Falkner and Boettcher, Appendix B, 2

Time bar (total: 7.4s)

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 (37.6% of total)
ival-sqrt: 1.0ms (37.6% 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 (14.6%)

Results
807.0ms8256×0valid
1.0ms10×0invalid
Precisions
Click to see histograms. Total time spent on operations: 601.0ms
ival-mult: 275.0ms (45.7% of total)
ival-sqrt: 142.0ms (23.6% of total)
ival-sub: 93.0ms (15.5% of total)
ival-div: 67.0ms (11.1% of total)
const: 22.0ms (3.7% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess233.0ms (3.1%)

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)

explain153.0ms (2.1%)

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
69.0ms512×0valid
Compiler

Compiled 166 to 44 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 14.0ms (39.6% of total)
ival-sqrt: 11.0ms (31.1% of total)
ival-sub: 5.0ms (14.2% of total)
ival-div: 4.0ms (11.3% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 20 to 15 computations (25% saved)

prune18.0ms (0.2%)

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

Compiled 20 to 14 computations (30% saved)

simplify173.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
✓cost-diff0
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
✓cost-diff0
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Rules
2030×fma-lowering-fma.f32
2030×fma-lowering-fma.f64
1914×*-lowering-*.f32
1914×*-lowering-*.f64
1516×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01471
13671
28865
324165
474265
5178765
6306865
7546765
8753565
0809865
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
(/ (sqrt 2) 4)
(sqrt 2)
2
4
(sqrt (- 1 (* 3 (* v v))))
(- 1 (* 3 (* v v)))
1
(* 3 (* v v))
3
(* v v)
v
(- 1 (* v v))
Outputs
(* (* (/ (sqrt 2) 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)))))
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
(*.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)))))
(/ (sqrt 2) 4)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
4
#s(literal 4 binary64)
(sqrt (- 1 (* 3 (* v v))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
(- 1 (* 3 (* v v)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
1
#s(literal 1 binary64)
(* 3 (* v v))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
3
#s(literal 3 binary64)
(* v v)
(*.f64 v v)
v
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize56.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy100.0%
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
✓accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 v v))
Results
40.0ms256×0valid
Compiler

Compiled 73 to 15 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (42.2% of total)
ival-sqrt: 4.0ms (24.1% of total)
ival-sub: 3.0ms (18.1% of total)
ival-div: 2.0ms (12.1% of total)
const: 1.0ms (6% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts
5 → 36
Calls
Call 1
Inputs
#<alt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))>
#<alt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))>
#<alt (/ (sqrt 2) 4)>
#<alt (sqrt 2)>
#<alt (* 3 (* v v))>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))>
#<alt (* 1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))>
#<alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
Calls

9 calls:

TimeVariablePointExpression
7.0ms
v
@0
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
1.0ms
v
@inf
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
1.0ms
v
@inf
(* 3 (* v v))
0.0ms
v
@inf
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.0ms
v
@0
(* 3 (* v v))

rewrite359.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
3004×*-lowering-*.f32
3004×*-lowering-*.f64
1870×/-lowering-/.f32
1870×/-lowering-/.f64
1754×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01443
17141
248838
3540938
0835438
Stop Event
1×iter limit
1×node limit
Counts
5 → 239
Calls
Call 1
Inputs
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
(/ (sqrt 2) 4)
(sqrt 2)
(* 3 (* v v))
Outputs
(+.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)))
(-.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)) (*.f64 (*.f64 v v) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64))))
(-.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)) (*.f64 v v)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(neg.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v v))))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))))
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(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 1/4 binary64))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64)))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -4 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64)))
(*.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (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))))
(-.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))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #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 #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)

simplify223.0ms (3%)

Algorithm
1×egg-herbie
Rules
4654×*-lowering-*.f32
4654×*-lowering-*.f64
2656×+-lowering-+.f64
2656×+-lowering-+.f32
960×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0133747
1446721
21926682
35644679
08277679
Stop Event
1×iter limit
1×node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 v v) #s(literal 3/8 binary64)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(+.f64 (*.f64 #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 -5/8 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v v) #s(literal -9/16 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 v v))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(*.f64 (*.f64 v v) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/4 binary64) v)) #s(literal 1 binary64))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/4 binary64) v)) #s(literal 1 binary64)) (*.f64 v (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 11/24 binary64) (*.f64 v v))))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 11/24 binary64) (*.f64 v v))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v (*.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(*.f64 v (*.f64 (*.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)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 11/24 binary64) (*.f64 v v)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 11/24 binary64) (*.f64 v v))))))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 v v) #s(literal -9/32 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) (+.f64 #s(literal -9/32 binary64) (*.f64 (*.f64 v v) #s(literal -27/64 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) v)) (sqrt.f64 #s(literal -3 binary64))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) v)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 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 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 1/96 binary64) (sqrt.f64 #s(literal -3 binary64)))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(+.f64 (*.f64 v (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 1/96 binary64) (sqrt.f64 #s(literal -3 binary64)))) (+.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)) #s(literal 1/64 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64))))))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) v)) (sqrt.f64 #s(literal -3 binary64))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) v)) (sqrt.f64 #s(literal -3 binary64))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) 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 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 1/96 binary64) (sqrt.f64 #s(literal -3 binary64)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 1/96 binary64) (sqrt.f64 #s(literal -3 binary64)))) (+.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)) #s(literal 1/64 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (sqrt.f64 #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)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))

eval70.0ms (1%)

Compiler

Compiled 7893 to 862 computations (89.1% saved)

prune35.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2696275
Fresh000
Picked101
Done000
Total2706276
Accuracy
100.0%
Counts
276 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
▶100.0%
(/.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
▶99.5%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶98.7%
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶98.6%
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
Compiler

Compiled 204 to 140 computations (31.4% saved)

simplify169.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
✓cost-diff128
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
✓cost-diff128
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64))
✓cost-diff256
(/.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64))))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 v v))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
✓cost-diff128
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
✓cost-diff128
(/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
✓cost-diff128
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
Rules
2130×sum3-define
2052×*-lowering-*.f32
2052×*-lowering-*.f64
1996×fnmadd-define
1184×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025243
170222
2194205
3569205
41959205
54552205
08218205
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1 (* v v)) (/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))
(- 1 (* v v))
1
(* v v)
v
(/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))
4
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(* 2 (+ 1 (* (* v v) -3)))
2
(+ 1 (* (* v v) -3))
(* (* v v) -3)
-3
(* 1/4 (sqrt 2))
1/4
(sqrt 2)
2
(* (* 1/4 (sqrt 2)) (- 1 (* v v)))
(* 1/4 (sqrt 2))
1/4
(sqrt 2)
2
(- 1 (* v v))
1
(* v v)
v
(* (* (sqrt 2) (+ 1/4 (* (* v v) -3/8))) (- 1 (* v v)))
(* (sqrt 2) (+ 1/4 (* (* v v) -3/8)))
(sqrt 2)
2
(+ 1/4 (* (* v v) -3/8))
1/4
(* (* v v) -3/8)
(* v v)
v
-3/8
(- 1 (* v v))
1
(/ (/ (sqrt (* 2 (+ 1 (* (* v v) -3)))) 4) (/ 1 (- 1 (* v v))))
(/ (sqrt (* 2 (+ 1 (* (* v v) -3)))) 4)
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(* 2 (+ 1 (* (* v v) -3)))
2
(+ 1 (* (* v v) -3))
1
(* (* v v) -3)
(* v v)
v
-3
4
(/ 1 (- 1 (* v v)))
(- 1 (* v v))
Outputs
(/ (- 1 (* v v)) (/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)
(* v v)
(*.f64 v v)
v
(/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
4
#s(literal 4 binary64)
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))
(* 2 (+ 1 (* (* v v) -3)))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
2
#s(literal 2 binary64)
(+ 1 (* (* v v) -3))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
(* (* v v) -3)
(*.f64 (*.f64 v v) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
1/4
#s(literal 1/4 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (* 1/4 (sqrt 2)) (- 1 (* v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
1/4
#s(literal 1/4 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)
(* v v)
(*.f64 v v)
v
(* (* (sqrt 2) (+ 1/4 (* (* v v) -3/8))) (- 1 (* v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -3/8 binary64))))))
(* (sqrt 2) (+ 1/4 (* (* v v) -3/8)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -3/8 binary64)))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1/4 (* (* v v) -3/8))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -3/8 binary64))))
1/4
#s(literal 1/4 binary64)
(* (* v v) -3/8)
(*.f64 v (*.f64 v #s(literal -3/8 binary64)))
(* v v)
(*.f64 v v)
v
-3/8
#s(literal -3/8 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)
(/ (/ (sqrt (* 2 (+ 1 (* (* v v) -3)))) 4) (/ 1 (- 1 (* v v))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ (sqrt (* 2 (+ 1 (* (* v v) -3)))) 4)
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) #s(literal 4 binary64))
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))
(* 2 (+ 1 (* (* v v) -3)))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
2
#s(literal 2 binary64)
(+ 1 (* (* v v) -3))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
1
#s(literal 1 binary64)
(* (* v v) -3)
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* v v)
(*.f64 v v)
v
-3
#s(literal -3 binary64)
4
#s(literal 4 binary64)
(/ 1 (- 1 (* v v)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize137.0ms (1.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
✓accuracy100.0%
(/.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -3 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
✓accuracy100.0%
(*.f64 v v)
✓accuracy100.0%
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy100.0%
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -3 binary64))
✓accuracy98.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
✓accuracy98.5%
(/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
Results
79.0ms256×0valid
Compiler

Compiled 248 to 26 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 15.0ms (46.1% of total)
ival-div: 8.0ms (24.6% of total)
ival-sqrt: 4.0ms (12.3% of total)
ival-add: 3.0ms (9.2% of total)
ival-sub: 2.0ms (6.1% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts
16 → 168
Calls
Call 1
Inputs
#<alt (/ (- 1 (* v v)) (/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))>
#<alt (/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))>
#<alt (sqrt (* 2 (+ 1 (* (* v v) -3))))>
#<alt (* 2 (+ 1 (* (* v v) -3)))>
#<alt (* 1/4 (sqrt 2))>
#<alt (sqrt 2)>
#<alt (* (* 1/4 (sqrt 2)) (- 1 (* v v)))>
#<alt (- 1 (* v v))>
#<alt (* (* (sqrt 2) (+ 1/4 (* (* v v) -3/8))) (- 1 (* v v)))>
#<alt (* (sqrt 2) (+ 1/4 (* (* v v) -3/8)))>
#<alt (+ 1/4 (* (* v v) -3/8))>
#<alt (/ (/ (sqrt (* 2 (+ 1 (* (* v v) -3)))) 4) (/ 1 (- 1 (* v v))))>
#<alt (/ (sqrt (* 2 (+ 1 (* (* v v) -3)))) 4)>
#<alt (* (* v v) -3)>
#<alt (* v v)>
#<alt (* (* v v) -3/8)>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))>
#<alt (/ 4 (sqrt 2))>
#<alt (+ (* 6 (/ (pow v 2) (sqrt 2))) (* 4 (/ 1 (sqrt 2))))>
#<alt (+ (* (pow v 2) (+ (* 27/2 (/ (pow v 2) (sqrt 2))) (* 6 (/ 1 (sqrt 2))))) (* 4 (/ 1 (sqrt 2))))>
#<alt (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 135/4 (/ (pow v 2) (sqrt 2))) (* 27/2 (/ 1 (sqrt 2))))) (* 6 (/ 1 (sqrt 2))))) (* 4 (/ 1 (sqrt 2))))>
#<alt (* 4 (/ (sqrt -1/3) (* v (sqrt 2))))>
#<alt (/ (- (* 4 (/ (sqrt -1/3) (sqrt 2))) (* 2/9 (/ 1 (* (pow v 2) (* (sqrt -1/3) (sqrt 2)))))) v)>
#<alt (/ (- (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2)))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v)>
#<alt (/ (- (+ (* -2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* (pow v 6) (* (sqrt -1/3) (sqrt 2))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2))))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v)>
#<alt (* -4 (/ (sqrt -1/3) (* v (sqrt 2))))>
#<alt (* -1 (/ (- (* 4 (/ (sqrt -1/3) (sqrt 2))) (* 2/9 (/ 1 (* (pow v 2) (* (sqrt -1/3) (sqrt 2)))))) v))>
#<alt (* -1 (/ (- (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2)))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v))>
#<alt (* -1 (/ (- (+ (* -2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* (pow v 6) (* (sqrt -1/3) (sqrt 2))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2))))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))>
#<alt (* v (* (sqrt -3) (sqrt 2)))>
#<alt (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))>
#<alt (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))>
#<alt (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))>
#<alt 2>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -1/4 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -1/4 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))>
#<alt (* 3/8 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))>
#<alt (* 3/8 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -3/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -3/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -3/8 (pow v 2)))>
#<alt (+ 1/4 (* -3/8 (pow v 2)))>
#<alt (+ 1/4 (* -3/8 (pow v 2)))>
#<alt (* -3/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* -3/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))>
#<alt (* 1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))>
#<alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<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 (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
#<alt (* -3/8 (pow v 2))>
Calls

42 calls:

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

rewrite384.0ms (5.2%)

Algorithm
1×batch-egg-rewrite
Rules
5036×*-lowering-*.f32
5036×*-lowering-*.f64
3006×/-lowering-/.f32
3006×/-lowering-/.f64
1828×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025146
1144131
21120120
08797120
Stop Event
1×iter limit
1×node limit
Counts
16 → 980
Calls
Call 1
Inputs
(/ (- 1 (* v v)) (/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3))))))
(/ 4 (sqrt (* 2 (+ 1 (* (* v v) -3)))))
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(* 2 (+ 1 (* (* v v) -3)))
(* 1/4 (sqrt 2))
(sqrt 2)
(* (* 1/4 (sqrt 2)) (- 1 (* v v)))
(- 1 (* v v))
(* (* (sqrt 2) (+ 1/4 (* (* v v) -3/8))) (- 1 (* v v)))
(* (sqrt 2) (+ 1/4 (* (* v v) -3/8)))
(+ 1/4 (* (* v v) -3/8))
(/ (/ (sqrt (* 2 (+ 1 (* (* v v) -3)))) 4) (/ 1 (- 1 (* v v))))
(/ (sqrt (* 2 (+ 1 (* (* v v) -3)))) 4)
(* (* v v) -3)
(* v v)
(* (* v v) -3/8)
Outputs
(+.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 v v) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 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 #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 v v)))
(+.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 #s(literal 1 binary64) (/.f64 (*.f64 v v) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 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 #s(literal 1 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 v v))))
(+.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 #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 v v)) #s(literal 1 binary64)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (fma.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 v v) (*.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 v v))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (*.f64 v v) #s(literal 4 binary64)) (/.f64 (*.f64 v v) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (neg.f64 (/.f64 v (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) (/.f64 v #s(literal 4 binary64)) (/.f64 (*.f64 v v) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
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(+.f64 (*.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 v v)) (/.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))))
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(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) #s(literal 1/4 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (sqrt.f64 #s(literal 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 1/4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -4 binary64)) #s(literal -1 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 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))))
(neg.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 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 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)))
(/.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))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal -1/4 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))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal -4 binary64))
(/.f64 #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 -1/2 binary64))))
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(pow.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))) #s(literal 1 binary64))
(*.f64 #s(literal 1 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))))
(*.f64 (sqrt.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) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
(*.f64 (/.f64 #s(literal 1/4 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 -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 #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))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.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 0 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 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)))
(*.f64 (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)) #s(literal 1/4 binary64))
(*.f64 (pow.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)) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (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) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (sqrt.f64 #s(literal 2 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 1/4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
(*.f64 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 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v #s(literal -3 binary64)) v)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal -3 binary64))) v)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (*.f64 v v) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal -1 binary64))
(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 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v v)
(*.f64 v (neg.f64 (-.f64 #s(literal 0 binary64) v)))
(*.f64 (*.f64 v v) #s(literal 1 binary64))
(*.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 (neg.f64 (-.f64 #s(literal 0 binary64) v)) v)
(*.f64 v (*.f64 v #s(literal -3/8 binary64)))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (*.f64 v v))
(*.f64 (*.f64 v (*.f64 v #s(literal -3/8 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 v #s(literal -3/8 binary64)) v)

simplify281.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
5006×+-lowering-+.f64
5006×+-lowering-+.f32
4966×*-lowering-*.f32
4966×*-lowering-*.f64
1258×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02702621
19082441
236022316
083482316
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(/ 4 (sqrt 2))
(+ (* 6 (/ (pow v 2) (sqrt 2))) (* 4 (/ 1 (sqrt 2))))
(+ (* (pow v 2) (+ (* 27/2 (/ (pow v 2) (sqrt 2))) (* 6 (/ 1 (sqrt 2))))) (* 4 (/ 1 (sqrt 2))))
(+ (* (pow v 2) (+ (* (pow v 2) (+ (* 135/4 (/ (pow v 2) (sqrt 2))) (* 27/2 (/ 1 (sqrt 2))))) (* 6 (/ 1 (sqrt 2))))) (* 4 (/ 1 (sqrt 2))))
(* 4 (/ (sqrt -1/3) (* v (sqrt 2))))
(/ (- (* 4 (/ (sqrt -1/3) (sqrt 2))) (* 2/9 (/ 1 (* (pow v 2) (* (sqrt -1/3) (sqrt 2)))))) v)
(/ (- (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2)))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v)
(/ (- (+ (* -2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* (pow v 6) (* (sqrt -1/3) (sqrt 2))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2))))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v)
(* -4 (/ (sqrt -1/3) (* v (sqrt 2))))
(* -1 (/ (- (* 4 (/ (sqrt -1/3) (sqrt 2))) (* 2/9 (/ 1 (* (pow v 2) (* (sqrt -1/3) (sqrt 2)))))) v))
(* -1 (/ (- (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2)))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v))
(* -1 (/ (- (+ (* -2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* (pow v 6) (* (sqrt -1/3) (sqrt 2))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2))))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v))
(sqrt 2)
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(* v (* (sqrt -3) (sqrt 2)))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* 1/4 (sqrt 2))
(+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -1/4 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -1/4 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
1
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(* 3/8 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(* 3/8 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -3/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -3/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
1/4
(+ 1/4 (* -3/8 (pow v 2)))
(+ 1/4 (* -3/8 (pow v 2)))
(+ 1/4 (* -3/8 (pow v 2)))
(* -3/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* -3/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(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)
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
(* -3/8 (pow v 2))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 v v) #s(literal 3/8 binary64)))) (*.f64 v v))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(+.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 v v)) #s(literal 3/8 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 v (*.f64 (*.f64 v v) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v)))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(/ 4 (sqrt 2))
(/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 6 (/ (pow v 2) (sqrt 2))) (* 4 (/ 1 (sqrt 2))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))
(+ (* (pow v 2) (+ (* 27/2 (/ (pow v 2) (sqrt 2))) (* 6 (/ 1 (sqrt 2))))) (* 4 (/ 1 (sqrt 2))))
(+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 v v) #s(literal 27/2 binary64)) #s(literal 6 binary64))))
(+ (* (pow v 2) (+ (* (pow v 2) (+ (* 135/4 (/ (pow v 2) (sqrt 2))) (* 27/2 (/ 1 (sqrt 2))))) (* 6 (/ 1 (sqrt 2))))) (* 4 (/ 1 (sqrt 2))))
(+.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 27/2 binary64) (*.f64 (*.f64 v v) #s(literal 135/4 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))
(* 4 (/ (sqrt -1/3) (* v (sqrt 2))))
(/.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v))
(/ (- (* 4 (/ (sqrt -1/3) (sqrt 2))) (* 2/9 (/ 1 (* (pow v 2) (* (sqrt -1/3) (sqrt 2)))))) v)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -2/9 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))) v)
(/ (- (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2)))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v)
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -2/9 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))) (/.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -1/3 binary64)))))) v)
(/ (- (+ (* -2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* (pow v 6) (* (sqrt -1/3) (sqrt 2))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2))))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 5/648 binary64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))))) v)
(* -4 (/ (sqrt -1/3) (* v (sqrt 2))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v))
(* -1 (/ (- (* 4 (/ (sqrt -1/3) (sqrt 2))) (* 2/9 (/ 1 (* (pow v 2) (* (sqrt -1/3) (sqrt 2)))))) v))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -2/9 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))) v))
(* -1 (/ (- (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2)))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v))
(/.f64 (-.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -1/3 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -2/9 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))))) v)
(* -1 (/ (- (+ (* -2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* (pow v 6) (* (sqrt -1/3) (sqrt 2))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* (pow v 4) (* (sqrt -1/3) (sqrt 2))))) (* 4 (/ (sqrt -1/3) (sqrt 2))))) (/ 2/9 (* (pow v 2) (* (sqrt -1/3) (sqrt 2))))) v))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 5/648 binary64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))))) (-.f64 #s(literal 0 binary64) v))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -9/8 binary64)))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))) (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* v (* (sqrt -3) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(*.f64 v (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(*.f64 v (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
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1
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1/4
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(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 v (*.f64 (*.f64 v v) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v)))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 v v) #s(literal -9/32 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) (+.f64 (*.f64 (*.f64 v v) #s(literal -27/64 binary64)) #s(literal -9/32 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) v))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(*.f64 v (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(*.f64 v (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/96 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(*.f64 v (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) (+.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)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/96 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v #s(literal -1/4 binary64)))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(*.f64 v (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (neg.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/96 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) (+.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)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/96 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (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 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(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)
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(* -3/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))

eval221.0ms (3%)

Compiler

Compiled 47912 to 3030 computations (93.7% saved)

prune135.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New166941673
Fresh101
Picked415
Done000
Total167451679
Accuracy
100.0%
Counts
1679 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))
▶100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))
▶100.0%
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶99.6%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓98.6%
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
Compiler

Compiled 77 to 54 computations (29.9% saved)

simplify208.0ms (2.8%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 v v))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 v (*.f64 v (*.f64 v v)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))
✓cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓cost-diff640
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))
✓cost-diff0
(*.f64 (*.f64 v v) #s(literal -6 binary64))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
✓cost-diff0
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
✓cost-diff0
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓cost-diff0
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
Rules
2838×*-lowering-*.f32
2838×*-lowering-*.f64
2016×sum3-define
1890×fma-define
1840×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029222
178212
2186206
3383206
41038206
52056206
65578206
08027206
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (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)
v
-5/8
(/ (sqrt (+ 2 (* (* v v) -6))) (/ 4 (- 1 (* v v))))
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
2
(* (* v v) -6)
(* v v)
v
-6
(/ 4 (- 1 (* v v)))
4
(- 1 (* v v))
1
(/ (* (- 1 (* v (* v (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (* (+ 1 (* v v)) 4))
(* (- 1 (* v (* v (* v v)))) (sqrt (+ 2 (* (* v v) -6))))
(- 1 (* v (* v (* v v))))
1
(* v (* v (* v v)))
v
(* v (* v v))
(* v v)
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
2
(* (* v v) -6)
-6
(* (+ 1 (* v v)) 4)
(+ 1 (* v v))
4
(/ (- 1 (* v v)) (/ 4 (sqrt (+ (* (* v v) -6) 2))))
(- 1 (* v v))
1
(* v v)
v
(/ 4 (sqrt (+ (* (* v v) -6) 2)))
4
(sqrt (+ (* (* v v) -6) 2))
(+ (* (* v v) -6) 2)
(* (* v v) -6)
-6
2
Outputs
(* (sqrt 2) (+ 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)
(+ 1/4 (* (* 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)
(*.f64 v v)
v
-5/8
#s(literal -5/8 binary64)
(/ (sqrt (+ 2 (* (* v v) -6))) (/ 4 (- 1 (* v v))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(sqrt (+ 2 (* (* v v) -6)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(+ 2 (* (* v v) -6))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
2
#s(literal 2 binary64)
(* (* v v) -6)
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* v v)
(*.f64 v v)
v
-6
#s(literal -6 binary64)
(/ 4 (- 1 (* v v)))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
4
#s(literal 4 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)
(/ (* (- 1 (* v (* v (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (* (+ 1 (* v v)) 4))
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (- 1 (* v (* v (* v v)))) (sqrt (+ 2 (* (* v v) -6))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))
(- 1 (* v (* v (* v v))))
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))
1
#s(literal 1 binary64)
(* v (* v (* v v)))
(*.f64 v (*.f64 v (*.f64 v v)))
v
(* v (* v v))
(*.f64 v (*.f64 v v))
(* v v)
(*.f64 v v)
(sqrt (+ 2 (* (* v v) -6)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(+ 2 (* (* v v) -6))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
2
#s(literal 2 binary64)
(* (* v v) -6)
(*.f64 (*.f64 v v) #s(literal -6 binary64))
-6
#s(literal -6 binary64)
(* (+ 1 (* v v)) 4)
(+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))
(+ 1 (* v v))
(+.f64 (*.f64 v v) #s(literal 1 binary64))
4
#s(literal 4 binary64)
(/ (- 1 (* v v)) (/ 4 (sqrt (+ (* (* v v) -6) 2))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)
(* v v)
(*.f64 v v)
v
(/ 4 (sqrt (+ (* (* v v) -6) 2)))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
4
#s(literal 4 binary64)
(sqrt (+ (* (* v v) -6) 2))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(+ (* (* v v) -6) 2)
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
(* (* v v) -6)
(*.f64 (*.f64 v v) #s(literal -6 binary64))
-6
#s(literal -6 binary64)
2
#s(literal 2 binary64)

localize148.0ms (2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
✓accuracy98.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))
✓accuracy98.5%
(/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))
✓accuracy99.9%
(*.f64 v (*.f64 v (*.f64 v v)))
✓accuracy99.9%
(*.f64 v (*.f64 v v))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
✓accuracy100.0%
(*.f64 v v)
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
✓accuracy100.0%
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
✓accuracy100.0%
(*.f64 v v)
✓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) #s(literal -5/8 binary64))))
✓accuracy99.9%
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
Results
98.0ms256×0valid
Compiler

Compiled 253 to 30 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 14.0ms (36% of total)
ival-div: 8.0ms (20.6% of total)
ival-sqrt: 7.0ms (18% of total)
ival-add: 5.0ms (12.9% of total)
ival-sub: 3.0ms (7.7% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts
18 → 204
Calls
Call 1
Inputs
#<alt (* (sqrt 2) (+ 1/4 (* (* v v) -5/8)))>
#<alt (sqrt 2)>
#<alt (+ 1/4 (* (* v v) -5/8))>
#<alt (* (* v v) -5/8)>
#<alt (/ (sqrt (+ 2 (* (* v v) -6))) (/ 4 (- 1 (* v v))))>
#<alt (sqrt (+ 2 (* (* v v) -6)))>
#<alt (+ 2 (* (* v v) -6))>
#<alt (* (* v v) -6)>
#<alt (/ (* (- 1 (* v (* v (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (* (+ 1 (* v v)) 4))>
#<alt (* (- 1 (* v (* v (* v v)))) (sqrt (+ 2 (* (* v v) -6))))>
#<alt (- 1 (* v (* v (* v v))))>
#<alt (* v (* v (* v v)))>
#<alt (/ (- 1 (* v v)) (/ 4 (sqrt (+ (* (* v v) -6) 2))))>
#<alt (- 1 (* v v))>
#<alt (* v v)>
#<alt (/ 4 (sqrt (+ (* (* v v) -6) 2)))>
#<alt (* v (* v v))>
#<alt (sqrt (+ (* (* v v) -6) 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 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 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -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 (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -1 (sqrt 2)) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* -1 (* (pow v 5) (sqrt -6)))>
#<alt (* (pow v 5) (- (* -1 (sqrt -6)) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 4)))) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ 1 (* (pow v 6) (sqrt -6))) (/ (sqrt -6) (pow v 4))))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* (pow v 5) (sqrt -6))>
#<alt (* -1 (* (pow v 5) (- (* -1 (sqrt -6)) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 4)))) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ 1 (* (pow v 6) (sqrt -6))) (/ (sqrt -6) (pow v 4))))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 4)))>
#<alt (+ 1 (* -1 (pow v 4)))>
#<alt (+ 1 (* -1 (pow v 4)))>
#<alt (* -1 (pow v 4))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* -1 (pow v 4))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (* 4 (sqrt 1/2))>
#<alt (+ (* 3 (/ (pow v 2) (sqrt 1/2))) (* 4 (sqrt 1/2)))>
#<alt (+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3 (/ 1 (sqrt 1/2))))))>
#<alt (+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3 (/ 1 (sqrt 1/2))))))>
#<alt (* 4 (/ (sqrt -1/6) v))>
#<alt (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)>
#<alt (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)>
#<alt (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)>
#<alt (* -4 (/ (sqrt -1/6) v))>
#<alt (* -1 (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))>
#<alt (* -1 (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))>
#<alt (* -1 (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<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)))))))>
Calls

51 calls:

TimeVariablePointExpression
4.0ms
v
@0
(* (- 1 (* v (* v (* v v)))) (sqrt (+ 2 (* (* v v) -6))))
1.0ms
v
@0
(/ (sqrt (+ 2 (* (* v v) -6))) (/ 4 (- 1 (* v v))))
1.0ms
v
@inf
(/ (sqrt (+ 2 (* (* v v) -6))) (/ 4 (- 1 (* v v))))
1.0ms
v
@inf
(/ 4 (sqrt (+ (* (* v v) -6) 2)))
1.0ms
v
@0
(/ 4 (sqrt (+ (* (* v v) -6) 2)))

rewrite398.0ms (5.4%)

Algorithm
1×batch-egg-rewrite
Rules
3874×/-lowering-/.f32
3874×/-lowering-/.f64
3176×*-lowering-*.f32
3176×*-lowering-*.f64
1642×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029141
1182133
21367129
08337129
Stop Event
1×iter limit
1×node limit
Counts
18 → 1140
Calls
Call 1
Inputs
(* (sqrt 2) (+ 1/4 (* (* v v) -5/8)))
(sqrt 2)
(+ 1/4 (* (* v v) -5/8))
(* (* v v) -5/8)
(/ (sqrt (+ 2 (* (* v v) -6))) (/ 4 (- 1 (* v v))))
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
(* (* v v) -6)
(/ (* (- 1 (* v (* v (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) (* (+ 1 (* v v)) 4))
(* (- 1 (* v (* v (* v v)))) (sqrt (+ 2 (* (* v v) -6))))
(- 1 (* v (* v (* v v))))
(* v (* v (* v v)))
(/ (- 1 (* v v)) (/ 4 (sqrt (+ (* (* v v) -6) 2))))
(- 1 (* v v))
(* v v)
(/ 4 (sqrt (+ (* (* v v) -6) 2)))
(* v (* v v))
(sqrt (+ (* (* v v) -6) 2))
Outputs
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(fma.f64 v (*.f64 (*.f64 v #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 v v) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 v #s(literal -5/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))) (-.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal -1/4 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125/512 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 5/8 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25/64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal -1/4 binary64)))) (*.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125/512 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 5/8 binary64) (*.f64 v v))) (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25/64 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125/512 binary64))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25/64 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 5/8 binary64) (*.f64 v v))))
(/.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125/512 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25/64 binary64))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 5/8 binary64) (*.f64 v v))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125/512 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25/64 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 5/8 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125/512 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25/64 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 5/8 binary64) (*.f64 v v)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125/512 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal -1/4 binary64))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25/64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 5/8 binary64) (*.f64 v v)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125/512 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal -1/4 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25/64 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 5/8 binary64) (*.f64 v v)))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
(+.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))
(+.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 5/8 binary64) (*.f64 v v)))) (neg.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25/64 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 5/8 binary64) (*.f64 v v))))))
(-.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 5/8 binary64) (*.f64 v v)))) (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25/64 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 5/8 binary64) (*.f64 v v)))))
(-.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25/64 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal -1/4 binary64))))
(fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
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(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(neg.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) #s(literal -4 binary64))))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(/.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) #s(literal -4 binary64)))
(pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 3/2 binary64)))
(pow.f64 v #s(literal 3 binary64))
(pow.f64 (*.f64 v v) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 v #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 3 binary64))
(*.f64 v (*.f64 v v))
(*.f64 (*.f64 v v) v)
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))
(*.f64 (*.f64 v (*.f64 v v)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 v #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 v (*.f64 v v)))
(*.f64 (pow.f64 (*.f64 v v) #s(literal 3/4 binary64)) (pow.f64 (*.f64 v v) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))) (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))) #s(literal 8 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))) #s(literal 8 binary64))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))) #s(literal 8 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))) #s(literal 8 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))) #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))) #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))) #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))) #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -6 binary64))) #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 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 v (*.f64 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 v (*.f64 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 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal 1/4 binary64)))

simplify301.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
4948×*-lowering-*.f32
4948×*-lowering-*.f64
4086×+-lowering-+.f64
4086×+-lowering-+.f32
1938×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02602699
18142399
227942354
083702354
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
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)))))
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))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
(sqrt 2)
(+ (sqrt 2) (* -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))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -1 (sqrt 2)) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* -1 (* (pow v 5) (sqrt -6)))
(* (pow v 5) (- (* -1 (sqrt -6)) (/ 1 (* (pow v 2) (sqrt -6)))))
(* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 4)))) (/ 1 (* (pow v 2) (sqrt -6)))))
(* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ 1 (* (pow v 6) (sqrt -6))) (/ (sqrt -6) (pow v 4))))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6))))))
(* (pow v 5) (sqrt -6))
(* -1 (* (pow v 5) (- (* -1 (sqrt -6)) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 4)))) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ 1 (* (pow v 6) (sqrt -6))) (/ (sqrt -6) (pow v 4))))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6)))))))
1
(+ 1 (* -1 (pow v 4)))
(+ 1 (* -1 (pow v 4)))
(+ 1 (* -1 (pow v 4)))
(* -1 (pow v 4))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* -1 (pow v 4))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
1
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 4 (sqrt 1/2))
(+ (* 3 (/ (pow v 2) (sqrt 1/2))) (* 4 (sqrt 1/2)))
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3 (/ 1 (sqrt 1/2))))))
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3 (/ 1 (sqrt 1/2))))))
(* 4 (/ (sqrt -1/6) v))
(/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)
(/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)
(/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)
(* -4 (/ (sqrt -1/6) v))
(* -1 (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))
(* -1 (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))
(* -1 (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(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)))))))
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 v (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 v (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
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))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 v v))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (+.f64 (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 v v))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(*.f64 (*.f64 v v) (*.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))) #s(literal -1/4 binary64)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 v v))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(*.f64 v (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v (*.f64 v v)) v)))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(*.f64 v (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v (*.f64 v v)) v)))) (*.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))) (sqrt.f64 #s(literal -6 binary64)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
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(sqrt 2)
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(* -1 (* v (sqrt -6)))
(-.f64 #s(literal 0 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(*.f64 v (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v (*.f64 v v)) v)))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(*.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v (*.f64 v v)) v)))) (-.f64 #s(literal 0 binary64) v))

eval243.0ms (3.3%)

Compiler

Compiled 59660 to 2879 computations (95.2% saved)

prune114.0ms (1.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New174011741
Fresh000
Picked044
Done011
Total174061746
Accuracy
100.0%
Counts
1746 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))
✓100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))
✓100.0%
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶47.1%
(*.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)))))
✓99.6%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓98.6%
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
Compiler

Compiled 92 to 64 computations (30.4% saved)

simplify329.0ms (4.4%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓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
5032×*-lowering-*.f32
5032×*-lowering-*.f64
2736×cube-prod
1902×/-lowering-/.f32
1902×/-lowering-/.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01045
12545
28945
323245
442040
564340
6107740
7259540
8348440
9392040
10450840
11470840
12498740
13533540
14576840
15627640
16674640
17693840
18702740
19711340
20721740
21757240
0808140
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
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)

localize57.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
✓accuracy99.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
✓accuracy49.0%
(*.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
31.0ms256×0valid
Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 8.0ms (50.4% of total)
ival-div: 3.0ms (18.9% of total)
ival-sqrt: 3.0ms (18.9% of total)
ival-add: 2.0ms (12.6% of total)
const: 1.0ms (6.3% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
5 → 48
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))>
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 (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))>
Calls

12 calls:

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

rewrite268.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
2676×*-lowering-*.f32
2676×*-lowering-*.f64
1958×/-lowering-/.f32
1958×/-lowering-/.f64
1542×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01034
15232
244132
3463032
0801332
Stop Event
1×iter limit
1×node limit
Counts
5 → 169
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))
Outputs
(+.f64 (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) v) v) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v)))
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(fma.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(fma.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 25/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -125/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))))
(/.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))))
(/.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -125/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))) (+.f64 #s(literal 25/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v))))
(/.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v)))
(/.f64 (neg.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -125/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v))) #s(literal -25/64 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))) (+.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(/.f64 (+.f64 (pow.f64 (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))) (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))) (*.f64 (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) #s(literal 3 binary64)) (pow.f64 (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))) (-.f64 (*.f64 (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))) (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))) (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))) (-.f64 (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))) (*.f64 (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))) (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (*.f64 v (*.f64 #s(literal -5/8 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))))
(/.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -125/512 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))))
(/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))))
(/.f64 (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -125/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v))) #s(literal -25/64 binary64)))
(/.f64 (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -25/64 binary64) (/.f64 (/.f64 #s(literal 1/16 binary64) v) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
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(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) (+.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -125/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v))) #s(literal -25/64 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -125/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v))) #s(literal -25/64 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -25/64 binary64) (/.f64 (/.f64 #s(literal 1/16 binary64) v) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) v) (*.f64 v (*.f64 v v))) #s(literal -25/64 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -125/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v))) #s(literal -25/64 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -25/64 binary64) (/.f64 (/.f64 #s(literal 1/16 binary64) v) (*.f64 v (*.f64 v v)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) v) (*.f64 v (*.f64 v v))) #s(literal -25/64 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))) (+.f64 (*.f64 #s(literal -125/512 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 25/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -125/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v)))
(*.f64 (-.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal -125/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 25/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v)))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal -125/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 25/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v)))))
(*.f64 (+.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))))
(*.f64 (+.f64 (*.f64 #s(literal -125/512 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v)))))
(*.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 -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -125/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 25/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v)))))
(*.f64 (*.f64 (-.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (+.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (-.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 25/64 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (-.f64 #s(literal -125/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 25/64 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) (-.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -125/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 15625/262144 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v)) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v)))))) (+.f64 #s(literal 625/4096 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v)) #s(literal 25/64 binary64)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -125/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (-.f64 #s(literal 625/4096 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v)) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v))))) (-.f64 #s(literal 25/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) (*.f64 v v))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 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 (*.f64 #s(literal 1 binary64) (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 (log.f64 (/.f64 v (/.f64 #s(literal 1/4 binary64) v))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))
(neg.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))
(neg.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) v) v) #s(literal 1 binary64)))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 #s(literal 1/4 binary64) v)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/.f64 (/.f64 #s(literal 1/4 binary64) v) (neg.f64 (-.f64 #s(literal 0 binary64) v)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 v 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 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) v)) (-.f64 #s(literal 0 binary64) v))
(/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) v) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) v))
(pow.f64 (/.f64 v (/.f64 #s(literal 1/4 binary64) v)) #s(literal -1 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v)))
(*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 1/4 binary64) v) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 #s(literal 1/4 binary64) v) (*.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v))
(*.f64 (/.f64 #s(literal -1/4 binary64) v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1/4 binary64) v))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (/.f64 v (/.f64 #s(literal 1/4 binary64) v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 v (/.f64 #s(literal 1/4 binary64) v)) #s(literal -1/2 binary64)))

simplify210.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
3638×*-lowering-*.f32
3638×*-lowering-*.f64
2210×fma-define
1792×/-lowering-/.f32
1792×/-lowering-/.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
017384
137348
2102330
3254330
4476321
51155303
62423303
74081303
85119303
95755303
107064303
117416303
127860303
08173303
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
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 (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))
Outputs
(* 1/4 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 v v)) #s(literal 1/4 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 v v)) #s(literal 1/4 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 v v)) #s(literal 1/4 binary64)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 v v)) #s(literal 1/4 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 v v)) #s(literal 1/4 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 v v)) #s(literal 1/4 binary64)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 v v)) #s(literal 1/4 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 v v)) #s(literal 1/4 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/8 binary64) (*.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)
(* 1/4 (/ (sqrt 2) (pow v 2)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) v) v)
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) v) v)))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) v) v)))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) 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 (/.f64 #s(literal 1/4 binary64) 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 (/.f64 #s(literal 1/4 binary64) 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 (/.f64 #s(literal 1/4 binary64) 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 (/.f64 #s(literal 1/4 binary64) 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 (/.f64 #s(literal 1/4 binary64) 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 (/.f64 #s(literal 1/4 binary64) v) v)))
(/ 1/4 (pow v 2))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/ 1/4 (pow v 2))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/ 1/4 (pow v 2))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/ 1/4 (pow v 2))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/ 1/4 (pow v 2))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/ 1/4 (pow v 2))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/ 1/4 (pow v 2))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/ 1/4 (pow v 2))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/ 1/4 (pow v 2))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/ 1/4 (pow v 2))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/ 1/4 (pow v 2))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/ 1/4 (pow v 2))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)

eval22.0ms (0.3%)

Compiler

Compiled 5585 to 628 computations (88.8% saved)

prune28.0ms (0.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2471248
Fresh000
Picked101
Done055
Total2486254
Accuracy
100.0%
Counts
254 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))
✓100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))
✓100.0%
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
46.9%
(*.f64 (-.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
✓99.6%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓98.6%
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
Compiler

Compiled 304 to 131 computations (56.9% saved)

regimes15.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.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 (-.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.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)))
Outputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))
Calls

3 calls:

4.0ms
v
4.0ms
(*.f64 v v)
3.0ms
(*.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)

regimes7.0ms (0.1%)

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

2 calls:

3.0ms
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)

regimes5.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.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 (-.f64 #s(literal -5/8 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) v) v)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Outputs
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Calls

2 calls:

3.0ms
v
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
100.0%1v
100.0%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes5.0ms (0.1%)

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

2 calls:

2.0ms
v
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.6%1v
99.6%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
v
Results
AccuracySegmentsBranch
98.6%1v
Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
24×*-commutative_binary64
18×+-commutative_binary64
12×sub-neg_binary64
10×distribute-lft-neg-in_binary64
10×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03072
15372
26872
38072
48572
58672
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))

soundness1.2s (16.1%)

Rules
5036×*-lowering-*.f32
5036×*-lowering-*.f64
5006×+-lowering-+.f64
5006×+-lowering-+.f32
4966×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025146
1144131
21120120
08797120
02702621
19082441
236022316
083482316
0133747
1446721
21926682
35644679
08277679
01443
17141
248838
3540938
0835438
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 184 to 108 computations (41.3% saved)

preprocess68.0ms (0.9%)

Remove

(abs v)

Compiler

Compiled 348 to 180 computations (48.3% saved)

end0.0ms (0%)

Profiling

Loading profile data...