Falkner and Boettcher, Appendix B, 2

Time bar (total: 7.3s)

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: 3.0ms
ival-mult: 1.0ms (38.5% of total)
ival-sqrt: 1.0ms (38.5% 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)

sample1.1s (15.1%)

Results
805.0ms8256×0valid
1.0ms7×0invalid
Precisions
Click to see histograms. Total time spent on operations: 605.0ms
ival-mult: 246.0ms (40.7% of total)
ival-sqrt: 154.0ms (25.5% of total)
ival-sub: 98.0ms (16.2% of total)
ival-div: 83.0ms (13.7% of total)
const: 21.0ms (3.5% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess220.0ms (3%)

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)

explain134.0ms (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
73.0ms512×0valid
Compiler

Compiled 166 to 44 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 25.0ms (56.2% of total)
ival-sqrt: 8.0ms (18% of total)
ival-sub: 5.0ms (11.2% of total)
ival-div: 4.0ms (9% of total)
const: 1.0ms (2.2% 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 (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 20 to 15 computations (25% saved)

simplify58.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓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
962×fma-define
548×sum3-define
410×fma-lowering-fma.f32
410×fma-lowering-fma.f64
286×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01578
13975
210271
321371
434071
542171
652971
755971
867171
9139971
10151971
11158271
0158271
Stop Event
1×iter limit
1×saturated
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
Outputs
(* (sqrt 2) (* (sqrt (- 1 (* 3 (* v v)))) (+ 1/4 (/ (* v v) -4))))
(*.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 1/4 binary64) (/.f64 (*.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 (sqrt.f64 (+.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))))
(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)

localize239.0ms (3.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓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
221.0ms256×0valid
Compiler

Compiled 80 to 16 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-sqrt: 188.0ms (93.5% of total)
ival-mult: 7.0ms (3.5% of total)
ival-div: 2.0ms (1% of total)
ival-sub: 1.0ms (0.5% of total)
ival-add: 1.0ms (0.5% of total)
const: 1.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
5 → 48
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 (* 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 (* 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

12 calls:

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

rewrite239.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
3934×*-lowering-*.f32
3934×*-lowering-*.f64
2564×/-lowering-/.f32
2564×/-lowering-/.f64
1280×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01550
17847
257944
3735244
0811644
Stop Event
1×iter limit
1×node limit
Counts
5 → 176
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))))
(* 3 (* v v))
Outputs
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 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 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))))))
(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 1/4 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 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 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
(fma.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 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 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))) #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 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 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))) (/.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64)))) (*.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -64 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 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 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))))))
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(*.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))) (+.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -64 binary64)))) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))) (*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))))))) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))) (-.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))) #s(literal 1/16 binary64)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))) (+.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -64 binary64)))) (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64)))))) (-.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 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 1/16 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 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 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 1/64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -64 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (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 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -27 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.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 v (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))) (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 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) #s(literal 1 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 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))) (neg.f64 (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 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 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 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 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)
(*.f64 (*.f64 #s(literal 3 binary64) v) (*.f64 v #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) v) (*.f64 #s(literal 3 binary64) v))

simplify300.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
5558×*-lowering-*.f32
5558×*-lowering-*.f64
5202×+-lowering-+.f64
5202×+-lowering-+.f32
1336×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01821012
1544974
22137881
08419881
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
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)))))))
(* 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 (*.f64 v v) #s(literal -9/64 binary64)))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))) #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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 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 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 (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)) (*.f64 v v)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 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 (*.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 (*.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))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 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)) (*.f64 v v)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.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) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 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 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 (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)) (*.f64 v v)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 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 (+.f64 (*.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)) (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))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 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)) (*.f64 v v)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
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 (*.f64 v 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 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))))
(* -1/4 (* (pow v 3) (sqrt -3)))
(*.f64 v (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/4 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 v (*.f64 (*.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 v (*.f64 v (*.f64 v v)))) (/.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v (*.f64 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 #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 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v (*.f64 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))))))
(* 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 (+.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 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -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 v (*.f64 v (*.f64 v v)))) (/.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v (*.f64 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 #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 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v (*.f64 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 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 v (*.f64 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 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* 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 (+.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 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 (/.f64 #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 (* v (sqrt -3)))
(*.f64 v (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -3 binary64))))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(*.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) v))
(* -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 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))))) (-.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 (+.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 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 (/.f64 #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) v))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))

eval30.0ms (0.4%)

Compiler

Compiled 8412 to 803 computations (90.5% saved)

prune29.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2186224
Fresh000
Picked011
Done000
Total2187225
Accuracy
100.0%
Counts
225 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
98.5%
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #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)))))
▶100.0%
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))))
▶99.5%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
▶99.5%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
✓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)))))
▶98.8%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Compiler

Compiled 212 to 159 computations (25% saved)

simplify40.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))
✓cost-diff128
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))
✓cost-diff128
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))))
✓cost-diff256
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
✓cost-diff0
(*.f64 (*.f64 v 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 (*.f64 v 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 (*.f64 v 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 v (*.f64 v #s(literal -3 binary64))))
✓cost-diff128
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))
✓cost-diff128
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))))
✓cost-diff128
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))))
Rules
592×fma-define
428×fma-lowering-fma.f32
428×fma-lowering-fma.f64
416×*-lowering-*.f32
416×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030254
177225
2204219
3463219
4703219
5791219
6825219
7859219
8881219
9885219
10891219
11893219
0893219
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (+ 1/4 (/ (* v v) -4)) (sqrt (+ 2 (* 2 (* v (* v -3))))))
(+ 1/4 (/ (* v v) -4))
1/4
(/ (* v v) -4)
(* v v)
v
-4
(sqrt (+ 2 (* 2 (* v (* v -3)))))
(+ 2 (* 2 (* v (* v -3))))
2
(* 2 (* v (* v -3)))
(* v (* v -3))
(* v -3)
-3
(* (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)
v
(+ -5/8 (* (* v v) 3/32))
-5/8
(* (* v v) 3/32)
3/32
(/ (sqrt (+ 2 (* 2 (* v (* v -3))))) (/ 1 (+ 1/4 (/ (* v v) -4))))
(sqrt (+ 2 (* 2 (* v (* v -3)))))
(+ 2 (* 2 (* v (* v -3))))
2
(* 2 (* v (* v -3)))
(* v (* v -3))
v
(* v -3)
-3
(/ 1 (+ 1/4 (/ (* v v) -4)))
1
(+ 1/4 (/ (* v v) -4))
1/4
(/ (* v v) -4)
(* v v)
-4
Outputs
(* (+ 1/4 (/ (* v v) -4)) (sqrt (+ 2 (* 2 (* v (* v -3))))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(+ 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))
(* v v)
(*.f64 v v)
v
-4
#s(literal -4 binary64)
(sqrt (+ 2 (* 2 (* v (* v -3)))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(+ 2 (* 2 (* v (* v -3))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
2
#s(literal 2 binary64)
(* 2 (* v (* v -3)))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* v (* v -3))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* v -3)
(*.f64 v #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(* (sqrt 2) 1/4)
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 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 (*.f64 v 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 (*.f64 v 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 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
(* v v)
(*.f64 v v)
v
(+ -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))
3/32
#s(literal 3/32 binary64)
(/ (sqrt (+ 2 (* 2 (* v (* v -3))))) (/ 1 (+ 1/4 (/ (* v v) -4))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(sqrt (+ 2 (* 2 (* v (* v -3)))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(+ 2 (* 2 (* v (* v -3))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
2
#s(literal 2 binary64)
(* 2 (* v (* v -3)))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* v (* v -3))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
v
(* v -3)
(*.f64 v #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(/ 1 (+ 1/4 (/ (* v v) -4)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))))
1
#s(literal 1 binary64)
(+ 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))
(* v v)
(*.f64 v v)
-4
#s(literal -4 binary64)

localize175.0ms (2.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))))
✓accuracy100.0%
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -3 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 (*.f64 v 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 (*.f64 v 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%
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -3 binary64)))
Results
93.0ms256×0valid
Compiler

Compiled 259 to 31 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 20.0ms (55.2% of total)
ival-add: 6.0ms (16.6% of total)
ival-div: 5.0ms (13.8% of total)
ival-sqrt: 4.0ms (11% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

series30.0ms (0.4%)

Counts
16 → 168
Calls
Call 1
Inputs
#<alt (* (+ 1/4 (/ (* v v) -4)) (sqrt (+ 2 (* 2 (* v (* v -3))))))>
#<alt (sqrt (+ 2 (* 2 (* v (* v -3)))))>
#<alt (+ 2 (* 2 (* v (* v -3))))>
#<alt (* 2 (* 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 (* 2 (* v (* v -3))))) (/ 1 (+ 1/4 (/ (* v v) -4))))>
#<alt (* v (* v -3))>
#<alt (* v -5/8)>
#<alt (* (* v v) 3/32)>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<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 (* -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 (* 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 (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<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)>
#<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))>
Calls

42 calls:

TimeVariablePointExpression
19.0ms
v
@inf
(* v -5/8)
1.0ms
v
@inf
(* (sqrt 2) (+ 1/4 (* v (* v -5/8))))
1.0ms
v
@inf
(* (+ 1/4 (/ (* v v) -4)) (sqrt (+ 2 (* 2 (* v (* v -3))))))
1.0ms
v
@0
(* (+ 1/4 (/ (* v v) -4)) (sqrt (+ 2 (* 2 (* v (* v -3))))))
0.0ms
v
@inf
(* (sqrt 2) (+ 1/4 (* (* v v) (+ -5/8 (* (* v v) 3/32)))))

rewrite349.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
3808×*-lowering-*.f32
3808×*-lowering-*.f64
3120×/-lowering-/.f32
3120×/-lowering-/.f64
2460×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030143
1167124
21310120
08597120
Stop Event
1×iter limit
1×node limit
Counts
16 → 454
Calls
Call 1
Inputs
(* (+ 1/4 (/ (* v v) -4)) (sqrt (+ 2 (* 2 (* v (* v -3))))))
(sqrt (+ 2 (* 2 (* v (* v -3)))))
(+ 2 (* 2 (* v (* v -3))))
(* 2 (* 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 (* 2 (* v (* v -3))))) (/ 1 (+ 1/4 (/ (* v v) -4))))
(* v (* v -3))
(* v -5/8)
(* (* v v) 3/32)
Outputs
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (/.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 16 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v)))) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -64 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 v v))) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 16 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (/.f64 (*.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 1/64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -64 binary64)))) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 16 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(/.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -64 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 16 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -64 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 16 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -64 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 16 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64))) (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v)))) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v)))))))
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(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 16 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -64 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v))))))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 16 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/2 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 #s(literal -3 binary64)) v)
(*.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)

simplify282.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
4536×*-lowering-*.f32
4536×*-lowering-*.f64
2210×+-lowering-+.f64
2210×+-lowering-+.f32
1744×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01782048
15241949
216421888
361701888
081991888
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(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))
(* -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))
(* 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))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -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)
(* 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))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v (*.f64 v (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 9/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -27/8 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(*.f64 v (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(*.f64 (*.f64 v (*.f64 v 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 v v)) (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (/.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.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 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
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(* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v #s(literal 3/32 binary64))))))
(* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v #s(literal 3/32 binary64))))))
(* 3/32 (pow v 4))
(*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 3/32 binary64))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 4 binary64)) (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 4 binary64)) (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 4 binary64)) (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(* 3/32 (pow v 4))
(*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 3/32 binary64))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 4 binary64)) (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 4 binary64)) (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 4 binary64)) (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v (*.f64 v (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 9/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -27/8 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(*.f64 v (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(*.f64 (*.f64 v (*.f64 v 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 v v)) (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (/.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.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 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(*.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 v v)) (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (/.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1/4 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 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.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))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 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 v (*.f64 v #s(literal 3/32 binary64)))
(* 3/32 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3/32 binary64)))
(* 3/32 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3/32 binary64)))
(* 3/32 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3/32 binary64)))
(* 3/32 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3/32 binary64)))
(* 3/32 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3/32 binary64)))
(* 3/32 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3/32 binary64)))
(* 3/32 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3/32 binary64)))
(* 3/32 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3/32 binary64)))
(* 3/32 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3/32 binary64)))
(* 3/32 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3/32 binary64)))
(* 3/32 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3/32 binary64)))

eval91.0ms (1.3%)

Compiler

Compiled 22723 to 1543 computations (93.2% saved)

prune88.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New7754779
Fresh101
Picked325
Done101
Total7806786
Accuracy
100.0%
Counts
786 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))
▶99.5%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))))
▶100.0%
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
▶47.4%
(*.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)))))
✓99.5%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
✓98.8%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Compiler

Compiled 79 to 60 computations (24.1% saved)

simplify283.0ms (3.9%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(/.f64 (*.f64 v v) #s(literal -4 binary64))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 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-diff128
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(/.f64 (*.f64 v v) #s(literal -4 binary64))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
✓cost-diff0
(*.f64 v v)
✓cost-diff256
(*.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)))))
Rules
4128×/-lowering-/.f32
4128×/-lowering-/.f64
3768×*-lowering-*.f32
3768×*-lowering-*.f64
2120×associate-/r*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028198
161192
2155192
3348192
4597182
5870182
61457182
72374182
82608182
92762182
102925182
113124182
123378182
137328182
08471182
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* v v) (* (sqrt 2) (+ -5/8 (/ 1/4 (* v v)))))
(* v v)
v
(* (sqrt 2) (+ -5/8 (/ 1/4 (* v v))))
(sqrt 2)
2
(+ -5/8 (/ 1/4 (* v v)))
-5/8
(/ 1/4 (* v v))
1/4
(* (+ 1/4 (/ (* v v) -4)) (sqrt (+ (* (* v v) -6) 2)))
(+ 1/4 (/ (* v v) -4))
1/4
(/ (* v v) -4)
(* v v)
v
-4
(sqrt (+ (* (* v v) -6) 2))
(+ (* (* v v) -6) 2)
(* (* v v) -6)
-6
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 -5/8)
-5/8
(/ (+ 1/4 (/ (* v v) -4)) (pow (+ 2 (* (* v v) -6)) -1/2))
(+ 1/4 (/ (* v v) -4))
1/4
(/ (* v v) -4)
(* v v)
v
-4
(pow (+ 2 (* (* v v) -6)) -1/2)
(+ 2 (* (* v v) -6))
2
(* (* v v) -6)
-6
-1/2
Outputs
(* (* v v) (* (sqrt 2) (+ -5/8 (/ 1/4 (* v v)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(* v v)
(*.f64 v v)
v
(* (sqrt 2) (+ -5/8 (/ 1/4 (* v v))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ -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)
(* (+ 1/4 (/ (* v v) -4)) (sqrt (+ (* (* v v) -6) 2)))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(+ 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))
(* v v)
(*.f64 v v)
v
-4
#s(literal -4 binary64)
(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)
(/ (sqrt 2) (/ 1 (+ 1/4 (* v (* v -5/8)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 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 v (*.f64 v #s(literal -5/8 binary64)))))
1
#s(literal 1 binary64)
(+ 1/4 (* v (* v -5/8)))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))
1/4
#s(literal 1/4 binary64)
(* v (* v -5/8))
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
v
(* v -5/8)
(*.f64 v #s(literal -5/8 binary64))
-5/8
#s(literal -5/8 binary64)
(/ (+ 1/4 (/ (* v v) -4)) (pow (+ 2 (* (* v v) -6)) -1/2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)))
(+ 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))
(* v v)
(*.f64 v v)
v
-4
#s(literal -4 binary64)
(pow (+ 2 (* (* v v) -6)) -1/2)
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64))
(+ 2 (* (* v v) -6))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
2
#s(literal 2 binary64)
(* (* v v) -6)
(*.f64 v (*.f64 v #s(literal -6 binary64)))
-6
#s(literal -6 binary64)
-1/2
#s(literal -1/2 binary64)

localize175.0ms (2.4%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 v v)
✓accuracy100.0%
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
✓accuracy98.5%
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 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 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 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))))
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
✓accuracy100.0%
(*.f64 v v)
✓accuracy100.0%
(sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
✓accuracy99.6%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
✓accuracy49.4%
(*.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)))))
Results
123.0ms256×0valid
Compiler

Compiled 205 to 29 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 13.0ms (31.7% of total)
ival-div: 11.0ms (26.8% of total)
ival-add: 6.0ms (14.6% of total)
ival-pow: 6.0ms (14.6% of total)
ival-sqrt: 4.0ms (9.7% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
16 → 180
Calls
Call 1
Inputs
#<alt (* (* v v) (* (sqrt 2) (+ -5/8 (/ 1/4 (* v v)))))>
#<alt (* v v)>
#<alt (* (sqrt 2) (+ -5/8 (/ 1/4 (* v v))))>
#<alt (sqrt 2)>
#<alt (* (+ 1/4 (/ (* v v) -4)) (sqrt (+ (* (* v v) -6) 2)))>
#<alt (+ 1/4 (/ (* v v) -4))>
#<alt (/ (* v v) -4)>
#<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 (/ (+ 1/4 (/ (* v v) -4)) (pow (+ 2 (* (* v v) -6)) -1/2))>
#<alt (/ 1/4 (* v v))>
#<alt (* (* v v) -6)>
#<alt (sqrt (+ (* (* v v) -6) 2))>
#<alt (* v (* v -5/8))>
#<alt (pow (+ 2 (* (* v v) -6)) -1/2)>
Outputs
#<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 (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) (pow v 2)))>
#<alt (/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))>
#<alt (/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))>
#<alt (/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))>
#<alt (* -5/8 (sqrt 2))>
#<alt (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))>
#<alt (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))>
#<alt (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))>
#<alt (* -5/8 (sqrt 2))>
#<alt (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))>
#<alt (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))>
#<alt (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/4 (pow v 2)))>
#<alt (+ 1/4 (* -1/4 (pow v 2)))>
#<alt (+ 1/4 (* -1/4 (pow v 2)))>
#<alt (* -1/4 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* -1/4 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<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 (* 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 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -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 (* -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 (* -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 (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 3/4 (/ (pow v 2) (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3/4 (/ 1 (sqrt 1/2))))))>
#<alt (/ (sqrt -1/6) v)>
#<alt (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)>
#<alt (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)>
#<alt (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)>
#<alt (* -1 (/ (sqrt -1/6) v))>
#<alt (* -1 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))>
#<alt (* -1 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))>
#<alt (* -1 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))>
Calls

45 calls:

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

rewrite475.0ms (6.5%)

Algorithm
1×batch-egg-rewrite
Rules
4100×/-lowering-/.f32
4100×/-lowering-/.f64
3236×*-lowering-*.f32
3236×*-lowering-*.f64
1850×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028127
1169118
21333118
08271118
Stop Event
1×iter limit
1×node limit
Counts
16 → 568
Calls
Call 1
Inputs
(* (* v v) (* (sqrt 2) (+ -5/8 (/ 1/4 (* v v)))))
(* v v)
(* (sqrt 2) (+ -5/8 (/ 1/4 (* v v))))
(sqrt 2)
(* (+ 1/4 (/ (* v v) -4)) (sqrt (+ (* (* v v) -6) 2)))
(+ 1/4 (/ (* v v) -4))
(/ (* v v) -4)
(/ (sqrt 2) (/ 1 (+ 1/4 (* v (* v -5/8)))))
(/ 1 (+ 1/4 (* v (* v -5/8))))
(+ 1/4 (* v (* v -5/8)))
(/ (+ 1/4 (/ (* v v) -4)) (pow (+ 2 (* (* v v) -6)) -1/2))
(/ 1/4 (* v v))
(* (* v v) -6)
(sqrt (+ (* (* v v) -6) 2))
(* v (* v -5/8))
(pow (+ 2 (* (* v v) -6)) -1/2)
Outputs
(+.f64 (*.f64 (*.f64 v v) (/.f64 #s(literal -5/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 v (/.f64 #s(literal 1/4 binary64) v)))))
(+.f64 (*.f64 (/.f64 (*.f64 v v) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal -5/8 binary64)) (/.f64 (/.f64 (*.f64 v v) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))))
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(/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/4 binary64))))
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 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) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal -2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 v 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 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal -2 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 v 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 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal -2 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 v 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 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 36 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 36 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 36 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 36 binary64)) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v 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 v)) #s(literal 36 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 36 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)))
(*.f64 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)
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64)) (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal -2 binary64))))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 v 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 (pow.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 36 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 36 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal -2 binary64))) #s(literal -1/2 binary64)))

simplify285.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
4660×*-lowering-*.f32
4660×*-lowering-*.f64
2678×+-lowering-+.f64
2678×+-lowering-+.f32
1536×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02562357
17552141
225072055
083272055
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* 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)))))
(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) (pow v 2)))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
(* -5/8 (sqrt 2))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(* -5/8 (sqrt 2))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
1/4
(+ 1/4 (* -1/4 (pow v 2)))
(+ 1/4 (* -1/4 (pow v 2)))
(+ 1/4 (* -1/4 (pow v 2)))
(* -1/4 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* -1/4 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* -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))
(* 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 2))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -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))
(* -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)))))))
(* -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))
(sqrt 1/2)
(+ (sqrt 1/2) (* 3/4 (/ (pow v 2) (sqrt 1/2))))
(+ (sqrt 1/2) (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* (pow v 2) (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3/4 (/ 1 (sqrt 1/2))))))
(/ (sqrt -1/6) v)
(/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)
(/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)
(/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)
(* -1 (/ (sqrt -1/6) v))
(* -1 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))
(* -1 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))
(* -1 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))
Outputs
(* 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 #s(literal -5/8 binary64) (*.f64 v v))))
(+ (* -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 #s(literal -5/8 binary64) (*.f64 v v))))
(+ (* -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 #s(literal -5/8 binary64) (*.f64 v v))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/8 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)))))
(* (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 #s(literal -5/8 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)))))
(* (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)
(*.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) (pow v 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))) (*.f64 v v))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))) (*.f64 v v))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))) (*.f64 v v))
(* -5/8 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(* -5/8 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal 9/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 27/8 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(*.f64 v (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))) #s(literal -1/4 binary64)))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(*.f64 (*.f64 v (*.f64 v 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 v v)) (/.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v (*.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 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))) (+.f64 (+.f64 (/.f64 (/.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 v (*.f64 v (*.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))))) (/.f64 #s(literal -1/4 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(*.f64 v (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/4 binary64)))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(-.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 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v (*.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 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))) (+.f64 (+.f64 (/.f64 (/.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 v (*.f64 v (*.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))))) (/.f64 #s(literal -1/4 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/4 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64)))
(+ 1/4 (* -1/4 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64)))
(+ 1/4 (* -1/4 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64)))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(*.f64 v (*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(*.f64 v (*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(*.f64 v (*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(*.f64 v (*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(*.f64 v (*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(*.f64 v (*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* 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 #s(literal -5/8 binary64) (*.f64 v v))))
(+ (* -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 #s(literal -5/8 binary64) (*.f64 v v))))
(+ (* -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 #s(literal -5/8 binary64) (*.f64 v v))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
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(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
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(+ (sqrt 1/2) (* 3/4 (/ (pow v 2) (sqrt 1/2))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (sqrt 1/2) (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 v (*.f64 v #s(literal 27/16 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(+ (sqrt 1/2) (* (pow v 2) (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3/4 (/ 1 (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 135/32 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 27/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(/ (sqrt -1/6) v)
(/.f64 (sqrt.f64 #s(literal -1/6 binary64)) v)
(/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/6 binary64)) (/.f64 #s(literal -1/36 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)
(/.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1/6 binary64)) (/.f64 #s(literal -1/36 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 (/.f64 #s(literal -1/144 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 v (*.f64 v (*.f64 v v))))) v)
(/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/6 binary64)) (+.f64 (*.f64 (/.f64 #s(literal -1/2 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 -1/36 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64))))))) v)
(* -1 (/ (sqrt -1/6) v))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1/6 binary64))) v)
(* -1 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/6 binary64)) (/.f64 #s(literal -1/36 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64)))))) (-.f64 #s(literal 0 binary64) v))
(* -1 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))
(/.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1/6 binary64)) (/.f64 #s(literal -1/36 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 (/.f64 #s(literal -1/144 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 v (*.f64 v (*.f64 v v))))) (-.f64 #s(literal 0 binary64) v))
(* -1 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))
(/.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64))))) (neg.f64 (+.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (/.f64 #s(literal -1/2 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)

eval135.0ms (1.9%)

Compiler

Compiled 25472 to 2074 computations (91.9% saved)

prune120.0ms (1.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New99731000
Fresh000
Picked224
Done022
Total99971006
Accuracy
100.0%
Counts
1006 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.5%
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))
▶97.3%
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
▶98.0%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
▶99.4%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v #s(literal 10 binary64)))))
✓100.0%
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
✓99.5%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
✓98.8%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Compiler

Compiled 85 to 67 computations (21.2% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(/.f64 (*.f64 v v) #s(literal -4 binary64))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 v #s(literal -5/8 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
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 v (*.f64 v #s(literal 10 binary64)))
✓cost-diff0
(+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v #s(literal 10 binary64))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v #s(literal 10 binary64)))))
Rules
30×*-lowering-*.f32
30×*-lowering-*.f64
20×fma-lowering-fma.f32
20×fma-define
20×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02496
13590
24590
34890
04890
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (sqrt 2) (+ 4 (* v (* v 10))))
(sqrt 2)
2
(+ 4 (* v (* v 10)))
4
(* v (* v 10))
v
(* v 10)
10
(/ (+ 1/4 (* v (* v -5/8))) (pow 2 -1/2))
(+ 1/4 (* v (* v -5/8)))
1/4
(* v (* v -5/8))
v
(* v -5/8)
-5/8
(pow 2 -1/2)
2
-1/2
(/ (+ 1/4 (/ (* v v) -4)) (sqrt 1/2))
(+ 1/4 (/ (* v v) -4))
1/4
(/ (* v v) -4)
(* v v)
v
-4
(sqrt 1/2)
1/2
Outputs
(/ (sqrt 2) (+ 4 (* v (* v 10))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 4 (* v (* v 10)))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))
4
#s(literal 4 binary64)
(* v (* v 10))
(*.f64 #s(literal 10 binary64) (*.f64 v v))
v
(* v 10)
(*.f64 v #s(literal 10 binary64))
10
#s(literal 10 binary64)
(/ (+ 1/4 (* v (* v -5/8))) (pow 2 -1/2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(+ 1/4 (* v (* v -5/8)))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))
1/4
#s(literal 1/4 binary64)
(* v (* v -5/8))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
v
(* v -5/8)
(*.f64 v #s(literal -5/8 binary64))
-5/8
#s(literal -5/8 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) -4)) (sqrt 1/2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ 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))
(* v v)
(*.f64 v v)
v
-4
#s(literal -4 binary64)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize91.0ms (1.3%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))
✓accuracy100.0%
(*.f64 v v)
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy98.5%
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))
✓accuracy100.0%
(*.f64 v #s(literal -5/8 binary64))
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -5/8 binary64)))
✓accuracy98.5%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 v #s(literal 10 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v #s(literal 10 binary64)))))
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal 10 binary64)))
Results
64.0ms256×0valid
Compiler

Compiled 98 to 25 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 9.0ms (28% of total)
ival-div: 7.0ms (21.8% of total)
ival-pow: 7.0ms (21.8% of total)
ival-add: 4.0ms (12.5% of total)
ival-sqrt: 4.0ms (12.5% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
14 → 144
Calls
Call 1
Inputs
#<alt (/ (sqrt 2) (+ 4 (* v (* v 10))))>
#<alt (sqrt 2)>
#<alt (+ 4 (* v (* v 10)))>
#<alt (* v (* v 10))>
#<alt (/ (+ 1/4 (* v (* v -5/8))) (pow 2 -1/2))>
#<alt (+ 1/4 (* v (* v -5/8)))>
#<alt (* v (* v -5/8))>
#<alt (* v -5/8)>
#<alt (/ (+ 1/4 (/ (* v v) -4)) (sqrt 1/2))>
#<alt (+ 1/4 (/ (* v v) -4))>
#<alt (/ (* v v) -4)>
#<alt (* v v)>
#<alt (* v 10)>
#<alt (sqrt 1/2)>
Outputs
#<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) (- (* 25/16 (* (pow v 2) (sqrt 2))) (* 5/8 (sqrt 2)))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -125/32 (* (pow v 2) (sqrt 2))) (* -25/16 (sqrt 2)))) (* 5/8 (sqrt 2)))))>
#<alt (* 1/10 (/ (sqrt 2) (pow v 2)))>
#<alt (/ (+ (* -1/25 (/ (sqrt 2) (pow v 2))) (* 1/10 (sqrt 2))) (pow v 2))>
#<alt (/ (- (+ (* 2/125 (/ (sqrt 2) (pow v 4))) (* 1/10 (sqrt 2))) (* 1/25 (/ (sqrt 2) (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ (* -4/625 (/ (sqrt 2) (pow v 6))) (* 1/10 (sqrt 2))) (+ (* -2/125 (/ (sqrt 2) (pow v 4))) (* 1/25 (/ (sqrt 2) (pow v 2))))) (pow v 2))>
#<alt (* 1/10 (/ (sqrt 2) (pow v 2)))>
#<alt (/ (+ (* -1/25 (/ (sqrt 2) (pow v 2))) (* 1/10 (sqrt 2))) (pow v 2))>
#<alt (/ (- (+ (* 2/125 (/ (sqrt 2) (pow v 4))) (* 1/10 (sqrt 2))) (* 1/25 (/ (sqrt 2) (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ (* -4/625 (/ (sqrt 2) (pow v 6))) (* 1/10 (sqrt 2))) (+ (* -2/125 (/ (sqrt 2) (pow v 4))) (* 1/25 (/ (sqrt 2) (pow v 2))))) (pow v 2))>
#<alt 4>
#<alt (+ 4 (* 10 (pow v 2)))>
#<alt (+ 4 (* 10 (pow v 2)))>
#<alt (+ 4 (* 10 (pow v 2)))>
#<alt (* 10 (pow v 2))>
#<alt (* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))>
#<alt (* 10 (pow v 2))>
#<alt (* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))>
#<alt (* 10 (pow v 2))>
#<alt (* 10 (pow v 2))>
#<alt (* 10 (pow v 2))>
#<alt (* 10 (pow v 2))>
#<alt (* 10 (pow v 2))>
#<alt (* 10 (pow v 2))>
#<alt (* 10 (pow v 2))>
#<alt (* 10 (pow v 2))>
#<alt (* 10 (pow v 2))>
#<alt (* 10 (pow v 2))>
#<alt (* 10 (pow v 2))>
#<alt (* 10 (pow v 2))>
#<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 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 (* -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 1/2))>
#<alt (+ (* -1/4 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))>
#<alt (+ (* -1/4 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))>
#<alt (+ (* -1/4 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))>
#<alt (* -1/4 (/ (pow v 2) (sqrt 1/2)))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))>
#<alt (* -1/4 (/ (pow v 2) (sqrt 1/2)))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/4 (pow v 2)))>
#<alt (+ 1/4 (* -1/4 (pow v 2)))>
#<alt (+ 1/4 (* -1/4 (pow v 2)))>
#<alt (* -1/4 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* -1/4 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<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 (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 (* 10 v)>
#<alt (* 10 v)>
#<alt (* 10 v)>
#<alt (* 10 v)>
#<alt (* 10 v)>
#<alt (* 10 v)>
#<alt (* 10 v)>
#<alt (* 10 v)>
#<alt (* 10 v)>
#<alt (* 10 v)>
#<alt (* 10 v)>
#<alt (* 10 v)>
Calls

36 calls:

TimeVariablePointExpression
3.0ms
v
@0
(/ (+ 1/4 (* v (* v -5/8))) (pow 2 -1/2))
2.0ms
v
@0
(/ (sqrt 2) (+ 4 (* v (* v 10))))
0.0ms
v
@inf
(/ (sqrt 2) (+ 4 (* v (* v 10))))
0.0ms
v
@inf
(/ (+ 1/4 (* v (* v -5/8))) (pow 2 -1/2))
0.0ms
v
@0
(/ (+ 1/4 (/ (* v v) -4)) (sqrt 1/2))

rewrite277.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
4880×*-lowering-*.f32
4880×*-lowering-*.f64
3270×/-lowering-/.f32
3270×/-lowering-/.f64
1466×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02480
111373
283073
0859273
Stop Event
1×iter limit
1×node limit
Counts
14 → 496
Calls
Call 1
Inputs
(/ (sqrt 2) (+ 4 (* v (* v 10))))
(sqrt 2)
(+ 4 (* v (* v 10)))
(* v (* v 10))
(/ (+ 1/4 (* v (* v -5/8))) (pow 2 -1/2))
(+ 1/4 (* v (* v -5/8)))
(* v (* v -5/8))
(* v -5/8)
(/ (+ 1/4 (/ (* v v) -4)) (sqrt 1/2))
(+ 1/4 (/ (* v v) -4))
(/ (* v v) -4)
(* v v)
(* v 10)
(sqrt 1/2)
Outputs
(+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64))))) #s(literal 16 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64))))) (*.f64 (*.f64 v #s(literal 10 binary64)) (*.f64 v (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64))))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64))))) (*.f64 (*.f64 v #s(literal 10 binary64)) (*.f64 v (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64))))) #s(literal 16 binary64)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 100 binary64)))))) #s(literal 4 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 100 binary64)))))) (*.f64 (*.f64 v v) #s(literal -10 binary64))))
(+.f64 (*.f64 #s(literal 16 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64)))))) (*.f64 (*.f64 (*.f64 v #s(literal 10 binary64)) (*.f64 v (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64)))))))
(+.f64 (*.f64 (*.f64 (*.f64 v #s(literal 10 binary64)) (*.f64 v (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64)))))) (*.f64 #s(literal 16 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64)))))))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 100 binary64))))))) (*.f64 (*.f64 (*.f64 v v) #s(literal -10 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 100 binary64))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))))
(/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 4096 binary64) (*.f64 (*.f64 (*.f64 v #s(literal 10 binary64)) (*.f64 v (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64)))) (*.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 100 binary64)))) (*.f64 (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64))))))) (*.f64 (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64)))) (+.f64 #s(literal 256 binary64) (*.f64 (*.f64 (*.f64 v #s(literal 10 binary64)) (*.f64 v (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64)))) (-.f64 (*.f64 (*.f64 v #s(literal 10 binary64)) (*.f64 v (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64)))) #s(literal 16 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 256 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 100 binary64)))) (*.f64 (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64)))))) (*.f64 (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64)))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 v #s(literal 10 binary64)) (*.f64 v (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 100 binary64)))))) (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 100 binary64))))) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64))))) (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 100 binary64))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))))))
(pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))) (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 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64))))) (*.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 v #s(literal 10 binary64)) (*.f64 v (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 v #s(literal 10 binary64)) (*.f64 v (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 100 binary64)))))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 100 binary64)))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 v #s(literal 10 binary64)) (*.f64 v (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64))))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 v #s(literal 10 binary64)) (*.f64 v (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64))))))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 100 binary64)))))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 100 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64))))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 v #s(literal 10 binary64)) (*.f64 v (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64))))))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 100 binary64)))))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1000 binary64)))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 v #s(literal 10 binary64)) (*.f64 v (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal -4 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 100 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (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 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))
(+.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (*.f64 v v) #s(literal -10 binary64))))
(+.f64 (*.f64 #s(literal 10 binary64) (*.f64 v v)) #s(literal 4 binary64))
(+.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v)))) (neg.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 100 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 v v))))))
(+.f64 (neg.f64 (*.f64 (*.f64 v v) #s(literal -10 binary64))) #s(literal 4 binary64))
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(/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -16 binary64))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -16 binary64))) (neg.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 v (/.f64 #s(literal -4 binary64) v)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))))))
(/.f64 (+.f64 #s(literal -1/64 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -64 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))))))
(/.f64 (+.f64 #s(literal -1/64 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -64 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v v) #s(literal 16 binary64))))))
(/.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64))) (+.f64 #s(literal -1/4 binary64) (/.f64 v (/.f64 #s(literal -4 binary64) v))))
(/.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) #s(literal -1/16 binary64)) (+.f64 (/.f64 v (/.f64 #s(literal -4 binary64) v)) #s(literal -1/4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))) (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/262144 binary64) (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -64 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 4096 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/4096 binary64) (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -64 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -64 binary64)) #s(literal 1/64 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4096 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 4096 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -64 binary64))) (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4096 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 4096 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) (+.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 256 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/64 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -64 binary64))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/64 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -64 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)))) (neg.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 v (/.f64 #s(literal -4 binary64) v)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) #s(literal -1/16 binary64))) (neg.f64 (+.f64 (/.f64 v (/.f64 #s(literal -4 binary64) v)) #s(literal -1/4 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))) (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))) (/.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))) (/.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))) (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))))) (*.f64 (/.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))) (/.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))) (/.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))))))
(*.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v v) #s(literal 16 binary64))))))
(*.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -64 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))))
(*.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))))
(*.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -16 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))))
(*.f64 (+.f64 #s(literal -1/64 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64)))))))
(*.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (/.f64 v (/.f64 #s(literal -4 binary64) v)))))
(*.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 v (/.f64 #s(literal -4 binary64) v)) #s(literal -1/4 binary64))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal 1 binary64)) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))
(neg.f64 (/.f64 (*.f64 v v) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 v (/.f64 #s(literal -4 binary64) v))
(/.f64 (*.f64 v v) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -1 binary64))
(*.f64 v (/.f64 v #s(literal -4 binary64)))
(*.f64 v (*.f64 #s(literal -1/4 binary64) v))
(*.f64 v (*.f64 (/.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(*.f64 (/.f64 v (/.f64 #s(literal -4 binary64) v)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 v (/.f64 #s(literal -4 binary64) v)))
(*.f64 #s(literal -1/4 binary64) (*.f64 v v))
(*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(*.f64 (/.f64 v #s(literal -4 binary64)) v)
(*.f64 (/.f64 v #s(literal -4 binary64)) (*.f64 v #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 v #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) v) (-.f64 #s(literal 0 binary64) v))
(*.f64 (*.f64 #s(literal 1 binary64) v) (/.f64 v #s(literal -4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) v) v)
(*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) v)) v)
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(*.f64 v v)
(*.f64 v (*.f64 v #s(literal 1 binary64)))
(*.f64 v (neg.f64 (-.f64 #s(literal 0 binary64) v)))
(*.f64 (*.f64 v v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 #s(literal 0 binary64) v))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(*.f64 (*.f64 #s(literal 1 binary64) v) v)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) v)) v)
(*.f64 v #s(literal 10 binary64))
(*.f64 #s(literal 10 binary64) v)
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))

simplify215.0ms (3%)

Algorithm
1×egg-herbie
Rules
2542×*-lowering-*.f32
2542×*-lowering-*.f64
2258×fma-lowering-fma.f32
2258×fma-lowering-fma.f64
1524×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
093994
1245956
2628952
31544881
44768879
08079879
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* 25/16 (* (pow v 2) (sqrt 2))) (* 5/8 (sqrt 2)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -125/32 (* (pow v 2) (sqrt 2))) (* -25/16 (sqrt 2)))) (* 5/8 (sqrt 2)))))
(* 1/10 (/ (sqrt 2) (pow v 2)))
(/ (+ (* -1/25 (/ (sqrt 2) (pow v 2))) (* 1/10 (sqrt 2))) (pow v 2))
(/ (- (+ (* 2/125 (/ (sqrt 2) (pow v 4))) (* 1/10 (sqrt 2))) (* 1/25 (/ (sqrt 2) (pow v 2)))) (pow v 2))
(/ (- (+ (* -4/625 (/ (sqrt 2) (pow v 6))) (* 1/10 (sqrt 2))) (+ (* -2/125 (/ (sqrt 2) (pow v 4))) (* 1/25 (/ (sqrt 2) (pow v 2))))) (pow v 2))
(* 1/10 (/ (sqrt 2) (pow v 2)))
(/ (+ (* -1/25 (/ (sqrt 2) (pow v 2))) (* 1/10 (sqrt 2))) (pow v 2))
(/ (- (+ (* 2/125 (/ (sqrt 2) (pow v 4))) (* 1/10 (sqrt 2))) (* 1/25 (/ (sqrt 2) (pow v 2)))) (pow v 2))
(/ (- (+ (* -4/625 (/ (sqrt 2) (pow v 6))) (* 1/10 (sqrt 2))) (+ (* -2/125 (/ (sqrt 2) (pow v 4))) (* 1/25 (/ (sqrt 2) (pow v 2))))) (pow v 2))
4
(+ 4 (* 10 (pow v 2)))
(+ 4 (* 10 (pow v 2)))
(+ 4 (* 10 (pow v 2)))
(* 10 (pow v 2))
(* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))
(* 10 (pow v 2))
(* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))
(* 10 (pow v 2))
(* 10 (pow v 2))
(* 10 (pow v 2))
(* 10 (pow v 2))
(* 10 (pow v 2))
(* 10 (pow v 2))
(* 10 (pow v 2))
(* 10 (pow v 2))
(* 10 (pow v 2))
(* 10 (pow v 2))
(* 10 (pow v 2))
(* 10 (pow v 2))
(/ 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)))))
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))
(* -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 1/2))
(+ (* -1/4 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(+ (* -1/4 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(+ (* -1/4 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(* -1/4 (/ (pow v 2) (sqrt 1/2)))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(* -1/4 (/ (pow v 2) (sqrt 1/2)))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
1/4
(+ 1/4 (* -1/4 (pow v 2)))
(+ 1/4 (* -1/4 (pow v 2)))
(+ 1/4 (* -1/4 (pow v 2)))
(* -1/4 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* -1/4 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* -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))
(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)
(* 10 v)
(* 10 v)
(* 10 v)
(* 10 v)
(* 10 v)
(* 10 v)
(* 10 v)
(* 10 v)
(* 10 v)
(* 10 v)
(* 10 v)
(* 10 v)
Outputs
(* 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 #s(literal -5/8 binary64) (*.f64 v v))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* 25/16 (* (pow v 2) (sqrt 2))) (* 5/8 (sqrt 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 25/16 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -125/32 (* (pow v 2) (sqrt 2))) (* -25/16 (sqrt 2)))) (* 5/8 (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) (+.f64 #s(literal 25/16 binary64) (*.f64 (*.f64 v v) #s(literal -125/32 binary64))))))))
(* 1/10 (/ (sqrt 2) (pow v 2)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/10 binary64)) (*.f64 v v))
(/ (+ (* -1/25 (/ (sqrt 2) (pow v 2))) (* 1/10 (sqrt 2))) (pow v 2))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/25 binary64) (*.f64 v v)) #s(literal 1/10 binary64))) (*.f64 v v))
(/ (- (+ (* 2/125 (/ (sqrt 2) (pow v 4))) (* 1/10 (sqrt 2))) (* 1/25 (/ (sqrt 2) (pow v 2)))) (pow v 2))
(/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/10 binary64) (/.f64 #s(literal 2/125 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 (*.f64 #s(literal -1/25 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v)) (*.f64 v v))
(/ (- (+ (* -4/625 (/ (sqrt 2) (pow v 6))) (* 1/10 (sqrt 2))) (+ (* -2/125 (/ (sqrt 2) (pow v 4))) (* 1/25 (/ (sqrt 2) (pow v 2))))) (pow v 2))
(/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/10 binary64) (/.f64 #s(literal 2/125 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -4/625 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal -1/25 binary64) (*.f64 v v))))) (*.f64 v v))
(* 1/10 (/ (sqrt 2) (pow v 2)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/10 binary64)) (*.f64 v v))
(/ (+ (* -1/25 (/ (sqrt 2) (pow v 2))) (* 1/10 (sqrt 2))) (pow v 2))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/25 binary64) (*.f64 v v)) #s(literal 1/10 binary64))) (*.f64 v v))
(/ (- (+ (* 2/125 (/ (sqrt 2) (pow v 4))) (* 1/10 (sqrt 2))) (* 1/25 (/ (sqrt 2) (pow v 2)))) (pow v 2))
(/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/10 binary64) (/.f64 #s(literal 2/125 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 (*.f64 #s(literal -1/25 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v)) (*.f64 v v))
(/ (- (+ (* -4/625 (/ (sqrt 2) (pow v 6))) (* 1/10 (sqrt 2))) (+ (* -2/125 (/ (sqrt 2) (pow v 4))) (* 1/25 (/ (sqrt 2) (pow v 2))))) (pow v 2))
(/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/10 binary64) (/.f64 #s(literal 2/125 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -4/625 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal -1/25 binary64) (*.f64 v v))))) (*.f64 v v))
4
#s(literal 4 binary64)
(+ 4 (* 10 (pow v 2)))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 10 binary64)))
(+ 4 (* 10 (pow v 2)))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 10 binary64)))
(+ 4 (* 10 (pow v 2)))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 10 binary64)))
(* 10 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 10 binary64))
(* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 10 binary64)))
(* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 10 binary64)))
(* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 10 binary64)))
(* 10 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 10 binary64))
(* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 10 binary64)))
(* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 10 binary64)))
(* (pow v 2) (+ 10 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 10 binary64)))
(* 10 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 10 binary64))
(* 10 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 10 binary64))
(* 10 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 10 binary64))
(* 10 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 10 binary64))
(* 10 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 10 binary64))
(* 10 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 10 binary64))
(* 10 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 10 binary64))
(* 10 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 10 binary64))
(* 10 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 10 binary64))
(* 10 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 10 binary64))
(* 10 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 10 binary64))
(* 10 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 10 binary64))
(/ 1/4 (sqrt 1/2))
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -5/8 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(+ (* -5/8 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(+ (* -5/8 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(* -5/8 (/ (pow v 2) (sqrt 1/2)))
(*.f64 v (*.f64 #s(literal -5/8 binary64) (/.f64 v (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(* -5/8 (/ (pow v 2) (sqrt 1/2)))
(*.f64 v (*.f64 #s(literal -5/8 binary64) (/.f64 v (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 5/8 (/ 1 (sqrt 1/2)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -5/8 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(+ 1/4 (* -5/8 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(+ 1/4 (* -5/8 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(/ 1/4 (sqrt 1/2))
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/4 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(+ (* -1/4 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(+ (* -1/4 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(* -1/4 (/ (pow v 2) (sqrt 1/2)))
(/.f64 (*.f64 (*.f64 v v) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(* -1/4 (/ (pow v 2) (sqrt 1/2)))
(/.f64 (*.f64 (*.f64 v v) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/4 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64)))
(+ 1/4 (* -1/4 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64)))
(+ 1/4 (* -1/4 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64)))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64)))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64)))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64)))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64)))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64)))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -1/4 binary64)))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(* -1/4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/4 binary64))
(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)
(* 10 v)
(*.f64 v #s(literal 10 binary64))
(* 10 v)
(*.f64 v #s(literal 10 binary64))
(* 10 v)
(*.f64 v #s(literal 10 binary64))
(* 10 v)
(*.f64 v #s(literal 10 binary64))
(* 10 v)
(*.f64 v #s(literal 10 binary64))
(* 10 v)
(*.f64 v #s(literal 10 binary64))
(* 10 v)
(*.f64 v #s(literal 10 binary64))
(* 10 v)
(*.f64 v #s(literal 10 binary64))
(* 10 v)
(*.f64 v #s(literal 10 binary64))
(* 10 v)
(*.f64 v #s(literal 10 binary64))
(* 10 v)
(*.f64 v #s(literal 10 binary64))
(* 10 v)
(*.f64 v #s(literal 10 binary64))

eval119.0ms (1.6%)

Compiler

Compiled 13768 to 1476 computations (89.3% saved)

prune66.0ms (0.9%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New6391640
Fresh000
Picked123
Done044
Total6407647
Accuracy
100.0%
Counts
647 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.5%
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))
✓98.0%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
✓99.4%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v #s(literal 10 binary64)))))
97.3%
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓100.0%
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
✓99.5%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
✓98.8%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Compiler

Compiled 302 to 133 computations (56% saved)

regimes15.0ms (0.2%)

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

3 calls:

6.0ms
v
4.0ms
(*.f64 v v)
4.0ms
(*.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)

regimes8.0ms (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 #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 v (*.f64 v #s(literal 10 binary64)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))))
(*.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)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
Outputs
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
Calls

2 calls:

4.0ms
v
3.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
100.0%1v
100.0%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes8.0ms (0.1%)

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

2 calls:

5.0ms
v
3.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.5%1v
99.5%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes6.0ms (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 #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 v (*.f64 v #s(literal 10 binary64)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))))
(*.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)))))
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
99.5%1v
99.5%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -1.0b remaining (-120.8%)

Threshold costs -1b (-120.8%)

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

1 calls:

1.0ms
v
Results
AccuracySegmentsBranch
98.8%1v
Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
32×*-commutative_binary64
20×+-commutative_binary64
10×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03265
15765
26865
37765
48365
58665
68765
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v 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 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Outputs
(*.f64 (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 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v 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 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))

soundness1.2s (16.7%)

Rules
5558×*-lowering-*.f32
5558×*-lowering-*.f64
5202×+-lowering-+.f64
5202×+-lowering-+.f32
3934×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030143
1167124
21310120
08597120
01419
13619
28817
324117
474217
5178717
6306817
7546717
8753517
0809817
01821012
1544974
22137881
08419881
01550
17847
257944
3735244
0811644
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
Compiler

Compiled 140 to 89 computations (36.4% saved)

preprocess325.0ms (4.5%)

Remove

(abs v)

Compiler

Compiled 292 to 182 computations (37.7% saved)

end0.0ms (0%)

Profiling

Loading profile data...