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

Time bar (total: 12.8s)

analyze47.0ms (0.4%)

Memory
-12.9MiB live, 102.3MiB 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)

sample1.5s (11.8%)

Memory
51.7MiB live, 2 062.9MiB allocated
Samples
1.1s8 256×0valid
1.0ms6×0invalid
Precisions
Click to see histograms. Total time spent on operations: 829.0ms
ival-mult: 430.0ms (51.9% of total)
ival-sub: 156.0ms (18.8% of total)
ival-div: 128.0ms (15.4% of total)
ival-sqrt: 63.0ms (7.6% of total)
ival-pi: 29.0ms (3.5% of total)
exact: 14.0ms (1.7% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess446.0ms (3.5%)

Memory
-1.8MiB live, 351.4MiB allocated
Algorithm
1×egg-herbie
Rules
5 098×*-lowering-*.f32
5 098×*-lowering-*.f64
4 848×accelerator-lowering-fma.f32
4 848×accelerator-lowering-fma.f64
3 484×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047142
1174140
2628130
34441130
01928
15728
218926
390326
4472826
5744426
0806024
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
Outputs
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
(/.f64 (fma.f64 (*.f64 v 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))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
Symmetry

(abs v)

(negabs t)

explain330.0ms (2.6%)

Memory
-10.2MiB live, 280.3MiB 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
100.0ms512×0valid
Compiler

Compiled 310 to 80 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 43.0ms (54.6% of total)
ival-pi: 20.0ms (25.4% of total)
ival-sub: 7.0ms (8.9% of total)
ival-sqrt: 4.0ms (5.1% of total)
ival-div: 3.0ms (3.8% of total)
exact: 1.0ms (1.3% 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
1.2MiB live, 1.2MiB 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)

simplify319.0ms (2.5%)

Memory
-19.4MiB live, 300.8MiB 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×*-lowering-*.f32
5 098×*-lowering-*.f64
4 848×accelerator-lowering-fma.f32
4 848×accelerator-lowering-fma.f64
3 484×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019123
157123
2189113
3903113
44728113
57444113
08060105
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))
(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
(* (PI) t)
(PI)
t
(sqrt (* 2 (- 1 (* 3 (* v v)))))
(* 2 (- 1 (* 3 (* v v))))
2
(- 1 (* 3 (* v v)))
(* 3 (* v v))
3
(- 1 (* v v))
Outputs
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
(/.f64 (fma.f64 (*.f64 v 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))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- 1 (* 5 (* v v)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* 5 (* v v))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
(* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))
(*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(sqrt (* 2 (- 1 (* 3 (* v v)))))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(* 2 (- 1 (* 3 (* v v))))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- 1 (* 3 (* v v)))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(* 3 (* v v))
(*.f64 (*.f64 v v) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize67.0ms (0.5%)

Memory
-5.5MiB live, 79.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 v v))
✓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))))
✓accuracy99.6%
(*.f64 (PI.f64) t)
✓accuracy99.3%
(*.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
28.0ms256×0valid
Compiler

Compiled 125 to 21 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 10.0ms (55.5% of total)
ival-sub: 4.0ms (22.2% of total)
ival-sqrt: 2.0ms (11.1% of total)
ival-pi: 1.0ms (5.6% of total)
ival-div: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory
25.9MiB live, 25.9MiB allocated
Counts
7 → 108
Calls
Call 1
Inputs
#<alt (* 2 (- 1 (* 3 (* v v))))>
#<alt (- 1 (* 5 (* v v)))>
#<alt (- 1 (* 3 (* v v)))>
#<alt (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>
#<alt (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))))>
#<alt (* (PI) t)>
#<alt (* 3 (* 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
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))))))
1.0ms
t
@inf
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))

rewrite445.0ms (3.5%)

Memory
18.4MiB live, 596.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 648×accelerator-lowering-fma.f32
6 648×accelerator-lowering-fma.f64
6 256×*-lowering-*.f32
6 256×*-lowering-*.f64
3 752×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01973
111573
291067
0874561
Stop Event
1×iter limit
1×node limit
Counts
7 → 495
Calls
Call 1
Inputs
(* 2 (- 1 (* 3 (* v v))))
(- 1 (* 5 (* v v)))
(- 1 (* 3 (* v v)))
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
(* (PI) t)
(* 3 (* 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 (*.f64 v 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 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 binary64))))))
(/.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 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 binary64))) #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 (*.f64 v (*.f64 v v))) #s(literal -9 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 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)))) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 binary64))) #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 (*.f64 v (*.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 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 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 #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 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 binary64))) #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 (*.f64 v (*.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 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 v 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 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 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 #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 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 binary64))) #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 (*.f64 v (*.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 v (*.f64 v #s(literal -5 binary64))))
(+.f64 (*.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))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v 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 v (*.f64 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 (*.f64 v 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 v (*.f64 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 (*.f64 v 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 v (*.f64 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 v (*.f64 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 v (*.f64 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 (*.f64 v 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 (*.f64 v 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 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v 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))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.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 (-.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 (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 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64)))) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #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 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))))) (*.f64 (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))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) #s(literal 1953125 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64)) (fma.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64) #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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) #s(literal 15625 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v 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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) #s(literal 15625 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 1 binary64)))) (fma.f64 v (*.f64 v #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)

simplify546.0ms (4.3%)

Memory
1.6MiB live, 885.6MiB allocated
Algorithm
1×egg-herbie
Rules
23 106×accelerator-lowering-fma.f32
23 106×accelerator-lowering-fma.f64
5 894×*-lowering-*.f32
5 894×*-lowering-*.f64
3 560×+-lowering-+.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))

eval132.0ms (1%)

Memory
-14.6MiB live, 177.2MiB allocated
Compiler

Compiled 26 573 to 2 054 computations (92.3% saved)

prune224.0ms (1.8%)

Memory
9.5MiB live, 170.8MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New59112603
Fresh000
Picked101
Done000
Total59212604
Accuracy
100.0%
Counts
604 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(/.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 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (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))))
99.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.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 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))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
98.7%
(/.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))))
▶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)))))
99.4%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))))
▶98.6%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
99.5%
(*.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 638 to 412 computations (35.4% saved)

simplify227.0ms (1.8%)

Memory
-23.4MiB live, 545.9MiB 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 #s(literal 1 binary64) (*.f64 v v)))
✓cost-diff384
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓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 (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)))))
✓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) (*.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))))))
✓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
6 148×*-lowering-*.f32
6 148×*-lowering-*.f64
4 274×accelerator-lowering-fma.f32
4 274×accelerator-lowering-fma.f64
3 084×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037440
1101440
2301440
31290440
45134440
08162410
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
(* (/ (+ (* v (* v -5)) 1) (PI)) 1)
(/ (+ (* v (* v -5)) 1) (PI))
(+ (* v (* v -5)) 1)
v
(* v -5)
-5
1
(PI)
(* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))
(* t (- 1 (* v v)))
t
(- 1 (* v v))
(* v v)
(sqrt (+ (* -6 (* v v)) 2))
(+ (* -6 (* v v)) 2)
-6
2
(/ 1 (* (PI) (* t (sqrt 2))))
1
(* (PI) (* t (sqrt 2)))
(PI)
(* t (sqrt 2))
t
(sqrt 2)
2
(/ (+ (* v (* v -5)) 1) (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))))
(+ (* v (* v -5)) 1)
v
(* v -5)
-5
1
(* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
(PI)
(* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))
(* t (- 1 (* v v)))
t
(- 1 (* v v))
(* v v)
(sqrt (+ (* -6 (* v v)) 2))
(+ (* -6 (* v v)) 2)
-6
2
(/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))
(* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t)
(* (sqrt (+ (* -6 (* v v)) 2)) (PI))
(sqrt (+ (* -6 (* v v)) 2))
(+ (* -6 (* v v)) 2)
-6
2
(PI)
t
(- 1 (* v v))
(/ (/ (+ (* v (* v -5)) 1) (- 1 (* v v))) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))
(/ (+ (* v (* v -5)) 1) (- 1 (* v v)))
(+ (* v (* v -5)) 1)
v
(* v -5)
-5
1
(- 1 (* v v))
(* v v)
(* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2)))
(* (PI) t)
(PI)
t
(sqrt (+ (* -6 (* v v)) 2))
(+ (* -6 (* v v)) 2)
-6
2
Outputs
(/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) (fma.f64 v v #s(literal -1 binary64)))))
(* (/ (+ (* v (* v -5)) 1) (PI)) 1)
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
(/ (+ (* v (* v -5)) 1) (PI))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
(+ (* v (* v -5)) 1)
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))
(*.f64 (-.f64 t (*.f64 t (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(* t (- 1 (* v v)))
(-.f64 t (*.f64 t (*.f64 v v)))
t
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* v v)
(*.f64 v v)
(sqrt (+ (* -6 (* v v)) 2))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(+ (* -6 (* v v)) 2)
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
-6
#s(literal -6 binary64)
2
#s(literal 2 binary64)
(/ 1 (* (PI) (* t (sqrt 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(* (PI) (* t (sqrt 2)))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(PI)
(PI.f64)
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (+ (* v (* v -5)) 1) (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) (fma.f64 v v #s(literal -1 binary64)))))
(+ (* v (* v -5)) 1)
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
1
#s(literal 1 binary64)
(* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) (fma.f64 v v #s(literal -1 binary64))))
(PI)
(PI.f64)
(* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))
(*.f64 (-.f64 t (*.f64 t (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(* t (- 1 (* v v)))
(-.f64 t (*.f64 t (*.f64 v v)))
t
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* v v)
(*.f64 v v)
(sqrt (+ (* -6 (* v v)) 2))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(+ (* -6 (* v v)) 2)
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
-6
#s(literal -6 binary64)
2
#s(literal 2 binary64)
(/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) (fma.f64 v v #s(literal -1 binary64)))))
(- 1 (* 5 (* v v)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* 5 (* v v))
(*.f64 v (*.f64 v #s(literal 5 binary64)))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
(* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) (fma.f64 v v #s(literal -1 binary64))))
(* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t)
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(* (sqrt (+ (* -6 (* v v)) 2)) (PI))
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(sqrt (+ (* -6 (* v v)) 2))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(+ (* -6 (* v v)) 2)
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
-6
#s(literal -6 binary64)
2
#s(literal 2 binary64)
(PI)
(PI.f64)
t
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (/ (+ (* v (* v -5)) 1) (- 1 (* v v))) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) (fma.f64 v v #s(literal -1 binary64)))))
(/ (+ (* v (* v -5)) 1) (- 1 (* v v)))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(+ (* v (* v -5)) 1)
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
1
#s(literal 1 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* v v)
(*.f64 v v)
(* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2)))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(sqrt (+ (* -6 (* v v)) 2))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(+ (* -6 (* v v)) 2)
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
-6
#s(literal -6 binary64)
2
#s(literal 2 binary64)

localize262.0ms (2%)

Memory
6.2MiB live, 290.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy99.6%
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓accuracy99.6%
(*.f64 (PI.f64) t)
✓accuracy99.3%
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
✓accuracy100.0%
(*.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 (*.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))))
✓accuracy100.0%
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy99.6%
(/.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))))))
✓accuracy99.5%
(*.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)))))
✓accuracy99.3%
(*.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))))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓accuracy99.5%
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.3%
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
✓accuracy100.0%
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓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)))))
✓accuracy99.3%
(*.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
66.0ms256×0valid
Compiler

Compiled 418 to 39 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 22.0ms (53.6% of total)
ival-div: 9.0ms (21.9% of total)
ival-sqrt: 3.0ms (7.3% of total)
ival-add: 2.0ms (4.9% of total)
ival-sub: 2.0ms (4.9% of total)
ival-pi: 1.0ms (2.4% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series48.0ms (0.4%)

Memory
17.7MiB live, 57.8MiB allocated
Counts
23 → 384
Calls
Call 1
Inputs
#<alt (/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))>
#<alt (* (/ (+ (* v (* v -5)) 1) (PI)) 1)>
#<alt (/ (+ (* v (* v -5)) 1) (PI))>
#<alt (+ (* v (* v -5)) 1)>
#<alt (/ 1 (* (PI) (* t (sqrt 2))))>
#<alt (* (PI) (* t (sqrt 2)))>
#<alt (PI)>
#<alt (* t (sqrt 2))>
#<alt (/ (+ (* v (* v -5)) 1) (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))))>
#<alt (* v -5)>
#<alt (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))>
#<alt (- 1 (* 5 (* v v)))>
#<alt (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))))>
#<alt (* 5 (* v v))>
#<alt (* v v)>
#<alt (/ (/ (+ (* v (* v -5)) 1) (- 1 (* v v))) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))>
#<alt (/ (+ (* v (* v -5)) 1) (- 1 (* v v)))>
#<alt (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))>
#<alt (* t (- 1 (* v v)))>
#<alt (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t)>
#<alt (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))>
#<alt (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2)))>
#<alt (* (PI) 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)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* 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 (/ (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))>
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#<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))>
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#<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))))))>
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#<alt 5>
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#<alt 5>
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#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt 2))>
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2))))))>
#<alt (+ (* 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)))))))))>
#<alt (+ (* 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))))))))))))>
#<alt (* -1 (* t (* (pow v 3) (sqrt -6))))>
#<alt (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))>
#<alt (* (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 (* (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 (* t (* (pow v 3) (sqrt -6)))>
#<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 (* 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 (+ (* -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 (* 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 (* (* 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 (* 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))>
#<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))>
Calls

96 calls:

TimeVariablePointExpression
12.0ms
v
@0
(* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
4.0ms
v
@inf
(/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
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
(* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))

rewrite501.0ms (3.9%)

Memory
-3.3MiB live, 1 024.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 180×*-lowering-*.f32
4 180×*-lowering-*.f64
4 062×accelerator-lowering-fma.f32
4 062×accelerator-lowering-fma.f64
3 962×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037265
1214265
21755265
08475247
Stop Event
1×iter limit
1×node limit
Counts
23 → 1 890
Calls
Call 1
Inputs
(/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
(* (/ (+ (* v (* v -5)) 1) (PI)) 1)
(/ (+ (* v (* v -5)) 1) (PI))
(+ (* v (* v -5)) 1)
(/ 1 (* (PI) (* t (sqrt 2))))
(* (PI) (* t (sqrt 2)))
(PI)
(* t (sqrt 2))
(/ (+ (* v (* v -5)) 1) (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))))
(* v -5)
(* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
(- 1 (* 5 (* v v)))
(/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))))
(* 5 (* v v))
(* v v)
(/ (/ (+ (* v (* v -5)) 1) (- 1 (* v v))) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))
(/ (+ (* v (* v -5)) 1) (- 1 (* v v)))
(* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))
(* t (- 1 (* v v)))
(* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t)
(* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))
(* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2)))
(* (PI) t)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (*.f64 #s(literal -5 binary64) (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.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 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 v v)) t) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 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)) (PI.f64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 v v)) t) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)))) (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 v v)) t) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 v v)) t) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64)) (fma.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
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(*.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 v v)) t) (PI.f64)) (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) t)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t)
(*.f64 (*.f64 (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (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 (*.f64 (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.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) (fma.f64 (*.f64 v v) (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.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) (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 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) 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)))) (*.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) (fma.f64 v v #s(literal 1 binary64))))
(*.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 v v)) t) (PI.f64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))))
(neg.f64 (neg.f64 (*.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 #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 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))) #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 (PI.f64) t)))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(*.f64 t (*.f64 (PI.f64) (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))) (*.f64 (PI.f64) t))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) t)
(*.f64 (*.f64 (PI.f64) t) (sqrt.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))) (*.f64 (PI.f64) t)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (PI.f64))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (PI.f64) t)))
(*.f64 (neg.f64 (*.f64 (PI.f64) t)) (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (neg.f64 t))
(*.f64 (neg.f64 t) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) t))
(*.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) t))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 t)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) t)
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
(*.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)))

simplify544.0ms (4.2%)

Memory
-12.9MiB live, 1 071.5MiB allocated
Algorithm
1×egg-herbie
Rules
16 094×accelerator-lowering-fma.f32
16 094×accelerator-lowering-fma.f64
6 372×*-lowering-*.f32
6 372×*-lowering-*.f64
3 222×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03628909
111398196
247787786
081917429
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
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 (PI))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(/ 1 (PI))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
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 (* 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 (* (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 (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))
(/ (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)))))
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1
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5
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5
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(* (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))))))))))
(* 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)))
(+ (* -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)))))
(* 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)))))
(* (* 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)))))
(* 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))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
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 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (/.f64 (*.f64 (*.f64 v v) #s(literal 3/4 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 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.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))))) (/.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)))))))
(+ (* (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 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.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 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal -27/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))) (+.f64 (/.f64 #s(literal 135/32 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)))))) (/.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)))))))
(* 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 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 #s(literal 5 binary64) (PI.f64))) (/.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 (/.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))) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 5 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 v v) (*.f64 v v))))) (+.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 (fma.f64 (/.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (+.f64 (/.f64 #s(literal -5/2 binary64) (*.f64 t (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal -2 binary64) (*.f64 t (pow.f64 v #s(literal 6 binary64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 #s(literal 5 binary64) (PI.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 (/.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)))) (/.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)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -5 binary64)) (*.f64 t (*.f64 (PI.f64) v)))
(* -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))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 #s(literal 5 binary64) (PI.f64))) (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 v v) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (neg.f64 v))
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(*.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)))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))
(*.f64 t (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64) (*.f64 (PI.f64) (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 (/.f64 (*.f64 t (*.f64 (PI.f64) (*.f64 v v))) (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 (PI.f64) (*.f64 t (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 (*.f64 t #s(literal -27/2 binary64)) (/.f64 (*.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 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(* t (* v (* (PI) (sqrt -6))))
(*.f64 (*.f64 (PI.f64) v) (*.f64 t (sqrt.f64 #s(literal -6 binary64))))
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))
(*.f64 (*.f64 t 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 (/ (* 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 (/.f64 (*.f64 t (PI.f64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 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 t (fma.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) #s(literal 1/2 binary64) (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 (*.f64 t (PI.f64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64))))
(* -1 (* t (* v (* (PI) (sqrt -6)))))
(*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal -6 binary64)))) (neg.f64 v))
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(*.f64 v (*.f64 t (neg.f64 (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)))))))
(neg.f64 (*.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 (/.f64 (*.f64 t (PI.f64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 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))))))))
(*.f64 (fma.f64 t (fma.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) #s(literal 1/2 binary64) (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 (*.f64 t (PI.f64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64))) (neg.f64 v))
(* 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))

eval428.0ms (3.3%)

Memory
43.0MiB live, 949.6MiB allocated
Compiler

Compiled 112 653 to 4 516 computations (96% saved)

prune279.0ms (2.2%)

Memory
5.3MiB live, 595.9MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New3 007153 022
Fresh707
Picked415
Done000
Total3 018163 034
Accuracy
100.0%
Counts
3 034 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #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))))
▶99.1%
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
99.4%
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))))
98.6%
(/.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)))))
99.6%
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 v v)) t)))
99.0%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
▶98.8%
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
▶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 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t))
98.7%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
✓98.6%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
▶98.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 502 to 375 computations (25.3% saved)

simplify249.0ms (1.9%)

Memory
-35.5MiB live, 496.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 v #s(literal -4 binary64))
✓cost-diff0
(fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) t)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
✓cost-diff704
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (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
(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 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
Rules
7 724×accelerator-lowering-fma.f32
7 724×accelerator-lowering-fma.f64
3 408×*-lowering-*.f32
3 408×*-lowering-*.f64
2 006×neg-lowering-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042244
198244
2205244
3495244
41448244
52635244
65471244
08175229
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (- 1 (* v v)) (* t (sqrt (+ (* v (* v -6)) 2)))))
(* (/ (+ (* v (* v -5)) 1) (PI)) 1)
(/ (+ (* v (* v -5)) 1) (PI))
(+ (* v (* v -5)) 1)
v
(* v -5)
-5
1
(PI)
(* (- 1 (* v v)) (* t (sqrt (+ (* v (* v -6)) 2))))
(- 1 (* v v))
(* v v)
(* t (sqrt (+ (* v (* v -6)) 2)))
t
(sqrt (+ (* v (* v -6)) 2))
(+ (* v (* v -6)) 2)
(* v -6)
-6
2
(/ (sqrt 1/2) (* t (PI)))
(sqrt 1/2)
1/2
(* t (PI))
t
(PI)
(/ (/ 1 (PI)) (* t (sqrt 2)))
(/ 1 (PI))
1
(PI)
(* t (sqrt 2))
t
(sqrt 2)
2
(* (/ 1 (* (PI) t)) (/ 1 (sqrt 2)))
(/ 1 (* (PI) t))
1
(* (PI) t)
(PI)
t
(/ 1 (sqrt 2))
(sqrt 2)
2
(/ (+ (* v (* v -4)) 1) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))
(+ (* v (* v -4)) 1)
v
(* v -4)
-4
1
(* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2)))
(* (PI) t)
(PI)
t
(sqrt (+ (* -6 (* v v)) 2))
(+ (* -6 (* v v)) 2)
-6
(* v v)
2
Outputs
(/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (- 1 (* v v)) (* t (sqrt (+ (* v (* v -6)) 2)))))
(/.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))) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) (neg.f64 t) t))))
(* (/ (+ (* v (* v -5)) 1) (PI)) 1)
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
(/ (+ (* v (* v -5)) 1) (PI))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
(+ (* v (* v -5)) 1)
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(* (- 1 (* v v)) (* t (sqrt (+ (* v (* v -6)) 2))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (*.f64 v v) (neg.f64 t) t))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* v v)
(*.f64 v v)
(* t (sqrt (+ (* v (* v -6)) 2)))
(*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
t
(sqrt (+ (* v (* v -6)) 2))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(+ (* v (* v -6)) 2)
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(* v -6)
(*.f64 v #s(literal -6 binary64))
-6
#s(literal -6 binary64)
2
#s(literal 2 binary64)
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* t (PI))
(*.f64 (PI.f64) t)
t
(PI)
(PI.f64)
(/ (/ 1 (PI)) (* t (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (/ 1 (* (PI) t)) (/ 1 (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (* (PI) t))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
1
#s(literal 1 binary64)
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(/ 1 (sqrt 2))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (+ (* v (* v -4)) 1) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(+ (* v (* v -4)) 1)
(fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64))
v
(* v -4)
(*.f64 v #s(literal -4 binary64))
-4
#s(literal -4 binary64)
1
#s(literal 1 binary64)
(* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2)))
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(sqrt (+ (* -6 (* v v)) 2))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(+ (* -6 (* v v)) 2)
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
-6
#s(literal -6 binary64)
(* v v)
(*.f64 v v)
2
#s(literal 2 binary64)

localize173.0ms (1.4%)

Memory
7.3MiB live, 290.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓accuracy99.6%
(*.f64 (PI.f64) t)
✓accuracy99.3%
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
✓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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (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))))
✓accuracy99.3%
(*.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))
✓accuracy99.3%
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
✓accuracy100.0%
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #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 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
✓accuracy99.3%
(*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
Samples
121.0ms256×0valid
Compiler

Compiled 237 to 44 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-div: 49.0ms (55.9% of total)
ival-mult: 24.0ms (27.4% of total)
ival-sqrt: 7.0ms (8% of total)
ival-add: 5.0ms (5.7% of total)
ival-pi: 1.0ms (1.1% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
5.5MiB live, 45.5MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#<alt (/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (- 1 (* v v)) (* t (sqrt (+ (* v (* v -6)) 2)))))>
#<alt (* (/ (+ (* v (* v -5)) 1) (PI)) 1)>
#<alt (/ (+ (* v (* v -5)) 1) (PI))>
#<alt (+ (* v (* v -5)) 1)>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (sqrt 1/2)>
#<alt (* t (PI))>
#<alt (PI)>
#<alt (/ (/ 1 (PI)) (* t (sqrt 2)))>
#<alt (/ 1 (PI))>
#<alt (* t (sqrt 2))>
#<alt (* (/ 1 (* (PI) t)) (/ 1 (sqrt 2)))>
#<alt (/ 1 (* (PI) t))>
#<alt (* (PI) t)>
#<alt (/ (+ (* v (* v -4)) 1) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))>
#<alt (+ (* v (* v -4)) 1)>
#<alt (* v -4)>
#<alt (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2)))>
#<alt (* t (sqrt (+ (* v (* v -6)) 2)))>
#<alt (* (- 1 (* v v)) (* t (sqrt (+ (* v (* v -6)) 2))))>
#<alt (sqrt 2)>
#<alt (/ 1 (sqrt 2))>
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 (/ (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 (/ (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) (- (* 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) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (+ (* -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)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* -4 (/ (* v (sqrt -1/6)) (* t (PI))))>
#<alt (* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI)))))))>
#<alt (* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))>
#<alt (* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))>
#<alt (* 4 (/ (* v (sqrt -1/6)) (* t (PI))))>
#<alt (* -1 (* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))>
#<alt (* -1 (* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))))>
#<alt (* -1 (* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))))>
#<alt (* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt 1>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (* -4 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* -4 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<alt (* -4 v)>
#<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 (* 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 (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* t (sqrt 2))>
#<alt (+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2)))>
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2))))))>
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3))))))))>
#<alt (* t (* v (sqrt -6)))>
#<alt (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))>
#<alt (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))>
#<alt (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* t (* v (sqrt -6))))>
#<alt (* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))))>
#<alt (* t (sqrt 2))>
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2))))))>
#<alt (+ (* 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)))))))))>
#<alt (+ (* 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))))))))))))>
#<alt (* -1 (* t (* (pow v 3) (sqrt -6))))>
#<alt (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))>
#<alt (* (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 (* (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 (* t (* (pow v 3) (sqrt -6)))>
#<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 (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
Calls

66 calls:

TimeVariablePointExpression
6.0ms
t
@inf
(/ (sqrt 1/2) (* t (PI)))
3.0ms
v
@inf
(/ (+ (* v (* v -4)) 1) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))
1.0ms
t
@0
(/ (+ (* v (* v -4)) 1) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))
1.0ms
t
@inf
(/ (+ (* v (* v -4)) 1) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))
1.0ms
v
@0
(/ (+ (* v (* v -4)) 1) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))

rewrite322.0ms (2.5%)

Memory
3.3MiB live, 587.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 552×accelerator-lowering-fma.f32
4 552×accelerator-lowering-fma.f64
4 458×*-lowering-*.f32
4 458×*-lowering-*.f64
4 108×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042168
1235165
21564165
08618154
Stop Event
1×iter limit
1×node limit
Counts
22 → 1 053
Calls
Call 1
Inputs
(/ (* (/ (+ (* v (* v -5)) 1) (PI)) 1) (* (- 1 (* v v)) (* t (sqrt (+ (* v (* v -6)) 2)))))
(* (/ (+ (* v (* v -5)) 1) (PI)) 1)
(/ (+ (* v (* v -5)) 1) (PI))
(+ (* v (* v -5)) 1)
(/ (sqrt 1/2) (* t (PI)))
(sqrt 1/2)
(* t (PI))
(PI)
(/ (/ 1 (PI)) (* t (sqrt 2)))
(/ 1 (PI))
(* t (sqrt 2))
(* (/ 1 (* (PI) t)) (/ 1 (sqrt 2)))
(/ 1 (* (PI) t))
(* (PI) t)
(/ (+ (* v (* v -4)) 1) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))
(+ (* v (* v -4)) 1)
(* v -4)
(* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2)))
(* t (sqrt (+ (* v (* v -6)) 2)))
(* (- 1 (* v v)) (* t (sqrt (+ (* v (* v -6)) 2))))
(sqrt 2)
(/ 1 (sqrt 2))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (/.f64 (PI.f64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))))
(-.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 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(-.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 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (PI.f64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (neg.f64 (PI.f64)))) (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (neg.f64 (PI.f64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (neg.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))))
(neg.f64 (neg.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))))
(neg.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (neg.f64 (PI.f64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))))
(neg.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 #s(literal 1 binary64) (*.f64 v v)) t))) (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (PI.f64))))
(neg.f64 (/.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 t (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (/.f64 (PI.f64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(neg.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (/.f64 (PI.f64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #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 #s(literal 1 binary64) (*.f64 v v)) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 t (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))) (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (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))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (PI.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #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))) t)))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.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))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #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 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (PI.f64)))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (neg.f64 (PI.f64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (/.f64 (PI.f64) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (neg.f64 (PI.f64))))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #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 #s(literal 1 binary64) (*.f64 v v)) t))) (/.f64 (PI.f64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 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 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #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))) (neg.f64 (*.f64 t (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (*.f64 t (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #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 #s(literal 1 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 (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
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(/.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.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 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) t)) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (+.f64 (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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (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))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (neg.f64 (*.f64 t (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))))
(*.f64 t (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
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(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(*.f64 (*.f64 t (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) t)
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #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 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.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 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #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 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))
(*.f64 (neg.f64 (*.f64 t (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal -1 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 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 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 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 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 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 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))

simplify483.0ms (3.8%)

Memory
37.3MiB live, 744.9MiB allocated
Algorithm
1×egg-herbie
Rules
15 946×accelerator-lowering-fma.f32
15 946×accelerator-lowering-fma.f64
5 802×*-lowering-*.f32
5 802×*-lowering-*.f64
3 422×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03604525
111554202
248523981
082243786
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 (PI))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(/ 1 (PI))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
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))
(/ (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))
(/ (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) (- (* 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) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (+ (* -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)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* -4 (/ (* v (sqrt -1/6)) (* t (PI))))
(* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI)))))))
(* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))
(* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))
(* 4 (/ (* v (sqrt -1/6)) (* t (PI))))
(* -1 (* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))
(* -1 (* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))))
(* -1 (* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* -4 (pow v 2)))
(+ 1 (* -4 (pow v 2)))
(* -4 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* -4 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* (* 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)))))
(* 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 (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt 2))
(+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2)))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2))))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3))))))))
(* t (* v (sqrt -6)))
(* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))
(* -1 (* t (* v (sqrt -6))))
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))))
(* 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))))))))))
(* (* 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)))))
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 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (/.f64 (*.f64 (*.f64 v v) #s(literal 3/4 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 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (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)))))))
(+ (* (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 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 v (*.f64 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)))))) (/.f64 #s(literal 3/4 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 (PI.f64) (*.f64 t 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 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 t (*.f64 v v))) (/.f64 #s(literal 5 binary64) t)) (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 v v) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)
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(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))

eval190.0ms (1.5%)

Memory
6.0MiB live, 385.7MiB allocated
Compiler

Compiled 38 263 to 3 549 computations (90.7% saved)

prune221.0ms (1.7%)

Memory
-25.7MiB live, 355.3MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1 60491 613
Fresh4610
Picked325
Done011
Total1 611181 629
Accuracy
100.0%
Counts
1 629 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #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))))
99.2%
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) t))
▶98.8%
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
99.6%
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 v v)) t)))
99.2%
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
▶99.3%
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
▶99.6%
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
▶98.1%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
98.7%
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
✓98.8%
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t))
98.7%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
✓98.6%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
99.1%
(*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
▶98.2%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
Compiler

Compiled 544 to 407 computations (25.2% saved)

simplify167.0ms (1.3%)

Memory
28.5MiB live, 258.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 v #s(literal -4 binary64))
✓cost-diff0
(fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (PI.f64))
✓cost-diff384
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(*.f64 v #s(literal -4 binary64))
✓cost-diff0
(fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 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 #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)) (PI.f64))
✓cost-diff512
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
Rules
3 942×accelerator-lowering-fma.f32
3 942×accelerator-lowering-fma.f64
2 740×*-lowering-*.f32
2 740×*-lowering-*.f64
2 378×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037259
181255
2156255
3323255
4727255
51720255
62651255
75455255
08067237
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (+ (* v (* v -5)) 1) (PI)) (* (- 1 (* v v)) (* t (sqrt (+ (* v (* v -6)) 2)))))
(/ (+ (* v (* v -5)) 1) (PI))
(+ (* v (* v -5)) 1)
v
(* v -5)
-5
1
(PI)
(* (- 1 (* v v)) (* t (sqrt (+ (* v (* v -6)) 2))))
(- 1 (* v v))
(* v v)
(* t (sqrt (+ (* v (* v -6)) 2)))
t
(sqrt (+ (* v (* v -6)) 2))
(+ (* v (* v -6)) 2)
(* v -6)
-6
2
(* (/ 1 (* (PI) t)) (sqrt 1/2))
(/ 1 (* (PI) t))
1
(* (PI) t)
(PI)
t
(sqrt 1/2)
1/2
(/ (/ (sqrt 1/2) t) (PI))
(/ (sqrt 1/2) t)
(sqrt 1/2)
1/2
t
(PI)
(/ (+ (* v (* v -4)) 1) (* t (* (PI) (sqrt 2))))
(+ (* v (* v -4)) 1)
v
(* v -4)
-4
1
(* t (* (PI) (sqrt 2)))
t
(* (PI) (sqrt 2))
(PI)
(sqrt 2)
2
(/ (/ (+ (* v (* v -4)) 1) (PI)) (* t (sqrt (+ (* v (* v -6)) 2))))
(/ (+ (* v (* v -4)) 1) (PI))
(+ (* v (* v -4)) 1)
v
(* v -4)
-4
1
(PI)
(* t (sqrt (+ (* v (* v -6)) 2)))
t
(sqrt (+ (* v (* v -6)) 2))
(+ (* v (* v -6)) 2)
(* v -6)
-6
2
Outputs
(/ (/ (+ (* v (* v -5)) 1) (PI)) (* (- 1 (* v v)) (* t (sqrt (+ (* v (* v -6)) 2)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) (fma.f64 v v #s(literal -1 binary64))))
(/ (+ (* v (* v -5)) 1) (PI))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
(+ (* v (* v -5)) 1)
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(* (- 1 (* v v)) (* t (sqrt (+ (* v (* v -6)) 2))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (-.f64 t (*.f64 (*.f64 v v) t)))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* v v)
(*.f64 v v)
(* t (sqrt (+ (* v (* v -6)) 2)))
(*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
t
(sqrt (+ (* v (* v -6)) 2))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(+ (* v (* v -6)) 2)
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(* v -6)
(*.f64 v #s(literal -6 binary64))
-6
#s(literal -6 binary64)
2
#s(literal 2 binary64)
(* (/ 1 (* (PI) t)) (sqrt 1/2))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(/ 1 (* (PI) t))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
1
#s(literal 1 binary64)
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ (/ (sqrt 1/2) t) (PI))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(/ (sqrt 1/2) t)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
t
(PI)
(PI.f64)
(/ (+ (* v (* v -4)) 1) (* t (* (PI) (sqrt 2))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(+ (* v (* v -4)) 1)
(fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))
v
(* v -4)
(*.f64 v #s(literal -4 binary64))
-4
#s(literal -4 binary64)
1
#s(literal 1 binary64)
(* t (* (PI) (sqrt 2)))
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
t
(* (PI) (sqrt 2))
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(PI)
(PI.f64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (/ (+ (* v (* v -4)) 1) (PI)) (* t (sqrt (+ (* v (* v -6)) 2))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) t)))
(/ (+ (* v (* v -4)) 1) (PI))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (PI.f64))
(+ (* v (* v -4)) 1)
(fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))
v
(* v -4)
(*.f64 v #s(literal -4 binary64))
-4
#s(literal -4 binary64)
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(* t (sqrt (+ (* v (* v -6)) 2)))
(*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
t
(sqrt (+ (* v (* v -6)) 2))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(+ (* v (* v -6)) 2)
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(* v -6)
(*.f64 v #s(literal -6 binary64))
-6
#s(literal -6 binary64)
2
#s(literal 2 binary64)

localize160.0ms (1.3%)

Memory
-22.1MiB live, 183.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (PI.f64))
✓accuracy99.3%
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
✓accuracy99.3%
(*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
✓accuracy99.6%
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.4%
(/.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)
✓accuracy99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64))
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
✓accuracy99.3%
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
✓accuracy99.3%
(*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
Samples
81.0ms256×0valid
Compiler

Compiled 242 to 39 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 18.0ms (44.1% of total)
ival-div: 11.0ms (27% of total)
ival-sqrt: 5.0ms (12.3% of total)
ival-add: 3.0ms (7.4% of total)
ival-pi: 1.0ms (2.5% 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)

series10.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Counts
20 → 264
Calls
Call 1
Inputs
#<alt (/ (/ (+ (* v (* v -5)) 1) (PI)) (* (- 1 (* v v)) (* t (sqrt (+ (* v (* v -6)) 2)))))>
#<alt (/ (+ (* v (* v -5)) 1) (PI))>
#<alt (+ (* v (* v -5)) 1)>
#<alt (* v -5)>
#<alt (* (/ 1 (* (PI) t)) (sqrt 1/2))>
#<alt (/ 1 (* (PI) t))>
#<alt (* (PI) t)>
#<alt (PI)>
#<alt (/ (/ (sqrt 1/2) t) (PI))>
#<alt (/ (sqrt 1/2) t)>
#<alt (sqrt 1/2)>
#<alt (/ (+ (* v (* v -4)) 1) (* t (* (PI) (sqrt 2))))>
#<alt (+ (* v (* v -4)) 1)>
#<alt (* v -4)>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (/ (/ (+ (* v (* v -4)) 1) (PI)) (* t (sqrt (+ (* v (* v -6)) 2))))>
#<alt (/ (+ (* v (* v -4)) 1) (PI))>
#<alt (* t (sqrt (+ (* v (* v -6)) 2)))>
#<alt (* (- 1 (* v v)) (* t (sqrt (+ (* v (* v -6)) 2))))>
#<alt (sqrt 2)>
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)>
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#<alt (* (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 (* t (* (pow v 3) (sqrt -6)))>
#<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 (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))>
Calls

66 calls:

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

rewrite339.0ms (2.6%)

Memory
21.0MiB live, 564.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 666×*-lowering-*.f32
4 666×*-lowering-*.f64
4 458×/-lowering-/.f32
4 458×/-lowering-/.f64
4 364×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037163
1197159
21508159
08771148
Stop Event
1×iter limit
1×node limit
Counts
20 → 1 019
Calls
Call 1
Inputs
(/ (/ (+ (* v (* v -5)) 1) (PI)) (* (- 1 (* v v)) (* t (sqrt (+ (* v (* v -6)) 2)))))
(/ (+ (* v (* v -5)) 1) (PI))
(+ (* v (* v -5)) 1)
(* v -5)
(* (/ 1 (* (PI) t)) (sqrt 1/2))
(/ 1 (* (PI) t))
(* (PI) t)
(PI)
(/ (/ (sqrt 1/2) t) (PI))
(/ (sqrt 1/2) t)
(sqrt 1/2)
(/ (+ (* v (* v -4)) 1) (* t (* (PI) (sqrt 2))))
(+ (* v (* v -4)) 1)
(* v -4)
(* t (* (PI) (sqrt 2)))
(/ (/ (+ (* v (* v -4)) 1) (PI)) (* t (sqrt (+ (* v (* v -6)) 2))))
(/ (+ (* v (* v -4)) 1) (PI))
(* t (sqrt (+ (* v (* v -6)) 2)))
(* (- 1 (* v v)) (* t (sqrt (+ (* v (* v -6)) 2))))
(sqrt 2)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.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)) t))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.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)) t))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) (*.f64 (PI.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)) t)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) (*.f64 (PI.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)) t)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) (neg.f64 t))))) (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) (neg.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)) t)))) (neg.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.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)) t))))))
(-.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (*.f64 (*.f64 (PI.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)) t))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.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)) t))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)))))
(neg.f64 (neg.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.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)) t))))))
(neg.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) (neg.f64 t))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.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)) t)))))))
(neg.f64 (*.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)) t))) (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (PI.f64))))
(neg.f64 (/.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 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (neg.f64 t))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.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)) t))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (PI.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)) t)))))
(neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.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)) t))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.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)) t))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.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)) t))) (+.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (fma.f64 v (*.f64 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)) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.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)) t))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (PI.f64)) (/.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)) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.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))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #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))) t)))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.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))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #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 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) (neg.f64 t))))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.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)) t)))
(/.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)) t)) (/.f64 (PI.f64) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) (neg.f64 t)))))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (PI.f64)) (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)) t))))
(/.f64 (fma.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.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)) t))) (+.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 v v) #s(literal 5 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)) t))) (/.f64 (PI.f64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (PI.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)) t))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 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 t (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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (neg.f64 t)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (PI.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)) t))) (+.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 v v) #s(literal 5 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 (PI.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)) t))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 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)) t))) (/.f64 (PI.f64) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))))
(/.f64 (/.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)) t))) (neg.f64 (PI.f64)))
(/.f64 (/.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))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (PI.f64))
(/.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.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 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.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))) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.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))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) t)
(/.f64 (neg.f64 (/.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)) t)))) (PI.f64))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))) (fma.f64 v (neg.f64 v) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 (*.f64 v v))) #s(literal 3 binary64))) (fma.f64 (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 (*.f64 v v))) (*.f64 (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 (*.f64 v v)))) (*.f64 (*.f64 t (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)))) (neg.f64 (*.f64 v v)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (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 (neg.f64 (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 (*.f64 v v))) (*.f64 (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 (*.f64 v v))))) (-.f64 (*.f64 t (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)))) (neg.f64 (*.f64 v v)))))
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(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) t)) (fma.f64 v (fma.f64 v (*.f64 v v) v) #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 (*.f64 v (*.f64 v v)))) t)) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (neg.f64 (fma.f64 v (fma.f64 v (*.f64 v v) v) #s(literal 1 binary64))))
(/.f64 (*.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 (*.f64 v (*.f64 v v))))) (fma.f64 v (neg.f64 v) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (sqrt.f64 (fma.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64)))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 v v) #s(literal 12 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64)))))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (sqrt.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 #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)) t)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 t (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))
(*.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))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) #s(literal 1 binary64))
(*.f64 #s(literal -1 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)) t))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (neg.f64 t)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (neg.f64 t)))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 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 (*.f64 (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (fma.f64 v (fma.f64 v (*.f64 v v) v) #s(literal 1 binary64))))
(*.f64 (*.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 (*.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 (*.f64 v v)) (*.f64 v (*.f64 v v)))) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 v (fma.f64 v (*.f64 v v) v) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))
(*.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))

simplify986.0ms (7.7%)

Memory
-125.0MiB live, 918.5MiB allocated
Algorithm
1×egg-herbie
Rules
17 426×accelerator-lowering-fma.f32
17 426×accelerator-lowering-fma.f64
6 742×*-lowering-*.f32
6 742×*-lowering-*.f64
5 306×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03374414
110374107
242673995
088683800
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 (PI))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* -5 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))
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))
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(/ (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))))
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* -4 (pow v 2)))
(+ 1 (* -4 (pow v 2)))
(* -4 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* -4 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* -4 v)
(* 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)))
(/ (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) (- (* 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) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (+ (* -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)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* -4 (/ (* v (sqrt -1/6)) (* t (PI))))
(* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI)))))))
(* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))
(* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))
(* 4 (/ (* v (sqrt -1/6)) (* t (PI))))
(* -1 (* v (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))
(* -1 (* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))))
(* -1 (* v (- (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 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)))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 1/9 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -4 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ 1 (PI))
(+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI)))
(+ (* -4 (/ (pow v 2) (PI))) (/ 1 (PI)))
(* -4 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(* -4 (/ (pow v 2) (PI)))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 4 (/ 1 (PI)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt (+ 2 (* -6 (pow v 2)))))
(* t (sqrt 2))
(+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2)))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2))))))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3))))))))
(* t (* v (sqrt -6)))
(* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))
(* -1 (* t (* v (sqrt -6))))
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))))
(* 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))))))))))
(* (* 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)))))
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 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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 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 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 #s(literal -3 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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 v (*.f64 v (fma.f64 (*.f64 v v) (+.f64 (fma.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 #s(literal 135/32 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal -27/4 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (/.f64 #s(literal -3 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 #s(literal 27/16 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 #s(literal -5/36 binary64) (*.f64 t (*.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) v) v))))) 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 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 t (*.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 t (*.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) v) v))) (/.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 (PI.f64) (*.f64 t (*.f64 (*.f64 v v) (*.f64 v v))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (*.f64 t (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 t (*.f64 (PI.f64) (*.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 #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 (/.f64 #s(literal -5/36 binary64) (*.f64 t (*.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) 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)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
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(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2))))))
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(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3))))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 t (*.f64 (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64)) (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64))) (/.f64 (*.f64 t #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
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(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))
(*.f64 v (fma.f64 (/.f64 t (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64) (fma.f64 t (sqrt.f64 #s(literal -6 binary64)) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))
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(* -1 (* t (* v (sqrt -6))))
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(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))
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(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))))
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(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2))))))
(fma.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 t #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(+ (* 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)))))))))
(fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 3 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64))) (-.f64 (/.f64 (*.f64 t #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))
(+ (* 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))))))))))))
(fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 9/4 binary64) (/.f64 (*.f64 t #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 3 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)))) (-.f64 (/.f64 (*.f64 t #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))
(* -1 (* t (* (pow v 3) (sqrt -6))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (neg.f64 (*.f64 v (*.f64 v v))))
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))
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(* (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 v (*.f64 (*.f64 v v) (-.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)))))))))
(* (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)))))))))
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(* t (* (pow v 3) (sqrt -6)))
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(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 t (*.f64 v (neg.f64 v)) t))
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))
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eval425.0ms (3.3%)

Memory
-27.3MiB live, 419.8MiB allocated
Compiler

Compiled 37 986 to 3 361 computations (91.2% saved)

prune269.0ms (2.1%)

Memory
19.4MiB live, 416.0MiB allocated
Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New1 62841 632
Fresh1910
Picked235
Done033
Total1 631191 650
Accuracy
100.0%
Counts
1 650 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #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))))
99.2%
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) t))
98.7%
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
99.6%
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 v v)) t)))
99.1%
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
99.1%
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (PI.f64))
99.2%
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
✓99.6%
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
✓98.1%
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
98.7%
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
✓98.8%
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t))
98.7%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
✓98.6%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
99.1%
(*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
✓98.2%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
Compiler

Compiled 1 037 to 375 computations (63.8% saved)

regimes67.0ms (0.5%)

Memory
-6.9MiB live, 121.9MiB allocated
Counts
41 → 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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) 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 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (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)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) t))
(/.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 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (PI.f64))
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (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 (*.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #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 (PI.f64) t) (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 #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)) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.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 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.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)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.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 v v))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))))
Outputs
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
Calls

5 calls:

19.0ms
t
14.0ms
(/.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))))
13.0ms
(*.f64 (PI.f64) t)
11.0ms
v
9.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.6%1v
99.6%1t
99.6%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))))
99.6%1(*.f64 v v)
99.6%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes77.0ms (0.6%)

Memory
6.3MiB live, 83.2MiB 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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) 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 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (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)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) t))
(/.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 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (PI.f64))
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (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 (*.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #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 (PI.f64) t) (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 #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))))
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:

30.0ms
(*.f64 (PI.f64) t)
21.0ms
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))))
8.0ms
v
7.0ms
(*.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)

regimes45.0ms (0.3%)

Memory
-21.1MiB live, 57.7MiB allocated
Counts
27 → 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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) 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 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (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)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) t))
(/.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 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (PI.f64))
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (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 (*.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))))
Outputs
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))))
Calls

5 calls:

13.0ms
t
9.0ms
(*.f64 (PI.f64) t)
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))))
8.0ms
v
6.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.4%1v
99.4%1t
99.4%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))))
99.4%1(*.f64 v v)
99.4%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes56.0ms (0.4%)

Memory
3.6MiB live, 41.1MiB allocated
Counts
26 → 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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) 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 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (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)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) t))
(/.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 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (PI.f64))
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (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 (*.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:

25.0ms
v
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))))
8.0ms
t
8.0ms
(*.f64 (PI.f64) t)
6.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.4%1v
99.4%1t
99.4%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))))
99.4%1(*.f64 v v)
99.4%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes51.0ms (0.4%)

Memory
4.4MiB live, 81.1MiB allocated
Counts
25 → 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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) 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 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (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)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) t))
(/.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 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (PI.f64))
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Outputs
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Calls

5 calls:

20.0ms
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))))
7.0ms
(*.f64 (PI.f64) t)
7.0ms
v
6.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
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%1v
99.3%1t
99.3%1(*.f64 v v)
99.3%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes39.0ms (0.3%)

Memory
22.6MiB live, 62.7MiB allocated
Counts
24 → 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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) 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 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (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)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) t))
(/.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 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (PI.f64))
Outputs
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
Calls

5 calls:

9.0ms
(*.f64 v 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))))
7.0ms
(*.f64 (PI.f64) t)
7.0ms
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
-2.3MiB live, 73.7MiB allocated
Counts
20 → 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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) 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 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (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)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) t))
(/.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 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
Outputs
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) t))
Calls

5 calls:

8.0ms
t
8.0ms
(*.f64 (PI.f64) t)
6.0ms
(/.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
v
5.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.2%1v
99.2%1t
99.2%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))))
99.2%1(*.f64 v v)
99.2%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes59.0ms (0.5%)

Memory
-12.1MiB live, 68.2MiB allocated
Counts
17 → 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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) 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 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (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)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Outputs
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
Calls

5 calls:

36.0ms
t
7.0ms
(*.f64 (PI.f64) t)
6.0ms
(/.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))))
5.0ms
v
4.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.1%1v
99.1%1t
99.1%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))))
99.1%1(*.f64 v v)
99.1%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes56.0ms (0.4%)

Memory
19.8MiB live, 57.0MiB allocated
Counts
16 → 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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) 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 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (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)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
Outputs
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
Calls

5 calls:

35.0ms
t
6.0ms
(/.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))))
5.0ms
(*.f64 (PI.f64) t)
5.0ms
v
4.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.1%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))))
99.1%1v
99.1%1t
99.1%1(*.f64 v v)
99.1%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes26.0ms (0.2%)

Memory
-13.0MiB live, 65.0MiB allocated
Counts
15 → 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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) 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 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (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)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
Outputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
Calls

5 calls:

6.0ms
t
6.0ms
(*.f64 (PI.f64) t)
5.0ms
(/.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))))
5.0ms
v
4.0ms
(*.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)

regimes32.0ms (0.3%)

Memory
3.1MiB live, 54.0MiB allocated
Counts
14 → 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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) 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 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (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)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.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:

14.0ms
(/.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))))
5.0ms
t
5.0ms
(*.f64 (PI.f64) t)
5.0ms
v
4.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.8%1v
98.8%1(*.f64 v v)
98.8%1t
98.8%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))))
98.8%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes15.0ms (0.1%)

Memory
-4.2MiB live, 33.1MiB 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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t))
Calls

5 calls:

4.0ms
(*.f64 v v)
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
(*.f64 (PI.f64) t)
3.0ms
v
3.0ms
t
Results
AccuracySegmentsBranch
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%1v
98.7%1t
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
0.4MiB live, 39.2MiB 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:

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
v
2.0ms
t
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)

regimes32.0ms (0.3%)

Memory
-18.7MiB live, 20.5MiB 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:

25.0ms
v
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
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.6%1v
98.6%1t
98.6%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))))
98.6%1(*.f64 v v)
98.6%1(*.f64 (PI.f64) t)
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes8.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated
Accuracy

Total -0.1b remaining (-10%)

Threshold costs -0.1b (-10%)

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

Compiled 46 to 30 computations (34.8% saved)

simplify11.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Algorithm
1×egg-herbie
Rules
46×*-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
065232
194232
2101232
3105232
4107232
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #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 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))))
(/.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) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) t))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) 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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
Outputs
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #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 (fma.f64 (*.f64 v 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 (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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))))
(/.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) t)))
(/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) t))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) t)))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) 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 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 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))

soundness1.6s (12.4%)

Memory
-23.9MiB live, 1 261.2MiB allocated
Rules
23 106×accelerator-lowering-fma.f32
23 106×accelerator-lowering-fma.f64
16 094×accelerator-lowering-fma.f32
16 094×accelerator-lowering-fma.f64
15 946×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037163
1197159
21508159
08771148
03604525
111554202
248523981
082243786
01952113
15762013
224131898
080351805
03628909
111398196
247787786
081917429
042168
1235165
21564165
08618154
037265
1214265
21755265
08475247
01973
111573
291067
0874561
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 640 to 374 computations (41.6% saved)

preprocess206.0ms (1.6%)

Memory
-8.8MiB live, 222.6MiB allocated
Remove

(negabs t)

(abs v)

Compiler

Compiled 1 360 to 742 computations (45.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...