Falkner and Boettcher, Appendix B, 2

Time bar (total: 8.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze4.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Algorithm
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 16 computations (23.8% saved)

sample1.2s (15.4%)

Memory
28.7MiB live, 1 523.4MiB allocated
Samples
827.0ms8 256×0valid
1.0ms10×0invalid
Precisions
Click to see histograms. Total time spent on operations: 616.0ms
ival-mult: 272.0ms (44.2% of total)
ival-sqrt: 145.0ms (23.6% of total)
ival-sub: 120.0ms (19.5% of total)
ival-div: 56.0ms (9.1% of total)
exact: 14.0ms (2.3% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain199.0ms (2.5%)

Memory
-29.8MiB live, 332.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 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-(*.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 v v)
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
00-0-(sqrt.f64 #s(literal 2 binary64))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
00-0-#s(literal 4 binary64)
00-0-(*.f64 #s(literal 3 binary64) (*.f64 v v))
00-0-v
00-0-#s(literal 2 binary64)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 v v))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
79.0ms512×0valid
Compiler

Compiled 166 to 46 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 45.0ms (72.5% of total)
ival-sqrt: 7.0ms (11.3% of total)
ival-sub: 5.0ms (8.1% of total)
ival-div: 4.0ms (6.4% of total)
exact: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess333.0ms (4.1%)

Memory
22.5MiB live, 301.0MiB allocated
Algorithm
egg-herbie
Rules
7 438×lower-fma.f64
7 438×lower-fma.f32
3 206×lower-*.f32
3 198×lower-*.f64
1 088×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01639
15338
216838
359138
4165438
5297238
6400738
7433838
8439238
9445238
10454838
11525838
12604438
13715638
14750238
01419
02319
14519
29719
323019
465119
5148519
6203219
7362819
8492919
9644719
10742319
0804717
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Outputs
(*.f64 (*.f64 (/.f64 (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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (fma.f64 v (*.f64 v #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))
Symmetry

(abs v)

Compiler

Compiled 20 to 14 computations (30% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify226.0ms (2.8%)

Memory
0.4MiB live, 242.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
cost-diff128
(*.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-diff384
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
Rules
7 438×lower-fma.f64
7 438×lower-fma.f32
3 206×lower-*.f32
3 198×lower-*.f64
1 088×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01471
02371
14571
29771
323071
465171
5148571
6203271
7362871
8492971
9644771
10742371
0804766
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.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)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#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 #s(literal 3 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))
Outputs
(*.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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (fma.f64 v (*.f64 v #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))
(*.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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize43.0ms (0.5%)

Memory
-9.8MiB live, 100.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.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)))))
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
accuracy0.01171875
(*.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)))
accuracy0.140625
(*.f64 #s(literal 3 binary64) (*.f64 v v))
Samples
25.0ms256×0valid
Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (35.5% of total)
ival-sqrt: 4.0ms (28.4% of total)
ival-div: 2.0ms (14.2% of total)
ival-sub: 2.0ms (14.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB allocated
Counts
6 → 60
Calls
Call 1
Inputs
#<alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))>
#<alt (*.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)))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))>
#<alt (*.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)))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 v v))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))>
#<alt 1>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (* -3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* -3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))>
#<alt (* 1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))>
#<alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt 1>
#<alt (+ 1 (* -3/2 (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)))))))>
Calls

15 calls:

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

simplify406.0ms (5%)

Memory
7.2MiB live, 568.4MiB allocated
Algorithm
egg-herbie
Rules
21 458×lower-fma.f64
21 458×lower-fma.f32
5 772×lower-*.f64
5 772×lower-*.f32
3 222×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01741058
15381029
22038972
35879963
08242908
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
1
(+ 1 (* -3 (pow v 2)))
(+ 1 (* -3 (pow v 2)))
(+ 1 (* -3 (pow v 2)))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
1
(+ 1 (* -3/2 (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)))))))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal 3/8 binary64) #s(literal -5/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(*.f64 v (*.f64 (*.f64 v v) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 11/24 binary64) (*.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 v (*.f64 (*.f64 v v) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 11/24 binary64) (*.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.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))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (*.f64 v v) (*.f64 v (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 11/24 binary64) (*.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.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))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 11/24 binary64) (*.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))))))
1
#s(literal 1 binary64)
(+ 1 (* -3 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(* -3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -27/64 binary64) #s(literal -9/32 binary64))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)))
(* 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))))))
(fma.f64 v (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 1/96 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))
(* 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)))))))
(fma.f64 v (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 1/96 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(*.f64 v (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -1/96 binary64)))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(*.f64 v (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) #s(literal -1/64 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -1/96 binary64))))))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -3/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -9/8 binary64)) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -27/16 binary64)) #s(literal -9/8 binary64)) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(* v (sqrt -3))
(*.f64 v (sqrt.f64 #s(literal -3 binary64)))
(* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))
(* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))) v))
(* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(*.f64 v (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))))
(* -1 (* v (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (neg.f64 v))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (neg.f64 v)))
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(*.f64 v (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))))))
(* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
(*.f64 v (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64))))))))

rewrite275.0ms (3.4%)

Memory
-56.4MiB live, 421.5MiB allocated
Rules
4 304×lower-fma.f64
4 304×lower-fma.f32
4 064×lower-*.f32
4 056×lower-*.f64
2 112×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01456
02356
18054
249254
3484754
0849949
Stop Event
iter limit
node limit
iter limit
Counts
6 → 429
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
Outputs
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -4 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(+.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (neg.f64 (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 v (*.f64 (neg.f64 v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (neg.f64 (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -4 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 (neg.f64 (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 v) (*.f64 v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 (*.f64 (neg.f64 (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) v) (neg.f64 v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) (neg.f64 v)) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
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(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v))) #s(literal 1/4 binary64) (*.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v))) #s(literal 1/4 binary64))))
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 27 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 27 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) #s(literal 27 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 27 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 27 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 27 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 27 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 27 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)))

eval122.0ms (1.5%)

Memory
18.9MiB live, 134.2MiB allocated
Compiler

Compiled 14 841 to 1 677 computations (88.7% saved)

prune66.0ms (0.8%)

Memory
-23.9MiB live, 174.3MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4827489
Fresh000
Picked101
Done000
Total4837490
Accuracy
100.0%
Counts
490 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)))
98.5%
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (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 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.5%
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.0%
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
99.5%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))))
99.0%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 238 to 158 computations (33.6% saved)

simplify202.0ms (2.5%)

Memory
16.3MiB live, 334.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))))
cost-diff960
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))
cost-diff0
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64))))
cost-diff0
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))))
cost-diff320
(fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))
cost-diff1856
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)))
Rules
6 360×lower-fma.f32
6 352×lower-fma.f64
4 786×lower-*.f32
4 760×lower-*.f64
2 050×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044347
070337
1133325
2274321
3588321
41556321
52769316
65432316
77657316
08553301
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))
#s(literal 1 binary64)
(*.f64 v (*.f64 v (*.f64 v v)))
v
(*.f64 v (*.f64 v v))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(*.f64 v #s(literal -3 binary64))
#s(literal -3 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64))
v
(*.f64 v #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))
(*.f64 v v)
v
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))
#s(literal -5/8 binary64)
Outputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 v (*.f64 v #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))
#s(literal 1 binary64)
(*.f64 v (*.f64 v (*.f64 v v)))
v
(*.f64 v (*.f64 v v))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(*.f64 v #s(literal -3 binary64))
#s(literal -3 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(neg.f64 (*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 v v #s(literal -1 binary64))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(neg.f64 (*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 binary64)))) (fma.f64 v v #s(literal -1 binary64))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64))))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64))
(fma.f64 (*.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 binary64))
v
(*.f64 v #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))
(*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 v v)
v
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))
#s(literal -5/8 binary64)

localize148.0ms (1.8%)

Memory
18.3MiB live, 296.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.015625
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
accuracy0.1484375
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))
accuracy0.2924308856124913
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))))
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.00390625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))
accuracy0.01171875
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.3172027210492891
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64))))
accuracy0
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.01171875
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0.6225889359597675
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
accuracy0
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.6386015795934274
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.0078125
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)))
accuracy0.06640625
(*.f64 v (*.f64 v (*.f64 v v)))
accuracy0.09375
(*.f64 v (*.f64 v v))
accuracy0.10546875
(*.f64 v (*.f64 v #s(literal -3 binary64)))
Samples
100.0ms256×0valid
Compiler

Compiled 310 to 40 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 26.0ms (40.2% of total)
ival-add: 25.0ms (38.6% of total)
ival-sqrt: 5.0ms (7.7% of total)
ival-sub: 4.0ms (6.2% of total)
ival-div: 3.0ms (4.6% of total)
exact: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
-16.1MiB live, 24.1MiB allocated
Counts
18 → 192
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)))>
#<alt (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))>
#<alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))>
#<alt #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))>
#<alt #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64))))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))>
#<alt (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))>
#<alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))))>
#<alt (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))>
#<alt (*.f64 v (*.f64 v #s(literal -3 binary64)))>
#<alt (*.f64 v (*.f64 v v))>
#<alt (*.f64 v (*.f64 v (*.f64 v v)))>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<alt 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 (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -1 (sqrt 2)) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* -1 (* (pow v 5) (sqrt -6)))>
#<alt (* (pow v 5) (- (* -1 (sqrt -6)) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 4)))) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ 1 (* (pow v 6) (sqrt -6))) (/ (sqrt -6) (pow v 4))))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* (pow v 5) (sqrt -6))>
#<alt (* -1 (* (pow v 5) (- (* -1 (sqrt -6)) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 4)))) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ 1 (* (pow v 6) (sqrt -6))) (/ (sqrt -6) (pow v 4))))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 4)))>
#<alt (+ 1 (* -1 (pow v 4)))>
#<alt (+ 1 (* -1 (pow v 4)))>
#<alt (* -1 (pow v 4))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* -1 (pow v 4))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* 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 (+ (* 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 (* 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 (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -3/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -3/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* 1/4 (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 (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 (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (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)>
Calls

48 calls:

TimeVariablePointExpression
13.0ms
v
@-inf
(* (- 1 (* v (* v (* v v)))) (sqrt (+ (* 2 (* v (* v -3))) 2)))
1.0ms
v
@inf
(/ (* (- 1 (* v (* v (* v v)))) (sqrt (+ (* 2 (* v (* v -3))) 2))) (+ (* 4 (* v v)) 4))
1.0ms
v
@0
(/ (* (- 1 (* v (* v (* v v)))) (sqrt (+ (* 2 (* v (* v -3))) 2))) (+ (* 4 (* v v)) 4))
1.0ms
v
@inf
(* (- 1 (* v (* v (* v v)))) (sqrt (+ (* 2 (* v (* v -3))) 2)))
0.0ms
v
@inf
(* (sqrt 2) (+ (* v (* v -3/8)) 1/4))

simplify337.0ms (4.2%)

Memory
22.9MiB live, 614.4MiB allocated
Algorithm
egg-herbie
Rules
16 752×lower-fma.f64
16 752×lower-fma.f32
6 522×lower-+.f64
6 522×lower-+.f32
5 314×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02703727
18043561
228433335
081773179
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
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))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -1 (sqrt 2)) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* -1 (* (pow v 5) (sqrt -6)))
(* (pow v 5) (- (* -1 (sqrt -6)) (/ 1 (* (pow v 2) (sqrt -6)))))
(* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 4)))) (/ 1 (* (pow v 2) (sqrt -6)))))
(* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ 1 (* (pow v 6) (sqrt -6))) (/ (sqrt -6) (pow v 4))))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6))))))
(* (pow v 5) (sqrt -6))
(* -1 (* (pow v 5) (- (* -1 (sqrt -6)) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 4)))) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 5) (- (+ (* -1 (sqrt -6)) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ 1 (* (pow v 6) (sqrt -6))) (/ (sqrt -6) (pow v 4))))) (+ (/ 1/2 (* (pow v 6) (pow (sqrt -6) 5))) (/ 1 (* (pow v 2) (sqrt -6)))))))
1
(+ 1 (* -1 (pow v 4)))
(+ 1 (* -1 (pow v 4)))
(+ 1 (* -1 (pow v 4)))
(* -1 (pow v 4))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* -1 (pow v 4))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* (pow v 4) (- (/ 1 (pow v 4)) 1))
(* 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))
(+ (* 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))))))))
(* 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))))))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -3/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -3/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* 1/4 (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 (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))))))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(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)
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 v (*.f64 v (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64) (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 9/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -27/8 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(*.f64 (*.f64 v v) (*.f64 v (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) v))))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) v)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(*.f64 v (*.f64 (*.f64 v v) (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) v)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -1/48 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(neg.f64 (*.f64 (*.f64 v v) (*.f64 v (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) v)))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(*.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) v)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))) (neg.f64 (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(*.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) v)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -1/48 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))))) (neg.f64 (*.f64 v (*.f64 v v))))
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(fma.f64 (*.f64 v v) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -1 (sqrt 2)) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))) (-.f64 (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow v 5) (sqrt -6)))
(*.f64 (pow.f64 v #s(literal 5 binary64)) (neg.f64 (sqrt.f64 #s(literal -6 binary64))))
(* (pow v 5) (- (* -1 (sqrt -6)) (/ 1 (* (pow v 2) (sqrt -6)))))
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(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (*.f64 v v) #s(literal -5/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(fma.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/16 binary64) (*.f64 v v) #s(literal 3/8 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 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))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 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))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (neg.f64 (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (neg.f64 (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (neg.f64 (*.f64 v (*.f64 v v))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))

rewrite334.0ms (4.1%)

Memory
3.5MiB live, 555.7MiB allocated
Rules
5 736×lower-fma.f32
5 728×lower-fma.f64
4 210×lower-*.f32
4 184×lower-*.f64
3 838×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044264
070254
1241237
21590220
08421211
Stop Event
iter limit
node limit
iter limit
Counts
18 → 532
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(*.f64 v (*.f64 v v))
(*.f64 v (*.f64 v (*.f64 v v)))
Outputs
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 (*.f64 v v))))
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 (*.f64 v v))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 (*.f64 v v))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64) (*.f64 (neg.f64 (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25/32 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 v (*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))))) (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25/32 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25/32 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25/32 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25/32 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25/32 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25/32 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25/32 binary64)) (-.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))))))))
(*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25/32 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25/32 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25/32 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25/32 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))))))
(*.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25/32 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 v (*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/8 binary64)))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(*.f64 #s(literal -5/8 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v))
(*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal -5/8 binary64))
(*.f64 (*.f64 (*.f64 v (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/8 binary64)) v)
(*.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64)))
(neg.f64 (*.f64 (*.f64 v v) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 9 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 9 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))
(*.f64 v (*.f64 v #s(literal -3 binary64)))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal -3 binary64)) v)
(*.f64 #s(literal 3 binary64) (neg.f64 (*.f64 v v)))
(*.f64 (neg.f64 (*.f64 v v)) #s(literal 3 binary64))
(*.f64 (*.f64 v #s(literal 3 binary64)) (neg.f64 v))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64)))
(*.f64 (neg.f64 (*.f64 v #s(literal 3 binary64))) v)
(exp.f64 (*.f64 (log.f64 v) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 v v)) #s(literal 3/2 binary64)))
(pow.f64 v #s(literal 3 binary64))
(pow.f64 (*.f64 v v) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 v #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))
(*.f64 v (*.f64 v v))
(*.f64 (*.f64 v v) v)
(*.f64 (*.f64 v (*.f64 v v)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 v #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 v (*.f64 v v)))
(*.f64 (pow.f64 (*.f64 v v) #s(literal 3/4 binary64)) (pow.f64 (*.f64 v v) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 v)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 v v)) #s(literal 2 binary64)))
(pow.f64 v #s(literal 4 binary64))
(pow.f64 (*.f64 v v) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 v v)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))
(*.f64 v (*.f64 v (*.f64 v v)))
(*.f64 (*.f64 v v) (*.f64 v v))
(*.f64 (*.f64 v v) (*.f64 (neg.f64 v) (neg.f64 v)))
(*.f64 (*.f64 v (*.f64 v v)) v)
(*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 v v)) (neg.f64 (*.f64 v v)))
(*.f64 (*.f64 (neg.f64 v) (neg.f64 v)) (*.f64 v v))

eval134.0ms (1.7%)

Memory
2.7MiB live, 333.8MiB allocated
Compiler

Compiled 24 065 to 1 922 computations (92% saved)

prune165.0ms (2.1%)

Memory
-26.5MiB live, 212.2MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New7864790
Fresh202
Picked415
Done000
Total7925797
Accuracy
100.0%
Counts
797 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
100.0%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
100.0%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
99.5%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
99.0%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 70 to 49 computations (30% saved)

simplify147.0ms (1.8%)

Memory
21.6MiB live, 254.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))
cost-diff128
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff1088
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))
cost-diff0
(*.f64 v v)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 v v))
cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
cost-diff0
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff128
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
cost-diff0
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
Rules
5 366×lower-fma.f32
5 360×lower-fma.f64
2 848×lower-*.f32
2 834×lower-*.f64
2 700×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035225
055222
1112222
2221222
3486222
41347222
52386222
64036222
76774222
08349217
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(*.f64 v v)
v
#s(literal -5/8 binary64)
#s(literal 1/4 binary64)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(*.f64 v v)
v
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))
(*.f64 v v)
v
#s(literal -5/8 binary64)
#s(literal 1/4 binary64)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
(*.f64 v v)
v
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize101.0ms (1.3%)

Memory
-9.5MiB live, 236.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 v v)
accuracy0
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy0.00390625
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))
accuracy0
(*.f64 v v)
accuracy0
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.00390625
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
accuracy0.0078125
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.015625
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy0
(*.f64 v v)
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.015625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
accuracy0.2924308856124913
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
Samples
61.0ms256×0valid
Compiler

Compiled 231 to 36 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 19.0ms (44.2% of total)
ival-sqrt: 12.0ms (27.9% of total)
ival-div: 5.0ms (11.6% of total)
ival-add: 4.0ms (9.3% of total)
ival-sub: 2.0ms (4.7% of total)
exact: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-15.0MiB live, 25.2MiB allocated
Counts
15 → 168
Calls
Call 1
Inputs
#<alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))>
#<alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))>
#<alt (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 v v))>
#<alt (*.f64 v v)>
#<alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))>
#<alt (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))>
#<alt (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* 1/4 (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>
#<alt (+ 1 (* -5/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 3/8 (* -9/16 (pow v 2)))) 5/2)))>
#<alt (* -1 (* (pow v 3) (sqrt -3)))>
#<alt (* (pow v 3) (- (+ (* -1 (sqrt -3)) (/ (sqrt -3) (pow v 2))) (/ 1/2 (* (pow v 2) (sqrt -3)))))>
#<alt (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2))))) (/ 1/2 (* (pow v 2) (sqrt -3)))))>
#<alt (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2)))))) (/ 1/2 (* (pow v 2) (sqrt -3)))))>
#<alt (* (pow v 3) (sqrt -3))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (/ (sqrt -3) (pow v 2))) (/ 1/2 (* (pow v 2) (sqrt -3))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2))))) (/ 1/2 (* (pow v 2) (sqrt -3))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2)))))) (/ 1/2 (* (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>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (* -3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* -3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* 1/4 (* v (sqrt -6)))>
#<alt (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1/4 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))>
#<alt 1>
#<alt (+ 1 (pow v 2))>
#<alt (+ 1 (* (pow v 2) (+ 1 (pow v 2))))>
#<alt (+ 1 (* (pow v 2) (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))>
#<alt (/ -1 (pow v 2))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))>
#<alt (/ -1 (pow v 2))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* v (sqrt -6))>
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
Calls

42 calls:

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

simplify368.0ms (4.6%)

Memory
58.5MiB live, 630.2MiB allocated
Algorithm
egg-herbie
Rules
14 546×lower-fma.f64
14 546×lower-fma.f32
5 412×lower-*.f64
5 412×lower-*.f32
4 692×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03513149
110362983
236772860
082432734
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* 1/4 (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
(+ 1 (* -5/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 3/8 (* -9/16 (pow v 2)))) 5/2)))
(* -1 (* (pow v 3) (sqrt -3)))
(* (pow v 3) (- (+ (* -1 (sqrt -3)) (/ (sqrt -3) (pow v 2))) (/ 1/2 (* (pow v 2) (sqrt -3)))))
(* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2))))) (/ 1/2 (* (pow v 2) (sqrt -3)))))
(* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2)))))) (/ 1/2 (* (pow v 2) (sqrt -3)))))
(* (pow v 3) (sqrt -3))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (/ (sqrt -3) (pow v 2))) (/ 1/2 (* (pow v 2) (sqrt -3))))))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2))))) (/ 1/2 (* (pow v 2) (sqrt -3))))))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2)))))) (/ 1/2 (* (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
(+ 1 (* -3 (pow v 2)))
(+ 1 (* -3 (pow v 2)))
(+ 1 (* -3 (pow v 2)))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
1
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 1/4 (sqrt 2))
(+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))
(* 1/4 (* v (sqrt -6)))
(* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))
(* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1/4 (* v (sqrt -6)))
(* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
1
(+ 1 (pow v 2))
(+ 1 (* (pow v 2) (+ 1 (pow v 2))))
(+ 1 (* (pow v 2) (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))
(/ -1 (pow v 2))
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))
(/ -1 (pow v 2))
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal 3/8 binary64)) #s(literal -5/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 v (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (neg.f64 (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(neg.f64 (*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 v (*.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))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (neg.f64 (*.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)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 v (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(*.f64 v (*.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* -5/8 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5/8 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(*.f64 v (*.f64 v (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal 3/8 binary64)) #s(literal -5/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 v (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
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(* -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)))))))
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(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/4 (* v (sqrt -6)))
(*.f64 #s(literal 1/4 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))
(*.f64 v (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 6 binary64) (sqrt.f64 #s(literal -6 binary64))))))))
(* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 6 binary64) (sqrt.f64 #s(literal -6 binary64)))))))))
(* -1/4 (* v (sqrt -6)))
(*.f64 #s(literal -1/4 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))
(*.f64 #s(literal -1/4 binary64) (fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 6 binary64) (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 v))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 6 binary64) (sqrt.f64 #s(literal -6 binary64)))))))) (neg.f64 v))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(fma.f64 (*.f64 v v) (*.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 v v) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 v (*.f64 v v))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v))) (neg.f64 (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))) (neg.f64 (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
(neg.f64 (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (*.f64 v (*.f64 v v))))))))
1
#s(literal 1 binary64)
(+ 1 (pow v 2))
(fma.f64 v v #s(literal 1 binary64))
(+ 1 (* (pow v 2) (+ 1 (pow v 2))))
(fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))
(*.f64 (fma.f64 v (*.f64 v (*.f64 v v)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64)))
(/ -1 (pow v 2))
(/.f64 #s(literal -1 binary64) (*.f64 v v))
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 v v))
(/ -1 (pow v 2))
(/.f64 #s(literal -1 binary64) (*.f64 v v))
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 v v))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(fma.f64 (*.f64 v v) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (/.f64 #s(literal -27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* v (sqrt -6))
(*.f64 v (sqrt.f64 #s(literal -6 binary64)))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(*.f64 v (+.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 v (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))))))
(* -1 (* v (sqrt -6)))
(neg.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(neg.f64 (fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64)))))) (neg.f64 v))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(neg.f64 (*.f64 v (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))))))))

rewrite393.0ms (4.9%)

Memory
-2.7MiB live, 762.7MiB allocated
Rules
11 296×lower-fma.f32
11 290×lower-fma.f64
6 052×lower-*.f32
6 038×lower-*.f64
2 744×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035153
055150
1199148
21247148
08802143
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 133
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v v)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
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(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (*.f64 v v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 v (fma.f64 v (*.f64 v v) v))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 v (fma.f64 v (*.f64 v v) v)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 v v)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 v v)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 v v) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))
(/.f64 (fma.f64 v v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))))
(/.f64 (fma.f64 v (neg.f64 v) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (*.f64 v v)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))))
(*.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (fma.f64 v v #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 36 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 12 binary64))))) (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 36 binary64)) #s(literal -4 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64)) #s(literal 8 binary64))) (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 36 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 12 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64)) #s(literal 8 binary64))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 36 binary64)) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 36 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 12 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 36 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal 6 binary64) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 36 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64)) #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 36 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 12 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 36 binary64)) #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64)) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 36 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 12 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64)) #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 36 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 12 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 36 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 12 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 36 binary64)) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 36 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 36 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))

eval246.0ms (3.1%)

Memory
-8.1MiB live, 630.7MiB allocated
Compiler

Compiled 47 019 to 3 385 computations (92.8% saved)

prune233.0ms (2.9%)

Memory
-23.5MiB live, 432.1MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1 72431 727
Fresh000
Picked314
Done011
Total1 72751 732
Accuracy
100.0%
Counts
1 732 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
100.0%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (fma.f64 v v #s(literal -1 binary64)))
99.9%
(*.f64 #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
99.5%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
99.0%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 72 to 50 computations (30.6% saved)

simplify174.0ms (2.2%)

Memory
26.4MiB live, 216.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))
cost-diff1088
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
cost-diff0
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff0
(*.f64 v v)
cost-diff0
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Rules
10 046×lower-fma.f32
10 034×lower-fma.f64
2 802×lower-*.f32
2 788×lower-*.f64
1 336×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036220
060218
1127218
2305218
3689218
42087218
55626218
08144216
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))
(*.f64 v v)
v
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64))
(fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64))
#s(literal -9/16 binary64)
#s(literal 3/8 binary64)
#s(literal -5/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
v
(*.f64 v #s(literal -6 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal -1/4 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(*.f64 v v)
v
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
Outputs
(*.f64 #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -9/16 binary64)) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64)))
#s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -9/16 binary64)) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -9/16 binary64)) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))
(*.f64 v v)
v
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -9/16 binary64)) #s(literal 3/8 binary64)) #s(literal -5/2 binary64))
(fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64))
(fma.f64 v (*.f64 v #s(literal -9/16 binary64)) #s(literal 3/8 binary64))
#s(literal -9/16 binary64)
#s(literal 3/8 binary64)
#s(literal -5/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 v (*.f64 v #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
v
(*.f64 v #s(literal -6 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal -1/4 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 v (*.f64 v #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(*.f64 v v)
v
#s(literal -6 binary64)
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))

localize138.0ms (1.7%)

Memory
-15.9MiB live, 140.1MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 v v)
accuracy0
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy0.00390625
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
accuracy0.00390625
(/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))
accuracy0
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64))
accuracy0
(*.f64 v #s(literal -6 binary64))
accuracy0
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
accuracy0.01171875
(*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy0
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.0078125
(*.f64 #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.03517822089528859
#s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64)))
Samples
98.0ms256×0valid
Compiler

Compiled 207 to 41 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 55.0ms (73% of total)
ival-add: 8.0ms (10.6% of total)
ival-sqrt: 7.0ms (9.3% of total)
ival-div: 3.0ms (4% of total)
ival-sub: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB allocated
Counts
16 → 168
Calls
Call 1
Inputs
#<alt (*.f64 #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 v v)>
#<alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (fma.f64 v v #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64))>
#<alt (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))>
#<alt (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))>
#<alt (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))>
#<alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))>
#<alt (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))>
#<alt (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 v #s(literal -6 binary64))>
#<alt (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))>
Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))>
#<alt 1>
#<alt (+ 1 (* -5/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 3/8 (* -9/16 (pow v 2)))) 5/2)))>
#<alt (* -1 (* (pow v 3) (sqrt -3)))>
#<alt (* (pow v 3) (- (+ (* -1 (sqrt -3)) (/ (sqrt -3) (pow v 2))) (/ 1/2 (* (pow v 2) (sqrt -3)))))>
#<alt (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2))))) (/ 1/2 (* (pow v 2) (sqrt -3)))))>
#<alt (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2)))))) (/ 1/2 (* (pow v 2) (sqrt -3)))))>
#<alt (* (pow v 3) (sqrt -3))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (/ (sqrt -3) (pow v 2))) (/ 1/2 (* (pow v 2) (sqrt -3))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2))))) (/ 1/2 (* (pow v 2) (sqrt -3))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2)))))) (/ 1/2 (* (pow v 2) (sqrt -3))))))>
#<alt 1>
#<alt (+ 1 (* -5/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 3/8 (* -9/16 (pow v 2)))) 5/2)))>
#<alt (* -9/16 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/8 (/ 1 (pow v 2))) 9/16))>
#<alt (* (pow v 6) (- (* 3/8 (/ 1 (pow v 2))) (+ 9/16 (/ 5/2 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/8 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 9/16 (/ 5/2 (pow v 4)))))>
#<alt (* -9/16 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/8 (/ 1 (pow v 2))) 9/16))>
#<alt (* (pow v 6) (- (* 3/8 (/ 1 (pow v 2))) (+ 9/16 (/ 5/2 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/8 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 9/16 (/ 5/2 (pow v 4)))))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -1/4 (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))) (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 27/2 (/ 1 (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* -1/4 (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))))))))>
#<alt (* -1/4 (sqrt 2))>
#<alt (+ (* -1/4 (sqrt 2)) (* 3/4 (/ (pow v 2) (sqrt 2))))>
#<alt (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* 9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* (pow v 2) (+ (* 27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* -1/4 (* v (sqrt -6)))>
#<alt (* v (- (* -1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* v (- (+ (* -1/4 (sqrt -6)) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* v (- (+ (* -1/4 (sqrt -6)) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))))>
#<alt (* 1/4 (* v (sqrt -6)))>
#<alt (* -1 (* v (- (* -1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (- (+ (* -1/4 (sqrt -6)) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (- (+ (* -1/4 (sqrt -6)) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5))))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* v (sqrt -6))>
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt 2>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -1/4 (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))) (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 27/2 (/ 1 (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* -1/4 (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* 1/4 (* v (sqrt -6)))>
#<alt (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1/4 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* v (sqrt -6))>
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt 2>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt 1>
#<alt (+ 1 (pow v 2))>
#<alt (+ 1 (* (pow v 2) (+ 1 (pow v 2))))>
#<alt (+ 1 (* (pow v 2) (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))>
#<alt (/ -1 (pow v 2))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))>
#<alt (/ -1 (pow v 2))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))>
Calls

42 calls:

TimeVariablePointExpression
2.0ms
v
@inf
(+ (* (* v v) (+ (* (* v v) (+ (* (* v v) -9/16) 3/8)) -5/2)) 1)
1.0ms
v
@inf
(* (sqrt (+ (* v (* v -6)) 2)) -1/4)
1.0ms
v
@inf
(* (* (sqrt (+ (* v (* v -6)) 2)) -1/4) (+ (* v v) -1))
1.0ms
v
@0
(* (* (sqrt (+ (* v (* v -6)) 2)) -1/4) (+ (* v v) -1))
0.0ms
v
@-inf
(* v -6)

simplify363.0ms (4.5%)

Memory
0.3MiB live, 468.8MiB allocated
Algorithm
egg-herbie
Rules
15 248×lower-fma.f64
15 248×lower-fma.f32
5 410×lower-*.f64
5 410×lower-*.f32
4 868×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03422988
110372864
237732766
083222659
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
1
(+ 1 (* -5/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 3/8 (* -9/16 (pow v 2)))) 5/2)))
(* -1 (* (pow v 3) (sqrt -3)))
(* (pow v 3) (- (+ (* -1 (sqrt -3)) (/ (sqrt -3) (pow v 2))) (/ 1/2 (* (pow v 2) (sqrt -3)))))
(* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2))))) (/ 1/2 (* (pow v 2) (sqrt -3)))))
(* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2)))))) (/ 1/2 (* (pow v 2) (sqrt -3)))))
(* (pow v 3) (sqrt -3))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (/ (sqrt -3) (pow v 2))) (/ 1/2 (* (pow v 2) (sqrt -3))))))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2))))) (/ 1/2 (* (pow v 2) (sqrt -3))))))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2)))))) (/ 1/2 (* (pow v 2) (sqrt -3))))))
1
(+ 1 (* -5/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 3/8 (* -9/16 (pow v 2)))) 5/2)))
(* -9/16 (pow v 6))
(* (pow v 6) (- (* 3/8 (/ 1 (pow v 2))) 9/16))
(* (pow v 6) (- (* 3/8 (/ 1 (pow v 2))) (+ 9/16 (/ 5/2 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/8 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 9/16 (/ 5/2 (pow v 4)))))
(* -9/16 (pow v 6))
(* (pow v 6) (- (* 3/8 (/ 1 (pow v 2))) 9/16))
(* (pow v 6) (- (* 3/8 (/ 1 (pow v 2))) (+ 9/16 (/ 5/2 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/8 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 9/16 (/ 5/2 (pow v 4)))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 1/4 (sqrt 2))
(+ (* -1/4 (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))) (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 27/2 (/ 1 (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* -1/4 (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))))))))
(* -1/4 (sqrt 2))
(+ (* -1/4 (sqrt 2)) (* 3/4 (/ (pow v 2) (sqrt 2))))
(+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* 9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* (pow v 2) (+ (* 27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))
(* -1/4 (* v (sqrt -6)))
(* v (- (* -1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))
(* v (- (+ (* -1/4 (sqrt -6)) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (* -1/4 (sqrt -6)) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))))
(* 1/4 (* v (sqrt -6)))
(* -1 (* v (- (* -1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (- (+ (* -1/4 (sqrt -6)) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (* -1/4 (sqrt -6)) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5))))))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* 1/4 (sqrt 2))
(+ (* -1/4 (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))) (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 27/2 (/ 1 (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* -1/4 (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))))))))
(* 1/4 (sqrt 2))
(+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))
(* 1/4 (* v (sqrt -6)))
(* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))
(* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1/4 (* v (sqrt -6)))
(* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
1
(+ 1 (pow v 2))
(+ 1 (* (pow v 2) (+ 1 (pow v 2))))
(+ 1 (* (pow v 2) (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))
(/ -1 (pow v 2))
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))
(/ -1 (pow v 2))
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))
Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal 3/8 binary64)) #s(literal -5/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64))) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 v (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (neg.f64 (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(neg.f64 (*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 v (*.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))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (neg.f64 (*.f64 v (*.f64 v v))))
1
#s(literal 1 binary64)
(+ 1 (* -5/2 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -5/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 3/8 (* -9/16 (pow v 2)))) 5/2)))
(fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64))) #s(literal 1 binary64))
(* -1 (* (pow v 3) (sqrt -3)))
(*.f64 (*.f64 v (*.f64 v v)) (neg.f64 (sqrt.f64 #s(literal -3 binary64))))
(* (pow v 3) (- (+ (* -1 (sqrt -3)) (/ (sqrt -3) (pow v 2))) (/ 1/2 (* (pow v 2) (sqrt -3)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))))
(* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2))))) (/ 1/2 (* (pow v 2) (sqrt -3)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal -1/24 binary64) (/.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))))
(* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2)))))) (/ 1/2 (* (pow v 2) (sqrt -3)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal -1/24 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))))
(* (pow v 3) (sqrt -3))
(*.f64 (*.f64 v v) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (/ (sqrt -3) (pow v 2))) (/ 1/2 (* (pow v 2) (sqrt -3))))))
(*.f64 (+.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))) (neg.f64 (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2))))) (/ 1/2 (* (pow v 2) (sqrt -3))))))
(neg.f64 (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal -1/24 binary64) (/.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v))) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))))))
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -3)) (+ (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3)))) (pow v 6))) (+ (* 1/2 (/ 1 (* (pow v 4) (sqrt -3)))) (+ (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))) (/ (sqrt -3) (pow v 2)))))) (/ 1/2 (* (pow v 2) (sqrt -3))))))
(*.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v v)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal -1/24 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))) (neg.f64 (*.f64 v (*.f64 v v))))
1
#s(literal 1 binary64)
(+ 1 (* -5/2 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -5/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 3/8 (pow v 2)) 5/2)))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 3/8 (* -9/16 (pow v 2)))) 5/2)))
(fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64))) #s(literal 1 binary64))
(* -9/16 (pow v 6))
(*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -9/16 binary64))
(* (pow v 6) (- (* 3/8 (/ 1 (pow v 2))) 9/16))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -9/16 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 v v))))
(* (pow v 6) (- (* 3/8 (/ 1 (pow v 2))) (+ 9/16 (/ 5/2 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -9/16 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 v v))) (/.f64 #s(literal -5/2 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))
(* (pow v 6) (- (+ (* 3/8 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 9/16 (/ 5/2 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -9/16 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 v v))) (/.f64 #s(literal -5/2 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))))
(* -9/16 (pow v 6))
(*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -9/16 binary64))
(* (pow v 6) (- (* 3/8 (/ 1 (pow v 2))) 9/16))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -9/16 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 v v))))
(* (pow v 6) (- (* 3/8 (/ 1 (pow v 2))) (+ 9/16 (/ 5/2 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -9/16 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 v v))) (/.f64 #s(literal -5/2 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))
(* (pow v 6) (- (+ (* 3/8 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 9/16 (/ 5/2 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -9/16 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 v v))) (/.f64 #s(literal -5/2 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/4 (* (pow v 2) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (* 1/4 (sqrt 2)))
(fma.f64 v (*.f64 v (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))) (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* -1/4 (* (pow v 2) (- (* 27/2 (/ 1 (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* -1/4 (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 v (*.f64 v v))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2)))))
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(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* -1 (sqrt -6)) (/ 1 (sqrt -6))) (pow v 2))) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))))))))
(*.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (neg.f64 (*.f64 v (*.f64 v v))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(fma.f64 (*.f64 v v) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal -27/8 binary64) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/4 (* v (sqrt -6)))
(*.f64 #s(literal 1/4 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))
(*.f64 v (+.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 6 binary64) (sqrt.f64 #s(literal -6 binary64)))))))
(* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 6 binary64) (sqrt.f64 #s(literal -6 binary64))))))))
(* -1/4 (* v (sqrt -6)))
(*.f64 #s(literal -1/4 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))
(*.f64 #s(literal -1/4 binary64) (fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 6 binary64) (sqrt.f64 #s(literal -6 binary64)))))) (neg.f64 v))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 6 binary64) (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 v))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(fma.f64 (*.f64 v v) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* v (sqrt -6))
(*.f64 v (sqrt.f64 #s(literal -6 binary64)))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))) (sqrt.f64 #s(literal -6 binary64)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 v (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))))))
(* -1 (* v (sqrt -6)))
(neg.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(neg.f64 (fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))) (sqrt.f64 #s(literal -6 binary64)))) (neg.f64 v))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(*.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 v))
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 v (*.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 v (*.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 v (*.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* -6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -6 binary64))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 v (*.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 v (*.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(*.f64 v (*.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow v 2))
(fma.f64 v v #s(literal 1 binary64))
(+ 1 (* (pow v 2) (+ 1 (pow v 2))))
(fma.f64 v (*.f64 v (fma.f64 v v #s(literal 1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))
(*.f64 (fma.f64 v (*.f64 v (*.f64 v v)) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64)))
(/ -1 (pow v 2))
(/.f64 #s(literal -1 binary64) (*.f64 v v))
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 v v))
(/ -1 (pow v 2))
(/.f64 #s(literal -1 binary64) (*.f64 v v))
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 v v))

rewrite285.0ms (3.5%)

Memory
-3.5MiB live, 609.2MiB allocated
Rules
5 300×lower-*.f32
5 286×lower-*.f64
4 570×lower-/.f32
4 566×lower-/.f64
3 610×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036175
060173
1245173
21623173
08420171
Stop Event
iter limit
node limit
iter limit
Counts
16 → 658
Calls
Call 1
Inputs
(*.f64 #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))
(*.f64 v v)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 v #s(literal -6 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))
Outputs
(*.f64 #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -9/16 binary64)) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -9/16 binary64)) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -9/16 binary64)) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -9/16 binary64)) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -9/16 binary64)) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -9/16 binary64)) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
#s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -9/16 binary64)) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -9/16 binary64)) #s(literal 3/8 binary64)) #s(literal -5/2 binary64))))
(+.f64 (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -9/16 binary64)) #s(literal 3/8 binary64)) #s(literal -5/2 binary64))) #s(literal 1 binary64))
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(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))) (*.f64 (fma.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -1 binary64)) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (fma.f64 v v #s(literal 1 binary64)))))
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(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -1 binary64))) (*.f64 (fma.f64 v (*.f64 v (*.f64 v v)) #s(literal -1 binary64)) (fma.f64 v (*.f64 v (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64)))) (neg.f64 (+.f64 v #s(literal -1 binary64))))
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(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v (*.f64 v (*.f64 v v)) #s(literal -1 binary64))) (fma.f64 v v #s(literal 1 binary64)))
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(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 v #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 v #s(literal -1 binary64)) #s(literal -1 binary64)))

eval171.0ms (2.1%)

Memory
7.8MiB live, 196.0MiB allocated
Compiler

Compiled 28 154 to 1 878 computations (93.3% saved)

prune134.0ms (1.7%)

Memory
-21.7MiB live, 142.5MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New8881889
Fresh000
Picked123
Done022
Total8895894
Accuracy
100.0%
Counts
894 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (+.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal -1 binary64)))
100.0%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (fma.f64 v v #s(literal -1 binary64)))
99.9%
(*.f64 #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
99.5%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
99.0%
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 334 to 131 computations (60.8% saved)

regimes13.0ms (0.2%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (+.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Outputs
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
Calls

3 calls:

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

Compiled 26 to 17 computations (34.6% saved)

regimes10.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (+.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(approx (* (sqrt (+ (* (* v v) -3) 1)) (- 1 (* v v))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64)) #s(literal -5/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (fma.f64 v v #s(literal -1 binary64)))
Calls

3 calls:

3.0ms
v
3.0ms
(*.f64 v v)
3.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Results
AccuracySegmentsBranch
100.0%1v
100.0%1(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
100.0%1(*.f64 v v)
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes60.0ms (0.8%)

Memory
-31.0MiB live, 7.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
(*.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
Calls

3 calls:

57.0ms
(*.f64 v v)
2.0ms
v
1.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Results
AccuracySegmentsBranch
99.5%1v
99.5%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)))
99.5%1(*.f64 v v)
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes4.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
v
1.0ms
(*.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)))
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.0%1v
99.0%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)))
99.0%1(*.f64 v v)
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03783
14683
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (fma.f64 v v #s(literal -1 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))

soundness877.0ms (10.9%)

Memory
-23.1MiB live, 507.3MiB allocated
Rules
21 458×lower-fma.f64
21 458×lower-fma.f32
16 752×lower-fma.f64
16 752×lower-fma.f32
11 296×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01741058
15381029
22038972
35879963
08242908
01456
02356
18054
249254
3484754
0849949
02703727
18043561
228433335
081773179
035153
055150
1199148
21247148
08802143
044264
070254
1241237
21590220
08421211
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 107 to 61 computations (43% saved)

preprocess36.0ms (0.5%)

Memory
9.1MiB live, 85.3MiB allocated
Remove

(abs v)

Compiler

Compiled 200 to 122 computations (39% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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