Falkner and Boettcher, Appendix B, 2

Time bar (total: 8.5s)

analyze5.0ms (0.1%)

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

Compiled 21 to 15 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 1.0ms (38.5% of total)
ival-sqrt: 1.0ms (38.5% of total)
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.4s (16.4%)

Results
862.0ms8256×0valid
1.0ms13×0invalid
Precisions
Click to see histograms. Total time spent on operations: 659.0ms
ival-mult: 293.0ms (44.5% of total)
ival-sqrt: 183.0ms (27.8% of total)
ival-sub: 89.0ms (13.5% of total)
ival-div: 69.0ms (10.5% of total)
const: 22.0ms (3.3% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess225.0ms (2.6%)

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)

explain128.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 #s(literal 1 binary64) (*.f64 v v))
00-0-#s(literal 2 binary64)
00-0-v
00-0-(*.f64 #s(literal 3 binary64) (*.f64 v v))
00-0-#s(literal 4 binary64)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
00-0-(sqrt.f64 #s(literal 2 binary64))
00-0-(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 v v)
00-0-(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
00-0-(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
Results
69.0ms512×0valid
Compiler

Compiled 166 to 44 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 16.0ms (44.4% of total)
ival-sqrt: 9.0ms (25% of total)
ival-sub: 5.0ms (13.9% of total)
ival-div: 4.0ms (11.1% of total)
const: 1.0ms (2.8% 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)))
▶100.0%
(*.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))))))
Compiler

Compiled 40 to 30 computations (25% saved)

simplify158.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
✓cost-diff0
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
✓cost-diff0
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
✓cost-diff0
(*.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)))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 v (/.f64 v #s(literal 4 binary64))))))
Rules
2146×fma-lowering-fma.f32
2146×fma-lowering-fma.f64
2032×*-lowering-*.f32
2032×*-lowering-*.f64
1846×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024134
162126
2146126
3410126
41295122
52238122
63764122
76090122
08063122
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt 2) (* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4)))))
(sqrt 2)
2
(* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4))))
(sqrt (+ 1 (* (* v v) -3)))
(+ 1 (* (* v v) -3))
1
(* (* v v) -3)
(* v v)
v
-3
(- 1/4 (* v (/ v 4)))
1/4
(* v (/ v 4))
(/ v 4)
4
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
(/ (sqrt 2) 4)
(sqrt 2)
2
4
(sqrt (- 1 (* 3 (* v v))))
(- 1 (* 3 (* v v)))
1
(* 3 (* v v))
3
(* v v)
v
(- 1 (* v v))
Outputs
(* (sqrt 2) (* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))))
(sqrt (+ 1 (* (* v v) -3)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))
(+ 1 (* (* v v) -3))
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(* (* v v) -3)
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* v v)
(*.f64 v v)
v
-3
#s(literal -3 binary64)
(- 1/4 (* v (/ v 4)))
(-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))
1/4
#s(literal 1/4 binary64)
(* v (/ v 4))
(/.f64 (*.f64 v v) #s(literal 4 binary64))
(/ v 4)
(/.f64 v #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 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 v (*.f64 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 v (*.f64 v #s(literal 3 binary64)))))
(- 1 (* 3 (* v v)))
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(* 3 (* v v))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
3
#s(literal 3 binary64)
(* v v)
(*.f64 v v)
v
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize91.0ms (1.1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy100.0%
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
✓accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 v v))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(*.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)))))
✓accuracy100.0%
(*.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))))))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -3 binary64))
Results
59.0ms256×0valid
Compiler

Compiled 154 to 25 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 14.0ms (47.5% of total)
ival-sqrt: 6.0ms (20.4% of total)
ival-sub: 4.0ms (13.6% of total)
ival-div: 3.0ms (10.2% of total)
ival-add: 1.0ms (3.4% of total)
const: 1.0ms (3.4% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts
9 → 84
Calls
Call 1
Inputs
#<alt (* (sqrt 2) (* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4)))))>
#<alt (sqrt 2)>
#<alt (* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4))))>
#<alt (sqrt (+ 1 (* (* v v) -3)))>
#<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 (* (* v v) -3)>
#<alt (* 3 (* v v))>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -1/4 (sqrt 2)))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (* 3/8 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (+ (* 3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (sqrt 2)) (* 9/32 (sqrt 2)))))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))>
#<alt (* -1/4 (* (pow v 3) (sqrt -3)))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (* 1/4 (/ (sqrt -3) (pow v 2)))) (/ 1/8 (* (pow v 2) (sqrt -3)))))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))) (/ 1/8 (* (pow v 2) (sqrt -3)))))>
#<alt (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt -3) 5))) (* 1/32 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))) (/ 1/8 (* (pow v 2) (sqrt -3)))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -3)))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (* 1/4 (/ (sqrt -3) (pow v 2)))) (/ 1/8 (* (pow v 2) (sqrt -3))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))) (/ 1/8 (* (pow v 2) (sqrt -3))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt -3) 5))) (* 1/32 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))) (/ 1/8 (* (pow v 2) (sqrt -3))))))>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))>
#<alt (* v (sqrt -3))>
#<alt (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))>
#<alt (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))>
#<alt (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))>
#<alt (* -1 (* v (sqrt -3)))>
#<alt (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))>
#<alt (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))>
#<alt (* 1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))>
#<alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
Calls

21 calls:

TimeVariablePointExpression
5.0ms
v
@0
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
5.0ms
v
@inf
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
1.0ms
v
@inf
(* (sqrt 2) (* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4)))))
1.0ms
v
@0
(* (sqrt 2) (* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4)))))
1.0ms
v
@inf
(* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4))))

rewrite279.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
3962×*-lowering-*.f32
3962×*-lowering-*.f64
2336×/-lowering-/.f32
2336×/-lowering-/.f64
1526×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02481
112573
291470
0920670
Stop Event
1×iter limit
1×node limit
Counts
9 → 521
Calls
Call 1
Inputs
(* (sqrt 2) (* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4)))))
(sqrt 2)
(* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4))))
(sqrt (+ 1 (* (* v v) -3)))
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
(/ (sqrt 2) 4)
(* (* v v) -3)
(* 3 (* v v))
Outputs
(+.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (*.f64 v v))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) (/.f64 v (/.f64 #s(literal -4 binary64) v))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (*.f64 (/.f64 v (/.f64 #s(literal -4 binary64) v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))) (*.f64 v v)))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (*.f64 (*.f64 v v) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))) (/.f64 v (/.f64 #s(literal -4 binary64) v)))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 v (/.f64 #s(literal -4 binary64) v)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))) (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))) (/.f64 v (/.f64 #s(literal -4 binary64) v))) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (*.f64 v v))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) (/.f64 v (/.f64 #s(literal -4 binary64) v))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)))
(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 v (/.f64 #s(literal -4 binary64) v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) (/.f64 v (/.f64 #s(literal -4 binary64) v))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) (/.f64 v (/.f64 #s(literal -4 binary64) v))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) (*.f64 (/.f64 v (/.f64 #s(literal -4 binary64) v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) (/.f64 v (/.f64 #s(literal -4 binary64) v))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) (/.f64 v (/.f64 #s(literal -4 binary64) v))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (*.f64 v v))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) (/.f64 v (/.f64 #s(literal -4 binary64) v))))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 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 v (*.f64 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 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (*.f64 v v) #s(literal 16 binary64)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) (+.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 v (/.f64 v #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -16 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 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.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 v (*.f64 v #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 v (/.f64 v #s(literal 4 binary64))))))
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(*.f64 (*.f64 v #s(literal 3 binary64)) v)
(*.f64 (*.f64 v #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) v))
(*.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))))
(*.f64 (neg.f64 (*.f64 v #s(literal -3 binary64))) v)
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(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) v) #s(literal -3 binary64)) v)
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 v #s(literal -3 binary64))) v)

simplify253.0ms (3%)

Algorithm
1×egg-herbie
Rules
4064×*-lowering-*.f32
4064×*-lowering-*.f64
4046×+-lowering-+.f64
4046×+-lowering-+.f32
1880×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02701756
19021598
239111470
085331470
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -1/4 (sqrt 2)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (* 3/8 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (+ (* 3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (sqrt 2)) (* 9/32 (sqrt 2)))))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(* -1/4 (* (pow v 3) (sqrt -3)))
(* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (* 1/4 (/ (sqrt -3) (pow v 2)))) (/ 1/8 (* (pow v 2) (sqrt -3)))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))) (/ 1/8 (* (pow v 2) (sqrt -3)))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt -3) 5))) (* 1/32 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))) (/ 1/8 (* (pow v 2) (sqrt -3)))))
(* 1/4 (* (pow v 3) (sqrt -3)))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (* 1/4 (/ (sqrt -3) (pow v 2)))) (/ 1/8 (* (pow v 2) (sqrt -3))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))) (/ 1/8 (* (pow v 2) (sqrt -3))))))
(* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt -3) 5))) (* 1/32 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))) (/ 1/8 (* (pow v 2) (sqrt -3))))))
1
(+ 1 (* -3/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(* v (sqrt -3))
(* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))
(* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))
(* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (sqrt -3)))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -1/4 (sqrt 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (* 3/8 (sqrt 2))))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (+ (* 3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (sqrt 2)) (* 9/32 (sqrt 2)))))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v #s(literal -1/4 binary64))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64)))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 (+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -1/32 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal -1/64 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
(*.f64 (+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))
(*.f64 (+.f64 (+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -1/32 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal -1/64 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -5/8 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))))
(* -1/4 (* (pow v 3) (sqrt -3)))
(*.f64 #s(literal -1/4 binary64) (*.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (* 1/4 (/ (sqrt -3) (pow v 2)))) (/ 1/8 (* (pow v 2) (sqrt -3)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v))) (/.f64 #s(literal -1/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))) (/ 1/8 (* (pow v 2) (sqrt -3)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v))) (/.f64 #s(literal -1/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt -3) 5))) (* 1/32 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))) (/ 1/8 (* (pow v 2) (sqrt -3)))))
(*.f64 (*.f64 v (*.f64 v v)) (-.f64 (+.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v v))) (/.f64 #s(literal -1/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))) (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64)))))
(* 1/4 (* (pow v 3) (sqrt -3)))
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(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* 3 (pow v 2))
(*.f64 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)))

eval72.0ms (0.9%)

Compiler

Compiled 19549 to 1455 computations (92.6% saved)

prune93.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New6106616
Fresh000
Picked112
Done000
Total6117618
Accuracy
100.0%
Counts
618 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(+.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 v v) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))
98.5%
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 v (/.f64 v #s(literal 4 binary64))))))
✓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)))
▶98.8%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
▶99.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))))
▶99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
▶97.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Compiler

Compiled 238 to 168 computations (29.4% saved)

simplify106.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -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))))
✓cost-diff6784
(+.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 v v) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))
✓cost-diff0
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
✓cost-diff0
(*.f64 (*.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))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓cost-diff0
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))))
Rules
2842×fma-define
2328×fma-lowering-fma.f32
2328×fma-lowering-fma.f64
898×*-lowering-*.f32
898×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030292
1107258
2404258
31290258
42767258
52956258
63006258
73006258
83621258
93621258
03621258
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (sqrt 2) (+ 1/4 (* v (* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64))))))))
(sqrt 2)
2
(+ 1/4 (* v (* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64)))))))
1/4
(* v (* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64))))))
v
(* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64)))))
(+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64))))
-5/8
(* (* v v) (+ 3/32 (* (* v v) -9/64)))
(* v v)
(+ 3/32 (* (* v v) -9/64))
3/32
(* (* v v) -9/64)
-9/64
(* (sqrt 2) 1/4)
(sqrt 2)
2
1/4
(* (sqrt 2) (+ 1/4 (* (* v v) -5/8)))
(sqrt 2)
2
(+ 1/4 (* (* v v) -5/8))
1/4
(* (* v v) -5/8)
(* v v)
v
-5/8
(* (sqrt 2) (+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32))))))
(sqrt 2)
2
(+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32)))))
1/4
(* v (* v (+ -5/8 (* (* v v) 3/32))))
v
(* v (+ -5/8 (* (* v v) 3/32)))
(+ -5/8 (* (* v v) 3/32))
-5/8
(* (* v v) 3/32)
(* v v)
3/32
(+ (* (sqrt 2) (+ 1/4 (* (* v v) -5/8))) (* (* v v) (* (* v v) (* (sqrt 2) (+ 3/32 (* (* v v) -9/64))))))
(* (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
(* (* v v) (* (* v v) (* (sqrt 2) (+ 3/32 (* (* v v) -9/64)))))
(* (* v v) (* (sqrt 2) (+ 3/32 (* (* v v) -9/64))))
(* (sqrt 2) (+ 3/32 (* (* v v) -9/64)))
(+ 3/32 (* (* v v) -9/64))
3/32
(* (* v v) -9/64)
-9/64
Outputs
(* (sqrt 2) (+ 1/4 (* v (* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64))))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1/4 (* v (* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64)))))))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))))
1/4
#s(literal 1/4 binary64)
(* v (* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64))))))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))))
v
(* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64)))))
(*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))
(+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64))))
(+.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))
-5/8
#s(literal -5/8 binary64)
(* (* v v) (+ 3/32 (* (* v v) -9/64)))
(*.f64 v (*.f64 v (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))
(* v v)
(*.f64 v v)
(+ 3/32 (* (* v v) -9/64))
(+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))
3/32
#s(literal 3/32 binary64)
(* (* v v) -9/64)
(*.f64 (*.f64 v v) #s(literal -9/64 binary64))
-9/64
#s(literal -9/64 binary64)
(* (sqrt 2) 1/4)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/4
#s(literal 1/4 binary64)
(* (sqrt 2) (+ 1/4 (* (* v v) -5/8)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(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 #s(literal -5/8 binary64) (*.f64 v v)))
1/4
#s(literal 1/4 binary64)
(* (* v v) -5/8)
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* v v)
(*.f64 v v)
v
-5/8
#s(literal -5/8 binary64)
(* (sqrt 2) (+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32)))))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
1/4
#s(literal 1/4 binary64)
(* v (* v (+ -5/8 (* (* v v) 3/32))))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))
v
(* v (+ -5/8 (* (* v v) 3/32)))
(*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
(+ -5/8 (* (* v v) 3/32))
(+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))
-5/8
#s(literal -5/8 binary64)
(* (* v v) 3/32)
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* v v)
(*.f64 v v)
3/32
#s(literal 3/32 binary64)
(+ (* (sqrt 2) (+ 1/4 (* (* v v) -5/8))) (* (* v v) (* (* v v) (* (sqrt 2) (+ 3/32 (* (* v v) -9/64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))))))
(* (sqrt 2) (+ 1/4 (* (* v v) -5/8)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(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 #s(literal -5/8 binary64) (*.f64 v v)))
1/4
#s(literal 1/4 binary64)
(* (* v v) -5/8)
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* v v)
(*.f64 v v)
v
-5/8
#s(literal -5/8 binary64)
(* (* v v) (* (* v v) (* (sqrt 2) (+ 3/32 (* (* v v) -9/64)))))
(*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))))
(* (* v v) (* (sqrt 2) (+ 3/32 (* (* v v) -9/64))))
(*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))) (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)))
(* (sqrt 2) (+ 3/32 (* (* v v) -9/64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))
(+ 3/32 (* (* v v) -9/64))
(+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))
3/32
#s(literal 3/32 binary64)
(* (* v v) -9/64)
(*.f64 (*.f64 v v) #s(literal -9/64 binary64))
-9/64
#s(literal -9/64 binary64)

localize174.0ms (2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))
✓accuracy99.9%
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
✓accuracy99.5%
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))
✓accuracy98.5%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
✓accuracy99.9%
(*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
✓accuracy99.8%
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
✓accuracy100.0%
(*.f64 v v)
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓accuracy99.9%
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.9%
(*.f64 (*.f64 v v) #s(literal -9/64 binary64))
✓accuracy99.9%
(*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))
✓accuracy99.8%
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))
✓accuracy99.8%
(*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))
Results
83.0ms237×0valid
13.0ms9×3valid
6.0ms6×2valid
3.0ms4×1valid
Compiler

Compiled 348 to 31 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 30.0ms (59.5% of total)
ival-add: 10.0ms (19.8% of total)
ival-sqrt: 7.0ms (13.9% of total)
backward-pass: 3.0ms (5.9% of total)
const: 1.0ms (2% of total)

series15.0ms (0.2%)

Counts
21 → 228
Calls
Call 1
Inputs
#<alt (* (sqrt 2) (+ 1/4 (* v (* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64))))))))>
#<alt (sqrt 2)>
#<alt (+ 1/4 (* v (* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64)))))))>
#<alt (* v (* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64))))))>
#<alt (* (sqrt 2) 1/4)>
#<alt (* (sqrt 2) (+ 1/4 (* (* v v) -5/8)))>
#<alt (+ 1/4 (* (* v v) -5/8))>
#<alt (* (* v v) -5/8)>
#<alt (* (sqrt 2) (+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32))))))>
#<alt (+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32)))))>
#<alt (* v (* v (+ -5/8 (* (* v v) 3/32))))>
#<alt (+ (* (sqrt 2) (+ 1/4 (* (* v v) -5/8))) (* (* v v) (* (* v v) (* (sqrt 2) (+ 3/32 (* (* v v) -9/64))))))>
#<alt (* (* v v) (+ 3/32 (* (* v v) -9/64)))>
#<alt (* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64)))))>
#<alt (* (* v v) -9/64)>
#<alt (* v v)>
#<alt (* (* v v) 3/32)>
#<alt (* v (+ -5/8 (* (* v v) 3/32)))>
#<alt (* (sqrt 2) (+ 3/32 (* (* v v) -9/64)))>
#<alt (* (* v v) (* (sqrt 2) (+ 3/32 (* (* v v) -9/64))))>
#<alt (* (* v v) (* (* v v) (* (sqrt 2) (+ 3/32 (* (* v v) -9/64)))))>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))>
#<alt (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (* 3/32 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* 3/32 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (* 3/32 (pow v 4))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* 3/32 (pow v 4))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* 3/32 (pow v 4))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* 3/32 (pow v 4))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))>
#<alt (* 3/32 (pow v 2))>
#<alt (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))>
#<alt (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))>
#<alt (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))>
#<alt (* -9/64 (pow v 4))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* -9/64 (pow v 4))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* -5/8 v)>
#<alt (* v (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* v (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))>
#<alt (* v (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))>
#<alt (* -9/64 (pow v 5))>
#<alt (* (pow v 5) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 5) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 5) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* -9/64 (pow v 5))>
#<alt (* -1 (* (pow v 5) (- 9/64 (* 3/32 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 5) (- (+ 9/64 (/ 5/8 (pow v 4))) (* 3/32 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 5) (- (+ 9/64 (/ 5/8 (pow v 4))) (* 3/32 (/ 1 (pow v 2))))))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (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 (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* -5/8 v)>
#<alt (* v (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* v (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* v (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* 3/32 (pow v 3))>
#<alt (* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* 3/32 (pow v 3))>
#<alt (* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))>
#<alt (* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))>
#<alt (* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))>
#<alt (* 3/32 (sqrt 2))>
#<alt (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))>
#<alt (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))>
#<alt (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))>
#<alt (* -9/64 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -9/64 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* 3/32 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))>
#<alt (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))>
#<alt (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))>
#<alt (* -9/64 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -9/64 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* 3/32 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
v
@inf
(* (* v v) -5/8)
2.0ms
v
@inf
(* (sqrt 2) (+ 1/4 (* v (* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64))))))))
0.0ms
v
@inf
(* (sqrt 2) (+ 1/4 (* (* v v) -5/8)))
0.0ms
v
@0
(* (sqrt 2) (+ 1/4 (* v (* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64))))))))
0.0ms
v
@inf
(* v (* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64))))))

rewrite363.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
4638×*-lowering-*.f32
4638×*-lowering-*.f64
3136×fma-lowering-fma.f32
3136×fma-lowering-fma.f64
2290×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030208
1195180
21846180
08783180
Stop Event
1×iter limit
1×node limit
Counts
21 → 373
Calls
Call 1
Inputs
(* (sqrt 2) (+ 1/4 (* v (* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64))))))))
(sqrt 2)
(+ 1/4 (* v (* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64)))))))
(* v (* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64))))))
(* (sqrt 2) 1/4)
(* (sqrt 2) (+ 1/4 (* (* v v) -5/8)))
(+ 1/4 (* (* v v) -5/8))
(* (* v v) -5/8)
(* (sqrt 2) (+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32))))))
(+ 1/4 (* v (* v (+ -5/8 (* (* v v) 3/32)))))
(* v (* v (+ -5/8 (* (* v v) 3/32))))
(+ (* (sqrt 2) (+ 1/4 (* (* v v) -5/8))) (* (* v v) (* (* v v) (* (sqrt 2) (+ 3/32 (* (* v v) -9/64))))))
(* (* v v) (+ 3/32 (* (* v v) -9/64)))
(* v (+ -5/8 (* (* v v) (+ 3/32 (* (* v v) -9/64)))))
(* (* v v) -9/64)
(* v v)
(* (* v v) 3/32)
(* v (+ -5/8 (* (* v v) 3/32)))
(* (sqrt 2) (+ 3/32 (* (* v v) -9/64)))
(* (* v v) (* (sqrt 2) (+ 3/32 (* (* v v) -9/64))))
(* (* v v) (* (* v v) (* (sqrt 2) (+ 3/32 (* (* v v) -9/64)))))
Outputs
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.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 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 v (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 v v) (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (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)) (*.f64 v v)) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
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(/.f64 (*.f64 v (+.f64 #s(literal -125/512 binary64) (*.f64 #s(literal 27/32768 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))) (+.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) #s(literal -5/8 binary64)))))
(/.f64 (*.f64 v (-.f64 #s(literal 25/64 binary64) (*.f64 #s(literal 9/1024 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (+.f64 #s(literal -5/8 binary64) (*.f64 #s(literal -3/32 binary64) (*.f64 v v))))
(/.f64 (*.f64 (+.f64 #s(literal -125/512 binary64) (*.f64 #s(literal 27/32768 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) v) (+.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 3/32 binary64)) #s(literal -5/8 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 25/64 binary64) (*.f64 #s(literal 9/1024 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) v) (+.f64 #s(literal -5/8 binary64) (*.f64 #s(literal -3/32 binary64) (*.f64 v v))))
(*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
(*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))) v)
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) (*.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64) (*.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v #s(literal -9/64 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)))
(fma.f64 v (*.f64 (*.f64 v #s(literal -9/64 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)))
(fma.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)))
(fma.f64 #s(literal 3/32 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -9/64 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)))
(fma.f64 (*.f64 v (*.f64 v #s(literal -9/64 binary64))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal -9/64 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 v #s(literal -9/64 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/64 binary64)) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 27/32768 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -729/262144 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) (*.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) (*.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 27/32768 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -729/262144 binary64))))) (+.f64 #s(literal 9/1024 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -9/64 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -9/64 binary64))) #s(literal 3/32 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 9/1024 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 81/4096 binary64)))) (+.f64 #s(literal 3/32 binary64) (*.f64 #s(literal 9/64 binary64) (*.f64 v v))))
(/.f64 (*.f64 (+.f64 #s(literal 27/32768 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -729/262144 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 9/1024 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -9/64 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -9/64 binary64))) #s(literal 3/32 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 9/1024 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 81/4096 binary64))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 3/32 binary64) (*.f64 #s(literal 9/64 binary64) (*.f64 v v))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
(*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal 3/32 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal 3/32 binary64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) (*.f64 v v)) (*.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))
(+.f64 (*.f64 #s(literal 3/32 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v #s(literal -9/64 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(+.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -9/64 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) (*.f64 #s(literal 3/32 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal 3/32 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v #s(literal -9/64 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(fma.f64 (*.f64 v (*.f64 v #s(literal -9/64 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 #s(literal 3/32 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) (*.f64 v v) (*.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal 3/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 v (*.f64 v #s(literal -9/64 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) #s(literal 3/32 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 #s(literal 27/32768 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -729/262144 binary64))))) (+.f64 #s(literal 9/1024 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -9/64 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -9/64 binary64))) #s(literal 3/32 binary64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (-.f64 #s(literal 9/1024 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 81/4096 binary64)))) (+.f64 #s(literal 3/32 binary64) (*.f64 #s(literal 9/64 binary64) (*.f64 v v))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))
(*.f64 v (*.f64 (*.f64 v (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))
(*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))
(*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))) (*.f64 v v))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
(*.f64 (*.f64 (*.f64 v (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))) (sqrt.f64 #s(literal 2 binary64))) v)
(+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64))) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))
(fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 v (*.f64 v (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
(*.f64 (*.f64 v v) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))) (*.f64 v (*.f64 v (*.f64 v v))))
(*.f64 (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) (*.f64 v v))
(*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))
(*.f64 (*.f64 v (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))) v)
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
(*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
(*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))) (sqrt.f64 #s(literal 2 binary64)))

simplify275.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
3574×*-lowering-*.f32
3574×*-lowering-*.f64
1912×sum3-define
1708×sum4-define
1644×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01252426
13782042
211321972
334291908
467151908
083761908
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))
(* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))
(* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(* 3/32 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* 3/32 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(* 3/32 (pow v 4))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))
(* 3/32 (pow v 4))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))
(* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))
(* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))
(* 3/32 (pow v 4))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* 3/32 (pow v 4))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))
(* 3/32 (pow v 2))
(* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))
(* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))
(* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))
(* -9/64 (pow v 4))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* -9/64 (pow v 4))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* -5/8 v)
(* v (- (* 3/32 (pow v 2)) 5/8))
(* v (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))
(* v (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))
(* -9/64 (pow v 5))
(* (pow v 5) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 5) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 5) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* -9/64 (pow v 5))
(* -1 (* (pow v 5) (- 9/64 (* 3/32 (/ 1 (pow v 2))))))
(* -1 (* (pow v 5) (- (+ 9/64 (/ 5/8 (pow v 4))) (* 3/32 (/ 1 (pow v 2))))))
(* -1 (* (pow v 5) (- (+ 9/64 (/ 5/8 (pow v 4))) (* 3/32 (/ 1 (pow v 2))))))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (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)
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* -5/8 v)
(* v (- (* 3/32 (pow v 2)) 5/8))
(* v (- (* 3/32 (pow v 2)) 5/8))
(* v (- (* 3/32 (pow v 2)) 5/8))
(* 3/32 (pow v 3))
(* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* 3/32 (pow v 3))
(* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))
(* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))
(* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))
(* 3/32 (sqrt 2))
(+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))
(+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))
(+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))
(* -9/64 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* -9/64 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* 3/32 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))
(* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))
(* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))
(* -9/64 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* -9/64 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* 3/32 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))
(* (pow v 4) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))
(* (pow v 4) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 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))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64))))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v)))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v))) (/.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64))))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v)))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v))) (/.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -5/8 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
(* -9/64 (pow v 6))
(*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v))) (/.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* -9/64 (pow v 6))
(*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v))) (/.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))
(*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
(* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))
(*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))
(* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))
(*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))
(* -9/64 (pow v 6))
(*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v))) (/.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v))) (/.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))
(* -9/64 (pow v 6))
(*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v))) (/.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v))) (/.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #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 (sqrt.f64 #s(literal 2 binary64)) v)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 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 #s(literal 1/4 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 #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 (sqrt.f64 #s(literal 2 binary64)) v)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 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 #s(literal 1/4 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 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -5/8 (pow v 2)))
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(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* 3/32 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 3/32 binary64))
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* v (- (* 3/32 (pow v 2)) 5/8))
(*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
(* v (- (* 3/32 (pow v 2)) 5/8))
(*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
(* v (- (* 3/32 (pow v 2)) 5/8))
(*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))
(* 3/32 (pow v 3))
(*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))
(* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(* (pow v 3) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(* 3/32 (pow v 3))
(*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))
(* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(* -1 (* (pow v 3) (- (* 5/8 (/ 1 (pow v 2))) 3/32)))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(* 3/32 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64))
(+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
(+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
(+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
(* -9/64 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) #s(literal -9/64 binary64))
(* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
(* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
(* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
(* -9/64 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) #s(literal -9/64 binary64))
(* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
(* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
(* (pow v 2) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
(* 3/32 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) #s(literal 3/32 binary64))
(* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))
(*.f64 v (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))
(* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))
(*.f64 v (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))
(* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))
(*.f64 v (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))
(* -9/64 (* (pow v 4) (sqrt 2)))
(*.f64 #s(literal -9/64 binary64) (*.f64 v (*.f64 v (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)))))
(* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 v (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))
(* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 v (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))
(* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 v (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))
(* -9/64 (* (pow v 4) (sqrt 2)))
(*.f64 #s(literal -9/64 binary64) (*.f64 v (*.f64 v (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)))))
(* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 v (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))
(* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 v (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))
(* (pow v 4) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 v (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))
(* 3/32 (* (pow v 4) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))
(* (pow v 4) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v v)))))
(* (pow v 4) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v v)))))
(* (pow v 4) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v v)))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64))))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v)))))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v)))))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v)))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64))))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v)))))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v)))))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 v v)))))

eval110.0ms (1.3%)

Compiler

Compiled 26529 to 1739 computations (93.4% saved)

prune79.0ms (0.9%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New8584862
Fresh011
Picked145
Done011
Total85910869
Accuracy
100.0%
Counts
869 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 v (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
▶98.5%
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 v (/.f64 v #s(literal 4 binary64))))))
✓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)))
▶99.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))) (+.f64 (*.f64 v (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) v) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))))
▶99.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (-.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))))))
✓98.8%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓99.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))))
✓99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
▶22.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 v v)))))
✓97.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Compiler

Compiled 738 to 285 computations (61.4% saved)

simplify383.0ms (4.5%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.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)))))
✓cost-diff0
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff6528
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (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))))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (-.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (-.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))))))
✓cost-diff128
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (-.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))))))
✓cost-diff0
(*.f64 v (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
✓cost-diff0
(-.f64 #s(literal 1/16 binary64) (*.f64 v (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))
✓cost-diff0
(*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 v (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 v (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
✓cost-diff0
(*.f64 v (*.f64 v (*.f64 v v)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff512
(*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 v v))))
✓cost-diff512
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 v v)))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff1152
(+.f64 (*.f64 v (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) v) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))
✓cost-diff1152
(/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))) (+.f64 (*.f64 v (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) v) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))))
✓cost-diff1152
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))) (+.f64 (*.f64 v (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) v) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))))
Rules
4742×*-lowering-*.f32
4742×*-lowering-*.f64
2268×+-lowering-+.f64
2268×+-lowering-+.f32
1494×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0611293
1208975
2997959
36001931
08318931
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt 2) (/ (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))) (+ (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))) (- 1/16 (* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))))
(sqrt 2)
2
(/ (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))) (+ (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))) (- 1/16 (* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))))
(+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))))
1/64
(* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))
(* v (* v v))
v
(* v v)
(* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))
(* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))
(+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))
-5/8
(* (* v v) (+ 3/32 (* v (* v -9/64))))
(+ 3/32 (* v (* v -9/64)))
3/32
(* v (* v -9/64))
(* v -9/64)
-9/64
(* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))
(+ (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))) (- 1/16 (* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))
(* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))
(* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))
(* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))
(- 1/16 (* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))
1/16
(* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))
(* 1/4 v)
1/4
(* (sqrt 2) (* (* v (* v (* v v))) (+ (+ 3/32 (/ -5/8 (* v v))) (/ (/ 1/4 (* v v)) (* v v)))))
(sqrt 2)
2
(* (* v (* v (* v v))) (+ (+ 3/32 (/ -5/8 (* v v))) (/ (/ 1/4 (* v v)) (* v v))))
(* v (* v (* v v)))
v
(* v (* v v))
(* v v)
(+ (+ 3/32 (/ -5/8 (* v v))) (/ (/ 1/4 (* v v)) (* v v)))
(+ 3/32 (/ -5/8 (* v v)))
3/32
(/ -5/8 (* v v))
-5/8
(/ (/ 1/4 (* v v)) (* v v))
(/ 1/4 (* v v))
1/4
(/ (* (- 1/16 (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))) (sqrt 2)) (- 1/4 (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))
(* (- 1/16 (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))) (sqrt 2))
(- 1/16 (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))
1/16
(* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))
v
(* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))
(* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))
(+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))
-5/8
(* (* v v) (+ 3/32 (* v (* v -9/64))))
(* v v)
(+ 3/32 (* v (* v -9/64)))
3/32
(* v (* v -9/64))
(* v -9/64)
-9/64
(* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))
(sqrt 2)
2
(- 1/4 (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))
1/4
(* (sqrt 2) (/ 1 (/ (+ 1/16 (* (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (- (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) 1/4))) (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))))))
(sqrt 2)
2
(/ 1 (/ (+ 1/16 (* (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (- (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) 1/4))) (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))))))
1
(/ (+ 1/16 (* (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (- (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) 1/4))) (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))))
(+ 1/16 (* (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (- (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) 1/4)))
1/16
(* (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (- (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) 1/4))
(* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))
(* v v)
v
(+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))
-5/8
(* (* v v) (+ 3/32 (* v (* v -9/64))))
(+ 3/32 (* v (* v -9/64)))
3/32
(* v (* v -9/64))
(* v -9/64)
-9/64
(- (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) 1/4)
1/4
(+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))))
1/64
(* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))
(* v (* v v))
(* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))
(* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))
(* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))
(* (pow (pow 2 1/4) 2) (* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4)))))
(pow (pow 2 1/4) 2)
(pow 2 1/4)
2
1/4
(* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4))))
(sqrt (+ 1 (* (* v v) -3)))
(+ 1 (* (* v v) -3))
1
(* (* v v) -3)
(* v v)
v
-3
(- 1/4 (* v (/ v 4)))
(* v (/ v 4))
(/ v 4)
4
Outputs
(* (sqrt 2) (/ (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))) (+ (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))) (- 1/16 (* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (-.f64 #s(literal 5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))))))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))) (+ (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))) (- 1/16 (* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))))
(/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))))))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (-.f64 #s(literal 5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))))))
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(/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (-.f64 #s(literal 5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))))))))
(+ 1/16 (* (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (- (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) 1/4)))
(-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (-.f64 #s(literal 5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))))
1/16
#s(literal 1/16 binary64)
(* (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (- (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) 1/4))
(*.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))) (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))) #s(literal -1/4 binary64)))
(* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))
(* v v)
(*.f64 v v)
v
(+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))
(+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))
-5/8
#s(literal -5/8 binary64)
(* (* v v) (+ 3/32 (* v (* v -9/64))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))
(+ 3/32 (* v (* v -9/64)))
(+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))
3/32
#s(literal 3/32 binary64)
(* v (* v -9/64))
(*.f64 (*.f64 v v) #s(literal -9/64 binary64))
(* v -9/64)
(*.f64 v #s(literal -9/64 binary64))
-9/64
#s(literal -9/64 binary64)
(- (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) 1/4)
(+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))) #s(literal -1/4 binary64))
1/4
#s(literal 1/4 binary64)
(+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))))
(+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))))))
1/64
#s(literal 1/64 binary64)
(* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))))))
(* v (* v v))
(*.f64 v (*.f64 v v))
(* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))
(*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))))
(* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))
(*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))
(* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))
(*.f64 v (*.f64 v (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64))))))))
(* (pow (pow 2 1/4) 2) (* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
(pow (pow 2 1/4) 2)
(sqrt.f64 #s(literal 2 binary64))
(pow 2 1/4)
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
2
#s(literal 2 binary64)
1/4
#s(literal 1/4 binary64)
(* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))))
(sqrt (+ 1 (* (* v v) -3)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
(+ 1 (* (* v v) -3))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
1
#s(literal 1 binary64)
(* (* v v) -3)
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* v v)
(*.f64 v v)
v
-3
#s(literal -3 binary64)
(- 1/4 (* v (/ v 4)))
(+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))
(* v (/ v 4))
(/.f64 (*.f64 v v) #s(literal 4 binary64))
(/ v 4)
(/.f64 v #s(literal 4 binary64))
4
#s(literal 4 binary64)

localize678.0ms (8%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.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)))))
✓accuracy100.0%
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 v (/.f64 v #s(literal 4 binary64))))))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -3 binary64))
✓accuracy98.4%
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -9/64 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
✓accuracy99.8%
(*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
✓accuracy99.6%
(*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))
✓accuracy99.9%
(*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -9/64 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))
✓accuracy99.8%
(*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
✓accuracy99.8%
(/.f64 #s(literal -5/8 binary64) (*.f64 v v))
✓accuracy99.8%
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
✓accuracy58.6%
(+.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 v v)))
✓accuracy25.7%
(*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 v v))))
✓accuracy99.8%
(*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal 1/4 binary64) v) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))
✓accuracy99.8%
(*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))
✓accuracy99.6%
(*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))
Results
209.0ms237×0valid
34.0ms8×3valid
16.0ms7×2valid
6.0ms4×1valid
Compiler

Compiled 1852 to 62 computations (96.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-mult: 48.0ms (45.4% of total)
ival-div: 15.0ms (14.2% of total)
ival-add: 12.0ms (11.4% of total)
ival-pow: 9.0ms (8.5% of total)
ival-sub: 7.0ms (6.6% of total)
ival-sqrt: 7.0ms (6.6% of total)
backward-pass: 6.0ms (5.7% of total)
const: 2.0ms (1.9% of total)

series24.0ms (0.3%)

Counts
29 → 312
Calls
Call 1
Inputs
#<alt (* (sqrt 2) (/ (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))) (+ (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))) (- 1/16 (* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))))>
#<alt (/ (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))) (+ (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))) (- 1/16 (* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))))>
#<alt (+ (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))) (- 1/16 (* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))>
#<alt (sqrt 2)>
#<alt (* (sqrt 2) (* (* v (* v (* v v))) (+ (+ 3/32 (/ -5/8 (* v v))) (/ (/ 1/4 (* v v)) (* v v)))))>
#<alt (* (* v (* v (* v v))) (+ (+ 3/32 (/ -5/8 (* v v))) (/ (/ 1/4 (* v v)) (* v v))))>
#<alt (* v (* v (* v v)))>
#<alt (/ (* (- 1/16 (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))) (sqrt 2)) (- 1/4 (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))>
#<alt (* (- 1/16 (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))) (sqrt 2))>
#<alt (- 1/16 (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))>
#<alt (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))>
#<alt (* (sqrt 2) (/ 1 (/ (+ 1/16 (* (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (- (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) 1/4))) (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))))))>
#<alt (/ 1 (/ (+ 1/16 (* (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (- (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) 1/4))) (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))))))>
#<alt (/ (+ 1/16 (* (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (- (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) 1/4))) (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))))>
#<alt (* (pow (pow 2 1/4) 2) (* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4)))))>
#<alt (pow (pow 2 1/4) 2)>
#<alt (pow 2 1/4)>
#<alt (* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4))))>
#<alt (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))>
#<alt (* (* v v) (+ 3/32 (* v (* v -9/64))))>
#<alt (* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))>
#<alt (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))>
#<alt (+ (+ 3/32 (/ -5/8 (* v v))) (/ (/ 1/4 (* v v)) (* v v)))>
#<alt (/ 1/4 (* v v))>
#<alt (/ -5/8 (* v v))>
#<alt (* v (* v -9/64))>
#<alt (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))>
#<alt (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))>
#<alt (* (* v v) -3)>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 47/32 (sqrt 2))))) (* 5/8 (sqrt 2)))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -125/32 (sqrt 2)) (+ (* -235/64 (sqrt 2)) (+ (* -5/2 (+ (* -25/16 (sqrt 2)) (* 47/32 (sqrt 2)))) (* -21/64 (sqrt 2)))))) (+ (* -25/16 (sqrt 2)) (* 47/32 (sqrt 2))))) (* 5/8 (sqrt 2)))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2)))) (* 3/16 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2))))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (* 3/16 (/ (sqrt 2) (pow v 2)))))))>
#<alt (* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 9/32 (/ (sqrt 2) (pow v 2))) (* 61/24 (/ (sqrt 2) (pow v 6)))))) (+ (* -4/3 (/ (- (* -33/16 (sqrt 2)) (+ (* -4/3 (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2)))) (* -21/16 (sqrt 2)))) (pow v 6))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (+ (* 7/12 (/ (sqrt 2) (pow v 6))) (* 28/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 6))))))))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2)))) (* 3/16 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2))))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (* 3/16 (/ (sqrt 2) (pow v 2)))))))>
#<alt (* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 9/32 (/ (sqrt 2) (pow v 2))) (* 61/24 (/ (sqrt 2) (pow v 6)))))) (+ (* -4/3 (/ (- (* -33/16 (sqrt 2)) (+ (* -4/3 (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2)))) (* -21/16 (sqrt 2)))) (pow v 6))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (+ (* 7/12 (/ (sqrt 2) (pow v 6))) (* 28/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 6))))))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt 1/16>
#<alt (+ 1/16 (* 5/32 (pow v 2)))>
#<alt (+ 1/16 (* (pow v 2) (+ 5/32 (* 47/128 (pow v 2)))))>
#<alt (+ 1/16 (* (pow v 2) (+ 5/32 (* (pow v 2) (+ 47/128 (* -21/256 (pow v 2)))))))>
#<alt (* 81/4096 (pow v 12))>
#<alt (* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 21/256 (/ 1 (pow v 6))))))>
#<alt (* 81/4096 (pow v 12))>
#<alt (* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 21/256 (/ 1 (pow v 6))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (* 3/32 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* 3/32 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (* 3/32 (pow v 4))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* 3/32 (pow v 4))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* 3/32 (* (pow v 2) (sqrt 2))) (* 5/8 (sqrt 2)))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -9/64 (* (pow v 2) (sqrt 2))) (* -3/32 (sqrt 2)))) (* 5/8 (sqrt 2)))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2)))) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2))))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (* 3/32 (/ (sqrt 2) (pow v 2)))))))>
#<alt (* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (* 5/6 (/ (sqrt 2) (pow v 6)))))) (+ (* -2/3 (/ (- (* -21/16 (sqrt 2)) (+ (* -2/3 (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2)))) (* -5/8 (sqrt 2)))) (pow v 6))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -1/4 (/ (sqrt 2) (pow v 6))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 40/9 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 6))))))))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2)))) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2))))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (* 3/32 (/ (sqrt 2) (pow v 2)))))))>
#<alt (* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (* 5/6 (/ (sqrt 2) (pow v 6)))))) (+ (* -2/3 (/ (- (* -21/16 (sqrt 2)) (+ (* -2/3 (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2)))) (* -5/8 (sqrt 2)))) (pow v 6))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -1/4 (/ (sqrt 2) (pow v 6))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 40/9 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 6))))))))))>
#<alt (* 1/16 (sqrt 2))>
#<alt (+ (* -25/64 (* (pow v 4) (sqrt 2))) (* 1/16 (sqrt 2)))>
#<alt (+ (* 1/16 (sqrt 2)) (* (pow v 4) (+ (* -25/64 (sqrt 2)) (* 15/128 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/16 (sqrt 2)) (* (pow v 4) (+ (* -25/64 (sqrt 2)) (* (pow v 2) (+ (* -189/1024 (* (pow v 2) (sqrt 2))) (* 15/128 (sqrt 2)))))))>
#<alt (* -81/4096 (* (pow v 12) (sqrt 2)))>
#<alt (* (pow v 12) (+ (* -81/4096 (sqrt 2)) (* 27/1024 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 12) (+ (* -189/1024 (/ (sqrt 2) (pow v 4))) (+ (* -81/4096 (sqrt 2)) (* 27/1024 (/ (sqrt 2) (pow v 2))))))>
#<alt (* (pow v 12) (+ (* -189/1024 (/ (sqrt 2) (pow v 4))) (+ (* -81/4096 (sqrt 2)) (+ (* 27/1024 (/ (sqrt 2) (pow v 2))) (* 15/128 (/ (sqrt 2) (pow v 6)))))))>
#<alt (* -81/4096 (* (pow v 12) (sqrt 2)))>
#<alt (* (pow v 12) (+ (* -81/4096 (sqrt 2)) (* 27/1024 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 12) (+ (* -189/1024 (/ (sqrt 2) (pow v 4))) (+ (* -81/4096 (sqrt 2)) (* 27/1024 (/ (sqrt 2) (pow v 2))))))>
#<alt (* (pow v 12) (+ (* -189/1024 (/ (sqrt 2) (pow v 4))) (+ (* -81/4096 (sqrt 2)) (+ (* 27/1024 (/ (sqrt 2) (pow v 2))) (* 15/128 (/ (sqrt 2) (pow v 6)))))))>
#<alt 1/16>
#<alt (+ 1/16 (* -25/64 (pow v 4)))>
#<alt (+ 1/16 (* (pow v 4) (- (* 15/128 (pow v 2)) 25/64)))>
#<alt (+ 1/16 (* (pow v 4) (- (* (pow v 2) (+ 15/128 (* -189/1024 (pow v 2)))) 25/64)))>
#<alt (* -81/4096 (pow v 12))>
#<alt (* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) 81/4096))>
#<alt (* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) (+ 81/4096 (/ 189/1024 (pow v 4)))))>
#<alt (* (pow v 12) (- (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6)))) (+ 81/4096 (/ 189/1024 (pow v 4)))))>
#<alt (* -81/4096 (pow v 12))>
#<alt (* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) 81/4096))>
#<alt (* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) (+ 81/4096 (/ 189/1024 (pow v 4)))))>
#<alt (* (pow v 12) (- (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6)))) (+ 81/4096 (/ 189/1024 (pow v 4)))))>
#<alt (* 25/64 (pow v 4))>
#<alt (* (pow v 4) (+ 25/64 (* -15/128 (pow v 2))))>
#<alt (* (pow v 4) (+ 25/64 (* (pow v 2) (- (* 189/1024 (pow v 2)) 15/128))))>
#<alt (* (pow v 4) (+ 25/64 (* (pow v 2) (- (* (pow v 2) (+ 189/1024 (* -27/1024 (pow v 2)))) 15/128))))>
#<alt (* 81/4096 (pow v 12))>
#<alt (* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))>
#<alt (* 81/4096 (pow v 12))>
#<alt (* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))>
#<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) (- (* -1 (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 47/32 (sqrt 2))))) (* 5/8 (sqrt 2)))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -125/32 (sqrt 2)) (+ (* -235/64 (sqrt 2)) (+ (* -5/2 (+ (* -25/16 (sqrt 2)) (* 47/32 (sqrt 2)))) (* -21/64 (sqrt 2)))))) (+ (* -25/16 (sqrt 2)) (* 47/32 (sqrt 2))))) (* 5/8 (sqrt 2)))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2)))) (* 3/16 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2))))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (* 3/16 (/ (sqrt 2) (pow v 2)))))))>
#<alt (* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 9/32 (/ (sqrt 2) (pow v 2))) (* 61/24 (/ (sqrt 2) (pow v 6)))))) (+ (* -4/3 (/ (- (* -33/16 (sqrt 2)) (+ (* -4/3 (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2)))) (* -21/16 (sqrt 2)))) (pow v 6))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (+ (* 7/12 (/ (sqrt 2) (pow v 6))) (* 28/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 6))))))))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2)))) (* 3/16 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2))))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (* 3/16 (/ (sqrt 2) (pow v 2)))))))>
#<alt (* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 9/32 (/ (sqrt 2) (pow v 2))) (* 61/24 (/ (sqrt 2) (pow v 6)))))) (+ (* -4/3 (/ (- (* -33/16 (sqrt 2)) (+ (* -4/3 (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2)))) (* -21/16 (sqrt 2)))) (pow v 6))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (+ (* 7/12 (/ (sqrt 2) (pow v 6))) (* 28/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 6))))))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt 4>
#<alt (+ 4 (* 10 (pow v 2)))>
#<alt (+ 4 (* (pow v 2) (+ 10 (* 47/2 (pow v 2)))))>
#<alt (+ 4 (* (pow v 2) (+ 10 (* (pow v 2) (+ 47/2 (* 229/4 (pow v 2)))))))>
#<alt (/ -64/9 (pow v 6))>
#<alt (* -1 (/ (+ 64/9 (* 128/27 (/ 1 (pow v 2)))) (pow v 6)))>
#<alt (/ (- (/ 256/9 (pow v 4)) (+ 64/9 (* 128/27 (/ 1 (pow v 2))))) (pow v 6))>
#<alt (/ (- (+ (* 6656/243 (/ 1 (pow v 6))) (/ 256/9 (pow v 4))) (+ 64/9 (* 128/27 (/ 1 (pow v 2))))) (pow v 6))>
#<alt (/ -64/9 (pow v 6))>
#<alt (* -1 (/ (+ 64/9 (* 128/27 (/ 1 (pow v 2)))) (pow v 6)))>
#<alt (/ (- (/ 256/9 (pow v 4)) (+ 64/9 (* 128/27 (/ 1 (pow v 2))))) (pow v 6))>
#<alt (/ (- (+ (* 6656/243 (/ 1 (pow v 6))) (/ 256/9 (pow v 4))) (+ 64/9 (* 128/27 (/ 1 (pow v 2))))) (pow v 6))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -1/4 (sqrt 2)))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (* 3/8 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (+ (* 3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (sqrt 2)) (* 9/32 (sqrt 2)))))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))>
#<alt (* -1/4 (* (pow v 3) (sqrt -3)))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (* 1/4 (/ (sqrt -3) (pow v 2)))) (/ 1/8 (* (pow v 2) (sqrt -3)))))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))) (/ 1/8 (* (pow v 2) (sqrt -3)))))>
#<alt (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt -3) 5))) (* 1/32 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))) (/ 1/8 (* (pow v 2) (sqrt -3)))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -3)))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (* 1/4 (/ (sqrt -3) (pow v 2)))) (/ 1/8 (* (pow v 2) (sqrt -3))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))) (/ 1/8 (* (pow v 2) (sqrt -3))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt -3) 5))) (* 1/32 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))) (/ 1/8 (* (pow v 2) (sqrt -3))))))>
#<alt (* 25/64 (pow v 2))>
#<alt (* (pow v 2) (+ 25/64 (* -15/128 (pow v 2))))>
#<alt (* (pow v 2) (+ 25/64 (* (pow v 2) (- (* 189/1024 (pow v 2)) 15/128))))>
#<alt (* (pow v 2) (+ 25/64 (* (pow v 2) (- (* (pow v 2) (+ 189/1024 (* -27/1024 (pow v 2)))) 15/128))))>
#<alt (* 81/4096 (pow v 10))>
#<alt (* (pow v 10) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 10) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 10) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))>
#<alt (* 81/4096 (pow v 10))>
#<alt (* (pow v 10) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 10) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 10) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))>
#<alt (* 3/32 (pow v 2))>
#<alt (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))>
#<alt (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))>
#<alt (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))>
#<alt (* -9/64 (pow v 4))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* -9/64 (pow v 4))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* -5/32 (pow v 2))>
#<alt (* (pow v 2) (- (* 3/128 (pow v 2)) 5/32))>
#<alt (* (pow v 2) (- (* (pow v 2) (+ 3/128 (* -9/256 (pow v 2)))) 5/32))>
#<alt (* (pow v 2) (- (* (pow v 2) (+ 3/128 (* -9/256 (pow v 2)))) 5/32))>
#<alt (* -9/256 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/128 (/ 1 (pow v 2))) 9/256))>
#<alt (* (pow v 6) (- (* 3/128 (/ 1 (pow v 2))) (+ 9/256 (/ 5/32 (pow v 4)))))>
#<alt (* (pow v 6) (- (* 3/128 (/ 1 (pow v 2))) (+ 9/256 (/ 5/32 (pow v 4)))))>
#<alt (* -9/256 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/128 (/ 1 (pow v 2))) 9/256))>
#<alt (* (pow v 6) (- (* 3/128 (/ 1 (pow v 2))) (+ 9/256 (/ 5/32 (pow v 4)))))>
#<alt (* (pow v 6) (- (* 3/128 (/ 1 (pow v 2))) (+ 9/256 (/ 5/32 (pow v 4)))))>
#<alt (* 25/64 (pow v 3))>
#<alt (* (pow v 3) (+ 25/64 (* -15/128 (pow v 2))))>
#<alt (* (pow v 3) (+ 25/64 (* (pow v 2) (- (* 189/1024 (pow v 2)) 15/128))))>
#<alt (* (pow v 3) (+ 25/64 (* (pow v 2) (- (* (pow v 2) (+ 189/1024 (* -27/1024 (pow v 2)))) 15/128))))>
#<alt (* 81/4096 (pow v 11))>
#<alt (* (pow v 11) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 11) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 11) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))>
#<alt (* 81/4096 (pow v 11))>
#<alt (* -1 (* (pow v 11) (- (* 27/1024 (/ 1 (pow v 2))) 81/4096)))>
#<alt (* -1 (* (pow v 11) (- (* 27/1024 (/ 1 (pow v 2))) (+ 81/4096 (/ 189/1024 (pow v 4))))))>
#<alt (* -1 (* (pow v 11) (- (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6)))) (+ 81/4096 (/ 189/1024 (pow v 4))))))>
#<alt (/ 1/4 (pow v 4))>
#<alt (/ (+ 1/4 (* -5/8 (pow v 2))) (pow v 4))>
#<alt (/ (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))) (pow v 4))>
#<alt (/ (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))) (pow v 4))>
#<alt 3/32>
#<alt (- 3/32 (* 5/8 (/ 1 (pow v 2))))>
#<alt (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2))))>
#<alt (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2))))>
#<alt 3/32>
#<alt (- 3/32 (* 5/8 (/ 1 (pow v 2))))>
#<alt (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2))))>
#<alt (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (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))>
#<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 (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))>
#<alt (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* -125/512 (pow v 3))>
#<alt (* (pow v 3) (- (* 225/2048 (pow v 2)) 125/512))>
#<alt (* (pow v 3) (- (* (pow v 2) (+ 225/2048 (* -1485/8192 (pow v 2)))) 125/512))>
#<alt (* (pow v 3) (- (* (pow v 2) (+ 225/2048 (* (pow v 2) (- (* 1647/32768 (pow v 2)) 1485/8192)))) 125/512))>
#<alt (* -729/262144 (pow v 15))>
#<alt (* (pow v 15) (- (* 729/131072 (/ 1 (pow v 2))) 729/262144))>
#<alt (* (pow v 15) (- (* 729/131072 (/ 1 (pow v 2))) (+ 729/262144 (/ 2673/65536 (pow v 4)))))>
#<alt (* (pow v 15) (- (+ (* 729/131072 (/ 1 (pow v 2))) (* 1647/32768 (/ 1 (pow v 6)))) (+ 729/262144 (/ 2673/65536 (pow v 4)))))>
#<alt (* -729/262144 (pow v 15))>
#<alt (* -1 (* (pow v 15) (- 729/262144 (* 729/131072 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 15) (- (+ 729/262144 (/ 2673/65536 (pow v 4))) (* 729/131072 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 15) (- (+ 729/262144 (/ 2673/65536 (pow v 4))) (+ (* 729/131072 (/ 1 (pow v 2))) (* 1647/32768 (/ 1 (pow v 6)))))))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
Calls

78 calls:

TimeVariablePointExpression
3.0ms
v
@inf
(* (sqrt 2) (/ (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))) (+ (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))) (- 1/16 (* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))))
3.0ms
v
@inf
(/ (* (- 1/16 (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))) (sqrt 2)) (- 1/4 (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))
1.0ms
v
@0
(* (sqrt 2) (/ (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))) (+ (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))) (- 1/16 (* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))))
1.0ms
v
@0
(* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))
1.0ms
v
@0
(/ (* (- 1/16 (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))) (sqrt 2)) (- 1/4 (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))

rewrite423.0ms (5%)

Algorithm
1×batch-egg-rewrite
Rules
4616×*-lowering-*.f32
4616×*-lowering-*.f64
1744×/-lowering-/.f32
1744×/-lowering-/.f64
1456×unpow-prod-down
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061733
1434426
24423424
08299424
Stop Event
1×iter limit
1×node limit
Counts
29 → 614
Calls
Call 1
Inputs
(* (sqrt 2) (/ (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))) (+ (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))) (- 1/16 (* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))))
(/ (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))) (+ (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))) (- 1/16 (* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))))
(+ (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))) (- 1/16 (* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))
(sqrt 2)
(* (sqrt 2) (* (* v (* v (* v v))) (+ (+ 3/32 (/ -5/8 (* v v))) (/ (/ 1/4 (* v v)) (* v v)))))
(* (* v (* v (* v v))) (+ (+ 3/32 (/ -5/8 (* v v))) (/ (/ 1/4 (* v v)) (* v v))))
(* v (* v (* v v)))
(/ (* (- 1/16 (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))) (sqrt 2)) (- 1/4 (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))
(* (- 1/16 (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))) (sqrt 2))
(- 1/16 (* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))
(* v (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))
(* (sqrt 2) (/ 1 (/ (+ 1/16 (* (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (- (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) 1/4))) (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))))))
(/ 1 (/ (+ 1/16 (* (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (- (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) 1/4))) (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))))))
(/ (+ 1/16 (* (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (- (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) 1/4))) (+ 1/64 (* (* v (* v v)) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))))))
(* (pow (pow 2 1/4) 2) (* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4)))))
(pow (pow 2 1/4) 2)
(pow 2 1/4)
(* (sqrt (+ 1 (* (* v v) -3))) (- 1/4 (* v (/ v 4))))
(* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))
(* (* v v) (+ 3/32 (* v (* v -9/64))))
(* (* 1/4 v) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))
(* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))
(+ (+ 3/32 (/ -5/8 (* v v))) (/ (/ 1/4 (* v v)) (* v v)))
(/ 1/4 (* v v))
(/ -5/8 (* v v))
(* v (* v -9/64))
(* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))
(* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))) (* v (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))
(* (* v v) -3)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) #s(literal 1/4 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (*.f64 v v))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (*.f64 v v)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (*.f64 v v)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
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(/.f64 (/.f64 #s(literal -5/8 binary64) v) v)
(/.f64 (neg.f64 (/.f64 #s(literal -5/8 binary64) v)) (-.f64 #s(literal 0 binary64) v))
(pow.f64 (/.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 v (/.f64 #s(literal -5/8 binary64) v)) #s(literal -1 binary64))
(*.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(*.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -5/8 binary64))
(*.f64 (/.f64 #s(literal -5/8 binary64) v) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal -5/8 binary64) v))
(*.f64 v (*.f64 v #s(literal -9/64 binary64)))
(*.f64 (*.f64 v v) #s(literal -9/64 binary64))
(*.f64 #s(literal -9/64 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal -9/64 binary64)) v)
(+.f64 (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))
(+.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))
(/.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -125/512 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))))) (+.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))) (-.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))) #s(literal -5/8 binary64)))))
(/.f64 (*.f64 (*.f64 v v) (-.f64 #s(literal 25/64 binary64) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v (*.f64 v v))))))) (-.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125/512 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v (*.f64 v v))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))) (-.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v (*.f64 v v))))))
(/.f64 (*.f64 (+.f64 #s(literal -125/512 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v (*.f64 v v))))))) (*.f64 v v)) (+.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))) (-.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))) #s(literal -5/8 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 25/64 binary64) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 v v)) (-.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))
(*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))
(*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v v))
(*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) v)
(+.f64 (*.f64 (*.f64 v (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))) (*.f64 v #s(literal -5/8 binary64))) (*.f64 (*.f64 v (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))) (*.f64 v (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))
(+.f64 (*.f64 (*.f64 v #s(literal -5/8 binary64)) (*.f64 v (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))) (*.f64 (*.f64 v (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) #s(literal 3 binary64)))
(pow.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) #s(literal 3 binary64))
(*.f64 v (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))))
(*.f64 (*.f64 v v) (*.f64 (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
(*.f64 (*.f64 v (*.f64 v v)) (pow.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) #s(literal 3 binary64)))
(*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 (*.f64 v v) (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))
(*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))
(*.f64 (*.f64 v (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))
(*.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))
(*.f64 (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (*.f64 v v))) (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))
(*.f64 (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (*.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))) v)
(*.f64 (pow.f64 (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))) #s(literal 3 binary64)) (*.f64 v (*.f64 v v)))
(*.f64 (pow.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) #s(literal 3/2 binary64)))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 v v))
(*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v #s(literal -3 binary64)) v)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -3 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) v) (*.f64 v #s(literal -3 binary64)))

simplify362.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
4604×*-lowering-*.f32
4604×*-lowering-*.f64
4188×+-lowering-+.f64
4188×+-lowering-+.f32
1638×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05494854
117134265
263514247
084644247
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 47/32 (sqrt 2))))) (* 5/8 (sqrt 2)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -125/32 (sqrt 2)) (+ (* -235/64 (sqrt 2)) (+ (* -5/2 (+ (* -25/16 (sqrt 2)) (* 47/32 (sqrt 2)))) (* -21/64 (sqrt 2)))))) (+ (* -25/16 (sqrt 2)) (* 47/32 (sqrt 2))))) (* 5/8 (sqrt 2)))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2)))) (* 3/16 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2))))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (* 3/16 (/ (sqrt 2) (pow v 2)))))))
(* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 9/32 (/ (sqrt 2) (pow v 2))) (* 61/24 (/ (sqrt 2) (pow v 6)))))) (+ (* -4/3 (/ (- (* -33/16 (sqrt 2)) (+ (* -4/3 (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2)))) (* -21/16 (sqrt 2)))) (pow v 6))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (+ (* 7/12 (/ (sqrt 2) (pow v 6))) (* 28/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 6))))))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2)))) (* 3/16 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2))))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (* 3/16 (/ (sqrt 2) (pow v 2)))))))
(* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 9/32 (/ (sqrt 2) (pow v 2))) (* 61/24 (/ (sqrt 2) (pow v 6)))))) (+ (* -4/3 (/ (- (* -33/16 (sqrt 2)) (+ (* -4/3 (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2)))) (* -21/16 (sqrt 2)))) (pow v 6))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (+ (* 7/12 (/ (sqrt 2) (pow v 6))) (* 28/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 6))))))))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
1/16
(+ 1/16 (* 5/32 (pow v 2)))
(+ 1/16 (* (pow v 2) (+ 5/32 (* 47/128 (pow v 2)))))
(+ 1/16 (* (pow v 2) (+ 5/32 (* (pow v 2) (+ 47/128 (* -21/256 (pow v 2)))))))
(* 81/4096 (pow v 12))
(* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 21/256 (/ 1 (pow v 6))))))
(* 81/4096 (pow v 12))
(* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 21/256 (/ 1 (pow v 6))))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(* 3/32 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* 3/32 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(* 3/32 (pow v 4))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))
(* 3/32 (pow v 4))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* 3/32 (* (pow v 2) (sqrt 2))) (* 5/8 (sqrt 2)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -9/64 (* (pow v 2) (sqrt 2))) (* -3/32 (sqrt 2)))) (* 5/8 (sqrt 2)))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2)))) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2))))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (* 3/32 (/ (sqrt 2) (pow v 2)))))))
(* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (* 5/6 (/ (sqrt 2) (pow v 6)))))) (+ (* -2/3 (/ (- (* -21/16 (sqrt 2)) (+ (* -2/3 (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2)))) (* -5/8 (sqrt 2)))) (pow v 6))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -1/4 (/ (sqrt 2) (pow v 6))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 40/9 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 6))))))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2)))) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2))))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (* 3/32 (/ (sqrt 2) (pow v 2)))))))
(* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (* 5/6 (/ (sqrt 2) (pow v 6)))))) (+ (* -2/3 (/ (- (* -21/16 (sqrt 2)) (+ (* -2/3 (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2)))) (* -5/8 (sqrt 2)))) (pow v 6))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -1/4 (/ (sqrt 2) (pow v 6))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 40/9 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 6))))))))))
(* 1/16 (sqrt 2))
(+ (* -25/64 (* (pow v 4) (sqrt 2))) (* 1/16 (sqrt 2)))
(+ (* 1/16 (sqrt 2)) (* (pow v 4) (+ (* -25/64 (sqrt 2)) (* 15/128 (* (pow v 2) (sqrt 2))))))
(+ (* 1/16 (sqrt 2)) (* (pow v 4) (+ (* -25/64 (sqrt 2)) (* (pow v 2) (+ (* -189/1024 (* (pow v 2) (sqrt 2))) (* 15/128 (sqrt 2)))))))
(* -81/4096 (* (pow v 12) (sqrt 2)))
(* (pow v 12) (+ (* -81/4096 (sqrt 2)) (* 27/1024 (/ (sqrt 2) (pow v 2)))))
(* (pow v 12) (+ (* -189/1024 (/ (sqrt 2) (pow v 4))) (+ (* -81/4096 (sqrt 2)) (* 27/1024 (/ (sqrt 2) (pow v 2))))))
(* (pow v 12) (+ (* -189/1024 (/ (sqrt 2) (pow v 4))) (+ (* -81/4096 (sqrt 2)) (+ (* 27/1024 (/ (sqrt 2) (pow v 2))) (* 15/128 (/ (sqrt 2) (pow v 6)))))))
(* -81/4096 (* (pow v 12) (sqrt 2)))
(* (pow v 12) (+ (* -81/4096 (sqrt 2)) (* 27/1024 (/ (sqrt 2) (pow v 2)))))
(* (pow v 12) (+ (* -189/1024 (/ (sqrt 2) (pow v 4))) (+ (* -81/4096 (sqrt 2)) (* 27/1024 (/ (sqrt 2) (pow v 2))))))
(* (pow v 12) (+ (* -189/1024 (/ (sqrt 2) (pow v 4))) (+ (* -81/4096 (sqrt 2)) (+ (* 27/1024 (/ (sqrt 2) (pow v 2))) (* 15/128 (/ (sqrt 2) (pow v 6)))))))
1/16
(+ 1/16 (* -25/64 (pow v 4)))
(+ 1/16 (* (pow v 4) (- (* 15/128 (pow v 2)) 25/64)))
(+ 1/16 (* (pow v 4) (- (* (pow v 2) (+ 15/128 (* -189/1024 (pow v 2)))) 25/64)))
(* -81/4096 (pow v 12))
(* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) 81/4096))
(* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) (+ 81/4096 (/ 189/1024 (pow v 4)))))
(* (pow v 12) (- (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6)))) (+ 81/4096 (/ 189/1024 (pow v 4)))))
(* -81/4096 (pow v 12))
(* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) 81/4096))
(* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) (+ 81/4096 (/ 189/1024 (pow v 4)))))
(* (pow v 12) (- (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6)))) (+ 81/4096 (/ 189/1024 (pow v 4)))))
(* 25/64 (pow v 4))
(* (pow v 4) (+ 25/64 (* -15/128 (pow v 2))))
(* (pow v 4) (+ 25/64 (* (pow v 2) (- (* 189/1024 (pow v 2)) 15/128))))
(* (pow v 4) (+ 25/64 (* (pow v 2) (- (* (pow v 2) (+ 189/1024 (* -27/1024 (pow v 2)))) 15/128))))
(* 81/4096 (pow v 12))
(* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))
(* 81/4096 (pow v 12))
(* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 47/32 (sqrt 2))))) (* 5/8 (sqrt 2)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -125/32 (sqrt 2)) (+ (* -235/64 (sqrt 2)) (+ (* -5/2 (+ (* -25/16 (sqrt 2)) (* 47/32 (sqrt 2)))) (* -21/64 (sqrt 2)))))) (+ (* -25/16 (sqrt 2)) (* 47/32 (sqrt 2))))) (* 5/8 (sqrt 2)))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2)))) (* 3/16 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2))))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (* 3/16 (/ (sqrt 2) (pow v 2)))))))
(* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 9/32 (/ (sqrt 2) (pow v 2))) (* 61/24 (/ (sqrt 2) (pow v 6)))))) (+ (* -4/3 (/ (- (* -33/16 (sqrt 2)) (+ (* -4/3 (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2)))) (* -21/16 (sqrt 2)))) (pow v 6))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (+ (* 7/12 (/ (sqrt 2) (pow v 6))) (* 28/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 6))))))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2)))) (* 3/16 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2))))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (* 3/16 (/ (sqrt 2) (pow v 2)))))))
(* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 9/32 (/ (sqrt 2) (pow v 2))) (* 61/24 (/ (sqrt 2) (pow v 6)))))) (+ (* -4/3 (/ (- (* -33/16 (sqrt 2)) (+ (* -4/3 (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2)))) (* -21/16 (sqrt 2)))) (pow v 6))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (+ (* 7/12 (/ (sqrt 2) (pow v 6))) (* 28/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 6))))))))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
4
(+ 4 (* 10 (pow v 2)))
(+ 4 (* (pow v 2) (+ 10 (* 47/2 (pow v 2)))))
(+ 4 (* (pow v 2) (+ 10 (* (pow v 2) (+ 47/2 (* 229/4 (pow v 2)))))))
(/ -64/9 (pow v 6))
(* -1 (/ (+ 64/9 (* 128/27 (/ 1 (pow v 2)))) (pow v 6)))
(/ (- (/ 256/9 (pow v 4)) (+ 64/9 (* 128/27 (/ 1 (pow v 2))))) (pow v 6))
(/ (- (+ (* 6656/243 (/ 1 (pow v 6))) (/ 256/9 (pow v 4))) (+ 64/9 (* 128/27 (/ 1 (pow v 2))))) (pow v 6))
(/ -64/9 (pow v 6))
(* -1 (/ (+ 64/9 (* 128/27 (/ 1 (pow v 2)))) (pow v 6)))
(/ (- (/ 256/9 (pow v 4)) (+ 64/9 (* 128/27 (/ 1 (pow v 2))))) (pow v 6))
(/ (- (+ (* 6656/243 (/ 1 (pow v 6))) (/ 256/9 (pow v 4))) (+ 64/9 (* 128/27 (/ 1 (pow v 2))))) (pow v 6))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -1/4 (sqrt 2)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (* 3/8 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (+ (* 3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (sqrt 2)) (* 9/32 (sqrt 2)))))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(* -1/4 (* (pow v 3) (sqrt -3)))
(* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (* 1/4 (/ (sqrt -3) (pow v 2)))) (/ 1/8 (* (pow v 2) (sqrt -3)))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))) (/ 1/8 (* (pow v 2) (sqrt -3)))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt -3) 5))) (* 1/32 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))) (/ 1/8 (* (pow v 2) (sqrt -3)))))
(* 1/4 (* (pow v 3) (sqrt -3)))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (* 1/4 (/ (sqrt -3) (pow v 2)))) (/ 1/8 (* (pow v 2) (sqrt -3))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))) (/ 1/8 (* (pow v 2) (sqrt -3))))))
(* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt -3) 5))) (* 1/32 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* -1/4 (sqrt -3)) (+ (* 1/4 (/ (sqrt -3) (pow v 2))) (+ (* 1/8 (/ 1 (* (pow v 4) (sqrt -3)))) (* 1/32 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))) (/ 1/8 (* (pow v 2) (sqrt -3))))))
(* 25/64 (pow v 2))
(* (pow v 2) (+ 25/64 (* -15/128 (pow v 2))))
(* (pow v 2) (+ 25/64 (* (pow v 2) (- (* 189/1024 (pow v 2)) 15/128))))
(* (pow v 2) (+ 25/64 (* (pow v 2) (- (* (pow v 2) (+ 189/1024 (* -27/1024 (pow v 2)))) 15/128))))
(* 81/4096 (pow v 10))
(* (pow v 10) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 10) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 10) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))
(* 81/4096 (pow v 10))
(* (pow v 10) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 10) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 10) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))
(* 3/32 (pow v 2))
(* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))
(* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))
(* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))
(* -9/64 (pow v 4))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* -9/64 (pow v 4))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* -5/32 (pow v 2))
(* (pow v 2) (- (* 3/128 (pow v 2)) 5/32))
(* (pow v 2) (- (* (pow v 2) (+ 3/128 (* -9/256 (pow v 2)))) 5/32))
(* (pow v 2) (- (* (pow v 2) (+ 3/128 (* -9/256 (pow v 2)))) 5/32))
(* -9/256 (pow v 6))
(* (pow v 6) (- (* 3/128 (/ 1 (pow v 2))) 9/256))
(* (pow v 6) (- (* 3/128 (/ 1 (pow v 2))) (+ 9/256 (/ 5/32 (pow v 4)))))
(* (pow v 6) (- (* 3/128 (/ 1 (pow v 2))) (+ 9/256 (/ 5/32 (pow v 4)))))
(* -9/256 (pow v 6))
(* (pow v 6) (- (* 3/128 (/ 1 (pow v 2))) 9/256))
(* (pow v 6) (- (* 3/128 (/ 1 (pow v 2))) (+ 9/256 (/ 5/32 (pow v 4)))))
(* (pow v 6) (- (* 3/128 (/ 1 (pow v 2))) (+ 9/256 (/ 5/32 (pow v 4)))))
(* 25/64 (pow v 3))
(* (pow v 3) (+ 25/64 (* -15/128 (pow v 2))))
(* (pow v 3) (+ 25/64 (* (pow v 2) (- (* 189/1024 (pow v 2)) 15/128))))
(* (pow v 3) (+ 25/64 (* (pow v 2) (- (* (pow v 2) (+ 189/1024 (* -27/1024 (pow v 2)))) 15/128))))
(* 81/4096 (pow v 11))
(* (pow v 11) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 11) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 11) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))
(* 81/4096 (pow v 11))
(* -1 (* (pow v 11) (- (* 27/1024 (/ 1 (pow v 2))) 81/4096)))
(* -1 (* (pow v 11) (- (* 27/1024 (/ 1 (pow v 2))) (+ 81/4096 (/ 189/1024 (pow v 4))))))
(* -1 (* (pow v 11) (- (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6)))) (+ 81/4096 (/ 189/1024 (pow v 4))))))
(/ 1/4 (pow v 4))
(/ (+ 1/4 (* -5/8 (pow v 2))) (pow v 4))
(/ (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))) (pow v 4))
(/ (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))) (pow v 4))
3/32
(- 3/32 (* 5/8 (/ 1 (pow v 2))))
(- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2))))
(- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2))))
3/32
(- 3/32 (* 5/8 (/ 1 (pow v 2))))
(- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2))))
(- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (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))
(/ -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))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))
(* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))
(* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* -125/512 (pow v 3))
(* (pow v 3) (- (* 225/2048 (pow v 2)) 125/512))
(* (pow v 3) (- (* (pow v 2) (+ 225/2048 (* -1485/8192 (pow v 2)))) 125/512))
(* (pow v 3) (- (* (pow v 2) (+ 225/2048 (* (pow v 2) (- (* 1647/32768 (pow v 2)) 1485/8192)))) 125/512))
(* -729/262144 (pow v 15))
(* (pow v 15) (- (* 729/131072 (/ 1 (pow v 2))) 729/262144))
(* (pow v 15) (- (* 729/131072 (/ 1 (pow v 2))) (+ 729/262144 (/ 2673/65536 (pow v 4)))))
(* (pow v 15) (- (+ (* 729/131072 (/ 1 (pow v 2))) (* 1647/32768 (/ 1 (pow v 6)))) (+ 729/262144 (/ 2673/65536 (pow v 4)))))
(* -729/262144 (pow v 15))
(* -1 (* (pow v 15) (- 729/262144 (* 729/131072 (/ 1 (pow v 2))))))
(* -1 (* (pow v 15) (- (+ 729/262144 (/ 2673/65536 (pow v 4))) (* 729/131072 (/ 1 (pow v 2))))))
(* -1 (* (pow v 15) (- (+ 729/262144 (/ 2673/65536 (pow v 4))) (+ (* 729/131072 (/ 1 (pow v 2))) (* 1647/32768 (/ 1 (pow v 6)))))))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -25/16 (sqrt 2)) (* 47/32 (sqrt 2))))) (* 5/8 (sqrt 2)))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -125/32 (sqrt 2)) (+ (* -235/64 (sqrt 2)) (+ (* -5/2 (+ (* -25/16 (sqrt 2)) (* 47/32 (sqrt 2)))) (* -21/64 (sqrt 2)))))) (+ (* -25/16 (sqrt 2)) (* 47/32 (sqrt 2))))) (* 5/8 (sqrt 2)))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -15/64 binary64)) (*.f64 #s(literal -15/64 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 21/64 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64))))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2)))) (* 3/16 (/ (sqrt 2) (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/64 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) (*.f64 v v))))
(* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2))))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (* 3/16 (/ (sqrt 2) (pow v 2)))))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -33/16 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/64 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 9/32 binary64)) (*.f64 v v))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/16 binary64)) (*.f64 v v))) (*.f64 #s(literal 21/16 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))
(* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 9/32 (/ (sqrt 2) (pow v 2))) (* 61/24 (/ (sqrt 2) (pow v 6)))))) (+ (* -4/3 (/ (- (* -33/16 (sqrt 2)) (+ (* -4/3 (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2)))) (* -21/16 (sqrt 2)))) (pow v 6))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (+ (* 7/12 (/ (sqrt 2) (pow v 6))) (* 28/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 6))))))))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 (+.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/64 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 9/32 binary64)) (*.f64 v v))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -33/16 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 61/24 binary64)) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/16 binary64)) (*.f64 v v)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -21/16 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 (*.f64 #s(literal 7/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 7/12 binary64)) (pow.f64 v #s(literal 6 binary64)))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -33/16 binary64)) (*.f64 #s(literal 21/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 v #s(literal 6 binary64))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64))))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2)))) (* 3/16 (/ (sqrt 2) (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/64 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) (*.f64 v v))))
(* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 9/32 (/ (sqrt 2) (pow v 2))))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (* 3/16 (/ (sqrt 2) (pow v 2)))))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -33/16 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/64 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 9/32 binary64)) (*.f64 v v))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/16 binary64)) (*.f64 v v))) (*.f64 #s(literal 21/16 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))
(* (pow v 6) (- (+ (* -33/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 9/32 (/ (sqrt 2) (pow v 2))) (* 61/24 (/ (sqrt 2) (pow v 6)))))) (+ (* -4/3 (/ (- (* -33/16 (sqrt 2)) (+ (* -4/3 (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2)))) (* -21/16 (sqrt 2)))) (pow v 6))) (+ (* -4/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 4))) (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (+ (* 7/12 (/ (sqrt 2) (pow v 6))) (* 28/3 (/ (- (* 9/32 (sqrt 2)) (* 3/16 (sqrt 2))) (pow v 6))))))))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 (+.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/64 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 9/32 binary64)) (*.f64 v v))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -33/16 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 61/24 binary64)) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/16 binary64)) (*.f64 v v)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -21/16 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 (*.f64 #s(literal 7/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 7/12 binary64)) (pow.f64 v #s(literal 6 binary64)))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -33/16 binary64)) (*.f64 #s(literal 21/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 v #s(literal 6 binary64))))))
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 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
(* -9/64 (pow v 6))
(*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -9/64 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 v v))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 v v)) (/.f64 #s(literal 5/8 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -9/64 binary64)))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 #s(literal -9/64 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 v v)))) (/.f64 #s(literal 5/8 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))))
(* -9/64 (pow v 6))
(*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -9/64 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 v v))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 v v)) (/.f64 #s(literal 5/8 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -9/64 binary64)))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 #s(literal -9/64 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 v v)))) (/.f64 #s(literal 5/8 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 5/32 (pow v 2)))
(+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v v) #s(literal 5/32 binary64)))
(+ 1/16 (* (pow v 2) (+ 5/32 (* 47/128 (pow v 2)))))
(+.f64 #s(literal 1/16 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 5/32 binary64) (*.f64 v (*.f64 v #s(literal 47/128 binary64)))))))
(+ 1/16 (* (pow v 2) (+ 5/32 (* (pow v 2) (+ 47/128 (* -21/256 (pow v 2)))))))
(+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 5/32 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 47/128 binary64) (*.f64 v (*.f64 v #s(literal -21/256 binary64))))))))
(* 81/4096 (pow v 12))
(*.f64 #s(literal 81/4096 binary64) (pow.f64 v #s(literal 12 binary64)))
(* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 12 binary64)) (+.f64 #s(literal 81/4096 binary64) (/.f64 #s(literal -27/1024 binary64) (*.f64 v v))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 189/1024 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 81/4096 binary64) (/.f64 #s(literal -27/1024 binary64) (*.f64 v v)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 21/256 (/ 1 (pow v 6))))))
(*.f64 (pow.f64 v #s(literal 12 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 189/1024 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 81/4096 binary64) (/.f64 #s(literal -27/1024 binary64) (*.f64 v v)))) (/.f64 #s(literal 21/256 binary64) (pow.f64 v #s(literal 6 binary64)))))
(* 81/4096 (pow v 12))
(*.f64 #s(literal 81/4096 binary64) (pow.f64 v #s(literal 12 binary64)))
(* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 12 binary64)) (+.f64 #s(literal 81/4096 binary64) (/.f64 #s(literal -27/1024 binary64) (*.f64 v v))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 189/1024 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 81/4096 binary64) (/.f64 #s(literal -27/1024 binary64) (*.f64 v v)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 21/256 (/ 1 (pow v 6))))))
(*.f64 (pow.f64 v #s(literal 12 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 189/1024 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 81/4096 binary64) (/.f64 #s(literal -27/1024 binary64) (*.f64 v v)))) (/.f64 #s(literal 21/256 binary64) (pow.f64 v #s(literal 6 binary64)))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(* 3/32 (* (pow v 4) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 3/32 binary64)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (/.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 3/32 binary64))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)))))
(* 3/32 (* (pow v 4) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 3/32 binary64)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (/.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 3/32 binary64))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)))))
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 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
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(*.f64 v (*.f64 v (*.f64 v (+.f64 #s(literal 25/64 binary64) (*.f64 (*.f64 v v) #s(literal -15/128 binary64))))))
(* (pow v 3) (+ 25/64 (* (pow v 2) (- (* 189/1024 (pow v 2)) 15/128))))
(*.f64 (+.f64 #s(literal 25/64 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -15/128 binary64) (*.f64 (*.f64 v v) #s(literal 189/1024 binary64)))))) (*.f64 v (*.f64 v v)))
(* (pow v 3) (+ 25/64 (* (pow v 2) (- (* (pow v 2) (+ 189/1024 (* -27/1024 (pow v 2)))) 15/128))))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 25/64 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -15/128 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 189/1024 binary64) (*.f64 (*.f64 v v) #s(literal -27/1024 binary64))))))))))
(* 81/4096 (pow v 11))
(*.f64 #s(literal 81/4096 binary64) (pow.f64 v #s(literal 11 binary64)))
(* (pow v 11) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))
(*.f64 (+.f64 #s(literal 81/4096 binary64) (/.f64 #s(literal -27/1024 binary64) (*.f64 v v))) (pow.f64 v #s(literal 11 binary64)))
(* (pow v 11) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 189/1024 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 81/4096 binary64) (/.f64 #s(literal -27/1024 binary64) (*.f64 v v)))) (pow.f64 v #s(literal 11 binary64)))
(* (pow v 11) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))
(*.f64 (+.f64 #s(literal 81/4096 binary64) (+.f64 (/.f64 #s(literal 189/1024 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 (/.f64 #s(literal -27/1024 binary64) (*.f64 v v)) (/.f64 #s(literal 15/128 binary64) (pow.f64 v #s(literal 6 binary64)))))) (pow.f64 v #s(literal 11 binary64)))
(* 81/4096 (pow v 11))
(*.f64 #s(literal 81/4096 binary64) (pow.f64 v #s(literal 11 binary64)))
(* -1 (* (pow v 11) (- (* 27/1024 (/ 1 (pow v 2))) 81/4096)))
(*.f64 (+.f64 (/.f64 #s(literal 27/1024 binary64) (*.f64 v v)) #s(literal -81/4096 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 v #s(literal 11 binary64))))
(* -1 (* (pow v 11) (- (* 27/1024 (/ 1 (pow v 2))) (+ 81/4096 (/ 189/1024 (pow v 4))))))
(*.f64 (+.f64 (/.f64 #s(literal 27/1024 binary64) (*.f64 v v)) (-.f64 #s(literal -81/4096 binary64) (/.f64 #s(literal 189/1024 binary64) (*.f64 (*.f64 v v) (*.f64 v v))))) (-.f64 #s(literal 0 binary64) (pow.f64 v #s(literal 11 binary64))))
(* -1 (* (pow v 11) (- (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6)))) (+ 81/4096 (/ 189/1024 (pow v 4))))))
(*.f64 (+.f64 (/.f64 #s(literal 27/1024 binary64) (*.f64 v v)) (+.f64 (/.f64 #s(literal 15/128 binary64) (pow.f64 v #s(literal 6 binary64))) (-.f64 #s(literal -81/4096 binary64) (/.f64 #s(literal 189/1024 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) (pow.f64 v #s(literal 11 binary64))))
(/ 1/4 (pow v 4))
(/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))
(/ (+ 1/4 (* -5/8 (pow v 2))) (pow v 4))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 v v)))
(/ (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))) (pow v 4))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))) (*.f64 (*.f64 v v) (*.f64 v v)))
(/ (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))) (pow v 4))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))) (*.f64 (*.f64 v v) (*.f64 v v)))
3/32
#s(literal 3/32 binary64)
(- 3/32 (* 5/8 (/ 1 (pow v 2))))
(+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v))))
3/32
#s(literal 3/32 binary64)
(- 3/32 (* 5/8 (/ 1 (pow v 2))))
(+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ 1/4 (pow v 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/ -5/8 (pow v 2))
(/.f64 #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))
(* -9/64 (pow v 2))
(*.f64 v (*.f64 v #s(literal -9/64 binary64)))
(* -9/64 (pow v 2))
(*.f64 v (*.f64 v #s(literal -9/64 binary64)))
(* -9/64 (pow v 2))
(*.f64 v (*.f64 v #s(literal -9/64 binary64)))
(* -9/64 (pow v 2))
(*.f64 v (*.f64 v #s(literal -9/64 binary64)))
(* -9/64 (pow v 2))
(*.f64 v (*.f64 v #s(literal -9/64 binary64)))
(* -9/64 (pow v 2))
(*.f64 v (*.f64 v #s(literal -9/64 binary64)))
(* -9/64 (pow v 2))
(*.f64 v (*.f64 v #s(literal -9/64 binary64)))
(* -9/64 (pow v 2))
(*.f64 v (*.f64 v #s(literal -9/64 binary64)))
(* -9/64 (pow v 2))
(*.f64 v (*.f64 v #s(literal -9/64 binary64)))
(* -9/64 (pow v 2))
(*.f64 v (*.f64 v #s(literal -9/64 binary64)))
(* -9/64 (pow v 2))
(*.f64 v (*.f64 v #s(literal -9/64 binary64)))
(* -9/64 (pow v 2))
(*.f64 v (*.f64 v #s(literal -9/64 binary64)))
(* -5/8 (pow v 2))
(*.f64 #s(literal -5/8 binary64) (*.f64 v v))
(* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))
(* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))
(* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))
(* -9/64 (pow v 6))
(*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -9/64 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 v v))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 v v)) (/.f64 #s(literal 5/8 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -9/64 binary64)))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 v v)) (/.f64 #s(literal 5/8 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -9/64 binary64)))
(* -9/64 (pow v 6))
(*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -9/64 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 v v))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 v v)) (/.f64 #s(literal 5/8 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -9/64 binary64)))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 v v)) (/.f64 #s(literal 5/8 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -9/64 binary64)))
(* -125/512 (pow v 3))
(*.f64 v (*.f64 (*.f64 v v) #s(literal -125/512 binary64)))
(* (pow v 3) (- (* 225/2048 (pow v 2)) 125/512))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal -125/512 binary64) (*.f64 (*.f64 v v) #s(literal 225/2048 binary64)))))
(* (pow v 3) (- (* (pow v 2) (+ 225/2048 (* -1485/8192 (pow v 2)))) 125/512))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal -125/512 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 225/2048 binary64) (*.f64 (*.f64 v v) #s(literal -1485/8192 binary64)))))))
(* (pow v 3) (- (* (pow v 2) (+ 225/2048 (* (pow v 2) (- (* 1647/32768 (pow v 2)) 1485/8192)))) 125/512))
(*.f64 v (*.f64 (*.f64 v v) (+.f64 #s(literal -125/512 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 225/2048 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1485/8192 binary64) (*.f64 (*.f64 v v) #s(literal 1647/32768 binary64))))))))))
(* -729/262144 (pow v 15))
(*.f64 #s(literal -729/262144 binary64) (pow.f64 v #s(literal 15 binary64)))
(* (pow v 15) (- (* 729/131072 (/ 1 (pow v 2))) 729/262144))
(*.f64 (pow.f64 v #s(literal 15 binary64)) (+.f64 #s(literal -729/262144 binary64) (/.f64 #s(literal 729/131072 binary64) (*.f64 v v))))
(* (pow v 15) (- (* 729/131072 (/ 1 (pow v 2))) (+ 729/262144 (/ 2673/65536 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 15 binary64)) (+.f64 (/.f64 #s(literal 729/131072 binary64) (*.f64 v v)) (-.f64 #s(literal -729/262144 binary64) (/.f64 #s(literal 2673/65536 binary64) (*.f64 (*.f64 v v) (*.f64 v v))))))
(* (pow v 15) (- (+ (* 729/131072 (/ 1 (pow v 2))) (* 1647/32768 (/ 1 (pow v 6)))) (+ 729/262144 (/ 2673/65536 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 15 binary64)) (+.f64 (/.f64 #s(literal 729/131072 binary64) (*.f64 v v)) (+.f64 (/.f64 #s(literal 1647/32768 binary64) (pow.f64 v #s(literal 6 binary64))) (-.f64 #s(literal -729/262144 binary64) (/.f64 #s(literal 2673/65536 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* -729/262144 (pow v 15))
(*.f64 #s(literal -729/262144 binary64) (pow.f64 v #s(literal 15 binary64)))
(* -1 (* (pow v 15) (- 729/262144 (* 729/131072 (/ 1 (pow v 2))))))
(*.f64 (pow.f64 v #s(literal 15 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 729/262144 binary64) (/.f64 #s(literal -729/131072 binary64) (*.f64 v v)))))
(* -1 (* (pow v 15) (- (+ 729/262144 (/ 2673/65536 (pow v 4))) (* 729/131072 (/ 1 (pow v 2))))))
(*.f64 (pow.f64 v #s(literal 15 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 2673/65536 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 #s(literal 729/262144 binary64) (/.f64 #s(literal -729/131072 binary64) (*.f64 v v))))))
(* -1 (* (pow v 15) (- (+ 729/262144 (/ 2673/65536 (pow v 4))) (+ (* 729/131072 (/ 1 (pow v 2))) (* 1647/32768 (/ 1 (pow v 6)))))))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 v #s(literal 15 binary64)) (+.f64 #s(literal 729/262144 binary64) (+.f64 (/.f64 #s(literal 2673/65536 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 (/.f64 #s(literal -729/131072 binary64) (*.f64 v v)) (/.f64 #s(literal 1647/32768 binary64) (pow.f64 v #s(literal 6 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)))

eval417.0ms (4.9%)

Compiler

Compiled 155422 to 4975 computations (96.8% saved)

prune159.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New175911760
Fresh000
Picked505
Done235
Total176641770
Accuracy
100.0%
Counts
1770 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
✓98.8%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
✓97.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Compiler

Compiled 52 to 41 computations (21.2% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01461
13254
26351
311151
413251
513651
614051
014051
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (+ 1/4 (/ (* v v) -4)) (sqrt (* 2 (+ 1 (* (* v v) -3)))))
(+ 1/4 (/ (* v v) -4))
1/4
(/ (* v v) -4)
(* v v)
v
-4
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(* 2 (+ 1 (* (* v v) -3)))
2
(+ 1 (* (* v v) -3))
1
(* (* v v) -3)
-3
Outputs
(* (+ 1/4 (/ (* v v) -4)) (sqrt (* 2 (+ 1 (* (* v v) -3)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))
(+ 1/4 (/ (* v v) -4))
(+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))
1/4
#s(literal 1/4 binary64)
(/ (* v v) -4)
(/.f64 (*.f64 v v) #s(literal -4 binary64))
(* v v)
(*.f64 v v)
v
-4
#s(literal -4 binary64)
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))
(* 2 (+ 1 (* (* v v) -3)))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
2
#s(literal 2 binary64)
(+ 1 (* (* v v) -3))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
1
#s(literal 1 binary64)
(* (* v v) -3)
(*.f64 (*.f64 v v) #s(literal -3 binary64))
-3
#s(literal -3 binary64)

localize51.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -3 binary64))
Results
35.0ms256×0valid
Compiler

Compiled 72 to 15 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 12.0ms (58.8% of total)
ival-add: 3.0ms (14.7% of total)
ival-sqrt: 3.0ms (14.7% of total)
ival-div: 2.0ms (9.8% of total)
const: 1.0ms (4.9% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (* (+ 1/4 (/ (* v v) -4)) (sqrt (* 2 (+ 1 (* (* v v) -3)))))>
#<alt (sqrt (* 2 (+ 1 (* (* v v) -3))))>
#<alt (* 2 (+ 1 (* (* v v) -3)))>
#<alt (+ 1/4 (/ (* v v) -4))>
#<alt (* (* v v) -3)>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -1/4 (sqrt 2)))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (* 3/8 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (+ (* 3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (sqrt 2)) (* 9/32 (sqrt 2)))))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))>
#<alt (* v (* (sqrt -3) (sqrt 2)))>
#<alt (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))>
#<alt (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))>
#<alt (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))>
#<alt 2>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/4 (pow v 2)))>
#<alt (+ 1/4 (* -1/4 (pow v 2)))>
#<alt (+ 1/4 (* -1/4 (pow v 2)))>
#<alt (* -1/4 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* -1/4 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
Calls

15 calls:

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

rewrite277.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
3326×*-lowering-*.f32
3326×*-lowering-*.f64
2270×/-lowering-/.f32
2270×/-lowering-/.f64
1310×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01443
17435
253732
3652832
0803932
Stop Event
1×iter limit
1×node limit
Counts
5 → 175
Calls
Call 1
Inputs
(* (+ 1/4 (/ (* v v) -4)) (sqrt (* 2 (+ 1 (* (* v v) -3)))))
(sqrt (* 2 (+ 1 (* (* v v) -3))))
(* 2 (+ 1 (* (* v v) -3)))
(+ 1/4 (/ (* v v) -4))
(* (* v v) -3)
Outputs
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
(fma.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (*.f64 v v) #s(literal -4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (*.f64 v (*.f64 v v)) #s(literal -64 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v v) (/.f64 #s(literal -16 binary64) (*.f64 v v)))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (*.f64 v (*.f64 v v)) #s(literal -64 binary64))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v v) (/.f64 #s(literal -16 binary64) (*.f64 v v))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (*.f64 v (*.f64 v v)) #s(literal -64 binary64)))))) (+.f64 (neg.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64)))) #s(literal -1/16 binary64)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v v) (/.f64 #s(literal -16 binary64) (*.f64 v v)))))) (+.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v)))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v)))))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (-.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (*.f64 #s(literal 1/4 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 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (*.f64 v (*.f64 v v)) #s(literal -64 binary64)))))) (+.f64 (neg.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64)))) #s(literal -1/16 binary64)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 v v) (/.f64 #s(literal 16 binary64) (*.f64 v v))))) (+.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 (/.f64 (*.f64 v v) (/.f64 #s(literal 16 binary64) (*.f64 v v))) #s(literal -1/16 binary64))) (+.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -27 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 9 binary64)) #s(literal -3 binary64))))))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (*.f64 v (*.f64 v v)) #s(literal -64 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (neg.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64)))) #s(literal -1/16 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 v v) (/.f64 #s(literal 16 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 v v) (/.f64 #s(literal 16 binary64) (*.f64 v v))) #s(literal -1/16 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal -1/4 binary64)))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))))
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(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (*.f64 v (*.f64 v v)) #s(literal -64 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64)))) #s(literal -1/16 binary64))))
(*.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 v v) (/.f64 #s(literal 16 binary64) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (*.f64 v (*.f64 v v)) #s(literal -64 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal 4 binary64)))) (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v v) (/.f64 #s(literal -16 binary64) (*.f64 v v)))))
(*.f64 (+.f64 (/.f64 (*.f64 v v) (/.f64 #s(literal 16 binary64) (*.f64 v v))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal 1 binary64)) #s(literal 1/4 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v v) (/.f64 #s(literal -16 binary64) (*.f64 v v)))) (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v v) (/.f64 #s(literal -16 binary64) (*.f64 v v))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (*.f64 v (*.f64 v v)) #s(literal -64 binary64)))) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))) (*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))))))) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))) (-.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))) #s(literal 1/16 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (*.f64 v (*.f64 v v)) #s(literal -64 binary64)))) (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64))) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64)))))) (-.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (*.f64 v v) #s(literal 16 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 v v) (/.f64 #s(literal -16 binary64) (*.f64 v v)))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (*.f64 v (*.f64 v v)) #s(literal -64 binary64))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 v v) #s(literal -4 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))))))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(*.f64 v (*.f64 (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 v v))
(*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v #s(literal -3 binary64)) v)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal -3 binary64))) v)

simplify231.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
4878×*-lowering-*.f32
4878×*-lowering-*.f64
3548×+-lowering-+.f64
3548×+-lowering-+.f32
1062×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0140957
1450865
21930783
08072783
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -1/4 (sqrt 2)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (* 3/8 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (+ (* 3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (sqrt 2)) (* 9/32 (sqrt 2)))))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))
(sqrt 2)
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(* v (* (sqrt -3) (sqrt 2)))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
1/4
(+ 1/4 (* -1/4 (pow v 2)))
(+ 1/4 (* -1/4 (pow v 2)))
(+ 1/4 (* -1/4 (pow v 2)))
(* -1/4 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* -1/4 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -1/4 (sqrt 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (* 3/8 (sqrt 2))))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (+ (* 3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (sqrt 2)) (* 9/32 (sqrt 2)))))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) v)))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (+.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64))))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (+.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -1/64 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))))
(* 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))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (+.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64))))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))
(*.f64 (+.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (+.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/96 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -1/64 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3/2 binary64))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3/2 binary64))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -9/8 binary64)))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) (+.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 v v) #s(literal -27/16 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3/2 binary64)))))
(* v (* (sqrt -3) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(*.f64 v (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(*.f64 v (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -3 binary64)))))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(*.f64 v (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(*.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)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
(-.f64 #s(literal 0 binary64) (*.f64 v (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))))))
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
(+ 2 (* -6 (pow v 2)))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
(+ 2 (* -6 (pow v 2)))
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))
(* -6 (pow v 2))
(*.f64 v (*.f64 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 v (*.f64 v #s(literal -6 binary64)))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/4 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -1/4 binary64))))
(+ 1/4 (* -1/4 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -1/4 binary64))))
(+ 1/4 (* -1/4 (pow v 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v #s(literal -1/4 binary64))))
(* -1/4 (pow v 2))
(*.f64 v (*.f64 v #s(literal -1/4 binary64)))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(* -1/4 (pow v 2))
(*.f64 v (*.f64 v #s(literal -1/4 binary64)))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))

eval30.0ms (0.4%)

Compiler

Compiled 7831 to 801 computations (89.8% saved)

prune29.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2341235
Fresh000
Picked101
Done033
Total2354239
Accuracy
100.0%
Counts
239 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
✓98.8%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
✓97.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Compiler

Compiled 530 to 142 computations (73.2% saved)

regimes13.0ms (0.2%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal -5/8 binary64) (*.f64 v v))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 v v)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 v (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (-.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))) (+.f64 (*.f64 v (*.f64 (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) v) (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))))
(*.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))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64)))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 v (/.f64 v #s(literal 4 binary64))))))
Outputs
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
Calls

3 calls:

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)))
4.0ms
v
4.0ms
(*.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)

regimes4.0ms (0%)

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

2 calls:

2.0ms
v
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.3%1v
99.3%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

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

1.0ms
v
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.8%1v
98.8%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
v
Results
AccuracySegmentsBranch
97.7%1v
Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
18×*-commutative_binary64
10×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02546
13946
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
Outputs
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 v v) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) #s(literal 3/32 binary64)))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

soundness1.5s (17.3%)

Rules
4616×*-lowering-*.f32
4616×*-lowering-*.f64
4064×*-lowering-*.f32
4064×*-lowering-*.f64
4046×+-lowering-+.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
061733
1434426
24423424
08299424
01443
17435
253732
3652832
0803932
02701756
19021598
239111470
085331470
02481
112573
291470
0920670
01417
13717
28916
324416
473716
5178215
6306215
7546115
8753115
0809415
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 143 to 99 computations (30.8% saved)

preprocess67.0ms (0.8%)

Remove

(abs v)

Compiler

Compiled 202 to 126 computations (37.6% saved)

end0.0ms (0%)

Profiling

Loading profile data...