Falkner and Boettcher, Equation (20:1,3)

Time bar (total: 12.5s)

analyze46.0ms (0.4%)

Memory
11.1MiB live, 131.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%50%0.1%0%50%0%4
0%0%50%0.1%0%50%0%5
37.5%18.7%31.2%0.1%0%50%0%6
43.8%21.9%28.1%0.1%0%50%0%7
65.6%32.8%17.2%0.1%0%50%0%8
70.3%35.1%14.8%0.1%0%50%0%9
82%41%9%0.1%0%50%0%10
84.8%42.3%7.6%0.1%0%50%0%11
90.8%45.4%4.6%0.1%0%50%0%12
Compiler

Compiled 30 to 21 computations (30% saved)

sample1.3s (10.4%)

Memory
18.1MiB live, 2 266.2MiB allocated
Samples
901.0ms8 256×0valid
1.0ms10×0invalid
Precisions
Click to see histograms. Total time spent on operations: 669.0ms
ival-mult: 379.0ms (56.7% of total)
ival-sub: 125.0ms (18.7% of total)
ival-sqrt: 61.0ms (9.1% of total)
ival-div: 50.0ms (7.5% of total)
ival-pi: 32.0ms (4.8% of total)
exact: 13.0ms (1.9% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess259.0ms (2.1%)

Memory
12.0MiB live, 440.5MiB allocated
Algorithm
1×egg-herbie
Rules
5 098×lower-*.f32
5 084×lower-*.f64
4 848×lower-fma.f64
4 848×lower-fma.f32
3 484×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047142
1174140
2628130
34441130
01928
03228
17028
220226
391826
4471826
5743726
0812324
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) (neg.f64 t) t))))
Symmetry

(abs v)

(negabs t)

explain241.0ms (1.9%)

Memory
-3.2MiB live, 398.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 #s(literal 5 binary64) (*.f64 v v))
00-0-(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-t
00-0-#s(literal 5 binary64)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
00-0-(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
00-0-v
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
00-0-(PI.f64)
00-0-(*.f64 (PI.f64) t)
00-0-(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
00-0-(*.f64 v v)
00-0-(*.f64 #s(literal 3 binary64) (*.f64 v v))
00-0-(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
00-0-#s(literal 2 binary64)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 v v))
00-0-(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 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
66.0ms512×0valid
Compiler

Compiled 310 to 80 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 25.0ms (59.8% of total)
ival-sub: 7.0ms (16.7% of total)
ival-sqrt: 4.0ms (9.6% of total)
ival-div: 3.0ms (7.2% of total)
ival-pi: 2.0ms (4.8% of total)
exact: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Compiler

Compiled 30 to 19 computations (36.7% saved)

simplify236.0ms (1.9%)

Memory
-18.1MiB live, 415.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
✓cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
✓cost-diff320
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
Rules
5 098×lower-*.f32
5 084×lower-*.f64
4 848×lower-fma.f64
4 848×lower-fma.f32
3 484×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019123
032123
170123
2202113
3918113
44718113
57437113
08123105
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.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 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
#s(literal 3 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) (neg.f64 t) t))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) (neg.f64 t) t)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(*.f64 v (*.f64 v #s(literal 3 binary64)))
#s(literal 3 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize54.0ms (0.4%)

Memory
-6.0MiB live, 105.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 v v))
✓accuracy99.6%
(*.f64 (PI.f64) t)
✓accuracy99.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy99.2%
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
Samples
30.0ms256×0valid
Compiler

Compiled 125 to 21 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 10.0ms (50.9% of total)
ival-sub: 3.0ms (15.3% of total)
ival-sqrt: 3.0ms (15.3% of total)
ival-pi: 1.0ms (5.1% of total)
ival-div: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
12.8MiB live, 53.1MiB allocated
Counts
7 → 108
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))>
#<alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))>
#<alt (*.f64 (PI.f64) t)>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 v v))>
Outputs
#<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>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<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 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)>
#<alt (* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))>
#<alt (* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))>
#<alt (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))>
#<alt (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))>
#<alt (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))>
#<alt (* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))>
#<alt (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
Calls

27 calls:

TimeVariablePointExpression
6.0ms
t
@inf
(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
4.0ms
t
@0
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
3.0ms
v
@inf
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
2.0ms
v
@0
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
1.0ms
t
@0
(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

rewrite468.0ms (3.7%)

Memory
0.1MiB live, 640.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 648×lower-fma.f64
6 648×lower-fma.f32
6 256×lower-*.f32
6 242×lower-*.f64
3 752×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01973
03273
112873
292367
0872061
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 495
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))))
(*.f64 (PI.f64) t)
(*.f64 #s(literal 3 binary64) (*.f64 v v))
Outputs
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64))
(+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 6 binary64) (neg.f64 (*.f64 v v)) #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal -3 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 v v))) #s(literal 3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) v)) (neg.f64 v) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 v #s(literal -3 binary64))) v #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.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) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 9 binary64)))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (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 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64)))) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) #s(literal 2 binary64)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 9 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))) (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 (neg.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64))))) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) #s(literal 2 binary64))) (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 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 9 binary64)))) #s(literal 2 binary64))) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (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 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) #s(literal 2 binary64)) (/.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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 9 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(+.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)))))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 5 binary64) (neg.f64 (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 v v)) #s(literal 5 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 v) (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal 5 binary64)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal -5 binary64))) v #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) v #s(literal 1 binary64))
(neg.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -125 binary64))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -125 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (neg.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -125 binary64)))) (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))))
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(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
(*.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) t))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) t))
(*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 t (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) t) (PI.f64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (*.f64 v v))
(*.f64 v (*.f64 #s(literal 3 binary64) v))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) v) v)

simplify617.0ms (4.9%)

Memory
3.5MiB live, 824.9MiB allocated
Algorithm
1×egg-herbie
Rules
23 106×lower-fma.f64
23 106×lower-fma.f32
5 894×lower-*.f64
5 894×lower-*.f32
3 560×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01952113
15762013
224131898
080351805
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
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
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
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 (* t (* (PI) (sqrt 2))))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* t (* (PI) (sqrt 2)))
(+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))
(* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(* -6 (pow v 2))
(*.f64 #s(literal -6 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)))))
(* (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 #s(literal -6 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)))))
(* (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)))))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* -3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -3 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (*.f64 v v) (/.f64 #s(literal -5/2 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (/.f64 #s(literal -53/8 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -5/2 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal -241/16 binary64) (*.f64 v v) #s(literal -53/8 binary64))) (/.f64 #s(literal -5/2 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 v (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) t)) (/.f64 #s(literal 5 binary64) t)) (/.f64 #s(literal -5/18 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 (*.f64 v v) t)))) v)
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(*.f64 v (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal -3 binary64))))
(* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))
(*.f64 v (*.f64 t (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(*.f64 v (fma.f64 t (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(*.f64 v (fma.f64 t (fma.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64)))))
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))
(*.f64 t (*.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(*.f64 (*.f64 t (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))))) (neg.f64 v))
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(*.f64 (fma.f64 t (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64))) (neg.f64 v))
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
(neg.f64 (*.f64 v (fma.f64 t (fma.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64))))))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* 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))

eval84.0ms (0.7%)

Memory
-20.4MiB live, 185.6MiB allocated
Compiler

Compiled 26 573 to 2 056 computations (92.3% saved)

prune134.0ms (1.1%)

Memory
1.7MiB live, 122.2MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New59211603
Fresh000
Picked101
Done000
Total59311604
Accuracy
100.0%
Counts
604 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
▶99.4%
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶98.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
98.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.4%
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶99.6%
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
▶98.5%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
99.3%
(*.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
99.4%
(*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
99.5%
(*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
Compiler

Compiled 546 to 362 computations (33.7% saved)

simplify211.0ms (1.7%)

Memory
10.1MiB live, 359.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 v #s(literal -5 binary64))
✓cost-diff0
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) t))
✓cost-diff384
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(*.f64 #s(literal 5 binary64) (*.f64 v v))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(*.f64 #s(literal 5 binary64) (*.f64 v v))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
✓cost-diff0
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓cost-diff0
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
✓cost-diff320
(*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
✓cost-diff384
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Rules
6 656×lower-*.f32
6 626×lower-*.f64
3 112×lower-/.f32
3 098×lower-/.f64
2 978×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036385
067378
1138377
2412377
32149377
46036377
08319377
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(PI.f64)
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))
t
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(PI.f64)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t)
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
(PI.f64)
t
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) t))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(*.f64 (PI.f64) t)
(PI.f64)
t
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
Outputs
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (*.f64 v v) (neg.f64 (PI.f64)) (PI.f64)))))
(*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(PI.f64)
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(fma.f64 v (*.f64 v (neg.f64 t)) t)
t
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #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)
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(PI.f64)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 v (*.f64 v #s(literal 5 binary64)))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (*.f64 v v) (neg.f64 (PI.f64)) (PI.f64)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 v (*.f64 v #s(literal 5 binary64)))
#s(literal 5 binary64)
(*.f64 v v)
v
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 t (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (*.f64 v v) (neg.f64 (PI.f64)) (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #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)
(PI.f64)
t
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (*.f64 v v) (neg.f64 (PI.f64)) (PI.f64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) t))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(*.f64 (PI.f64) t)
(PI.f64)
t
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
#s(literal -6 binary64)
(*.f64 v v)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize193.0ms (1.5%)

Memory
-11.0MiB live, 274.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
✓accuracy99.6%
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) t))
✓accuracy99.6%
(*.f64 (PI.f64) t)
✓accuracy99.2%
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy100.0%
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
✓accuracy99.8%
(*.f64 #s(literal 5 binary64) (*.f64 v v))
✓accuracy99.7%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t)
✓accuracy99.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy99.8%
(*.f64 #s(literal 5 binary64) (*.f64 v v))
✓accuracy99.6%
(*.f64 (PI.f64) t)
✓accuracy99.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy99.2%
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓accuracy99.4%
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.2%
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy100.0%
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
✓accuracy99.3%
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓accuracy99.2%
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
Samples
73.0ms256×0valid
Compiler

Compiled 408 to 40 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 22.0ms (47.7% of total)
ival-div: 11.0ms (23.8% of total)
ival-sub: 5.0ms (10.8% of total)
ival-sqrt: 3.0ms (6.5% of total)
ival-add: 2.0ms (4.3% of total)
ival-pi: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.3%)

Memory
-6.7MiB live, 67.1MiB allocated
Counts
22 → 348
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))>
#<alt (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))>
#<alt (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))>
#<alt (PI.f64)>
#<alt (*.f64 t (sqrt.f64 #s(literal 2 binary64)))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 v v))>
#<alt (*.f64 v v)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))>
#<alt (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))>
#<alt (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) t))>
#<alt (*.f64 v #s(literal -5 binary64))>
#<alt (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))>
#<alt (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))>
#<alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (PI.f64) t)>
#<alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t)>
Outputs
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)>
#<alt (* -5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (/ 1 (PI))>
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))>
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))>
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))>
#<alt (* -5 (/ (pow v 2) (PI)))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt (* -5 (/ (pow v 2) (PI)))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt (/ 1 (PI))>
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))>
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))>
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))>
#<alt (* -5 (/ (pow v 2) (PI)))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt (* -5 (/ (pow v 2) (PI)))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))>
#<alt 1>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
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#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* v (sqrt -6))>
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt (* t (- 1 (pow v 2)))>
#<alt (* t (- 1 (pow v 2)))>
#<alt (* t (- 1 (pow v 2)))>
#<alt (* t (- 1 (pow v 2)))>
#<alt (* t (- 1 (pow v 2)))>
#<alt (* t (- 1 (pow v 2)))>
#<alt (* t (- 1 (pow v 2)))>
#<alt (* t (- 1 (pow v 2)))>
#<alt (* t (- 1 (pow v 2)))>
#<alt (* t (- 1 (pow v 2)))>
#<alt (* t (- 1 (pow v 2)))>
#<alt (* t (- 1 (pow v 2)))>
#<alt t>
#<alt (+ t (* -1 (* t (pow v 2))))>
#<alt (+ t (* -1 (* t (pow v 2))))>
#<alt (+ t (* -1 (* t (pow v 2))))>
#<alt (* -1 (* t (pow v 2)))>
#<alt (* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))>
#<alt (* -1 (* t (pow v 2)))>
#<alt (* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))>
#<alt (* t (* v (* (PI) (sqrt -6))))>
#<alt (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))>
#<alt (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))>
#<alt (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* t (* v (* (PI) (sqrt -6)))))>
#<alt (* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
Calls

87 calls:

TimeVariablePointExpression
5.0ms
v
@inf
(/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
4.0ms
v
@inf
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt 2)) (- 1 (* v v))))
2.0ms
t
@0
(/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
2.0ms
v
@0
(/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
1.0ms
v
@inf
(sqrt (+ (* -6 (* v v)) 2))

rewrite811.0ms (6.5%)

Memory
30.2MiB live, 781.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 548×lower-/.f32
4 534×lower-/.f64
3 728×lower-*.f32
3 698×lower-*.f64
3 132×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036215
067209
1249208
21890207
08529207
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 1 452
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(PI.f64)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 v v)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) t))
(*.f64 v #s(literal -5 binary64))
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (PI.f64) t)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))) (neg.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (PI.f64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))) (/.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64))) (fma.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))) (/.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t))))) (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 (PI.f64)))) (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 (PI.f64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 (*.f64 (PI.f64) t)))) (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 (*.f64 (PI.f64) t)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (PI.f64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t))) (fma.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t))) (fma.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)))))
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(*.f64 (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) t)
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -12 binary64)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64))) (sqrt.f64 (-.f64 (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -12 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (*.f64 (*.f64 v v) #s(literal -12 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 v (*.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 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -12 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -12 binary64))))))
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(pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.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 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
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(*.f64 (sqrt.f64 (fma.f64 (*.f64 v (*.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)))
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(+.f64 t (*.f64 t (*.f64 v (neg.f64 v))))
(+.f64 t (*.f64 (*.f64 v (neg.f64 v)) t))
(fma.f64 #s(literal 1 binary64) t (*.f64 t (*.f64 v (neg.f64 v))))
(fma.f64 #s(literal 1 binary64) t (*.f64 (*.f64 v (neg.f64 v)) t))
(fma.f64 t #s(literal 1 binary64) (*.f64 t (*.f64 v (neg.f64 v))))
(fma.f64 t #s(literal 1 binary64) (*.f64 (*.f64 v (neg.f64 v)) t))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) t)))
(/.f64 t (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal -1 binary64))
(/.f64 (*.f64 t (-.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 t (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) t) (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) t) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))) (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (neg.f64 (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) t)) (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) t)) (neg.f64 (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 t (*.f64 v (neg.f64 v))) #s(literal 3 binary64))) (fma.f64 t t (-.f64 (*.f64 (*.f64 t (*.f64 v (neg.f64 v))) (*.f64 t (*.f64 v (neg.f64 v)))) (*.f64 t (*.f64 t (*.f64 v (neg.f64 v)))))))
(/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 v (neg.f64 v)) t) #s(literal 3 binary64))) (fma.f64 t t (-.f64 (*.f64 (*.f64 (*.f64 v (neg.f64 v)) t) (*.f64 (*.f64 v (neg.f64 v)) t)) (*.f64 t (*.f64 (*.f64 v (neg.f64 v)) t)))))
(/.f64 (-.f64 (*.f64 t t) (*.f64 (*.f64 t (*.f64 v (neg.f64 v))) (*.f64 t (*.f64 v (neg.f64 v))))) (-.f64 t (*.f64 t (*.f64 v (neg.f64 v)))))
(/.f64 (-.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 v (neg.f64 v)) t) (*.f64 (*.f64 v (neg.f64 v)) t))) (-.f64 t (*.f64 (*.f64 v (neg.f64 v)) t)))
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 1 binary64))
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) t) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) t) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) t))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) t))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(pow.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) t))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) t))) #s(literal -1 binary64))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (PI.f64) t)))
(neg.f64 (neg.f64 (*.f64 (PI.f64) t)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)))
(/.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) t)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
(*.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (PI.f64) t)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) t))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) t))
(*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) t))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) t)))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) t))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) t)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) #s(literal 1 binary64))
(*.f64 (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (PI.f64))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) t) (PI.f64))

simplify932.0ms (7.4%)

Memory
-0.2MiB live, 683.0MiB allocated
Algorithm
1×egg-herbie
Rules
14 624×lower-fma.f64
14 624×lower-fma.f32
7 430×lower-*.f64
7 430×lower-*.f32
4 802×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03766841
111486361
245036285
092086003
Stop Event
1×iter limit
1×node limit
Counts
348 → 347
Calls
Call 1
Inputs
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
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(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ 1 (* t (PI)))
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(* -5 (/ (pow v 2) (* t (PI))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* -5 (/ (pow v 2) (* t (PI))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt 2))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2))))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (* 3 (/ t (sqrt 2)))))))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (+ (* 3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ t (pow (sqrt 2) 5))) (* 9/2 (/ t (pow (sqrt 2) 3))))))))))))
(* -1 (* t (* (pow v 3) (sqrt -6))))
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))
(* t (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
(* t (- 1 (pow v 2)))
t
(+ t (* -1 (* t (pow v 2))))
(+ t (* -1 (* t (pow v 2))))
(+ t (* -1 (* t (pow v 2))))
(* -1 (* t (pow v 2)))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* -1 (* t (pow v 2)))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (* (PI) (sqrt 2)))
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))
(* t (* v (* (PI) (sqrt -6))))
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(* -1 (* t (* v (* (PI) (sqrt -6)))))
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
Outputs
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) #s(literal -4 binary64) (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 v (*.f64 v (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) #s(literal -4 binary64) (fma.f64 (*.f64 v v) (+.f64 (fma.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 #s(literal -27/4 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 135/32 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 27/16 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (*.f64 (PI.f64) v)))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (PI.f64))) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 v v) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (*.f64 t (PI.f64)) (*.f64 (*.f64 v v) (*.f64 v v))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -5/144 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))))) (+.f64 (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 v v) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(/.f64 (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (*.f64 t (PI.f64)) (*.f64 (*.f64 v v) (*.f64 v v))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (PI.f64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v #s(literal 6 binary64)))))) (+.f64 (/.f64 #s(literal -5/144 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))) (/.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 6 binary64))))))) (-.f64 (/.f64 #s(literal -25/2592 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 5/36 binary64) (*.f64 (*.f64 v v) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 6 binary64))))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
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(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))))
(*.f64 (-.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (fma.f64 t (sqrt.f64 #s(literal -6 binary64)) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))
(*.f64 (-.f64 (fma.f64 t (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)) (fma.f64 #s(literal -1/12 binary64) (/.f64 t (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 t (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))) (fma.f64 t (sqrt.f64 #s(literal -6 binary64)) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))))
(*.f64 (-.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (fma.f64 t (/.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 v v)) (fma.f64 #s(literal -1/12 binary64) (/.f64 t (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 t (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))))) (fma.f64 t (sqrt.f64 #s(literal -6 binary64)) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 (*.f64 v (*.f64 v v))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 v v) (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 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 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 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal -27/2 binary64) (*.f64 v (/.f64 v (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 (/.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (*.f64 v (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.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 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.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 (*.f64 v 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 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.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)))))))
(neg.f64 (*.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 (/.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 (*.f64 v v) (*.f64 v v)) (*.f64 #s(literal 6 binary64) (sqrt.f64 #s(literal -6 binary64))))))))))
(* t (- 1 (pow v 2)))
(-.f64 t (*.f64 t (*.f64 v v)))
(* t (- 1 (pow v 2)))
(-.f64 t (*.f64 t (*.f64 v v)))
(* t (- 1 (pow v 2)))
(-.f64 t (*.f64 t (*.f64 v v)))
(* t (- 1 (pow v 2)))
(-.f64 t (*.f64 t (*.f64 v v)))
(* t (- 1 (pow v 2)))
(-.f64 t (*.f64 t (*.f64 v v)))
(* t (- 1 (pow v 2)))
(-.f64 t (*.f64 t (*.f64 v v)))
(* t (- 1 (pow v 2)))
(-.f64 t (*.f64 t (*.f64 v v)))
(* t (- 1 (pow v 2)))
(-.f64 t (*.f64 t (*.f64 v v)))
(* t (- 1 (pow v 2)))
(-.f64 t (*.f64 t (*.f64 v v)))
(* t (- 1 (pow v 2)))
(-.f64 t (*.f64 t (*.f64 v v)))
(* t (- 1 (pow v 2)))
(-.f64 t (*.f64 t (*.f64 v v)))
(* t (- 1 (pow v 2)))
(-.f64 t (*.f64 t (*.f64 v v)))
t
(+ t (* -1 (* t (pow v 2))))
(-.f64 t (*.f64 t (*.f64 v v)))
(+ t (* -1 (* t (pow v 2))))
(-.f64 t (*.f64 t (*.f64 v v)))
(+ t (* -1 (* t (pow v 2))))
(-.f64 t (*.f64 t (*.f64 v v)))
(* -1 (* t (pow v 2)))
(neg.f64 (*.f64 t (*.f64 v v)))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(*.f64 v (*.f64 v (-.f64 (/.f64 t (*.f64 v v)) t)))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(*.f64 v (*.f64 v (-.f64 (/.f64 t (*.f64 v v)) t)))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(*.f64 v (*.f64 v (-.f64 (/.f64 t (*.f64 v v)) t)))
(* -1 (* t (pow v 2)))
(neg.f64 (*.f64 t (*.f64 v v)))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(*.f64 v (*.f64 v (-.f64 (/.f64 t (*.f64 v v)) t)))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(*.f64 v (*.f64 v (-.f64 (/.f64 t (*.f64 v v)) t)))
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2))))
(*.f64 v (*.f64 v (-.f64 (/.f64 t (*.f64 v v)) t)))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))
(fma.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 t #s(literal -3 binary64)) (*.f64 (PI.f64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))
(fma.f64 (*.f64 v v) (fma.f64 t (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64)) (*.f64 (/.f64 (*.f64 t (*.f64 (PI.f64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -27/2 binary64) (/.f64 (*.f64 t (*.f64 (PI.f64) (*.f64 v v))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64))) (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(* t (* v (* (PI) (sqrt -6))))
(*.f64 t (*.f64 v (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))
(*.f64 v (*.f64 t (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(*.f64 v (fma.f64 t (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 t (PI.f64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(*.f64 v (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 t (PI.f64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) (fma.f64 t (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))))
(* -1 (* t (* v (* (PI) (sqrt -6)))))
(*.f64 (neg.f64 t) (*.f64 v (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(*.f64 v (*.f64 (neg.f64 t) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(*.f64 v (neg.f64 (fma.f64 t (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 t (PI.f64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))))))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))
(neg.f64 (*.f64 v (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 t (PI.f64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) (fma.f64 t (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))

eval664.0ms (5.3%)

Memory
-1.6MiB live, 580.4MiB allocated
Compiler

Compiled 89 660 to 4 399 computations (95.1% saved)

prune431.0ms (3.4%)

Memory
-5.4MiB live, 445.8MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New2 461142 475
Fresh606
Picked415
Done000
Total2 471152 486
Accuracy
100.0%
Counts
2 486 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶98.6%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
98.5%
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
99.4%
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
▶98.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
98.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
98.5%
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
▶98.7%
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
98.7%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
98.7%
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
▶98.2%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
98.7%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
98.5%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
✓98.5%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
99.4%
(*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))))
Compiler

Compiled 468 to 347 computations (25.9% saved)

simplify332.0ms (2.7%)

Memory
15.9MiB live, 433.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) t)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
✓cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (PI.f64))
✓cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 t (PI.f64))
✓cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
✓cost-diff0
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Rules
5 472×lower-fma.f32
5 468×lower-fma.f64
4 266×lower-*.f32
4 248×lower-*.f64
2 038×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030214
055214
196214
2201214
3600214
41625214
52656214
64770214
77256214
08241214
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t)
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
(PI.f64)
t
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 t (PI.f64))
t
(PI.f64)
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
#s(literal 1 binary64)
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
Outputs
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 t (fma.f64 v v #s(literal -1 binary64))) (PI.f64)))))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 t (fma.f64 v v #s(literal -1 binary64))) (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #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)
(PI.f64)
t
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 t (PI.f64))
(*.f64 (PI.f64) t)
t
(PI.f64)
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
#s(literal 1 binary64)
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(neg.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize118.0ms (0.9%)

Memory
24.7MiB live, 312.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy99.6%
(*.f64 (PI.f64) t)
✓accuracy99.6%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy99.2%
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
✓accuracy99.6%
(*.f64 (PI.f64) t)
✓accuracy99.2%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.3%
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.2%
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(*.f64 t (PI.f64))
✓accuracy99.4%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
✓accuracy100.0%
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))
✓accuracy100.0%
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t)
✓accuracy99.6%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Samples
60.0ms256×0valid
Compiler

Compiled 226 to 34 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 18.0ms (45.5% of total)
ival-div: 9.0ms (22.8% of total)
ival-sqrt: 6.0ms (15.2% of total)
ival-pi: 2.0ms (5.1% of total)
ival-add: 2.0ms (5.1% of total)
ival-sub: 1.0ms (2.5% of total)
exact: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
-4.5MiB live, 72.3MiB allocated
Counts
21 → 264
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))>
#<alt (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))>
#<alt (*.f64 v v)>
#<alt (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))>
#<alt (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (*.f64 t (PI.f64))>
#<alt (PI.f64)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (PI.f64))>
#<alt (*.f64 t (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))>
#<alt (*.f64 (PI.f64) t)>
#<alt (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))>
#<alt (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))>
#<alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t)>
#<alt (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))>
Outputs
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)>
#<alt (* -5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt 1>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<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 (* t (* (PI) (sqrt 2)))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))))))>
#<alt (* -1 (* t (* (pow v 3) (* (PI) (sqrt -6)))))>
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))>
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))>
#<alt (* t (* (pow v 3) (* (PI) (sqrt -6))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (/ 5 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))>
#<alt (/ 5 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))>
#<alt (* t (* v (* (PI) (sqrt -6))))>
#<alt (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))>
#<alt (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))>
#<alt (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* t (* v (* (PI) (sqrt -6)))))>
#<alt (* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* v (sqrt -6))>
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt (* (PI) (sqrt 2))>
#<alt (+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))>
#<alt (* v (* (PI) (sqrt -6)))>
#<alt (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))>
#<alt (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))>
#<alt (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (* (PI) (sqrt -6))))>
#<alt (* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
Calls

66 calls:

TimeVariablePointExpression
6.0ms
v
@inf
(* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))
4.0ms
t
@inf
(/ (/ 1 (* (PI) t)) (sqrt 2))
2.0ms
v
@0
(/ (+ (* (* v v) -5) 1) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))))
1.0ms
t
@0
(/ (+ (* (* v v) -5) 1) (* (* (* (PI) t) (sqrt 2)) (- 1 (* v v))))
0.0ms
t
@inf
(/ (sqrt 1/2) (* t (PI)))

rewrite454.0ms (3.6%)

Memory
-1.8MiB live, 766.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 092×lower-*.f32
5 074×lower-*.f64
5 000×lower-fma.f32
4 996×lower-fma.f64
4 456×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030159
055159
1202157
21264157
08598157
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 1 366
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(*.f64 v v)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 t (PI.f64))
(PI.f64)
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
(*.f64 (PI.f64) t)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (*.f64 v v) #s(literal -5 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.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 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.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 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.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 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 v v)))
(+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 v v)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))) (*.f64 (*.f64 v (fma.f64 v (*.f64 v v) v)) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))))
(+.f64 (*.f64 (*.f64 v (fma.f64 v (*.f64 v v) v)) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))))
(+.f64 (*.f64 (*.f64 v v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 t (neg.f64 (*.f64 v v)) t)))) (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(-.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 v v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (*.f64 v (fma.f64 v (*.f64 v v) v)) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 t (neg.f64 (*.f64 v v)) t)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(fma.f64 (*.f64 v (fma.f64 v (*.f64 v v) v)) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (*.f64 v v) #s(literal -5 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (*.f64 v v) #s(literal -5 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 1 binary64)))
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(/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 (*.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 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 12 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 v v) (*.f64 (*.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 #s(literal -36 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 12 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 (*.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))
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(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 12 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 12 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 (*.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 (*.f64 v v) (*.f64 (*.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 (*.f64 v v) (*.f64 (*.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)))
(exp.f64 (fma.f64 (log.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (neg.f64 (PI.f64))) #s(literal -1 binary64))
(/.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64)))) (sqrt.f64 (+.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal 12 binary64)))))
(/.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 (*.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 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (PI.f64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (*.f64 (pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) t)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t))) (neg.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(neg.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)))
(/.f64 (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (PI.f64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (PI.f64) t)))
(*.f64 (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 (PI.f64) t)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 t (/.f64 #s(literal -1 binary64) (PI.f64))))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (PI.f64)))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) t)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (PI.f64) t) #s(literal -1/2 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (PI.f64) t) #s(literal -1/2 binary64))))
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64))))
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 t (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/3 binary64))))
(*.f64 (/.f64 t (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (/.f64 t (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 t (pow.f64 (PI.f64) #s(literal -1/3 binary64))))
(*.f64 (/.f64 (neg.f64 t) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64))))

simplify961.0ms (7.7%)

Memory
9.2MiB live, 643.3MiB allocated
Algorithm
1×egg-herbie
Rules
16 122×lower-fma.f64
16 122×lower-fma.f32
6 930×lower-*.f64
6 930×lower-*.f32
3 740×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03794439
111954227
248924196
085694022
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(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)
(* t (* (PI) (sqrt 2)))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))))))
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6)))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))
(* t (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(/ 5 (* t (* (PI) (sqrt 2))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(/ 5 (* t (* (PI) (sqrt 2))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (sqrt 2)))
(+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))
(+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))
(+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))
(* -1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))
(* t (* (PI) (sqrt 2)))
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))
(* t (* v (* (PI) (sqrt -6))))
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(* -1 (* t (* v (* (PI) (sqrt -6)))))
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* (PI) (sqrt 2))
(+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))
(* v (* (PI) (sqrt -6)))
(* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (* (PI) (sqrt -6))))
(* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
Outputs
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
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(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 v v) (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 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 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 #s(literal -27/2 binary64) (/.f64 (*.f64 v v) (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 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.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 (*.f64 v 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 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.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)))))))
(neg.f64 (*.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 (*.f64 v v) (*.f64 v v)) (*.f64 #s(literal 6 binary64) (sqrt.f64 #s(literal -6 binary64)))))))))
(* (PI) (sqrt 2))
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))
(fma.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 v v)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))
(fma.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* v (* (PI) (sqrt -6)))
(*.f64 (PI.f64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))
(*.f64 v (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(*.f64 v (fma.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(*.f64 v (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (fma.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))))
(* -1 (* v (* (PI) (sqrt -6))))
(*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 (PI.f64) (neg.f64 v)))
(* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(*.f64 (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (neg.f64 v))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 v))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (fma.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))) (neg.f64 v))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))

eval619.0ms (4.9%)

Memory
-223.7MiB live, 649.9MiB allocated
Compiler

Compiled 51 977 to 4 547 computations (91.3% saved)

prune226.0ms (1.8%)

Memory
29.5MiB live, 706.4MiB allocated
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New2 06872 075
Fresh639
Picked235
Done011
Total2 076142 090
Accuracy
100.0%
Counts
2 090 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
✓99.5%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶98.5%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
▶98.7%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
▶99.8%
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (fma.f64 t (neg.f64 (*.f64 v v)) t))
▶98.2%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
99.0%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t)
✓98.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
98.7%
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓98.2%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
98.5%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
✓98.5%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
99.4%
(*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))))
▶98.2%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
Compiler

Compiled 386 to 285 computations (26.2% saved)

simplify171.0ms (1.4%)

Memory
-18.4MiB live, 429.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
✓cost-diff0
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
✓cost-diff384
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) t)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)))
✓cost-diff384
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (fma.f64 t (neg.f64 (*.f64 v v)) t))
Rules
3 946×lower-fma.f32
3 940×lower-fma.f64
2 788×lower-*.f32
2 768×lower-*.f64
1 964×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033236
062238
1111234
2218234
3547234
41358234
52231234
64213234
76177234
08081234
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (fma.f64 t (neg.f64 (*.f64 v v)) t))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))
(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 v #s(literal -6 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
(PI.f64)
(fma.f64 t (neg.f64 (*.f64 v v)) t)
t
(neg.f64 (*.f64 v v))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
#s(literal 1 binary64)
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
t
(PI.f64)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
t
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(PI.f64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(PI.f64)
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
Outputs
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (fma.f64 t (neg.f64 (*.f64 v v)) t))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 v (neg.f64 v) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))
(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 v #s(literal -6 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)
(PI.f64)
(fma.f64 t (neg.f64 (*.f64 v v)) t)
(-.f64 t (*.f64 (*.f64 v v) t))
t
(neg.f64 (*.f64 v v))
(*.f64 v (neg.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
#s(literal 1 binary64)
(*.f64 (PI.f64) t)
(PI.f64)
t
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
t
(PI.f64)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
t
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(PI.f64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(neg.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 t (fma.f64 v v #s(literal -1 binary64)))))))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) t) (fma.f64 v (neg.f64 v) #s(literal 1 binary64))))
(PI.f64)
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 t (*.f64 (*.f64 v v) t)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(fma.f64 v (neg.f64 v) #s(literal 1 binary64))

localize176.0ms (1.4%)

Memory
-7.1MiB live, 357.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy99.6%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
✓accuracy99.4%
(*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy99.2%
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.6%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
✓accuracy99.3%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
✓accuracy99.6%
(*.f64 (PI.f64) t)
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)))
✓accuracy100.0%
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))
✓accuracy100.0%
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
✓accuracy99.8%
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (fma.f64 t (neg.f64 (*.f64 v v)) t))
Samples
88.0ms256×0valid
Compiler

Compiled 252 to 38 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 18.0ms (40% of total)
ival-div: 10.0ms (22.2% of total)
ival-sqrt: 9.0ms (20% of total)
ival-add: 3.0ms (6.7% of total)
ival-pi: 2.0ms (4.4% of total)
ival-sub: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series71.0ms (0.6%)

Memory
2.4MiB live, 41.2MiB allocated
Counts
20 → 264
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (fma.f64 t (neg.f64 (*.f64 v v)) t))>
#<alt (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)))>
#<alt (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))>
#<alt (*.f64 v v)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))>
#<alt (*.f64 (PI.f64) t)>
#<alt (PI.f64)>
#<alt (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))>
#<alt (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))>
#<alt (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))>
#<alt (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (*.f64 t (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))>
Outputs
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)>
#<alt (* -5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* -1 (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))>
#<alt (* -1 (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))>
#<alt (* -1 (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))>
#<alt (* -1 (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))>
#<alt (/ (sqrt 1/2) (PI))>
#<alt (+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (/ (sqrt 1/2) (PI)))>
#<alt (+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 15/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI)))>
#<alt (+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* (pow v 2) (+ (* -5/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2))))))) (* 15/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI)))>
#<alt (* -5 (/ (* v (sqrt -1/6)) (PI)))>
#<alt (* v (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI))))))>
#<alt (* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))>
#<alt (* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))>
#<alt (* 5 (/ (* v (sqrt -1/6)) (PI)))>
#<alt (* -1 (* v (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))))>
#<alt (* -1 (* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6))))))))>
#<alt (* -1 (* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6))))))))>
#<alt 1>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<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 (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (/ 5 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))>
#<alt (/ 5 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))>
#<alt (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 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)))))))>
#<alt (* (PI) (sqrt 2))>
#<alt (+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))>
#<alt (* v (* (PI) (sqrt -6)))>
#<alt (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))>
#<alt (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))>
#<alt (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (* (PI) (sqrt -6))))>
#<alt (* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (* (sqrt 2) (- 1 (pow v 2))))>
#<alt (* t (* (sqrt 2) (- 1 (pow v 2))))>
#<alt (* t (* (sqrt 2) (- 1 (pow v 2))))>
#<alt (* t (* (sqrt 2) (- 1 (pow v 2))))>
#<alt (* t (* (sqrt 2) (- 1 (pow v 2))))>
#<alt (* t (* (sqrt 2) (- 1 (pow v 2))))>
#<alt (* t (* (sqrt 2) (- 1 (pow v 2))))>
#<alt (* t (* (sqrt 2) (- 1 (pow v 2))))>
#<alt (* t (* (sqrt 2) (- 1 (pow v 2))))>
#<alt (* t (* (sqrt 2) (- 1 (pow v 2))))>
#<alt (* t (* (sqrt 2) (- 1 (pow v 2))))>
#<alt (* t (* (sqrt 2) (- 1 (pow v 2))))>
#<alt (* t (sqrt 2))>
#<alt (+ (* -1 (* t (* (pow v 2) (sqrt 2)))) (* t (sqrt 2)))>
#<alt (+ (* -1 (* t (* (pow v 2) (sqrt 2)))) (* t (sqrt 2)))>
#<alt (+ (* -1 (* t (* (pow v 2) (sqrt 2)))) (* t (sqrt 2)))>
#<alt (* -1 (* t (* (pow v 2) (sqrt 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (sqrt 2))) (/ (* t (sqrt 2)) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (sqrt 2))) (/ (* t (sqrt 2)) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (sqrt 2))) (/ (* t (sqrt 2)) (pow v 2))))>
#<alt (* -1 (* t (* (pow v 2) (sqrt 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (sqrt 2))) (/ (* t (sqrt 2)) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (sqrt 2))) (/ (* t (sqrt 2)) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (* t (sqrt 2))) (/ (* t (sqrt 2)) (pow v 2))))>
Calls

66 calls:

TimeVariablePointExpression
54.0ms
t
@0
(/ (/ (sqrt 1/2) t) (PI))
2.0ms
t
@0
(/ (/ (+ (* (* v v) -5) 1) (* (sqrt (+ (* v (* v -6)) 2)) (PI))) (+ (* t (neg (* v v))) t))
1.0ms
t
@inf
(/ (/ (+ (* (* v v) -5) 1) (* (sqrt (+ (* v (* v -6)) 2)) (PI))) (+ (* t (neg (* v v))) t))
1.0ms
t
@-inf
(/ (/ (+ (* (* v v) -5) 1) (* (sqrt (+ (* v (* v -6)) 2)) (PI))) (+ (* t (neg (* v v))) t))
1.0ms
v
@inf
(/ (+ (* (* v v) -5) 1) (* (sqrt (+ (* v (* v -6)) 2)) (PI)))

rewrite472.0ms (3.8%)

Memory
13.2MiB live, 607.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 638×lower-fma.f32
5 632×lower-fma.f64
4 442×lower-*.f32
4 422×lower-*.f64
3 820×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033160
062162
1224158
21521158
08468158
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 122
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (fma.f64 t (neg.f64 (*.f64 v v)) t))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(*.f64 v v)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
(*.f64 (PI.f64) t)
(PI.f64)
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
Outputs
(+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))) (*.f64 (*.f64 t t) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))) (*.f64 t (+.f64 t (*.f64 (*.f64 v v) t)))))
(+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))) (*.f64 t (+.f64 t (*.f64 (*.f64 v v) t)))) (*.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))) (*.f64 (*.f64 t t) (*.f64 v (*.f64 v (*.f64 v v))))))
(+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (*.f64 (fma.f64 (*.f64 v v) t t) (-.f64 (*.f64 (*.f64 v v) t) t))) (neg.f64 (*.f64 (*.f64 v v) t))) (*.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (*.f64 (fma.f64 (*.f64 v v) t t) (-.f64 (*.f64 (*.f64 v v) t) t))) (neg.f64 t)))
(+.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))))) (*.f64 (*.f64 t (+.f64 t (*.f64 (*.f64 v v) t))) (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))))))
(+.f64 (*.f64 (*.f64 t (+.f64 t (*.f64 (*.f64 v v) t))) (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))))) (*.f64 (*.f64 (*.f64 t t) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))))))
(+.f64 (*.f64 (neg.f64 (*.f64 (*.f64 v v) t)) (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (*.f64 (fma.f64 (*.f64 v v) t t) (-.f64 (*.f64 (*.f64 v v) t) t)))) (*.f64 (neg.f64 t) (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (*.f64 (fma.f64 (*.f64 v v) t t) (-.f64 (*.f64 (*.f64 v v) t) t)))))
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(fma.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (*.f64 (neg.f64 (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 v v))) t))
(fma.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) t))
(fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 v v))))
(fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 v v)))))
(fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (neg.f64 (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 v v))) t))
(fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) t))
(fma.f64 (neg.f64 (*.f64 v v)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 v v))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 v v)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (*.f64 t (*.f64 (neg.f64 (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 v v))) t))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (*.f64 (*.f64 (neg.f64 (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) t))
(fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 v v))))
(fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 v v)))))
(fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 t (*.f64 (neg.f64 (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 v v))) t))
(fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) t))
(fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 v v)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 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 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))) (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (fma.f64 v (neg.f64 v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 v (neg.f64 v) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 v v))) #s(literal 3 binary64))) (fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 v v))) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 v v)))) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 v v)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 v v))) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 v v))))) (-.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 v v)))))
(/.f64 (-.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (-.f64 t (*.f64 (*.f64 v v) t)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 t (*.f64 (*.f64 v v) t)))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t)
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))

simplify403.0ms (3.2%)

Memory
-14.3MiB live, 858.0MiB allocated
Algorithm
1×egg-herbie
Rules
13 014×lower-fma.f64
13 014×lower-fma.f32
6 228×lower-*.f64
6 228×lower-*.f32
3 950×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03714361
111364063
243744055
081513916
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (+ 1 (* -1 (pow v 2)))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* -1 (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* -1 (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* -1 (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(* -1 (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))))
(/ (sqrt 1/2) (PI))
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 15/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI)))
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* (pow v 2) (+ (* -5/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2))))))) (* 15/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI)))
(* -5 (/ (* v (sqrt -1/6)) (PI)))
(* v (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI))))))
(* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))
(* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))
(* 5 (/ (* v (sqrt -1/6)) (PI)))
(* -1 (* v (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))))
(* -1 (* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6))))))))
(* -1 (* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6))))))))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(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)
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(/ 5 (* t (* (PI) (sqrt 2))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(/ 5 (* t (* (PI) (sqrt 2))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))
(* t (* (PI) (sqrt 2)))
(+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))
(+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))
(+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))
(* -1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))
(* -1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 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)))))))
(* (PI) (sqrt 2))
(+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))
(* v (* (PI) (sqrt -6)))
(* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (* (PI) (sqrt -6))))
(* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (* (sqrt 2) (- 1 (pow v 2))))
(* t (* (sqrt 2) (- 1 (pow v 2))))
(* t (* (sqrt 2) (- 1 (pow v 2))))
(* t (* (sqrt 2) (- 1 (pow v 2))))
(* t (* (sqrt 2) (- 1 (pow v 2))))
(* t (* (sqrt 2) (- 1 (pow v 2))))
(* t (* (sqrt 2) (- 1 (pow v 2))))
(* t (* (sqrt 2) (- 1 (pow v 2))))
(* t (* (sqrt 2) (- 1 (pow v 2))))
(* t (* (sqrt 2) (- 1 (pow v 2))))
(* t (* (sqrt 2) (- 1 (pow v 2))))
(* t (* (sqrt 2) (- 1 (pow v 2))))
(* t (sqrt 2))
(+ (* -1 (* t (* (pow v 2) (sqrt 2)))) (* t (sqrt 2)))
(+ (* -1 (* t (* (pow v 2) (sqrt 2)))) (* t (sqrt 2)))
(+ (* -1 (* t (* (pow v 2) (sqrt 2)))) (* t (sqrt 2)))
(* -1 (* t (* (pow v 2) (sqrt 2))))
(* (pow v 2) (+ (* -1 (* t (sqrt 2))) (/ (* t (sqrt 2)) (pow v 2))))
(* (pow v 2) (+ (* -1 (* t (sqrt 2))) (/ (* t (sqrt 2)) (pow v 2))))
(* (pow v 2) (+ (* -1 (* t (sqrt 2))) (/ (* t (sqrt 2)) (pow v 2))))
(* -1 (* t (* (pow v 2) (sqrt 2))))
(* (pow v 2) (+ (* -1 (* t (sqrt 2))) (/ (* t (sqrt 2)) (pow v 2))))
(* (pow v 2) (+ (* -1 (* t (sqrt 2))) (/ (* t (sqrt 2)) (pow v 2))))
(* (pow v 2) (+ (* -1 (* t (sqrt 2))) (/ (* t (sqrt 2)) (pow v 2))))
Outputs
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) #s(literal -4 binary64) (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))))) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal 27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))) (fma.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 #s(literal -27/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))) (/.f64 #s(literal 135/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))))) (/.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (*.f64 (PI.f64) v)))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (PI.f64))) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 t (*.f64 v v)))) (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/.f64 (+.f64 (/.f64 #s(literal -5/144 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (*.f64 (*.f64 v v) (*.f64 v v))))) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 t (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 (*.f64 v v) (*.f64 v v)))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (PI.f64))) (-.f64 (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (*.f64 (*.f64 v v) (*.f64 v v))))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(/.f64 (+.f64 (/.f64 #s(literal -25/2592 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 6 binary64))))) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 (*.f64 v v) (*.f64 v v))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64)))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (PI.f64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (*.f64 t (*.f64 v v)))))) (+.f64 (/.f64 #s(literal -5/144 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (*.f64 (*.f64 v v) (*.f64 v v))))) (/.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 6 binary64))))))) (+.f64 (-.f64 (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (*.f64 (*.f64 v v) (*.f64 v v)))))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 6 binary64)))))))) v)
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(* (pow v 2) (+ (* -1 (* t (sqrt 2))) (/ (* t (sqrt 2)) (pow v 2))))
(*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(* (pow v 2) (+ (* -1 (* t (sqrt 2))) (/ (* t (sqrt 2)) (pow v 2))))
(*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))

eval226.0ms (1.8%)

Memory
15.1MiB live, 486.0MiB allocated
Compiler

Compiled 44 317 to 3 928 computations (91.1% saved)

prune202.0ms (1.6%)

Memory
-2.9MiB live, 472.5MiB allocated
Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New1 84131 844
Fresh235
Picked055
Done044
Total1 843151 858
Accuracy
100.0%
Counts
1 858 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
✓99.5%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓98.5%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
✓98.7%
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
✓99.8%
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (fma.f64 t (neg.f64 (*.f64 v v)) t))
✓98.2%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
99.0%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t)
✓98.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
✓98.2%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
98.5%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
✓98.5%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
99.5%
(*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (-.f64 (*.f64 (*.f64 v v) t) t))))
98.5%
(*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
98.6%
(*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) t))
✓98.2%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
Compiler

Compiled 872 to 308 computations (64.7% saved)

regimes55.0ms (0.4%)

Memory
5.3MiB live, 95.2MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) t))
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (-.f64 (*.f64 (*.f64 v v) t) t))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (fma.f64 t (neg.f64 (*.f64 v v)) t))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Outputs
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (fma.f64 t (neg.f64 (*.f64 v v)) t))
Calls

5 calls:

12.0ms
(*.f64 v v)
11.0ms
v
10.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
10.0ms
t
10.0ms
(*.f64 (PI.f64) t)
Results
AccuracySegmentsBranch
99.8%1v
99.8%1t
99.8%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.8%1(*.f64 v v)
99.8%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes45.0ms (0.4%)

Memory
10.0MiB live, 87.8MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) t))
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (-.f64 (*.f64 (*.f64 v v) t) t))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
Outputs
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Calls

5 calls:

9.0ms
t
9.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
9.0ms
(*.f64 (PI.f64) t)
9.0ms
v
8.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.5%1v
99.5%1t
99.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.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)
99.5%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes38.0ms (0.3%)

Memory
-13.2MiB live, 66.5MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) t))
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
Outputs
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
Calls

5 calls:

9.0ms
(*.f64 (PI.f64) t)
8.0ms
v
7.0ms
t
7.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
6.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.3%1v
99.3%1t
99.3%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
99.3%1(*.f64 v v)
99.3%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes34.0ms (0.3%)

Memory
23.8MiB live, 62.9MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) t))
(/.f64 (*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t)
Calls

5 calls:

8.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
7.0ms
(*.f64 (PI.f64) t)
7.0ms
t
7.0ms
v
5.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.0%1v
99.0%1t
99.0%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.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)
99.0%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes20.0ms (0.2%)

Memory
-1.5MiB live, 37.4MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
Calls

5 calls:

5.0ms
(*.f64 (PI.f64) t)
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
4.0ms
t
4.0ms
v
3.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.7%1v
98.7%1t
98.7%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
98.7%1(*.f64 v v)
98.7%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes15.0ms (0.1%)

Memory
-8.3MiB live, 32.1MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
Calls

5 calls:

4.0ms
(*.f64 (PI.f64) t)
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
3.0ms
t
3.0ms
v
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.7%1v
98.7%1t
98.7%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
98.7%1(*.f64 v v)
98.7%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes12.0ms (0.1%)

Memory
-12.8MiB live, 26.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
Calls

5 calls:

3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
2.0ms
(*.f64 (PI.f64) t)
2.0ms
t
2.0ms
v
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.5%1v
98.5%1t
98.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
98.5%1(*.f64 v v)
98.5%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes10.0ms (0.1%)

Memory
23.4MiB live, 23.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
Calls

5 calls:

2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
2.0ms
(*.f64 (PI.f64) t)
2.0ms
t
2.0ms
v
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.5%1v
98.5%1t
98.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
98.5%1(*.f64 v v)
98.5%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes9.0ms (0.1%)

Memory
-20.6MiB live, 18.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
Calls

5 calls:

2.0ms
(*.f64 (PI.f64) t)
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
1.0ms
v
1.0ms
t
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.2%1v
98.2%1t
98.2%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
98.2%1(*.f64 (PI.f64) t)
98.2%1(*.f64 v v)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes7.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
1.0ms
v
1.0ms
t
1.0ms
(*.f64 (PI.f64) t)
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.2%1(*.f64 v v)
98.2%1v
98.2%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
98.2%1t
98.2%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

simplify9.0ms (0.1%)

Memory
-23.9MiB live, 15.3MiB allocated
Algorithm
1×egg-herbie
Rules
36×*-commutative_binary64
6×+-commutative_binary64
6×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050126
177126
282126
385126
486126
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (fma.f64 t (neg.f64 (*.f64 v v)) t))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
Outputs
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))) (fma.f64 t (neg.f64 (*.f64 v v)) t))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))

soundness937.0ms (7.5%)

Memory
24.4MiB live, 886.5MiB allocated
Rules
23 106×lower-fma.f64
23 106×lower-fma.f32
14 624×lower-fma.f64
14 624×lower-fma.f32
7 430×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030159
055159
1202157
21264157
08598157
03766841
111486361
245036285
092086003
01952113
15762013
224131898
080351805
01973
03273
112873
292367
0872061
036215
067209
1249208
21890207
08529207
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 312 to 200 computations (35.9% saved)

preprocess115.0ms (0.9%)

Memory
15.9MiB live, 249.7MiB allocated
Remove

(negabs t)

(abs v)

Compiler

Compiled 1 044 to 612 computations (41.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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