Falkner and Boettcher, Appendix B, 2

Time bar (total: 7.8s)

analyze5.0ms (0.1%)

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

Compiled 21 to 15 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 1.0ms (38.3% of total)
ival-sqrt: 1.0ms (38.3% 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)

sample1.4s (17.5%)

Results
852.0ms8256×0valid
1.0ms6×0invalid
Precisions
Click to see histograms. Total time spent on operations: 587.0ms
ival-mult: 230.0ms (39.2% of total)
ival-sqrt: 140.0ms (23.8% of total)
ival-div: 96.0ms (16.4% of total)
ival-sub: 93.0ms (15.8% of total)
const: 24.0ms (4.1% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess228.0ms (2.9%)

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: 5 (0.0ms)

IterNodesCost
02352
17551
219248
364248
4211948
5589245
01417
13717
28916
324416
473716
5178215
6306215
7546115
8753115
0809415
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 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 v (/.f64 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 (square v) -1))) (fnmsub (square v) 1/4 -1/4))
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (neg v) (neg v)))))) (- 1 (* (neg v) (neg v))))
(* (* (sqrt 2) (sqrt (fnmsub 3 (square v) -1))) (fnmsub (square v) 1/4 -1/4))
(neg (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (neg v) (neg v)))))) (- 1 (* (neg v) (neg v)))))
(* (* (sqrt 2) (sqrt (fnmsub 3 (square v) -1))) (fnmsub (square v) -1/4 1/4))
Symmetry

(abs v)

explain186.0ms (2.4%)

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
116.0ms512×0valid
Compiler

Compiled 166 to 44 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 12.0ms (35.3% of total)
ival-sqrt: 8.0ms (23.5% of total)
ival-sub: 7.0ms (20.6% of total)
ival-div: 4.0ms (11.8% of total)
const: 2.0ms (5.9% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 20 to 16 computations (20% saved)

prune1.0ms (0%)

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

Compiled 20 to 14 computations (30% saved)

simplify169.0ms (2.2%)

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: 5 (0.0ms)

IterNodesCost
01463
13763
28959
324459
473759
5178258
6306258
7546158
8753158
0809458
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 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 v (/.f64 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 (*.f64 v v) #s(literal -3 binary64)))))
(/ (sqrt 2) 4)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
4
#s(literal 4 binary64)
(sqrt (- 1 (* 3 (* v v))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
(- 1 (* 3 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
1
#s(literal 1 binary64)
(* 3 (* v v))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
3
#s(literal 3 binary64)
(* v v)
(*.f64 v v)
v
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize61.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 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)))))
✓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)))
✓accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 v v))
Results
43.0ms256×0valid
Compiler

Compiled 73 to 15 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (35.8% of total)
ival-sqrt: 4.0ms (23.9% of total)
ival-div: 3.0ms (17.9% of total)
ival-sub: 3.0ms (17.9% of total)
const: 1.0ms (6% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
6 → 48
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))>
#<alt (- 1 (* 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))>
#<alt 1>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (* -3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* -3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
Calls

12 calls:

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

rewrite287.0ms (3.7%)

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
01445
17243
249140
3541240
0843940
Stop Event
1×iter limit
1×node limit
Counts
6 → 306
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))
(- 1 (* 3 (* v v)))
Outputs
(+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 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 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (*.f64 v v) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 v v)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 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 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 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 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 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 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 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 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 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 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 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 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) (/.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) (/.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))))) (+.f64 (*.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))))))))
(/.f64 (-.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) (/.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) (/.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))))) (*.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) #s(literal 19683 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal 3 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))) (-.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 9 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 9 binary64)) #s(literal 3 binary64)))))

simplify251.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
4690×*-lowering-*.f32
4690×*-lowering-*.f64
2306×+-lowering-+.f64
2306×+-lowering-+.f32
964×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0139821
1460739
21970701
35715699
08081699
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
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))
1
(+ 1 (* -3 (pow v 2)))
(+ 1 (* -3 (pow v 2)))
(+ 1 (* -3 (pow v 2)))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
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 v (*.f64 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 v (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.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 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (/.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 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (+.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (/.f64 #s(literal 11/24 binary64) (*.f64 v v))) (/.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)))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.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 (*.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 (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 v v) (*.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 (+.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))) (*.f64 v v)) (/.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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (+.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (/.f64 #s(literal 11/24 binary64) (*.f64 v v))) (/.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))))))))
(* 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 v (*.f64 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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) (+.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 v (*.f64 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 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1/96 binary64) (*.f64 v v))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(+.f64 (*.f64 v (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1/96 binary64) (*.f64 v v))) (/.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 v (*.f64 #s(literal -1/4 binary64) (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 v (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 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))))))
(* -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 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1/96 binary64) (*.f64 v v))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(+.f64 (*.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 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v)) (/.f64 #s(literal 1/96 binary64) (*.f64 v v))) (/.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)))
1
#s(literal 1 binary64)
(+ 1 (* -3 (pow v 2)))
(+.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(+.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(+.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 1 binary64))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 1 binary64))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 1 binary64))

eval44.0ms (0.6%)

Compiler

Compiled 11510 to 1241 computations (89.2% saved)

prune49.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3486354
Fresh000
Picked101
Done000
Total3496355
Accuracy
100.0%
Counts
355 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 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 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))))))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 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 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))))))
▶98.9%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -3/8 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶98.5%
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶98.5%
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
Compiler

Compiled 208 to 144 computations (30.8% saved)

simplify182.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))))))
✓cost-diff128
(*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 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 v (*.f64 v #s(literal -3/8 binary64)))))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 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-diff0
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64))
✓cost-diff128
(*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))
✓cost-diff128
(/.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Rules
2148×sum3-define
2076×*-lowering-*.f32
2076×*-lowering-*.f64
1980×fnmadd-define
1184×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
026199
171186
2195186
3569186
41965183
54658183
08324183
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (sqrt (+ 2 (* (* (* v v) -3) 2))) 4) (/ 1 (- 1 (* v v))))
(/ (sqrt (+ 2 (* (* (* v v) -3) 2))) 4)
(sqrt (+ 2 (* (* (* v v) -3) 2)))
(+ 2 (* (* (* v v) -3) 2))
2
(* (* (* v v) -3) 2)
(* (* v v) -3)
(* v v)
v
-3
4
(/ 1 (- 1 (* v v)))
1
(- 1 (* v v))
(* 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 -3/8)
-3/8
(- 1 (* v v))
1
(* v v)
(/ (- 1 (* v v)) (/ 4 (sqrt (+ 2 (* (* (* v v) -3) 2)))))
(- 1 (* v v))
1
(* v v)
v
(/ 4 (sqrt (+ 2 (* (* (* v v) -3) 2))))
4
(sqrt (+ 2 (* (* (* v v) -3) 2)))
(+ 2 (* (* (* v v) -3) 2))
2
(* (* (* v v) -3) 2)
(* (* v v) -3)
-3
Outputs
(/ (/ (sqrt (+ 2 (* (* (* v v) -3) 2))) 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 (* (* (* v v) -3) 2))) 4)
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) #s(literal 4 binary64))
(sqrt (+ 2 (* (* (* v v) -3) 2)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))
(+ 2 (* (* (* v v) -3) 2))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
2
#s(literal 2 binary64)
(* (* (* v v) -3) 2)
(*.f64 v (*.f64 v #s(literal -6 binary64)))
(* (* v v) -3)
(*.f64 v (*.f64 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
#s(literal 1 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* 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 (*.f64 v 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 (*.f64 v 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 (*.f64 v v) #s(literal -3/8 binary64)))
1/4
#s(literal 1/4 binary64)
(* v (* v -3/8))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
v
(* v -3/8)
(*.f64 v #s(literal -3/8 binary64))
-3/8
#s(literal -3/8 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)
(* v v)
(*.f64 v v)
(/ (- 1 (* v v)) (/ 4 (sqrt (+ 2 (* (* (* v v) -3) 2)))))
(/.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 (* (* (* v v) -3) 2))))
(/.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 (* (* (* v v) -3) 2)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))
(+ 2 (* (* (* v v) -3) 2))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
2
#s(literal 2 binary64)
(* (* (* v v) -3) 2)
(*.f64 v (*.f64 v #s(literal -6 binary64)))
(* (* v v) -3)
(*.f64 v (*.f64 v #s(literal -3 binary64)))
-3
#s(literal -3 binary64)

localize213.0ms (2.7%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -3 binary64))
✓accuracy98.5%
(/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 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 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))))))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -3/8 binary64)))))
✓accuracy100.0%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -3/8 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy99.8%
(*.f64 v (*.f64 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%
(/.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -3 binary64))
Results
124.0ms256×0valid
Compiler

Compiled 251 to 27 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 16.0ms (47.5% of total)
ival-div: 8.0ms (23.7% of total)
ival-sqrt: 4.0ms (11.9% of total)
ival-add: 3.0ms (8.9% of total)
ival-sub: 1.0ms (3% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts
17 → 180
Calls
Call 1
Inputs
#<alt (/ (/ (sqrt (+ 2 (* (* (* v v) -3) 2))) 4) (/ 1 (- 1 (* v v))))>
#<alt (* (* (* v v) -3) 2)>
#<alt (/ (sqrt (+ 2 (* (* (* v v) -3) 2))) 4)>
#<alt (sqrt (+ 2 (* (* (* v v) -3) 2)))>
#<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 (/ (- 1 (* v v)) (/ 4 (sqrt (+ 2 (* (* (* v v) -3) 2)))))>
#<alt (* v v)>
#<alt (* (* v v) -3)>
#<alt (+ 2 (* (* (* v v) -3) 2))>
#<alt (* v (* v -3/8))>
#<alt (/ 4 (sqrt (+ 2 (* (* (* v v) -3) 2))))>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))>
#<alt (* -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 (+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* 1/4 (* v (sqrt -6)))>
#<alt (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1/4 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 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)))))))>
#<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) (- (* -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 (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 (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 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 (* -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))>
#<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))>
Calls

45 calls:

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

rewrite370.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
4988×*-lowering-*.f32
4988×*-lowering-*.f64
2850×/-lowering-/.f32
2850×/-lowering-/.f64
1824×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026123
1146112
21080112
08519112
Stop Event
1×iter limit
1×node limit
Counts
17 → 958
Calls
Call 1
Inputs
(/ (/ (sqrt (+ 2 (* (* (* v v) -3) 2))) 4) (/ 1 (- 1 (* v v))))
(* (* (* v v) -3) 2)
(/ (sqrt (+ 2 (* (* (* v v) -3) 2))) 4)
(sqrt (+ 2 (* (* (* v v) -3) 2)))
(* 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)))
(/ (- 1 (* v v)) (/ 4 (sqrt (+ 2 (* (* (* v v) -3) 2)))))
(* v v)
(* (* v v) -3)
(+ 2 (* (* (* v v) -3) 2))
(* v (* v -3/8))
(/ 4 (sqrt (+ 2 (* (* (* v v) -3) 2))))
Outputs
(+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)) (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -4 binary64)) (*.f64 v v)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -4 binary64)) (*.f64 v v))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -4 binary64)) (*.f64 v v)) #s(literal 1 binary64)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -4 binary64)) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)) (*.f64 v v))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 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 (*.f64 v v) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 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 (*.f64 v v) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) (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)))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -4 binary64)) (*.f64 v v)) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64) (neg.f64 (*.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64))) v))) (fma.f64 (neg.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)))) v (*.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64))) v)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64) (neg.f64 (*.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))))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 (-.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 (fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64))) v))) (fma.f64 (neg.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)))) v (*.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64))) v)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)) #s(literal 1 binary64) (neg.f64 (*.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))))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 (-.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 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)) (neg.f64 (*.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64))) v))) (fma.f64 (neg.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)))) v (*.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64))) v)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)) (neg.f64 (*.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))))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 (-.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 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (neg.f64 (*.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64))) v))) (fma.f64 (neg.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)))) v (*.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64))) v)))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (neg.f64 (*.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))))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 (-.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 (fma.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) (neg.f64 (*.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64))) v))) (fma.f64 (neg.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)))) v (*.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64))) v)))
(+.f64 (fma.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) (neg.f64 (*.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))))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 (-.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 (fma.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))))) (neg.f64 (*.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64))) v))) (fma.f64 (neg.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)))) v (*.f64 (*.f64 v (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64))) v)))
(+.f64 (fma.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))))) (neg.f64 (*.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))))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 (-.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)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)) (/.f64 (/.f64 (*.f64 v v) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 v v) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) #s(literal 1 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) #s(literal 1 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (/.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) #s(literal 1 binary64)))))) (/.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) #s(literal 1 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (*.f64 v v) #s(literal 1 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal 36 binary64) (*.f64 v v))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal 36 binary64) (*.f64 v v))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal 36 binary64) (*.f64 v v))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal 36 binary64) (*.f64 v v))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal 36 binary64) (*.f64 v v))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal 36 binary64) (*.f64 v v))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) (+.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal 36 binary64) (*.f64 v v))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) (-.f64 (*.f64 #s(literal -12 binary64) (*.f64 v v)) #s(literal 4 binary64))))))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal 36 binary64) (*.f64 v v))) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 12 binary64) (*.f64 v v))))))
(*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))
(*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -3 binary64))) (-.f64 (*.f64 #s(literal -12 binary64) (*.f64 v v)) #s(literal 4 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -36 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal 36 binary64) (*.f64 v v))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal -2 binary64))))
(*.f64 v (*.f64 v #s(literal -3/8 binary64)))
(*.f64 (*.f64 v v) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal -3/8 binary64)) v)
(*.f64 (*.f64 v (*.f64 v #s(literal -3/8 binary64))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(neg.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -4 binary64)))
(/.f64 #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 #s(literal -4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #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 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(*.f64 #s(literal -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))))
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 4 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) #s(literal -4 binary64))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)) #s(literal -1/2 binary64)))

simplify309.0ms (4%)

Algorithm
1×egg-herbie
Rules
4340×*-lowering-*.f32
4340×*-lowering-*.f64
3390×+-lowering-+.f64
3390×+-lowering-+.f32
1638×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02832417
19111998
231051930
375521930
080611930
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
(* -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))
(+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))
(* 1/4 (* v (sqrt -6)))
(* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))
(* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1/4 (* v (sqrt -6)))
(* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 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)))))))
(* 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) (- (* -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))))))))
(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 (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))
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))
(* -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))
(* 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))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(*.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 v v))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.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 v (*.f64 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 v (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(*.f64 v (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (/.f64 (+.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(*.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(*.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) (/.f64 (+.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))))))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 v v) #s(literal -3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -9/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -27/8 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(* 1/4 (* v (sqrt -6)))
(*.f64 #s(literal 1/4 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))
(*.f64 v (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))
(* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))
(*.f64 v (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))))
(* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 v (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))))
(* -1/4 (* v (sqrt -6)))
(*.f64 v (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))
(*.f64 #s(literal -1/4 binary64) (*.f64 v (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))
(-.f64 #s(literal 0 binary64) (*.f64 v (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))) (-.f64 #s(literal 0 binary64) v))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal -3 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 v v) #s(literal -9/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 v v) #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(* v (sqrt -6))
(*.f64 v (sqrt.f64 #s(literal -6 binary64)))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(*.f64 v (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(*.f64 v (+.f64 (/.f64 (/.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 v) (*.f64 v v))))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 v (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))))
(* -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 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) v))
(* -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 v) (*.f64 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 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))) (-.f64 #s(literal 0 binary64) v))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/4 (* (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 -1/4 binary64))))
(+ (* -1/4 (* (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 -1/4 binary64))))
(+ (* -1/4 (* (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 -1/4 binary64))))
(* -1/4 (* (pow v 2) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -1/4 binary64)))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* -1/4 (* (pow v 2) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) #s(literal -1/4 binary64)))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
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(*.f64 v (*.f64 v #s(literal -3/8 binary64)))
(* 4 (sqrt 1/2))
(*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* 3 (/ (pow v 2) (sqrt 1/2))) (* 4 (sqrt 1/2)))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 v v) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3 (/ 1 (sqrt 1/2))))))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 #s(literal 27/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3 (/ 1 (sqrt 1/2))))))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 #s(literal 135/8 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 27/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(* 4 (/ (sqrt -1/6) v))
(*.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) v))
(/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) v)
(/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (/.f64 #s(literal -1/36 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))) v)
(/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 1/72 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 5/1296 binary64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64))))) v)
(* -4 (/ (sqrt -1/6) v))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -4 binary64)) v)
(* -1 (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) (-.f64 #s(literal 0 binary64) v))
(* -1 (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))
(/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64))))) v)
(* -1 (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 1/72 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 5/1296 binary64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) v))

eval231.0ms (3%)

Compiler

Compiled 47525 to 3069 computations (93.5% saved)

prune137.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New166831671
Fresh101
Picked415
Done000
Total167341677
Accuracy
100.0%
Counts
1677 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
▶100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
▶99.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓98.5%
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
Compiler

Compiled 52 to 40 computations (23.1% saved)

simplify143.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓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 (*.f64 v v) #s(literal -1 binary64))))
✓cost-diff0
(+.f64 (*.f64 v v) #s(literal -1 binary64))
✓cost-diff0
(/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
✓cost-diff0
(/.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
✓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
2044×sum3-define
1238×*-lowering-*.f32
1238×*-lowering-*.f64
1162×fma-lowering-fma.f32
1162×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021140
151129
2119129
3294127
41092127
52696127
64759127
08248127
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
(/ 1 (/ (/ -4 (+ (* v v) -1)) (sqrt (+ 2 (* (* v v) -6)))))
1
(/ (/ -4 (+ (* v v) -1)) (sqrt (+ 2 (* (* v v) -6))))
(/ -4 (+ (* v v) -1))
-4
(+ (* v v) -1)
(* v v)
v
-1
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
2
(* (* v v) -6)
-6
(/ (sqrt (+ 2 (* (* v v) -6))) (/ -4 (+ (* v v) -1)))
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
2
(* (* v v) -6)
(* v v)
v
-6
(/ -4 (+ (* v v) -1))
-4
(+ (* v v) -1)
-1
Outputs
(* (sqrt 2) (+ 1/4 (* (* v v) -5/8)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1/4 (* (* v v) -5/8))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
1/4
#s(literal 1/4 binary64)
(* (* v v) -5/8)
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* v v)
(*.f64 v v)
v
-5/8
#s(literal -5/8 binary64)
(/ 1 (/ (/ -4 (+ (* v v) -1)) (sqrt (+ 2 (* (* v v) -6)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(/ (/ -4 (+ (* v v) -1)) (sqrt (+ 2 (* (* v v) -6))))
(/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ -4 (+ (* v v) -1))
(/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
-4
#s(literal -4 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
(* v v)
(*.f64 v v)
v
-1
#s(literal -1 binary64)
(sqrt (+ 2 (* (* v v) -6)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(+ 2 (* (* v v) -6))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
2
#s(literal 2 binary64)
(* (* v v) -6)
(*.f64 (*.f64 v v) #s(literal -6 binary64))
-6
#s(literal -6 binary64)
(/ (sqrt (+ 2 (* (* v v) -6))) (/ -4 (+ (* v v) -1)))
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(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 (+ (* v v) -1))
(/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
-4
#s(literal -4 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)

localize139.0ms (1.8%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓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 (*.f64 v v) #s(literal -1 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -6 binary64))
✓accuracy98.5%
(/.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓accuracy98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.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))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
Results
85.0ms256×0valid
Compiler

Compiled 164 to 22 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 8.0ms (29.4% of total)
ival-mult: 8.0ms (29.4% of total)
ival-add: 5.0ms (18.4% of total)
ival-sqrt: 4.0ms (14.7% of total)
const: 1.0ms (3.7% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
13 → 144
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 (/ 1 (/ (/ -4 (+ (* v v) -1)) (sqrt (+ 2 (* (* v v) -6)))))>
#<alt (/ (/ -4 (+ (* v v) -1)) (sqrt (+ 2 (* (* v v) -6))))>
#<alt (/ -4 (+ (* v v) -1))>
#<alt (+ (* v v) -1)>
#<alt (/ (sqrt (+ 2 (* (* v v) -6))) (/ -4 (+ (* v v) -1)))>
#<alt (sqrt (+ 2 (* (* v v) -6)))>
#<alt (+ 2 (* (* v v) -6))>
#<alt (* (* v v) -6)>
#<alt (* 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 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 (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))) (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 27/2 (/ 1 (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* -1/4 (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -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)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -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))))))))>
#<alt (* 4 (sqrt 1/2))>
#<alt (+ (* -4 (* (pow v 2) (- (* -1 (sqrt 1/2)) (* 3/4 (/ 1 (sqrt 1/2)))))) (* 4 (sqrt 1/2)))>
#<alt (+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* -4 (* (pow v 2) (- (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (* 3/4 (/ 1 (sqrt 1/2)))))) (* -4 (- (* -1 (sqrt 1/2)) (* 3/4 (/ 1 (sqrt 1/2))))))))>
#<alt (+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* -4 (- (* -1 (sqrt 1/2)) (* 3/4 (/ 1 (sqrt 1/2))))) (* (pow v 2) (+ (* -4 (* (pow v 2) (- (+ (* -1 (sqrt 1/2)) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* -1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3/4 (/ 1 (sqrt 1/2)))))) (* -4 (- (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (* 3/4 (/ 1 (sqrt 1/2))))))))))>
#<alt (* -4 (/ (sqrt -1/6) (pow v 3)))>
#<alt (/ (+ (* -4 (sqrt -1/6)) (* -4 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 2)))) (pow v 3))>
#<alt (/ (+ (* -4 (sqrt -1/6)) (+ (* -4 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 2))) (* -4 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (sqrt -1/6)))) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 4))))) (pow v 3))>
#<alt (/ (+ (* -4 (sqrt -1/6)) (+ (* -4 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 2))) (+ (* -4 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (sqrt -1/6)))) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 4))) (* -4 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (sqrt -1/6))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (sqrt -1/6))))) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 6)))))) (pow v 3))>
#<alt (* 4 (/ (sqrt -1/6) (pow v 3)))>
#<alt (* -1 (/ (+ (* -4 (sqrt -1/6)) (* -4 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 2)))) (pow v 3)))>
#<alt (* -1 (/ (+ (* -4 (sqrt -1/6)) (+ (* -4 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 2))) (* -4 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (sqrt -1/6)))) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 4))))) (pow v 3)))>
#<alt (* -1 (/ (+ (* -4 (sqrt -1/6)) (+ (* -4 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 2))) (+ (* -4 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (sqrt -1/6)))) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 4))) (* -4 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (sqrt -1/6))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (sqrt -1/6))))) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 6)))))) (pow v 3)))>
#<alt 4>
#<alt (+ 4 (* 4 (pow v 2)))>
#<alt (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))>
#<alt (+ 4 (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))))>
#<alt (/ -4 (pow v 2))>
#<alt (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 4) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 4 (* 4 (/ 1 (pow v 2))))) (pow v 2))>
#<alt (/ -4 (pow v 2))>
#<alt (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 4) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 4 (* 4 (/ 1 (pow v 2))))) (pow v 2))>
#<alt -1>
#<alt (- (pow v 2) 1)>
#<alt (- (pow v 2) 1)>
#<alt (- (pow v 2) 1)>
#<alt (pow v 2)>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -1/4 (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))) (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 27/2 (/ 1 (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* -1/4 (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -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)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -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))))))))>
#<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 (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)>
Calls

36 calls:

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

rewrite541.0ms (6.9%)

Algorithm
1×batch-egg-rewrite
Rules
5444×*-lowering-*.f32
5444×*-lowering-*.f64
3648×/-lowering-/.f32
3648×/-lowering-/.f64
1380×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02192
111885
287485
0851985
Stop Event
1×iter limit
1×node limit
Counts
13 → 1088
Calls
Call 1
Inputs
(* (sqrt 2) (+ 1/4 (* (* v v) -5/8)))
(sqrt 2)
(+ 1/4 (* (* v v) -5/8))
(* (* v v) -5/8)
(/ 1 (/ (/ -4 (+ (* v v) -1)) (sqrt (+ 2 (* (* v v) -6)))))
(/ (/ -4 (+ (* v v) -1)) (sqrt (+ 2 (* (* v v) -6))))
(/ -4 (+ (* v v) -1))
(+ (* v v) -1)
(/ (sqrt (+ 2 (* (* v v) -6))) (/ -4 (+ (* v v) -1)))
(sqrt (+ 2 (* (* v v) -6)))
(+ 2 (* (* v v) -6))
(* (* v v) -6)
(* v v)
Outputs
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 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)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal 5/8 binary64))))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) #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))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 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 v (*.f64 v #s(literal -5/8 binary64)))))
(fma.f64 v (*.f64 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 (*.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 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 v (*.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 (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) 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 v (*.f64 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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal 5/8 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal 5/8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25/64 binary64)) #s(literal -5/32 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -125/512 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal 5/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25/64 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25/64 binary64)) #s(literal -5/32 binary64)))) (*.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v 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 (*.f64 v v) #s(literal 5/8 binary64))) (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25/64 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal 5/8 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal 5/8 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -125/512 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25/64 binary64)) #s(literal -5/32 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -125/512 binary64)))) (+.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25/64 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 5/32 binary64) (*.f64 v v)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25/64 binary64)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal 5/8 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -125/512 binary64))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25/64 binary64)) #s(literal -5/32 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -125/512 binary64))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25/64 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 5/32 binary64) (*.f64 v v)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25/64 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1/4 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 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v #s(literal -5/8 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -5/8 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal 5/8 binary64)))))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 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 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -125/512 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25/64 binary64)) #s(literal -5/32 binary64))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25/64 binary64))))))) (+.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 (*.f64 v v) #s(literal 5/8 binary64)))))
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(/.f64 (+.f64 #s(literal 512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))))) #s(literal -10077696 binary64))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64)))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64)) #s(literal 8 binary64))))))
(/.f64 (+.f64 #s(literal 512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))))) #s(literal -10077696 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64)))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64)) #s(literal 8 binary64))))))
(/.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 46656 binary64))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64)))) (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64)))))
(/.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 46656 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64)))) (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64)))))
(/.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 46656 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) #s(literal 4 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) #s(literal -4 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 1296 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))))) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))))) #s(literal -10077696 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64)) #s(literal 8 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 46656 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 46656 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 1296 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64))))) (neg.f64 (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -36 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) #s(literal -4 binary64))) (neg.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (+.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -36 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))))) #s(literal -10077696 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64)))))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64)) #s(literal 8 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 46656 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64)))))) (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 46656 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 1296 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64))))))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal -12 binary64))))))
(*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64)))))))
(*.f64 (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -36 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -36 binary64))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal -2 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -36 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -36 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64))) (*.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64))) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64))))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64))) (-.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64))) #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64))) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64)))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -36 binary64))) (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64)))))
(*.f64 v (*.f64 v #s(literal -6 binary64)))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal -6 binary64)) v)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(*.f64 v v)
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))

simplify304.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
5422×*-lowering-*.f32
5422×*-lowering-*.f64
4548×+-lowering-+.f64
4548×+-lowering-+.f32
1440×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02532145
18121708
230061655
086111655
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -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 (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))) (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 27/2 (/ 1 (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* -1/4 (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -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 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -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))))))))
(* 4 (sqrt 1/2))
(+ (* -4 (* (pow v 2) (- (* -1 (sqrt 1/2)) (* 3/4 (/ 1 (sqrt 1/2)))))) (* 4 (sqrt 1/2)))
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* -4 (* (pow v 2) (- (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (* 3/4 (/ 1 (sqrt 1/2)))))) (* -4 (- (* -1 (sqrt 1/2)) (* 3/4 (/ 1 (sqrt 1/2))))))))
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* -4 (- (* -1 (sqrt 1/2)) (* 3/4 (/ 1 (sqrt 1/2))))) (* (pow v 2) (+ (* -4 (* (pow v 2) (- (+ (* -1 (sqrt 1/2)) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* -1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3/4 (/ 1 (sqrt 1/2)))))) (* -4 (- (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (* 3/4 (/ 1 (sqrt 1/2))))))))))
(* -4 (/ (sqrt -1/6) (pow v 3)))
(/ (+ (* -4 (sqrt -1/6)) (* -4 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 2)))) (pow v 3))
(/ (+ (* -4 (sqrt -1/6)) (+ (* -4 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 2))) (* -4 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (sqrt -1/6)))) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 4))))) (pow v 3))
(/ (+ (* -4 (sqrt -1/6)) (+ (* -4 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 2))) (+ (* -4 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (sqrt -1/6)))) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 4))) (* -4 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (sqrt -1/6))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (sqrt -1/6))))) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 6)))))) (pow v 3))
(* 4 (/ (sqrt -1/6) (pow v 3)))
(* -1 (/ (+ (* -4 (sqrt -1/6)) (* -4 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 2)))) (pow v 3)))
(* -1 (/ (+ (* -4 (sqrt -1/6)) (+ (* -4 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 2))) (* -4 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (sqrt -1/6)))) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 4))))) (pow v 3)))
(* -1 (/ (+ (* -4 (sqrt -1/6)) (+ (* -4 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 2))) (+ (* -4 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (sqrt -1/6)))) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 4))) (* -4 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (sqrt -1/6))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (sqrt -1/6))))) (* 1/36 (/ 1 (sqrt -1/6)))) (pow v 6)))))) (pow v 3)))
4
(+ 4 (* 4 (pow v 2)))
(+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))
(+ 4 (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))))
(/ -4 (pow v 2))
(* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 4) (pow v 2))
(/ (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 4 (* 4 (/ 1 (pow v 2))))) (pow v 2))
(/ -4 (pow v 2))
(* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 4) (pow v 2))
(/ (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 4 (* 4 (/ 1 (pow v 2))))) (pow v 2))
-1
(- (pow v 2) 1)
(- (pow v 2) 1)
(- (pow v 2) 1)
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* 1/4 (sqrt 2))
(+ (* -1/4 (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))) (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 27/2 (/ 1 (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* -1/4 (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -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 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -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))))))))
(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))
(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)
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 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 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 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 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 (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) v) v)
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(*.f64 (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) v) v)
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(*.f64 (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) 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 (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) v) v)
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(*.f64 (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) v) v)
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(*.f64 (*.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) 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 (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (* 1/4 (sqrt 2)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))) (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 v v) #s(literal -1/4 binary64)) (+.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 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 -3 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 27/2 (/ 1 (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* -1/4 (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))))
(+.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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 v v))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(*.f64 (*.f64 v v) (*.f64 v (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2)))))
(*.f64 v (*.f64 (*.f64 v v) (*.f64 #s(literal -1/4 binary64) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))))))
(*.f64 v (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.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 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -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)))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.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 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))))))
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(*.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.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 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -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))))))))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.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 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 #s(literal -9/4 binary64) v) (/.f64 v (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(* v (sqrt -6))
(*.f64 v (sqrt.f64 #s(literal -6 binary64)))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(*.f64 v (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(*.f64 v (+.f64 (/.f64 (/.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)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 v (-.f64 (+.f64 (/.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 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64))))) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v (*.f64 v v)) v))))
(* -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 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) v))
(* -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 (/.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 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (pow.f64 v #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))
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
(+ 2 (* -6 (pow v 2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
(+ 2 (* -6 (pow v 2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 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)

eval251.0ms (3.2%)

Compiler

Compiled 50481 to 3387 computations (93.3% saved)

prune177.0ms (2.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New164621648
Fresh000
Picked033
Done011
Total164661652
Accuracy
100.0%
Counts
1652 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
✓100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
▶97.0%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
▶46.6%
(*.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)))))
✓99.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓98.5%
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
Compiler

Compiled 74 to 57 computations (23% saved)

simplify323.0ms (4.1%)

Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
✓cost-diff0
(*.f64 v v)
✓cost-diff256
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
Rules
5036×*-lowering-*.f32
5036×*-lowering-*.f64
2796×cube-prod
1910×/-lowering-/.f32
1910×/-lowering-/.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01652
13852
210452
324952
443648
566248
6108448
7259048
8347248
9391148
10450448
11471948
12501148
13538248
14584848
15640248
16689648
17712748
18722148
19731348
20742548
21780148
0832648
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* v v) (* (sqrt 2) (+ -5/8 (/ 1/4 (* v v)))))
(* v v)
v
(* (sqrt 2) (+ -5/8 (/ 1/4 (* v v))))
(sqrt 2)
2
(+ -5/8 (/ 1/4 (* v v)))
-5/8
(/ 1/4 (* v v))
1/4
(/ 1 (* 4 (sqrt 1/2)))
1
(* 4 (sqrt 1/2))
4
(sqrt 1/2)
1/2
Outputs
(* (* v v) (* (sqrt 2) (+ -5/8 (/ 1/4 (* v v)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(* v v)
(*.f64 v v)
v
(* (sqrt 2) (+ -5/8 (/ 1/4 (* v v))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ -5/8 (/ 1/4 (* v v)))
(+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))
-5/8
#s(literal -5/8 binary64)
(/ 1/4 (* v v))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
1/4
#s(literal 1/4 binary64)
(/ 1 (* 4 (sqrt 1/2)))
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(* 4 (sqrt 1/2))
(*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
4
#s(literal 4 binary64)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize105.0ms (1.3%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
✓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))))
✓accuracy48.9%
(*.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
87.0ms256×0valid
Compiler

Compiled 62 to 17 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (40.7% of total)
ival-div: 4.0ms (23.3% of total)
ival-sqrt: 4.0ms (23.3% of total)
ival-add: 2.0ms (11.6% of total)
const: 1.0ms (5.8% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
8 → 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 (sqrt 1/2)))>
#<alt (* 4 (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<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)))))
0.0ms
v
@inf
(* (* v v) (* (sqrt 2) (+ -5/8 (/ 1/4 (* v v)))))
0.0ms
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))))

rewrite236.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
2788×*-lowering-*.f32
2788×*-lowering-*.f64
2052×/-lowering-/.f32
2052×/-lowering-/.f64
1566×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01639
17239
251039
3487439
0827439
Stop Event
1×iter limit
1×node limit
Counts
8 → 230
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 (sqrt 1/2)))
(* 4 (sqrt 1/2))
(sqrt 1/2)
(/ 1/4 (* v v))
Outputs
(+.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))) (/.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))))
(+.f64 (/.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(-.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))) (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 v v))))
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (/.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v) (/.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))))
(fma.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal -5/8 binary64) (/.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (/.f64 v (/.f64 #s(literal 1/4 binary64) v))))
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(*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal 4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -4 binary64))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 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 #s(literal -1/4 binary64) (*.f64 v v)))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 #s(literal 1/4 binary64) v)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 v v) #s(literal -1/4 binary64)))
(/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v 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 (/.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 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 v v)))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v)))
(*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(*.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 (/.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)))

simplify220.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
3364×*-lowering-*.f32
3364×*-lowering-*.f64
2210×fma-define
1792×/-lowering-/.f32
1792×/-lowering-/.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
017384
137294
2103276
3252276
4472276
51146258
62510258
74158258
85199258
95834258
107149258
117513258
127963258
08044258
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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (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 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 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)

eval30.0ms (0.4%)

Compiler

Compiled 5891 to 751 computations (87.3% saved)

prune34.0ms (0.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3062308
Fresh000
Picked112
Done134
Total3086314
Accuracy
100.0%
Counts
314 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
97.0%
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
48.3%
(*.f64 (*.f64 (-.f64 #s(literal -5/8 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 v v))) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) v)
✓46.6%
(*.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)))))
✓99.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓98.5%
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
Compiler

Compiled 268 to 123 computations (54.1% saved)

regimes13.0ms (0.2%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 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 (-.f64 #s(literal -5/8 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 v v))) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) v)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 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 (*.f64 v v) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 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 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Outputs
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
Calls

3 calls:

5.0ms
v
4.0ms
(*.f64 v v)
4.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Results
AccuracySegmentsBranch
100.0%1v
100.0%1(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
100.0%1(*.f64 v v)
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes6.0ms (0.1%)

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

3.0ms
v
3.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.0%1v
99.0%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -1.0b remaining (-101.3%)

Threshold costs -1b (-101.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
Outputs
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
Calls

1 calls:

2.0ms
v
Results
AccuracySegmentsBranch
98.5%1v
Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
6×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01930
12630
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(*.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 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(*.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))

soundness1.1s (14.2%)

Rules
4988×*-lowering-*.f32
4988×*-lowering-*.f64
4690×*-lowering-*.f32
4690×*-lowering-*.f64
4340×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0139821
1460739
21970701
35715699
08081699
01445
17243
249140
3541240
0843940
02832417
19111998
231051930
375521930
080611930
026123
1146112
21080112
08519112
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 82 to 59 computations (28% saved)

preprocess46.0ms (0.6%)

Remove

(abs v)

Compiler

Compiled 170 to 114 computations (32.9% saved)

end0.0ms (0%)

Profiling

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