 4>
#<alt (+ 4 (* 10 (pow v 2)))>
#<alt (+ 4 (* (pow v 2) (+ 10 (* 25 (pow v 2)))))>
#<alt (+ 4 (* (pow v 2) (+ 10 (* (pow v 2) (+ 25 (* 125/2 (pow v 2)))))))>
#<alt (/ -8/5 (pow v 2))>
#<alt (* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))>
#<alt (/ -8/5 (pow v 2))>
#<alt (* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (/ 1/4 (sqrt 1/2))>
#<alt (+ (* -5/8 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))>
#<alt (+ (* -5/8 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))>
#<alt (+ (* -5/8 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))>
#<alt (* -5/8 (/ (pow v 2) (sqrt 1/2)))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))>
#<alt (* -5/8 (/ (pow v 2) (sqrt 1/2)))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (* -6 (pow v 2))>
#<alt (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 (* v (sqrt 2))>
#<alt (* v (sqrt 2))>
#<alt (* v (sqrt 2))>
#<alt (* v (sqrt 2))>
#<alt (* v (sqrt 2))>
#<alt (* v (sqrt 2))>
#<alt (* v (sqrt 2))>
#<alt (* v (sqrt 2))>
#<alt (* v (sqrt 2))>
#<alt (* v (sqrt 2))>
#<alt (* v (sqrt 2))>
#<alt (* v (sqrt 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
Calls

54 calls:

TimeVariablePointExpression
2.0ms
v
@0
(* (+ (* v -5/8) (/ 1/4 v)) (* v (sqrt 2)))
1.0ms
v
@inf
(/ 4 (sqrt (+ (* v (* v -6)) 2)))
1.0ms
v
@0
(/ 4 (sqrt (+ (* v (* v -6)) 2)))
1.0ms
v
@-inf
(* (+ (* v -5/8) (/ 1/4 v)) (* v (sqrt 2)))
0.0ms
v
@0
(* (/ 1 (pow 2 -1/2)) (+ 1/4 (* (* v v) -5/8)))

rewrite412.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
3916×/-lowering-/.f32
3916×/-lowering-/.f64
3380×*-lowering-*.f32
3380×*-lowering-*.f64
1758×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031133
1183131
21419114
08251114
Stop Event
1×iter limit
1×node limit
Counts
21 → 1582
Calls
Call 1
Inputs
(/ (- 1 (* v v)) (/ 4 (sqrt (+ (* v (* v -6)) 2))))
(- 1 (* v v))
(* v v)
(/ 4 (sqrt (+ (* v (* v -6)) 2)))
(* (sqrt 2) (* v (/ 1/4 v)))
(* v (/ 1/4 v))
(sqrt 2)
(/ 1/4 v)
(* (+ (* v -5/8) (/ 1/4 v)) (* v (sqrt 2)))
(+ (* v -5/8) (/ 1/4 v))
(* v -5/8)
(/ (sqrt 2) (/ 1 (+ 1/4 (* (* v v) -5/8))))
(/ 1 (+ 1/4 (* (* v v) -5/8)))
(+ 1/4 (* (* v v) -5/8))
(* (/ 1 (pow 2 -1/2)) (+ 1/4 (* (* v v) -5/8)))
(/ 1 (pow 2 -1/2))
(pow 2 -1/2)
(* v (* v -6))
(sqrt (+ (* v (* v -6)) 2))
(* v (sqrt 2))
(* (* v v) -5/8)
Outputs
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (fma.f64 (neg.f64 (/.f64 v (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (/.f64 v #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 v v) #s(literal 4 binary64)) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 v v) #s(literal 4 binary64)) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (neg.f64 (*.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) v))) (fma.f64 (neg.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))))) v (*.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) v)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 v v)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 v v))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (neg.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 v v) #s(literal 4 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 v v) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 v v) #s(literal 4 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64))))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) (/.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (neg.f64 (*.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) v))) (fma.f64 (neg.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))))) v (*.f64 (/.f64 v (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))))) v)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 v v)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 v v))))
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(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(*.f64 v (*.f64 v #s(literal -6 binary64)))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal -6 binary64)) v)
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal -4 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64)) #s(literal 8 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64)) #s(literal 8 binary64))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (*.f64 (*.f64 v v) #s(literal -12 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64)) #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64)))))
(pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64)) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64)) #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))) (/.f64 v (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (*.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 v #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (*.f64 v #s(literal -1 binary64))))
(/.f64 v (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(/.f64 v (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) v)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))))
(/.f64 (/.f64 v #s(literal 1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(/.f64 (/.f64 v #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) v) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(/.f64 (*.f64 v #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (/.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (*.f64 v #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 v (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
(*.f64 v (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) v)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 v #s(literal 1 binary64)))
(*.f64 (/.f64 v (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 v #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 v (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 v (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) v) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 v #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 v (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) (/.f64 v (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))))
(*.f64 (/.f64 v #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 v (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))))
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal -5/8 binary64)) v)

simplify322.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
6150×*-lowering-*.f32
6150×*-lowering-*.f64
2978×+-lowering-+.f64
2978×+-lowering-+.f32
1926×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02701978
18251738
227951715
084041715
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
1
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 4 (sqrt 1/2))
(+ (* 3 (/ (pow v 2) (sqrt 1/2))) (* 4 (sqrt 1/2)))
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3 (/ 1 (sqrt 1/2))))))
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3 (/ 1 (sqrt 1/2))))))
(* 4 (/ (sqrt -1/6) v))
(/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)
(/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)
(/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)
(* -4 (/ (sqrt -1/6) v))
(* -1 (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))
(* -1 (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))
(* -1 (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))
(* 1/4 (sqrt 2))
(* 1/4 (sqrt 2))
(* 1/4 (sqrt 2))
(* 1/4 (sqrt 2))
(* 1/4 (sqrt 2))
(* 1/4 (sqrt 2))
(* 1/4 (sqrt 2))
(* 1/4 (sqrt 2))
(* 1/4 (sqrt 2))
(* 1/4 (sqrt 2))
(* 1/4 (sqrt 2))
(* 1/4 (sqrt 2))
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
(/ 1/4 v)
(/ 1/4 v)
(/ 1/4 v)
(/ 1/4 v)
(/ 1/4 v)
(/ 1/4 v)
(/ 1/4 v)
(/ 1/4 v)
(/ 1/4 v)
(/ 1/4 v)
(/ 1/4 v)
(/ 1/4 v)
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(/ 1/4 v)
(/ (+ 1/4 (* -5/8 (pow v 2))) v)
(/ (+ 1/4 (* -5/8 (pow v 2))) v)
(/ (+ 1/4 (* -5/8 (pow v 2))) v)
(* -5/8 v)
(* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* v (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 v)
(* -1 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))
(* -1 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))
(* -1 (* v (- 5/8 (* 1/4 (/ 1 (pow v 2))))))
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
4
(+ 4 (* 10 (pow v 2)))
(+ 4 (* (pow v 2) (+ 10 (* 25 (pow v 2)))))
(+ 4 (* (pow v 2) (+ 10 (* (pow v 2) (+ 25 (* 125/2 (pow v 2)))))))
(/ -8/5 (pow v 2))
(* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))
(/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))
(/ -8/5 (pow v 2))
(* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))
(/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(/ 1/4 (sqrt 1/2))
(+ (* -5/8 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(+ (* -5/8 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(+ (* -5/8 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(* -5/8 (/ (pow v 2) (sqrt 1/2)))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))
(* -5/8 (/ (pow v 2) (sqrt 1/2)))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(* -6 (pow v 2))
(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)))))))
(* v (sqrt 2))
(* v (sqrt 2))
(* v (sqrt 2))
(* v (sqrt 2))
(* v (sqrt 2))
(* v (sqrt 2))
(* v (sqrt 2))
(* v (sqrt 2))
(* v (sqrt 2))
(* v (sqrt 2))
(* v (sqrt 2))
(* v (sqrt 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 v v))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v (*.f64 v (*.f64 #s(literal 1/4 binary64) (+.f64 (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))))) (*.f64 v v)))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(*.f64 v (*.f64 v (*.f64 v (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(*.f64 v (*.f64 v (*.f64 v (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (*.f64 v (*.f64 v v))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))) (+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(*.f64 (*.f64 v v) (*.f64 v (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(*.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(*.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (*.f64 v (*.f64 v v))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))) (+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* -1 (pow v 2))
(-.f64 #s(literal 0 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* -1 (pow v 2))
(-.f64 #s(literal 0 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(* 4 (sqrt 1/2))
(*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* 3 (/ (pow v 2) (sqrt 1/2))) (* 4 (sqrt 1/2)))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 v (*.f64 v (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3 (/ 1 (sqrt 1/2))))))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 v v) #s(literal 27/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3 (/ 1 (sqrt 1/2))))))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 135/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 27/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))))
(* 4 (/ (sqrt -1/6) v))
(/.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) v)
(/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) v)
(/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (/.f64 #s(literal -1/36 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 v (*.f64 v (*.f64 v v))))) v)
(/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 1/72 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 5/1296 binary64) (pow.f64 v #s(literal 6 binary64)))))) v)
(* -4 (/ (sqrt -1/6) v))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -4 binary64)) v)
(* -1 (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -4 binary64))) v)
(* -1 (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1/36 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))))) v)
(* -1 (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 1/72 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 5/1296 binary64) (pow.f64 v #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) v))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
(/ 1/4 v)
(/.f64 #s(literal 1/4 binary64) v)
(/ 1/4 v)
(/.f64 #s(literal 1/4 binary64) v)
(/ 1/4 v)
(/.f64 #s(literal 1/4 binary64) v)
(/ 1/4 v)
(/.f64 #s(literal 1/4 binary64) v)
(/ 1/4 v)
(/.f64 #s(literal 1/4 binary64) v)
(/ 1/4 v)
(/.f64 #s(literal 1/4 binary64) v)
(/ 1/4 v)
(/.f64 #s(literal 1/4 binary64) v)
(/ 1/4 v)
(/.f64 #s(literal 1/4 binary64) v)
(/ 1/4 v)
(/.f64 #s(literal 1/4 binary64) v)
(/ 1/4 v)
(/.f64 #s(literal 1/4 binary64) v)
(/ 1/4 v)
(/.f64 #s(literal 1/4 binary64) v)
(/ 1/4 v)
(/.f64 #s(literal 1/4 binary64) v)
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
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eval252.0ms (2.6%)

Compiler

Compiled 48814 to 3118 computations (93.6% saved)

prune160.0ms (1.7%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New204442048
Fresh011
Picked325
Done033
Total2047102057
Accuracy
100.0%
Counts
2057 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))))
97.7%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
✓100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
99.1%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 10 binary64))))
97.0%
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
97.2%
(*.f64 (/.f64 v (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/4 binary64) v))
✓98.8%
(*.f64 (+.f64 (*.f64 v #s(literal -5/8 binary64)) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))
52.3%
(*.f64 (*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) v)
✓99.2%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
✓98.5%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Compiler

Compiled 423 to 194 computations (54.1% saved)

regimes20.0ms (0.2%)

Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (/.f64 #s(literal 1/4 binary64) v)))
(*.f64 (/.f64 v (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/4 binary64) v))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 10 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(*.f64 (+.f64 (*.f64 v #s(literal -5/8 binary64)) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))))
(*.f64 (*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) v)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
Outputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
Calls

3 calls:

7.0ms
(*.f64 v v)
6.0ms
v
5.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Results
AccuracySegmentsBranch
100.0%1v
100.0%1(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
100.0%1(*.f64 v v)
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes31.0ms (0.3%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (/.f64 #s(literal 1/4 binary64) v)))
(*.f64 (/.f64 v (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/4 binary64) v))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 10 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(*.f64 (+.f64 (*.f64 v #s(literal -5/8 binary64)) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))))
(*.f64 (*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) v)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Outputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
Calls

2 calls:

25.0ms
(*.f64 v v)
5.0ms
v
Results
AccuracySegmentsBranch
99.3%1v
99.3%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes9.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (/.f64 #s(literal 1/4 binary64) v)))
(*.f64 (/.f64 v (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/4 binary64) v))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 10 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(*.f64 (+.f64 (*.f64 v #s(literal -5/8 binary64)) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))))
(*.f64 (*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) v)
Outputs
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
Calls

2 calls:

4.0ms
v
4.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.2%1v
99.2%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes9.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (/.f64 #s(literal 1/4 binary64) v)))
(*.f64 (/.f64 v (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/4 binary64) v))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 10 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(*.f64 (+.f64 (*.f64 v #s(literal -5/8 binary64)) (/.f64 #s(literal 1/4 binary64) v)) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
Calls

2 calls:

3.0ms
v
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.2%1v
99.2%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -1.0b remaining (-105.4%)

Threshold costs -1b (-105.4%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (/.f64 #s(literal 1/4 binary64) v)))
(*.f64 (/.f64 v (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/4 binary64) v))
Outputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Calls

1 calls:

2.0ms
v
Results
AccuracySegmentsBranch
98.5%1v
Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
26×*-commutative_binary64
16×+-commutative_binary64
6×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03158
15558
26258
36658
46858
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Outputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))

soundness1.7s (17.9%)

Rules
4660×*-lowering-*.f32
4660×*-lowering-*.f64
4114×*-lowering-*.f32
4114×*-lowering-*.f64
4052×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036207
1227184
21672174
08427174
02691696
19001634
238811498
085131498
01419
13619
28817
324117
474217
5178717
6306817
7546717
8753517
0809817
033188
1182168
21442161
08491161
02086
110880
281475
0806775
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
Compiler

Compiled 154 to 108 computations (29.9% saved)

preprocess36.0ms (0.4%)

Remove

(abs v)

Compiler

Compiled 192 to 114 computations (40.6% saved)

end0.0ms (0%)

Profiling

Loading profile data...