NMSE Section 6.1 mentioned, B

Time bar (total: 14.7s)

analyze100.0ms (0.7%)

Memory
18.5MiB live, 181.8MiB allocated
Algorithm
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%99.9%0.1%0%0%0%4
12.5%12.5%87.4%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
46.9%46.8%53.1%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
71.1%71%28.9%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
85%84.9%15%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.3s (9.1%)

Memory
39.1MiB live, 1 757.9MiB allocated
Samples
963.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 667.0ms
ival-div: 277.0ms (41.5% of total)
ival-mult: 249.0ms (37.3% of total)
ival-sub: 72.0ms (10.8% of total)
ival-pi: 51.0ms (7.6% of total)
exact: 9.0ms (1.3% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess343.0ms (2.3%)

Memory
-51.0MiB live, 546.8MiB allocated
Algorithm
egg-herbie
Rules
8 062×accelerator-lowering-fma.f32
8 062×accelerator-lowering-fma.f64
4 668×*-lowering-*.f32
4 668×*-lowering-*.f64
2 098×neg-lowering-neg.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038130
1134114
2468114
32364114
45207114
57440114
01521
13519
29719
338218
4155817
5426517
0838717
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
Outputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))
Call 2
Inputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b)))
(* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b)))))
(* (* (/ (PI) 2) (/ 1 (- (* a a) (* b b)))) (- (/ 1 b) (/ 1 a)))
Outputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(/ (* (* (PI) 1/2) (/ (+ (/ 1 a) (/ -1 b)) (+ b a))) (- b a))
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b)))
(* (+ (/ -1 a) (/ -1 b)) (/ (* (PI) 1/2) (- (* b b) (* a a))))
(* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b))))
(* (PI) (/ (/ (+ (/ -1 a) (/ -1 b)) (- a b)) (* 2 (+ b a))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b))))
(* (PI) (/ (/ (+ (/ -1 a) (/ -1 b)) (- a b)) (* 2 (+ b a))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b)))))
(* (+ (/ -1 a) (/ -1 b)) (/ (* (PI) 1/2) (- (* b b) (* a a))))
(* (* (/ (PI) 2) (/ 1 (- (* a a) (* b b)))) (- (/ 1 b) (/ 1 a)))
(/ (* (* (PI) 1/2) (/ (+ (/ 1 a) (/ -1 b)) (+ b a))) (- b a))
Symmetry

(sort a b)

explain247.0ms (1.7%)

Memory
1.6MiB live, 329.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-2(-3.2074175672754444e+158 -2.4549739007002505e-32)(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
160-0-(-.f64 (*.f64 b b) (*.f64 a a))
32(-1.1250470507930536e-237 1.4108269347377866e+161)0-(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
00-0-(*.f64 a a)
00-0-a
00-0-(/.f64 (PI.f64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(*.f64 b b)
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 1 binary64) b)
00-0-(/.f64 #s(literal 1 binary64) a)
00-0-b
00-0-(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))n*u320
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue160
(*.f64 b b)overflow79
(*.f64 a a)overflow66
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o50
(*.f64 b b)overflow79
(*.f64 a a)overflow66
(-.f64 (*.f64 b b) (*.f64 a a))overflow129
Confusion
Predicted +Predicted -
+507
-3196
Precision
0.9433962264150944
Recall
0.8771929824561403
Confusion?
Predicted +Predicted MaybePredicted -
+5007
-30196
Precision?
0.9433962264150944
Recall?
0.8771929824561403
Freqs
test
numberfreq
0203
153
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
82.0ms512×0valid
Compiler

Compiled 204 to 64 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-sub: 31.0ms (51.2% of total)
ival-div: 15.0ms (24.8% of total)
ival-mult: 11.0ms (18.2% of total)
ival-pi: 2.0ms (3.3% of total)
exact: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 19 to 12 computations (36.8% saved)

prune1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.3%
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))
79.2%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 42 to 27 computations (35.7% saved)

simplify757.0ms (5.2%)

Memory
3.4MiB live, 1 137.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (PI.f64) a)
cost-diff0
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
cost-diff0
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))
cost-diff0
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff128
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
cost-diff128
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Rules
35 764×accelerator-lowering-fma.f32
35 764×accelerator-lowering-fma.f64
5 458×*-lowering-*.f32
5 458×*-lowering-*.f64
1 496×neg-lowering-neg.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020137
147131
2134131
3491127
41862127
55109127
08234127
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
(/ (PI) 2)
(PI)
2
(/ 1 (- (* b b) (* a a)))
1
(- (* b b) (* a a))
(* b b)
b
(* a a)
a
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(/ 1 b)
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (- (* b b) (* a a)))
(/ (- (/ (PI) a) (/ (PI) b)) 2)
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
a
(/ (PI) b)
b
2
(- (* b b) (* a a))
(* b b)
(* a a)
Outputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(/ 1 (- (* b b) (* a a)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a))
1
#s(literal 1 binary64)
(- (* b b) (* a a))
(-.f64 (*.f64 b b) (*.f64 a a))
(* b b)
(*.f64 b b)
b
(* a a)
(*.f64 a a)
a
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (- (* b b) (* a a)))
(*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
(/ (- (/ (PI) a) (/ (PI) b)) 2)
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(/ (PI) b)
(/.f64 (PI.f64) b)
b
2
#s(literal 2 binary64)
(- (* b b) (* a a))
(-.f64 (*.f64 b b) (*.f64 a a))
(* b b)
(*.f64 b b)
(* a a)
(*.f64 a a)

localize71.0ms (0.5%)

Memory
10.4MiB live, 167.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 (PI.f64) b)
accuracy99.5%
(/.f64 (PI.f64) a)
accuracy94.2%
(-.f64 (*.f64 b b) (*.f64 a a))
accuracy88.3%
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))
accuracy99.7%
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
accuracy99.2%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
accuracy94.2%
(-.f64 (*.f64 b b) (*.f64 a a))
accuracy88.6%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Samples
44.0ms256×0valid
Compiler

Compiled 135 to 22 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 19.0ms (62.7% of total)
ival-mult: 7.0ms (23.1% of total)
ival-sub: 3.0ms (9.9% of total)
ival-pi: 1.0ms (3.3% 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
4.7MiB live, 43.3MiB allocated
Counts
11 → 192
Calls
Call 1
Inputs
#<alt (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))>
#<alt (* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))>
#<alt (/ (PI) 2)>
#<alt (PI)>
#<alt (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (- (* b b) (* a a)))>
#<alt (/ (- (/ (PI) a) (/ (PI) b)) 2)>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (/ (PI) a)>
#<alt (- (* b b) (* a a))>
#<alt (/ 1 (- (* b b) (* a a)))>
#<alt (/ (PI) b)>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (* -1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (* 1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (/ (PI) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (* -1 (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (* -1 (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (* -1 (/ (PI) b))>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (PI) a)>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (/ (PI) a)>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (* -1 (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (/ -1 (pow a 2))>
#<alt (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))>
#<alt (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))>
#<alt (+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (/ -1 (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))>
#<alt (/ -1 (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
b
@0
(- (* b b) (* a a))
1.0ms
b
@0
(/ (- (/ (PI) a) (/ (PI) b)) 2)
1.0ms
b
@0
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
1.0ms
b
@0
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
1.0ms
a
@inf
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))

rewrite499.0ms (3.4%)

Memory
10.4MiB live, 943.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 872×*-lowering-*.f32
4 872×*-lowering-*.f64
4 358×/-lowering-/.f32
4 358×/-lowering-/.f64
2 280×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02091
115987
2173487
0842587
Stop Event
iter limit
node limit
Counts
11 → 799
Calls
Call 1
Inputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
(/ (PI) 2)
(PI)
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (- (* b b) (* a a)))
(/ (- (/ (PI) a) (/ (PI) b)) 2)
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(- (* b b) (* a a))
(/ 1 (- (* b b) (* a a)))
(/ (PI) b)
Outputs
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal -1 binary64) b)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 (/.f64 (PI.f64) b) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) a)) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) b)) (-.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) b) (*.f64 b a)) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (PI.f64) a) (*.f64 b a)) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 b (PI.f64)) b)) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) b)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))))
(-.f64 (/.f64 (*.f64 (PI.f64) b) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 b a))) (/.f64 (*.f64 (PI.f64) a) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -2 binary64))) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (neg.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 b (PI.f64)) b)) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal -1 binary64) b)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))))
(neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(/.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) (*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 b a)))
(/.f64 (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -2 binary64)))
(/.f64 (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) (neg.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -2 binary64)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))))) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 a a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 b b) (*.f64 a a))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 a a)))) (+.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 b b) (*.f64 a a)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) (/.f64 (*.f64 b b) #s(literal 1 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 a a) #s(literal 1 binary64)) (/.f64 (*.f64 a a) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) (/.f64 (*.f64 a a) #s(literal 1 binary64))))))
(pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
(*.f64 (-.f64 b a) (+.f64 b a))
(*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (+.f64 b a) (-.f64 b a))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) (neg.f64 (-.f64 b a)))
(pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 (*.f64 b b) (*.f64 a a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (PI.f64) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 b (PI.f64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)))
(/.f64 (PI.f64) b)
(/.f64 #s(literal 1 binary64) (/.f64 b (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b))))
(pow.f64 (/.f64 b (PI.f64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) b))

simplify396.0ms (2.7%)

Memory
-0.3MiB live, 955.8MiB allocated
Algorithm
egg-herbie
Rules
12 726×accelerator-lowering-fma.f32
12 726×accelerator-lowering-fma.f64
5 552×*-lowering-*.f32
5 552×*-lowering-*.f64
2 106×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03032686
17982643
223472553
364832553
081952428
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(* -1/2 (/ (PI) b))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(* -1/2 (/ (PI) b))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(* -1/2 (/ (PI) b))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(* 1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(* 1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(* -1 (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(* -1 (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(* -1 (/ (PI) b))
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (PI) a)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(/ (PI) a)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(* -1 (pow a 2))
(- (pow b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(pow b 2)
(+ (* -1 (pow a 2)) (pow b 2))
(+ (* -1 (pow a 2)) (pow b 2))
(+ (* -1 (pow a 2)) (pow b 2))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(/ -1 (pow a 2))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ 1 (pow b 2))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ -1 (pow a 2))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/ -1 (pow a 2))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) a) (*.f64 a a))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 a (*.f64 a (*.f64 a a))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a a)))) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (/.f64 b (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a (*.f64 a a))))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) a) (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (PI.f64) b)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b)) (*.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (/.f64 (*.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.f64 b b))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (*.f64 a (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b (*.f64 b b))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (*.f64 a (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 b b)) (*.f64 a (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b (*.f64 b b))))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) a) #s(literal -1/2 binary64)))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (*.f64 (PI.f64) (/.f64 b (*.f64 a a))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (PI.f64) a)))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) a) (*.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) a)) (*.f64 a a))
(* -1/2 (/ (PI) (pow a 2)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a)
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (pow.f64 a #s(literal 6 binary64))))) (/.f64 (PI.f64) (*.f64 a a))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (*.f64 (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (+.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (pow.f64 a #s(literal 8 binary64)))))))))
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b) b))) (*.f64 b b))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (+.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))))) (*.f64 b b))
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b) b))) (*.f64 b b))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (+.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))))) (*.f64 b b))
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (*.f64 (*.f64 a a) (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64)))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b #s(literal 8 binary64)))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a)
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(*.f64 (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (*.f64 a a))) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))) (*.f64 a a))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (*.f64 a a)))) (*.f64 a a)))
(* -1/2 (/ (PI) (pow a 2)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a)
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(*.f64 (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (*.f64 a a))) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))) (*.f64 a a))
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(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(+.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b)))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 8 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b)))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)

eval153.0ms (1%)

Memory
35.8MiB live, 316.3MiB allocated
Compiler

Compiled 33 825 to 3 242 computations (90.4% saved)

prune166.0ms (1.1%)

Memory
5.5MiB live, 311.9MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1 137151 152
Fresh000
Picked112
Done000
Total1 138161 154
Accuracy
99.9%
Counts
1 154 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.7%
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) a) b) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))
99.7%
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))
52.1%
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
79.3%
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))
49.7%
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
55.5%
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (*.f64 b b))
54.7%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (-.f64 (*.f64 b b) (*.f64 a a)))
61.1%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
79.2%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
55.5%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
45.0%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
88.5%
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
99.7%
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
55.5%
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) #s(literal -1 binary64)))
79.2%
(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
Compiler

Compiled 541 to 364 computations (32.7% saved)

simplify387.0ms (2.6%)

Memory
-42.3MiB live, 663.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
cost-diff0
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))
cost-diff0
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a))
cost-diff0
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))
cost-diff128
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
cost-diff0
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
cost-diff0
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
cost-diff0
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
cost-diff0
(/.f64 (PI.f64) a)
cost-diff0
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
cost-diff0
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a))
cost-diff0
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
Rules
10 944×accelerator-lowering-fma.f32
10 944×accelerator-lowering-fma.f64
4 198×*-lowering-*.f32
4 198×*-lowering-*.f64
1 822×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032229
185229
2232229
3627229
41565229
54463229
08122229
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a)))
(/ (- (/ (PI) a) (/ (PI) b)) (+ b a))
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
a
(/ (PI) b)
b
(+ b a)
(/ 1/2 (- b a))
1/2
(- b a)
(/ (/ (* 1/2 (PI)) a) (* b b))
(/ (* 1/2 (PI)) a)
(* 1/2 (PI))
1/2
(PI)
a
(* b b)
b
(/ (* (PI) (+ (/ -1/2 b) (/ 1/2 a))) (* b b))
(* (PI) (+ (/ -1/2 b) (/ 1/2 a)))
(PI)
(+ (/ -1/2 b) (/ 1/2 a))
(/ -1/2 b)
-1/2
b
(/ 1/2 a)
1/2
a
(* b b)
(* (/ (* 1/2 (PI)) (* b b)) (- (/ 1 a) (/ 1 b)))
(/ (* 1/2 (PI)) (* b b))
(* 1/2 (PI))
1/2
(PI)
(* b b)
b
(- (/ 1 a) (/ 1 b))
(/ 1 a)
1
a
(/ 1 b)
(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a))
(/ (- (/ (PI) a) (/ (PI) b)) 2)
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
a
(/ (PI) b)
b
2
(+ b a)
(- b a)
Outputs
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a)))
(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (-.f64 b a)) (+.f64 a b))
(/ (- (/ (PI) a) (/ (PI) b)) (+ b a))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(/ (PI) b)
(/.f64 (PI.f64) b)
b
(+ b a)
(+.f64 a b)
(/ 1/2 (- b a))
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
1/2
#s(literal 1/2 binary64)
(- b a)
(-.f64 b a)
(/ (/ (* 1/2 (PI)) a) (* b b))
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a)
(/ (* 1/2 (PI)) a)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
(* 1/2 (PI))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
a
(* b b)
(*.f64 b b)
b
(/ (* (PI) (+ (/ -1/2 b) (/ 1/2 a))) (* b b))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
(* (PI) (+ (/ -1/2 b) (/ 1/2 a)))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
(PI)
(PI.f64)
(+ (/ -1/2 b) (/ 1/2 a))
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
(/ -1/2 b)
(/.f64 #s(literal -1/2 binary64) b)
-1/2
#s(literal -1/2 binary64)
b
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(* b b)
(*.f64 b b)
(* (/ (* 1/2 (PI)) (* b b)) (- (/ 1 a) (/ 1 b)))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
(/ (* 1/2 (PI)) (* b b))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b)
(* 1/2 (PI))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
(* b b)
(*.f64 b b)
b
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) #s(literal 2 binary64)))
(/ (- (/ (PI) a) (/ (PI) b)) 2)
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(/ (PI) b)
(/.f64 (PI.f64) b)
b
2
#s(literal 2 binary64)
(+ b a)
(+.f64 a b)
(- b a)
(-.f64 b a)

localize142.0ms (1%)

Memory
26.9MiB live, 179.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))
accuracy99.7%
(/.f64 (PI.f64) b)
accuracy99.7%
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a))
accuracy99.5%
(/.f64 (PI.f64) a)
accuracy100.0%
(PI.f64)
accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
accuracy99.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))
accuracy93.8%
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
accuracy100.0%
(PI.f64)
accuracy100.0%
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
accuracy99.5%
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
accuracy93.6%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (PI.f64))
accuracy100.0%
(PI.f64)
accuracy99.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
accuracy88.2%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
accuracy99.8%
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
accuracy99.7%
(/.f64 (PI.f64) b)
accuracy99.7%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a))
accuracy99.5%
(/.f64 (PI.f64) a)
Samples
70.0ms256×0valid
Compiler

Compiled 233 to 34 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 34.0ms (71.1% of total)
ival-mult: 7.0ms (14.6% of total)
ival-sub: 3.0ms (6.3% of total)
ival-add: 2.0ms (4.2% of total)
ival-pi: 1.0ms (2.1% of total)
exact: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series52.0ms (0.4%)

Memory
9.8MiB live, 54.0MiB allocated
Counts
18 → 336
Calls
Call 1
Inputs
#<alt (* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a)))>
#<alt (/ (- (/ (PI) a) (/ (PI) b)) (+ b a))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (/ (PI) a)>
#<alt (/ (/ (* 1/2 (PI)) a) (* b b))>
#<alt (/ (* 1/2 (PI)) a)>
#<alt (* 1/2 (PI))>
#<alt (PI)>
#<alt (/ (* (PI) (+ (/ -1/2 b) (/ 1/2 a))) (* b b))>
#<alt (* (PI) (+ (/ -1/2 b) (/ 1/2 a)))>
#<alt (+ (/ -1/2 b) (/ 1/2 a))>
#<alt (* (/ (* 1/2 (PI)) (* b b)) (- (/ 1 a) (/ 1 b)))>
#<alt (/ (* 1/2 (PI)) (* b b))>
#<alt (/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))>
#<alt (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a))>
#<alt (/ (- (/ (PI) a) (/ (PI) b)) 2)>
#<alt (/ (PI) b)>
#<alt (- (/ 1 a) (/ 1 b))>
Outputs
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (PI) (* a b))>
#<alt (/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)>
#<alt (/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)>
#<alt (/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)>
#<alt (* -1 (/ (PI) (* a b)))>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)>
#<alt (* -1 (/ (PI) (* a b)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (PI) (* -1 (PI))) a)) (/ (PI) b)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (* b (- (PI) (* -1 (PI)))) a))) (* -1 (PI))) a)) (/ (PI) b)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) a)) (* -1 (* b (- (PI) (* -1 (PI)))))) a))) (* -1 (PI))) a)) (/ (PI) b)) a))>
#<alt (* -1 (/ (PI) (* a b)))>
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)>
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)>
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)>
#<alt (/ (PI) (* a b))>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)>
#<alt (/ (PI) (* a b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))>
#<alt (/ (PI) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (* -1 (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (* -1 (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (* -1 (/ (PI) b))>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (PI) a)>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (/ (PI) a)>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* -1/2 (/ (PI) (pow b 3)))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (* -1/2 (/ (PI) (pow b 3)))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (* -1/2 (/ (PI) (pow b 3)))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (* 1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* 1/2 (/ (PI) a))>
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#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (* -1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* -1/2 (/ (PI) b))>
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#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (/ -1/2 b)>
#<alt (/ (- (* 1/2 (/ b a)) 1/2) b)>
#<alt (/ (- (* 1/2 (/ b a)) 1/2) b)>
#<alt (/ (- (* 1/2 (/ b a)) 1/2) b)>
#<alt (/ 1/2 a)>
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (/ 1/2 a)>
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#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (/ 1/2 a)>
#<alt (/ (+ 1/2 (* -1/2 (/ a b))) a)>
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#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (* -1/2 (/ (PI) (pow b 3)))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))>
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#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
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#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
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#<alt (* 1/2 (/ (PI) (pow b 2)))>
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#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))) (* 1/2 (/ (PI) b))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4))))) (* 1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))))))) a)>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (- (PI) (* -1 (PI))) a))) a)>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (* 1/2 (/ (- (PI) (* -1 (PI))) a)))) a)>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3))) (* 1/2 (/ (- (PI) (* -1 (PI))) a))))) a)>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1 (/ (+ (* -1/2 (/ (- (PI) (* -1 (PI))) a)) (* 1/2 (/ (PI) b))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) a)) (* 1/2 (- (PI) (* -1 (PI))))) a)) (* 1/2 (/ (PI) b))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) a)) (* 1/2 (* b (- (PI) (* -1 (PI)))))) a)) (* 1/2 (- (PI) (* -1 (PI))))) a)) (* 1/2 (/ (PI) b))) a))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))))) b)>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))) (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))))) b)>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))))))) b)>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))) b)>
#<alt (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b)))) b)>
#<alt (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3))) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))))) b)>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* -1 (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (- (* -1 (PI)) (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* 1/2 (* a (- (* -1 (PI)) (PI))))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (* -1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (* 1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
Calls

84 calls:

TimeVariablePointExpression
24.0ms
a
@0
(/ (/ (* 1/2 (PI)) a) (* b b))
2.0ms
b
@-inf
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a)))
1.0ms
b
@0
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a)))
1.0ms
a
@0
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a)))
1.0ms
a
@inf
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a)))

rewrite374.0ms (2.5%)

Memory
-10.4MiB live, 651.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 150×/-lowering-/.f32
5 150×/-lowering-/.f64
3 516×*-lowering-*.f32
3 516×*-lowering-*.f64
2 704×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032156
1251154
22788154
08176154
Stop Event
iter limit
node limit
Counts
18 → 1 224
Calls
Call 1
Inputs
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a)))
(/ (- (/ (PI) a) (/ (PI) b)) (+ b a))
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(/ (/ (* 1/2 (PI)) a) (* b b))
(/ (* 1/2 (PI)) a)
(* 1/2 (PI))
(PI)
(/ (* (PI) (+ (/ -1/2 b) (/ 1/2 a))) (* b b))
(* (PI) (+ (/ -1/2 b) (/ 1/2 a)))
(+ (/ -1/2 b) (/ 1/2 a))
(* (/ (* 1/2 (PI)) (* b b)) (- (/ 1 a) (/ 1 b)))
(/ (* 1/2 (PI)) (* b b))
(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a))
(/ (- (/ (PI) a) (/ (PI) b)) 2)
(/ (PI) b)
(- (/ 1 a) (/ 1 b))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (/.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) (/.f64 (/.f64 (PI.f64) b) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) b) (*.f64 a b)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (PI.f64) a) (*.f64 a b)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (PI.f64) (*.f64 a (/.f64 a (PI.f64)))) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (PI.f64) (*.f64 a (/.f64 a (PI.f64)))) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a (/.f64 a (PI.f64)))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b (/.f64 b (PI.f64)))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (/.f64 (PI.f64) b) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) b) (*.f64 a b)) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (PI.f64) a) (*.f64 a b)) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (PI.f64) (*.f64 a (/.f64 a (PI.f64)))) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (PI.f64) (*.f64 a (/.f64 a (PI.f64)))) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a (/.f64 a (PI.f64)))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b (/.f64 b (PI.f64)))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 b a)))) (/.f64 (/.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 b a)))))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (+.f64 a b)) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (+.f64 a b)) (-.f64 b a)))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)))) (/.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)))))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (+.f64 a b)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)))) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (+.f64 a b)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)))))
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(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b a))) (/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -2 binary64)) (+.f64 a b)) (-.f64 b a)))
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(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (/.f64 a (PI.f64)))) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) (*.f64 a (/.f64 a (PI.f64)))) (/.f64 (PI.f64) (*.f64 b (/.f64 b (PI.f64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(exp.f64 (log.f64 (/.f64 (PI.f64) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 b (PI.f64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)))
(/.f64 (PI.f64) b)
(/.f64 #s(literal 1 binary64) (/.f64 b (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(pow.f64 (/.f64 b (PI.f64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(-.f64 (/.f64 b (*.f64 a b)) (/.f64 a (*.f64 a b)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b)))) (*.f64 a b)) (/.f64 (/.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b)))) (*.f64 a b)))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 a b)) (*.f64 a b)) (/.f64 (/.f64 (*.f64 a a) (+.f64 a b)) (*.f64 a b)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a b))) (/.f64 (-.f64 b a) (neg.f64 (*.f64 a b))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 a (-.f64 #s(literal 0 binary64) b))) (/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) a) b)))
(-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) b))
(/.f64 (-.f64 b a) (*.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a b) (-.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) (neg.f64 (*.f64 a b)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -1 binary64))) (*.f64 a (-.f64 #s(literal 0 binary64) b)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a))) (neg.f64 (neg.f64 (*.f64 a b))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -1 binary64)))) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 (neg.f64 (/.f64 (-.f64 b a) a)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a)))))
(pow.f64 (/.f64 (*.f64 a b) (-.f64 b a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(*.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))

simplify368.0ms (2.5%)

Memory
19.3MiB live, 569.1MiB allocated
Algorithm
egg-herbie
Rules
7 898×accelerator-lowering-fma.f32
7 898×accelerator-lowering-fma.f64
4 026×*-lowering-*.f32
4 026×*-lowering-*.f64
1 960×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05035678
115484972
253903958
089373833
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
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(* -1 (/ (+ (* -1/2 (/ (- (PI) (* -1 (PI))) a)) (* 1/2 (/ (PI) b))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) a)) (* 1/2 (- (PI) (* -1 (PI))))) a)) (* 1/2 (/ (PI) b))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) a)) (* 1/2 (* b (- (PI) (* -1 (PI)))))) a)) (* 1/2 (- (PI) (* -1 (PI))))) a)) (* 1/2 (/ (PI) b))) a))
(* -1/2 (/ (PI) (* a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))) (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))))))) b)
(* 1/2 (/ (PI) (* a b)))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))) b)
(/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b)))) b)
(/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3))) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))))) b)
(* 1/2 (/ (PI) (* a b)))
(* -1 (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* 1/2 (* a (- (* -1 (PI)) (PI))))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(* -1/2 (/ (PI) b))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(* -1/2 (/ (PI) b))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(* -1/2 (/ (PI) b))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(* 1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(* 1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (*.f64 a (/.f64 (PI.f64) (*.f64 b (*.f64 b b))))) (/.f64 (PI.f64) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) (*.f64 a (+.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b b))) #s(literal 1/2 binary64))) (*.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 b #s(literal 4 binary64))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) (*.f64 a (+.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b b))) #s(literal 1/2 binary64))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 a (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a a))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) a) a)) (*.f64 a a))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) a) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (*.f64 b b))) (*.f64 a (*.f64 a a))))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) b)) a))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 b b))) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b))) a)) a)) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a))
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (*.f64 b (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 a a)) a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 a a)) a)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 a a)) a)) (*.f64 (*.f64 b #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) a) b) (*.f64 a a)) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 b b))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) a))) (*.f64 b b))) (*.f64 b b))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) a)) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 (PI.f64) a)) (*.f64 b (*.f64 b b)))))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (PI.f64) a) b) #s(literal 0 binary64)) (PI.f64))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 (PI.f64) a)) b)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)))) b)) b)) (*.f64 b b))
(/ (PI) (* a b))
(/.f64 (/.f64 (PI.f64) b) a)
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 a (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 b b))) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/.f64 (+.f64 (/.f64 (PI.f64) b) (*.f64 a (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 b b)) (*.f64 a (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))))))) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/.f64 (+.f64 (/.f64 (PI.f64) b) (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))) (*.f64 a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64))))) (/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 b b))))) a)
(* -1 (/ (PI) (* a b)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 (PI.f64) b)) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) a)) (*.f64 (PI.f64) #s(literal 2 binary64))) a) (/.f64 (PI.f64) b)) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 a (*.f64 a a))) (/.f64 (+.f64 (*.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) a)) (*.f64 (PI.f64) #s(literal 2 binary64))) a)) (/.f64 (PI.f64) b)) a)
(* -1 (/ (PI) (* a b)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a))
(* -1 (/ (+ (* -1 (/ (- (PI) (* -1 (PI))) a)) (/ (PI) b)) a))
(/.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (* b (- (PI) (* -1 (PI)))) a))) (* -1 (PI))) a)) (/ (PI) b)) a))
(/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (+.f64 (*.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) a)) (*.f64 (PI.f64) #s(literal 2 binary64))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) a)) (* -1 (* b (- (PI) (* -1 (PI)))))) a))) (* -1 (PI))) a)) (/ (PI) b)) a))
(/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (*.f64 b b) a)) (*.f64 b (*.f64 (PI.f64) #s(literal -2 binary64)))) a) (*.f64 (PI.f64) #s(literal 2 binary64))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (PI) (* a b)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a))
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 a a)) (/.f64 (PI.f64) a)) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/.f64 (-.f64 (*.f64 b (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 b (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) a) #s(literal -2 binary64))))) (/.f64 (PI.f64) a)) b)
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(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (PI.f64) a) b) #s(literal 0 binary64)) (PI.f64))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 (PI.f64) a)) b)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a)
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))) (* 1/2 (/ (PI) b))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 a (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))))) a)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 b b)) (*.f64 a (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))))))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4))))) (* 1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))))))) a)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 b b))) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))) (*.f64 a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64)))))))) a)
(* -1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (- (PI) (* -1 (PI))) a))) a)
(/.f64 (+.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))) a)) a)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (* 1/2 (/ (- (PI) (* -1 (PI))) a)))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))) a) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 b (*.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 a a))))) a)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3))) (* 1/2 (/ (- (PI) (* -1 (PI))) a))))) a)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) a))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 b (*.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 a a))))) a)
(* -1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a)
(* -1 (/ (+ (* -1/2 (/ (- (PI) (* -1 (PI))) a)) (* 1/2 (/ (PI) b))) a))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -2 binary64))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) a)) (* 1/2 (- (PI) (* -1 (PI))))) a)) (* 1/2 (/ (PI) b))) a))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 (PI.f64) #s(literal 2 binary64)))) a) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) a)) (* 1/2 (* b (- (PI) (* -1 (PI)))))) a)) (* 1/2 (- (PI) (* -1 (PI))))) a)) (* 1/2 (/ (PI) b))) a))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 b b) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -2 binary64))) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (PI.f64) #s(literal 2 binary64))))) a)) a)) (-.f64 #s(literal 0 binary64) a))
(* -1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))))) b)
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 #s(literal 1/2 binary64) b))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))) (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))))) b)
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 b (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) a) #s(literal -2 binary64)))))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))))))) b)
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 a a))) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) a) #s(literal -2 binary64)) (*.f64 b (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))))))))) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a)
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))) b)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) a)) b))
(/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b)))) b)
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (PI.f64) #s(literal -2 binary64)))) b) b) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) b)))) b)
(/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3))) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))))) b)
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (PI.f64) #s(literal -2 binary64)))) b) b) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 (PI.f64) #s(literal -2 binary64)))) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) b))))) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a)
(* -1 (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (- (* -1 (PI)) (PI)) b))) b))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) a)) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (PI.f64) #s(literal -2 binary64)))) b) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -2 binary64)))) b)) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* 1/2 (* a (- (* -1 (PI)) (PI))))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -2 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (*.f64 (PI.f64) #s(literal -2 binary64))))) b) (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (PI.f64) #s(literal -2 binary64))))) b)) b)) (-.f64 #s(literal 0 binary64) b))
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)
(* -1/2 (/ (PI) b))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(* -1/2 (/ (PI) b))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(* -1/2 (/ (PI) b))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) a)) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) a)) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/.f64 (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) a)) b)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(/ (- (/ b a) 1) b)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b)
(/ (- (/ b a) 1) b)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b)
(/ (- (/ b a) 1) b)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))

eval298.0ms (2%)

Memory
5.4MiB live, 549.8MiB allocated
Compiler

Compiled 44 102 to 4 882 computations (88.9% saved)

prune548.0ms (3.7%)

Memory
-88.3MiB live, 608.2MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1 957171 974
Fresh7310
Picked505
Done011
Total1 969211 990
Accuracy
100.0%
Counts
1 990 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.6%
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) b) b)
61.2%
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a)
52.1%
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
67.3%
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) b)
79.3%
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))
97.9%
(/.f64 (/.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (-.f64 b a))
65.5%
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a))
74.2%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a))
79.2%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
61.7%
(/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b)
61.1%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b))
63.3%
(/.f64 (*.f64 (-.f64 b a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (*.f64 (*.f64 a b) b))
61.1%
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) a))
45.0%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
61.7%
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b)) (/.f64 b (PI.f64)))
51.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a))
45.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a a))
98.7%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a)))
67.3%
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
67.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b))
65.5%
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
Compiler

Compiled 603 to 422 computations (30% saved)

simplify278.0ms (1.9%)

Memory
12.5MiB live, 560.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal -1/2 binary64))
cost-diff128
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
cost-diff128
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) a))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b))
cost-diff0
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a)
cost-diff0
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
cost-diff0
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a)
cost-diff0
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
cost-diff0
(/.f64 (PI.f64) a)
cost-diff0
(/.f64 (/.f64 (PI.f64) a) b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) b)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b))
cost-diff0
(+.f64 a b)
cost-diff0
(/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
cost-diff0
(*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a)))
Rules
7 462×accelerator-lowering-fma.f32
7 462×accelerator-lowering-fma.f64
3 116×*-lowering-*.f32
3 116×*-lowering-*.f64
2 428×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032188
173186
2206186
3604186
42136186
53725186
66837186
08281186
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1/2 (* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a)))
1/2
(* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a))
(/ (+ a b) (- (/ (PI) a) (/ (PI) b)))
(+ a b)
a
b
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
(/ (PI) b)
(- b a)
(* (/ 1/2 b) (/ (/ (PI) a) b))
(/ 1/2 b)
1/2
b
(/ (/ (PI) a) b)
(/ (PI) a)
(PI)
a
(/ (/ (/ (* 1/2 (PI)) a) a) b)
(/ (/ (* 1/2 (PI)) a) a)
(/ (* 1/2 (PI)) a)
(* 1/2 (PI))
1/2
(PI)
a
b
(/ (/ (* (PI) (/ -1/2 b)) a) (- b a))
(/ (* (PI) (/ -1/2 b)) a)
(* (PI) (/ -1/2 b))
(PI)
(/ -1/2 b)
-1/2
b
a
(- b a)
(/ (* (* (PI) -1/2) (/ 1 (* b b))) (- 0 a))
(* (* (PI) -1/2) (/ 1 (* b b)))
(* (PI) -1/2)
(PI)
-1/2
(/ 1 (* b b))
1
(* b b)
b
(- 0 a)
0
a
Outputs
(/ 1/2 (* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
1/2
#s(literal 1/2 binary64)
(* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(/ (+ a b) (- (/ (PI) a) (/ (PI) b)))
(/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(+ a b)
(+.f64 a b)
a
b
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
(/ (PI) b)
(/.f64 (PI.f64) b)
(- b a)
(-.f64 b a)
(* (/ 1/2 b) (/ (/ (PI) a) b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
b
(/ (/ (PI) a) b)
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(/ (/ (/ (* 1/2 (PI)) a) a) b)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 a b))
(/ (/ (* 1/2 (PI)) a) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a)
(/ (* 1/2 (PI)) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (PI))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
a
b
(/ (/ (* (PI) (/ -1/2 b)) a) (- b a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (-.f64 b a)))) b)
(/ (* (PI) (/ -1/2 b)) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) a)
(* (PI) (/ -1/2 b))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)
(PI)
(PI.f64)
(/ -1/2 b)
(/.f64 #s(literal -1/2 binary64) b)
-1/2
#s(literal -1/2 binary64)
b
a
(- b a)
(-.f64 b a)
(/ (* (* (PI) -1/2) (/ 1 (* b b))) (- 0 a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(* (* (PI) -1/2) (/ 1 (* b b)))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))
(* (PI) -1/2)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)
(/ 1 (* b b))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
1
#s(literal 1 binary64)
(* b b)
(*.f64 b b)
b
(- 0 a)
(-.f64 #s(literal 0 binary64) a)
0
#s(literal 0 binary64)
a

localize125.0ms (0.8%)

Memory
37.5MiB live, 259.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(PI.f64)
accuracy99.7%
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 b b))
accuracy87.9%
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) a))
accuracy100.0%
(PI.f64)
accuracy99.8%
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a))
accuracy99.6%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a)
accuracy99.5%
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b))
accuracy100.0%
(PI.f64)
accuracy99.8%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a)
accuracy99.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
accuracy88.1%
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
accuracy100.0%
(PI.f64)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b))
accuracy99.7%
(/.f64 (/.f64 (PI.f64) a) b)
accuracy99.5%
(/.f64 (PI.f64) a)
accuracy99.7%
(/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
accuracy99.7%
(/.f64 (PI.f64) b)
accuracy99.5%
(/.f64 (PI.f64) a)
accuracy98.9%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a)))
Samples
70.0ms256×0valid
Compiler

Compiled 195 to 34 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-div: 33.0ms (64.6% of total)
ival-mult: 10.0ms (19.6% of total)
ival-sub: 5.0ms (9.8% of total)
ival-add: 2.0ms (3.9% of total)
ival-pi: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series33.0ms (0.2%)

Memory
7.5MiB live, 79.7MiB allocated
Counts
21 → 336
Calls
Call 1
Inputs
#<alt (/ 1/2 (* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a)))>
#<alt (* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a))>
#<alt (/ (+ a b) (- (/ (PI) a) (/ (PI) b)))>
#<alt (+ a b)>
#<alt (* (/ 1/2 b) (/ (/ (PI) a) b))>
#<alt (/ 1/2 b)>
#<alt (/ (/ (PI) a) b)>
#<alt (/ (PI) a)>
#<alt (/ (/ (/ (* 1/2 (PI)) a) a) b)>
#<alt (/ (/ (* 1/2 (PI)) a) a)>
#<alt (/ (* 1/2 (PI)) a)>
#<alt (* 1/2 (PI))>
#<alt (/ (/ (* (PI) (/ -1/2 b)) a) (- b a))>
#<alt (/ (* (PI) (/ -1/2 b)) a)>
#<alt (* (PI) (/ -1/2 b))>
#<alt (PI)>
#<alt (/ (* (* (PI) -1/2) (/ 1 (* b b))) (- 0 a))>
#<alt (* (* (PI) -1/2) (/ 1 (* b b)))>
#<alt (* (PI) -1/2)>
#<alt (/ (PI) b)>
#<alt (/ 1 (* b b))>
Outputs
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (* a (pow b 2)) (PI))>
#<alt (* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))>
#<alt (* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))>
#<alt (* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (* (pow a 2) (- (+ (* -1 (/ (* b (+ b (* -1 b))) (* a (PI)))) (/ b (PI))) (* -1 (/ (pow b 2) (* a (PI))))))>
#<alt (* (pow a 2) (- (+ (* -1 (/ (* b (+ b (* -1 b))) (* a (PI)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) (PI)))) (/ b (PI)))) (+ (* -1 (/ (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI))))) (pow a 2))) (* -1 (/ (pow b 2) (* a (PI)))))))>
#<alt (* (pow a 2) (- (+ (* -1 (/ (* b (+ b (* -1 b))) (* a (PI)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) (PI)))) (+ (/ b (PI)) (/ (* b (- (* -1 (/ (pow b 3) (PI))) (* -1 (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI)))))))) (pow a 3))))) (+ (* -1 (/ (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI))))) (pow a 2))) (* -1 (/ (pow b 2) (* a (PI)))))))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI))) a)) (/ b (PI))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (+ (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (- (* -1 (/ (pow b 3) (PI))) (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI))))) a))) (/ (pow b 2) (PI))) a)) (/ b (PI))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (+ (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (- (+ (* -1 (/ (pow b 3) (PI))) (/ (* b (- (* -1 (/ (pow b 3) (PI))) (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI)))))) a)) (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI))))) a))) (/ (pow b 2) (PI))) a)) (/ b (PI))))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (* b (+ (* b (- (* -1 (/ (+ a (* -1 a)) (PI))) (* -1 (/ a (PI))))) (/ (pow a 2) (PI))))>
#<alt (* b (+ (* b (- (+ (* -1 (* b (+ (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) (PI))) (* -1 (/ a (PI)))) a)) (/ 1 (PI))))) (* -1 (/ (+ a (* -1 a)) (PI)))) (* -1 (/ a (PI))))) (/ (pow a 2) (PI))))>
#<alt (* b (+ (* b (- (+ (* -1 (/ (+ a (* -1 a)) (PI))) (* b (- (* -1 (* b (+ (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) (PI))) (* -1 (/ a (PI)))) (pow a 2))) (/ 1 (* a (PI)))))) (+ (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) (PI))) (* -1 (/ a (PI)))) a)) (/ 1 (PI)))))) (* -1 (/ a (PI))))) (/ (pow a 2) (PI))))>
#<alt (/ (* a (pow b 2)) (PI))>
#<alt (* (pow b 2) (- (+ (/ a (PI)) (/ (* a (+ a (* -1 a))) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI))))))>
#<alt (* (pow b 2) (- (+ (* -1 (/ (pow a 3) (* (pow b 2) (PI)))) (+ (/ a (PI)) (/ (* a (+ a (* -1 a))) (* b (PI))))) (+ (* -1 (/ (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (pow a 2) (* b (PI)))))))>
#<alt (* (pow b 2) (- (+ (* -1 (/ (pow a 3) (* (pow b 2) (PI)))) (+ (/ a (PI)) (+ (/ (* a (+ a (* -1 a))) (* b (PI))) (/ (* a (- (* -1 (/ (pow a 3) (PI))) (* -1 (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI)))))))) (pow b 3))))) (+ (* -1 (/ (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (pow a 2) (* b (PI)))))))>
#<alt (/ (* a (pow b 2)) (PI))>
#<alt (* (pow b 2) (- (+ (/ a (PI)) (/ (* a (+ a (* -1 a))) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI))))))>
#<alt (* (pow b 2) (+ (* -1 (/ (- (+ (* -1 (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (/ (pow a 3) (* b (PI)))) (/ (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) b)) b)) (/ a (PI))))>
#<alt (* (pow b 2) (+ (* -1 (/ (+ (* -1 (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (* -1 (/ (+ (* -1 (- (/ (pow a 3) (PI)) (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))))) (* -1 (/ (* a (- (/ (pow a 3) (PI)) (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))))) b))) b))) b)) (/ a (PI))))>
#<alt (/ (* a b) (PI))>
#<alt (* a (+ (* 2 (/ a (PI))) (/ b (PI))))>
#<alt (* a (+ (* a (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))) (/ b (PI))))>
#<alt (* a (+ (* a (+ (* a (+ (* 2 (/ a (* (pow b 2) (PI)))) (* 2 (/ 1 (* b (PI)))))) (* 2 (/ 1 (PI))))) (/ b (PI))))>
#<alt (* -1 (/ (* a b) (PI)))>
#<alt (* a (- (+ (* -1 (/ b (PI))) (* -1 (/ (pow b 2) (* a (PI))))) (/ (pow b 2) (* a (PI)))))>
#<alt (* a (- (+ (* -1 (/ b (PI))) (+ (* -1 (/ (pow b 2) (* a (PI)))) (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 2)))) (/ (pow b 2) (* a (PI)))))>
#<alt (* a (- (+ (* -1 (/ b (PI))) (+ (* -1 (/ (pow b 2) (* a (PI)))) (/ (* (pow b 2) (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 3)))) (+ (* -1 (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 2))) (/ (pow b 2) (* a (PI))))))>
#<alt (* -1 (/ (* a b) (PI)))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI))) a)) (/ b (PI)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (+ (* -1 (/ (pow b 2) (PI))) (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) a)) (/ (pow b 2) (PI))) a)) (/ b (PI)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) a)) (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI))))) a)) (* -1 (/ (pow b 2) (PI)))) (/ (pow b 2) (PI))) a)) (/ b (PI)))))>
#<alt (* -1 (/ (* a b) (PI)))>
#<alt (* b (+ (* -2 (/ b (PI))) (* -1 (/ a (PI)))))>
#<alt (* b (+ (* -1 (/ a (PI))) (* b (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI)))))))>
#<alt (* b (+ (* -1 (/ a (PI))) (* b (- (* b (- (* -2 (/ b (* (pow a 2) (PI)))) (* 2 (/ 1 (* a (PI)))))) (* 2 (/ 1 (PI)))))))>
#<alt (/ (* a b) (PI))>
#<alt (* b (- (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI))))))>
#<alt (* b (- (+ (/ a (PI)) (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2)) (/ (pow a 2) (* b (PI))))) (* -1 (/ (pow a 2) (* b (PI))))))>
#<alt (* b (- (+ (/ a (PI)) (+ (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 3)) (/ (pow a 2) (* b (PI))))) (+ (* -1 (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (pow a 2) (* b (PI)))))))>
#<alt (/ (* a b) (PI))>
#<alt (* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))) b)))))>
#<alt (* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b)))))>
#<alt (* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b)) (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))))) b)) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b)))))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (PI) (pow a 3))) (* b (+ (* 1/2 (/ (PI) (pow a 4))) (* 1/2 (/ (* b (PI)) (pow a 5)))))))) b)>
#<alt (* -1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3)))))) (pow b 2))>
#<alt (* -1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (* -1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* -1/2 (/ (* (pow a 2) (PI)) b))) b)) (* 1/2 (PI))) b)) (* -1/2 (/ (PI) a))) (pow b 2))>
#<alt (* -1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) (pow b 2))) (* -1/2 (/ (* a (PI)) (pow b 3)))) a)>
#<alt (/ (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (PI) (pow b 4))) (* -1/2 (/ (* a (PI)) (pow b 5)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 3)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* -1/2 (/ (PI) (pow b 2)))>
#<alt (* -1/2 (/ (PI) (pow b 2)))>
#<alt (* -1/2 (/ (PI) (pow b 2)))>
#<alt (* -1/2 (/ (PI) (pow b 2)))>
#<alt (* -1/2 (/ (PI) (pow b 2)))>
#<alt (* -1/2 (/ (PI) (pow b 2)))>
#<alt (* -1/2 (/ (PI) (pow b 2)))>
#<alt (* -1/2 (/ (PI) (pow b 2)))>
#<alt (* -1/2 (/ (PI) (pow b 2)))>
#<alt (* -1/2 (/ (PI) (pow b 2)))>
#<alt (* -1/2 (/ (PI) (pow b 2)))>
#<alt (* -1/2 (/ (PI) (pow b 2)))>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
Calls

84 calls:

TimeVariablePointExpression
5.0ms
b
@0
(/ (/ (PI) a) b)
4.0ms
b
@0
(/ (/ (* (PI) (/ -1/2 b)) a) (- b a))
3.0ms
b
@0
(* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a))
1.0ms
b
@0
(/ (/ (/ (* 1/2 (PI)) a) a) b)
1.0ms
a
@inf
(* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a))

rewrite434.0ms (3%)

Memory
-17.5MiB live, 748.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 098×/-lowering-/.f32
5 098×/-lowering-/.f64
4 748×*-lowering-*.f32
4 748×*-lowering-*.f64
2 208×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032141
1220139
22101139
08532139
Stop Event
iter limit
node limit
Counts
21 → 905
Calls
Call 1
Inputs
(/ 1/2 (* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a)))
(* (/ (+ a b) (- (/ (PI) a) (/ (PI) b))) (- b a))
(/ (+ a b) (- (/ (PI) a) (/ (PI) b)))
(+ a b)
(* (/ 1/2 b) (/ (/ (PI) a) b))
(/ 1/2 b)
(/ (/ (PI) a) b)
(/ (PI) a)
(/ (/ (/ (* 1/2 (PI)) a) a) b)
(/ (/ (* 1/2 (PI)) a) a)
(/ (* 1/2 (PI)) a)
(* 1/2 (PI))
(/ (/ (* (PI) (/ -1/2 b)) a) (- b a))
(/ (* (PI) (/ -1/2 b)) a)
(* (PI) (/ -1/2 b))
(PI)
(/ (* (* (PI) -1/2) (/ 1 (* b b))) (- 0 a))
(* (* (PI) -1/2) (/ 1 (* b b)))
(* (PI) -1/2)
(/ (PI) b)
(/ 1 (* b b))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)))))
(/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b a) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (-.f64 #s(literal 0 binary64) (-.f64 b a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(pow.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 b a) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (-.f64 b a)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (pow.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b))))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 a b))
(+.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) b) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 b (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(-.f64 (/.f64 b (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))) (/.f64 a (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b)))) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))) (/.f64 (/.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b)))) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))) (/.f64 (/.f64 (*.f64 a a) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))))
(-.f64 (/.f64 (+.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))) (/.f64 a (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (*.f64 a a) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(fma.f64 b (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(fma.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) b (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) (neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(/.f64 (*.f64 (+.f64 a b) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b)))))
(/.f64 (*.f64 (+.f64 a b) (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (+.f64 a b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) (+.f64 a b)))
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (+.f64 a b)) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b))) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))))
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (+.f64 a b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 a b)) (*.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (+.f64 a b))) (*.f64 (+.f64 a b) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)))
(/.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b))))
(/.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 a b))
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))
(/.f64 (*.f64 (-.f64 b a) (-.f64 #s(literal 0 binary64) (+.f64 a b))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 b a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)))
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (+.f64 a b))
(/.f64 (neg.f64 (*.f64 (+.f64 a b) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (+.f64 a b) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (+.f64 a b))) (neg.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b))) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 0 binary64) (+.f64 a b)))) (neg.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 a b))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (+.f64 a b)))) (neg.f64 (*.f64 (+.f64 a b) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (-.f64 #s(literal 0 binary64) (+.f64 a b)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 b a))) (neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 b a))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))))
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(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) b)
(/.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 (*.f64 b b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 b (PI.f64)) (/.f64 b #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 b #s(literal -1/2 binary64)) (/.f64 b (PI.f64))) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal -1/2 binary64) b))
(*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (PI.f64) (/.f64 b #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (PI.f64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (PI.f64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (PI.f64)))
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(*.f64 #s(literal -1/2 binary64) (PI.f64))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 b (PI.f64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)))
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(/.f64 #s(literal 1 binary64) (/.f64 b (PI.f64)))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b))))
(pow.f64 (/.f64 b (PI.f64)) #s(literal -1 binary64))
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(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))
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(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 b))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) b)))
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(/.f64 (/.f64 #s(literal 1 binary64) b) b)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(pow.f64 b #s(literal -2 binary64))
(pow.f64 (*.f64 b b) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 b (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))

simplify469.0ms (3.2%)

Memory
-35.8MiB live, 884.6MiB allocated
Algorithm
egg-herbie
Rules
10 624×accelerator-lowering-fma.f32
10 624×accelerator-lowering-fma.f64
5 534×*-lowering-*.f32
5 534×*-lowering-*.f64
3 070×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06234717
120854148
279894116
084573988
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (* a (pow b 2)) (PI))
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))
(/ (* (pow a 2) b) (PI))
(* (pow a 2) (- (+ (* -1 (/ (* b (+ b (* -1 b))) (* a (PI)))) (/ b (PI))) (* -1 (/ (pow b 2) (* a (PI))))))
(* (pow a 2) (- (+ (* -1 (/ (* b (+ b (* -1 b))) (* a (PI)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) (PI)))) (/ b (PI)))) (+ (* -1 (/ (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI))))) (pow a 2))) (* -1 (/ (pow b 2) (* a (PI)))))))
(* (pow a 2) (- (+ (* -1 (/ (* b (+ b (* -1 b))) (* a (PI)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) (PI)))) (+ (/ b (PI)) (/ (* b (- (* -1 (/ (pow b 3) (PI))) (* -1 (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI)))))))) (pow a 3))))) (+ (* -1 (/ (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI))))) (pow a 2))) (* -1 (/ (pow b 2) (* a (PI)))))))
(/ (* (pow a 2) b) (PI))
(* (pow a 2) (+ (* -1 (/ (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI))) a)) (/ b (PI))))
(* (pow a 2) (+ (* -1 (/ (- (+ (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (- (* -1 (/ (pow b 3) (PI))) (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI))))) a))) (/ (pow b 2) (PI))) a)) (/ b (PI))))
(* (pow a 2) (+ (* -1 (/ (- (+ (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (- (+ (* -1 (/ (pow b 3) (PI))) (/ (* b (- (* -1 (/ (pow b 3) (PI))) (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI)))))) a)) (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI))))) a))) (/ (pow b 2) (PI))) a)) (/ b (PI))))
(/ (* (pow a 2) b) (PI))
(* b (+ (* b (- (* -1 (/ (+ a (* -1 a)) (PI))) (* -1 (/ a (PI))))) (/ (pow a 2) (PI))))
(* b (+ (* b (- (+ (* -1 (* b (+ (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) (PI))) (* -1 (/ a (PI)))) a)) (/ 1 (PI))))) (* -1 (/ (+ a (* -1 a)) (PI)))) (* -1 (/ a (PI))))) (/ (pow a 2) (PI))))
(* b (+ (* b (- (+ (* -1 (/ (+ a (* -1 a)) (PI))) (* b (- (* -1 (* b (+ (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) (PI))) (* -1 (/ a (PI)))) (pow a 2))) (/ 1 (* a (PI)))))) (+ (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) (PI))) (* -1 (/ a (PI)))) a)) (/ 1 (PI)))))) (* -1 (/ a (PI))))) (/ (pow a 2) (PI))))
(/ (* a (pow b 2)) (PI))
(* (pow b 2) (- (+ (/ a (PI)) (/ (* a (+ a (* -1 a))) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI))))))
(* (pow b 2) (- (+ (* -1 (/ (pow a 3) (* (pow b 2) (PI)))) (+ (/ a (PI)) (/ (* a (+ a (* -1 a))) (* b (PI))))) (+ (* -1 (/ (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (pow a 2) (* b (PI)))))))
(* (pow b 2) (- (+ (* -1 (/ (pow a 3) (* (pow b 2) (PI)))) (+ (/ a (PI)) (+ (/ (* a (+ a (* -1 a))) (* b (PI))) (/ (* a (- (* -1 (/ (pow a 3) (PI))) (* -1 (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI)))))))) (pow b 3))))) (+ (* -1 (/ (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (pow a 2) (* b (PI)))))))
(/ (* a (pow b 2)) (PI))
(* (pow b 2) (- (+ (/ a (PI)) (/ (* a (+ a (* -1 a))) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI))))))
(* (pow b 2) (+ (* -1 (/ (- (+ (* -1 (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (/ (pow a 3) (* b (PI)))) (/ (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) b)) b)) (/ a (PI))))
(* (pow b 2) (+ (* -1 (/ (+ (* -1 (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (* -1 (/ (+ (* -1 (- (/ (pow a 3) (PI)) (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))))) (* -1 (/ (* a (- (/ (pow a 3) (PI)) (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))))) b))) b))) b)) (/ a (PI))))
(/ (* a b) (PI))
(* a (+ (* 2 (/ a (PI))) (/ b (PI))))
(* a (+ (* a (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))) (/ b (PI))))
(* a (+ (* a (+ (* a (+ (* 2 (/ a (* (pow b 2) (PI)))) (* 2 (/ 1 (* b (PI)))))) (* 2 (/ 1 (PI))))) (/ b (PI))))
(* -1 (/ (* a b) (PI)))
(* a (- (+ (* -1 (/ b (PI))) (* -1 (/ (pow b 2) (* a (PI))))) (/ (pow b 2) (* a (PI)))))
(* a (- (+ (* -1 (/ b (PI))) (+ (* -1 (/ (pow b 2) (* a (PI)))) (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 2)))) (/ (pow b 2) (* a (PI)))))
(* a (- (+ (* -1 (/ b (PI))) (+ (* -1 (/ (pow b 2) (* a (PI)))) (/ (* (pow b 2) (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 3)))) (+ (* -1 (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 2))) (/ (pow b 2) (* a (PI))))))
(* -1 (/ (* a b) (PI)))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI))) a)) (/ b (PI)))))
(* -1 (* a (+ (* -1 (/ (- (+ (* -1 (/ (pow b 2) (PI))) (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) a)) (/ (pow b 2) (PI))) a)) (/ b (PI)))))
(* -1 (* a (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) a)) (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI))))) a)) (* -1 (/ (pow b 2) (PI)))) (/ (pow b 2) (PI))) a)) (/ b (PI)))))
(* -1 (/ (* a b) (PI)))
(* b (+ (* -2 (/ b (PI))) (* -1 (/ a (PI)))))
(* b (+ (* -1 (/ a (PI))) (* b (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI)))))))
(* b (+ (* -1 (/ a (PI))) (* b (- (* b (- (* -2 (/ b (* (pow a 2) (PI)))) (* 2 (/ 1 (* a (PI)))))) (* 2 (/ 1 (PI)))))))
(/ (* a b) (PI))
(* b (- (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI))))))
(* b (- (+ (/ a (PI)) (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2)) (/ (pow a 2) (* b (PI))))) (* -1 (/ (pow a 2) (* b (PI))))))
(* b (- (+ (/ a (PI)) (+ (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 3)) (/ (pow a 2) (* b (PI))))) (+ (* -1 (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (pow a 2) (* b (PI)))))))
(/ (* a b) (PI))
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))) b)))))
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b)))))
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b)) (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))))) b)) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b)))))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (PI) (pow a 3))) (* b (+ (* 1/2 (/ (PI) (pow a 4))) (* 1/2 (/ (* b (PI)) (pow a 5)))))))) b)
(* -1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3)))))) (pow b 2))
(* -1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow b 2))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (* -1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* -1/2 (/ (* (pow a 2) (PI)) b))) b)) (* 1/2 (PI))) b)) (* -1/2 (/ (PI) a))) (pow b 2))
(* -1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) (pow b 2))) (* -1/2 (/ (* a (PI)) (pow b 3)))) a)
(/ (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (PI) (pow b 4))) (* -1/2 (/ (* a (PI)) (pow b 5)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 3)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) (* a b)))
(* -1/2 (/ (PI) b))
(* -1/2 (/ (PI) b))
(* -1/2 (/ (PI) b))
(* -1/2 (/ (PI) b))
(* -1/2 (/ (PI) b))
(* -1/2 (/ (PI) b))
(* -1/2 (/ (PI) b))
(* -1/2 (/ (PI) b))
(* -1/2 (/ (PI) b))
(* -1/2 (/ (PI) b))
(* -1/2 (/ (PI) b))
(* -1/2 (/ (PI) b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* -1/2 (/ (PI) (pow b 2)))
(* -1/2 (/ (PI) (pow b 2)))
(* -1/2 (/ (PI) (pow b 2)))
(* -1/2 (/ (PI) (pow b 2)))
(* -1/2 (/ (PI) (pow b 2)))
(* -1/2 (/ (PI) (pow b 2)))
(* -1/2 (/ (PI) (pow b 2)))
(* -1/2 (/ (PI) (pow b 2)))
(* -1/2 (/ (PI) (pow b 2)))
(* -1/2 (/ (PI) (pow b 2)))
(* -1/2 (/ (PI) (pow b 2)))
(* -1/2 (/ (PI) (pow b 2)))
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a (+.f64 (/.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (PI.f64) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))))) (+.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (+.f64 (/.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 b b))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (-.f64 (*.f64 (+.f64 (/.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 b b))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a (-.f64 (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 b b))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (+.f64 (/.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b))))) a))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b)))) a)) (*.f64 a a))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b)))) a)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (*.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64))) (*.f64 a a))) (*.f64 a a))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b)))) a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64)) (*.f64 (PI.f64) b)) (*.f64 a a)) (/.f64 (-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (*.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64))) (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))))) (*.f64 a (*.f64 a a)))))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b)))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) (/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64)) (*.f64 (PI.f64) b)) a))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
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(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64))
(* -1/2 (/ (PI) (pow b 2)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64))
(* -1/2 (/ (PI) (pow b 2)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64))
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))

eval246.0ms (1.7%)

Memory
16.7MiB live, 372.9MiB allocated
Compiler

Compiled 24 496 to 3 703 computations (84.9% saved)

prune184.0ms (1.3%)

Memory
2.4MiB live, 394.3MiB allocated
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New1 459141 473
Fresh10515
Picked325
Done011
Total1 472221 494
Accuracy
100.0%
Counts
1 494 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.6%
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) b) b)
67.3%
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))
79.3%
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))
65.5%
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a))
57.2%
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
57.2%
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b))
67.2%
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a)))
61.7%
(/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b)
52.1%
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b)
61.1%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b))
51.9%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
45.0%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
45.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a a))
67.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b))
56.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))
56.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))))
98.7%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a)))
64.8%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a b) (-.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 b a)))
87.9%
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))))
52.1%
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
65.5%
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a)))
57.2%
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))
Compiler

Compiled 533 to 379 computations (28.9% saved)

simplify101.0ms (0.7%)

Memory
10.7MiB live, 88.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))
cost-diff0
(*.f64 a b)
cost-diff0
(/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))))
cost-diff0
(/.f64 (PI.f64) a)
cost-diff0
(/.f64 b (/.f64 (PI.f64) a))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a)))
cost-diff0
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
cost-diff0
(PI.f64)
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))
cost-diff0
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) a)
cost-diff0
(/.f64 (/.f64 (PI.f64) a) (*.f64 a b))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))
cost-diff0
(/.f64 (*.f64 a a) (PI.f64))
cost-diff0
(*.f64 b (+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64))))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))))
cost-diff256
(+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))
Rules
1 396×*-lowering-*.f32
1 396×*-lowering-*.f64
1 044×/-lowering-/.f32
1 044×/-lowering-/.f64
982×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026171
171165
2193159
3450159
4928159
51654159
62273159
72587159
82762159
92833159
102861159
112981159
123071159
133093159
143093159
153093159
163093159
03093159
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 1/2 (* b (+ (/ (* a a) (PI)) (/ (* a b) (PI)))))
1/2
(* b (+ (/ (* a a) (PI)) (/ (* a b) (PI))))
b
(+ (/ (* a a) (PI)) (/ (* a b) (PI)))
(/ (* a a) (PI))
(* a a)
a
(PI)
(/ (* a b) (PI))
(* a b)
(* 1/2 (/ (/ (PI) a) (* a b)))
1/2
(/ (/ (PI) a) (* a b))
(/ (PI) a)
(PI)
a
(* a b)
b
(/ (* (/ 1/2 a) (PI)) (* b b))
(* (/ 1/2 a) (PI))
(/ 1/2 a)
1/2
a
(PI)
(* b b)
b
(/ (/ 1/2 (/ b (/ (PI) a))) a)
(/ 1/2 (/ b (/ (PI) a)))
1/2
(/ b (/ (PI) a))
b
(/ (PI) a)
(PI)
a
(/ 1 (/ (* a b) (/ 1/2 (/ a (PI)))))
1
(/ (* a b) (/ 1/2 (/ a (PI))))
(* a b)
a
b
(/ 1/2 (/ a (PI)))
1/2
(/ a (PI))
(PI)
Outputs
(/ 1/2 (* b (+ (/ (* a a) (PI)) (/ (* a b) (PI)))))
(/.f64 (PI.f64) (*.f64 b (*.f64 a (/.f64 (+.f64 b a) #s(literal 1/2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* b (+ (/ (* a a) (PI)) (/ (* a b) (PI))))
(/.f64 (*.f64 b (+.f64 b a)) (/.f64 (PI.f64) a))
b
(+ (/ (* a a) (PI)) (/ (* a b) (PI)))
(/.f64 (+.f64 b a) (/.f64 (PI.f64) a))
(/ (* a a) (PI))
(/.f64 a (/.f64 (PI.f64) a))
(* a a)
(*.f64 a a)
a
(PI)
(PI.f64)
(/ (* a b) (PI))
(/.f64 b (/.f64 (PI.f64) a))
(* a b)
(*.f64 b a)
(* 1/2 (/ (/ (PI) a) (* a b)))
(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
1/2
#s(literal 1/2 binary64)
(/ (/ (PI) a) (* a b))
(/.f64 (PI.f64) (*.f64 b (*.f64 a a)))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(* a b)
(*.f64 b a)
b
(/ (* (/ 1/2 a) (PI)) (* b b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 b a)) (PI.f64)))
(* (/ 1/2 a) (PI))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(PI)
(PI.f64)
(* b b)
(*.f64 b b)
b
(/ (/ 1/2 (/ b (/ (PI) a))) a)
(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
(/ 1/2 (/ b (/ (PI) a)))
(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) a)))
1/2
#s(literal 1/2 binary64)
(/ b (/ (PI) a))
(/.f64 b (/.f64 (PI.f64) a))
b
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(/ 1 (/ (* a b) (/ 1/2 (/ a (PI)))))
(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
1
#s(literal 1 binary64)
(/ (* a b) (/ 1/2 (/ a (PI))))
(/.f64 b (/.f64 (PI.f64) (/.f64 a (/.f64 #s(literal 1/2 binary64) a))))
(* a b)
(*.f64 b a)
a
b
(/ 1/2 (/ a (PI)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))
1/2
#s(literal 1/2 binary64)
(/ a (PI))
(/.f64 a (PI.f64))
(PI)
(PI.f64)

localize99.0ms (0.7%)

Memory
-12.3MiB live, 195.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))))
accuracy99.6%
(/.f64 a (PI.f64))
accuracy99.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))
accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))))
accuracy99.8%
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
accuracy99.7%
(/.f64 b (/.f64 (PI.f64) a))
accuracy99.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a)))
accuracy99.5%
(/.f64 (PI.f64) a)
accuracy100.0%
(*.f64 b b)
accuracy100.0%
(PI.f64)
accuracy99.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))
accuracy88.2%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))
accuracy100.0%
(PI.f64)
accuracy99.7%
(/.f64 (/.f64 (PI.f64) a) (*.f64 a b))
accuracy99.5%
(/.f64 (PI.f64) a)
accuracy99.3%
(/.f64 (*.f64 a b) (PI.f64))
accuracy98.9%
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))))
accuracy96.5%
(+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))
accuracy95.1%
(*.f64 b (+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64))))
Samples
63.0ms256×0valid
Compiler

Compiled 175 to 28 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 25.0ms (68.9% of total)
ival-mult: 9.0ms (24.8% of total)
ival-pi: 1.0ms (2.8% of total)
ival-add: 1.0ms (2.8% 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
-2.7MiB live, 35.4MiB allocated
Counts
21 → 396
Calls
Call 1
Inputs
#<alt (+ (/ (* a a) (PI)) (/ (* a b) (PI)))>
#<alt (/ 1/2 (* b (+ (/ (* a a) (PI)) (/ (* a b) (PI)))))>
#<alt (* b (+ (/ (* a a) (PI)) (/ (* a b) (PI))))>
#<alt (/ (* a a) (PI))>
#<alt (* 1/2 (/ (/ (PI) a) (* a b)))>
#<alt (/ (/ (PI) a) (* a b))>
#<alt (/ (PI) a)>
#<alt (PI)>
#<alt (/ (* (/ 1/2 a) (PI)) (* b b))>
#<alt (* (/ 1/2 a) (PI))>
#<alt (/ 1/2 a)>
#<alt (/ (/ 1/2 (/ b (/ (PI) a))) a)>
#<alt (/ 1/2 (/ b (/ (PI) a)))>
#<alt (/ b (/ (PI) a))>
#<alt (/ 1 (/ (* a b) (/ 1/2 (/ a (PI)))))>
#<alt (/ (* a b) (/ 1/2 (/ a (PI))))>
#<alt (* a b)>
#<alt (/ 1/2 (/ a (PI)))>
#<alt (/ (* a b) (PI))>
#<alt (* b b)>
#<alt (/ a (PI))>
Outputs
#<alt (/ (* a b) (PI))>
#<alt (* a (+ (/ a (PI)) (/ b (PI))))>
#<alt (* a (+ (/ a (PI)) (/ b (PI))))>
#<alt (* a (+ (/ a (PI)) (/ b (PI))))>
#<alt (/ (pow a 2) (PI))>
#<alt (* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))>
#<alt (* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))>
#<alt (* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))>
#<alt (/ (pow a 2) (PI))>
#<alt (* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))>
#<alt (* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))>
#<alt (* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))>
#<alt (/ (pow a 2) (PI))>
#<alt (+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))>
#<alt (+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))>
#<alt (+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))>
#<alt (/ (* a b) (PI))>
#<alt (* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))>
#<alt (* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))>
#<alt (* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))>
#<alt (/ (* a b) (PI))>
#<alt (* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (PI)))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (PI)))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (PI)))))))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (- (* 1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1/2 (/ (* b (PI)) (pow a 5))) (* -1/2 (/ (PI) (pow a 4))))) (* 1/2 (/ (PI) (pow a 3)))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (- (* 1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (- (* a (- (* -1/2 (/ (* a (PI)) (pow b 5))) (* -1/2 (/ (PI) (pow b 4))))) (* 1/2 (/ (PI) (pow b 3)))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (- (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))) (* 1/2 (/ (PI) a))) (pow a 2))>
#<alt (/ (- (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (* 1/2 (/ (PI) b))) (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (pow b 2) (PI)) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI))))>
#<alt (* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI))))>
#<alt (* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI))))>
#<alt (/ (* a (pow b 2)) (PI))>
#<alt (* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))>
#<alt (* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))>
#<alt (* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))>
#<alt (/ (* a (pow b 2)) (PI))>
#<alt (* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))>
#<alt (* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))>
#<alt (* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))>
#<alt (/ (* a (pow b 2)) (PI))>
#<alt (* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))>
#<alt (* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))>
#<alt (* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))>
#<alt (* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))>
#<alt (* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))>
#<alt (* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))>
#<alt (* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))>
#<alt (/ (pow a 2) (PI))>
#<alt (/ (pow a 2) (PI))>
#<alt (/ (pow a 2) (PI))>
#<alt (/ (pow a 2) (PI))>
#<alt (/ (pow a 2) (PI))>
#<alt (/ (pow a 2) (PI))>
#<alt (/ (pow a 2) (PI))>
#<alt (/ (pow a 2) (PI))>
#<alt (/ (pow a 2) (PI))>
#<alt (/ (pow a 2) (PI))>
#<alt (/ (pow a 2) (PI))>
#<alt (/ (pow a 2) (PI))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
Calls

99 calls:

TimeVariablePointExpression
2.0ms
a
@0
(/ 1/2 (* b (+ (/ (* a a) (PI)) (/ (* a b) (PI)))))
0.0ms
b
@0
(/ 1/2 (* b (+ (/ (* a a) (PI)) (/ (* a b) (PI)))))
0.0ms
b
@0
(/ (* a b) (/ 1/2 (/ a (PI))))
0.0ms
a
@0
(+ (/ (* a a) (PI)) (/ (* a b) (PI)))
0.0ms
b
@0
(+ (/ (* a a) (PI)) (/ (* a b) (PI)))

rewrite363.0ms (2.5%)

Memory
-4.1MiB live, 589.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 782×accelerator-lowering-fma.f32
4 782×accelerator-lowering-fma.f64
4 220×*-lowering-*.f32
4 220×*-lowering-*.f64
3 732×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026139
1185133
21669133
08389133
Stop Event
iter limit
node limit
Counts
21 → 1 252
Calls
Call 1
Inputs
(+ (/ (* a a) (PI)) (/ (* a b) (PI)))
(/ 1/2 (* b (+ (/ (* a a) (PI)) (/ (* a b) (PI)))))
(* b (+ (/ (* a a) (PI)) (/ (* a b) (PI))))
(/ (* a a) (PI))
(* 1/2 (/ (/ (PI) a) (* a b)))
(/ (/ (PI) a) (* a b))
(/ (PI) a)
(PI)
(/ (* (/ 1/2 a) (PI)) (* b b))
(* (/ 1/2 a) (PI))
(/ 1/2 a)
(/ (/ 1/2 (/ b (/ (PI) a))) a)
(/ 1/2 (/ b (/ (PI) a)))
(/ b (/ (PI) a))
(/ 1 (/ (* a b) (/ 1/2 (/ a (PI)))))
(/ (* a b) (/ 1/2 (/ a (PI))))
(* a b)
(/ 1/2 (/ a (PI)))
(/ (* a b) (PI))
(* b b)
(/ a (PI))
Outputs
(+.f64 (/.f64 a (/.f64 (PI.f64) a)) (/.f64 b (/.f64 (PI.f64) a)))
(+.f64 (/.f64 b (/.f64 (PI.f64) a)) (/.f64 a (/.f64 (PI.f64) a)))
(+.f64 (/.f64 (/.f64 (*.f64 a a) (/.f64 (PI.f64) (/.f64 a (/.f64 (PI.f64) a)))) (/.f64 (-.f64 a b) (/.f64 (PI.f64) a))) (neg.f64 (/.f64 (/.f64 (/.f64 b (/.f64 (PI.f64) a)) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 (-.f64 a b) (/.f64 (PI.f64) a)))))
(-.f64 (/.f64 a (/.f64 (PI.f64) a)) (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))))
(-.f64 (/.f64 b (/.f64 (PI.f64) a)) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (PI.f64)))
(-.f64 (/.f64 (/.f64 (*.f64 a a) (/.f64 (PI.f64) (/.f64 a (/.f64 (PI.f64) a)))) (/.f64 (-.f64 a b) (/.f64 (PI.f64) a))) (/.f64 (/.f64 (/.f64 b (/.f64 (PI.f64) a)) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 (-.f64 a b) (/.f64 (PI.f64) a))))
(-.f64 (/.f64 (/.f64 (/.f64 b (/.f64 (PI.f64) a)) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 (-.f64 b a) (/.f64 (PI.f64) a))) (/.f64 (/.f64 (*.f64 a a) (/.f64 (PI.f64) (/.f64 a (/.f64 (PI.f64) a)))) (/.f64 (-.f64 b a) (/.f64 (PI.f64) a))))
(fma.f64 a (/.f64 a (PI.f64)) (/.f64 b (/.f64 (PI.f64) a)))
(fma.f64 a (/.f64 b (PI.f64)) (/.f64 a (/.f64 (PI.f64) a)))
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 b (/.f64 (PI.f64) a)))
(fma.f64 (/.f64 a (/.f64 (PI.f64) a)) #s(literal 1 binary64) (/.f64 b (/.f64 (PI.f64) a)))
(fma.f64 b (/.f64 a (PI.f64)) (/.f64 a (/.f64 (PI.f64) a)))
(fma.f64 (*.f64 a b) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 a (/.f64 (PI.f64) a)))
(fma.f64 (/.f64 b (/.f64 (PI.f64) a)) #s(literal 1 binary64) (/.f64 a (/.f64 (PI.f64) a)))
(fma.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (PI.f64) a)) (/.f64 b (/.f64 (PI.f64) a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (PI.f64) a)) (/.f64 a (/.f64 (PI.f64) a)))
(fma.f64 (/.f64 a (PI.f64)) a (/.f64 b (/.f64 (PI.f64) a)))
(fma.f64 (/.f64 a (PI.f64)) b (/.f64 a (/.f64 (PI.f64) a)))
(fma.f64 (/.f64 a (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 b (/.f64 (PI.f64) a)))
(fma.f64 (/.f64 a (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (/.f64 a (/.f64 (PI.f64) a)))
(fma.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))) (/.f64 a (/.f64 (PI.f64) a)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (PI.f64)) (/.f64 b (/.f64 (PI.f64) a)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal -1 binary64) a))) (/.f64 b (/.f64 (PI.f64) a)))
(fma.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 a (/.f64 (PI.f64) a)))
(fma.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 b (/.f64 (PI.f64) a)))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 a (/.f64 (PI.f64) a)))
(fma.f64 (/.f64 (*.f64 a a) (/.f64 (PI.f64) (/.f64 a (/.f64 (PI.f64) a)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (/.f64 (PI.f64) a))) (neg.f64 (/.f64 (/.f64 (/.f64 b (/.f64 (PI.f64) a)) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 (-.f64 a b) (/.f64 (PI.f64) a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 a a) (/.f64 b (/.f64 (PI.f64) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 a b) (/.f64 a (/.f64 (PI.f64) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) #s(literal -1 binary64)) (/.f64 b (/.f64 (PI.f64) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) #s(literal -1 binary64)) (/.f64 a (/.f64 (PI.f64) a)))
(fma.f64 (/.f64 b (PI.f64)) a (/.f64 a (/.f64 (PI.f64) a)))
(fma.f64 (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 b (cbrt.f64 (PI.f64))) (/.f64 a (/.f64 (PI.f64) a)))
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(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 a (PI.f64)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (PI.f64))) #s(literal -1 binary64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) a)
(pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 a (PI.f64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 a (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 a #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 a #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (pow.f64 (/.f64 (/.f64 a (PI.f64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 a (PI.f64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 a b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))) (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))))
(neg.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))))
(neg.f64 (/.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))) #s(literal 1 binary64)))
(/.f64 a (/.f64 (PI.f64) b))
(/.f64 b (/.f64 (PI.f64) a))
(/.f64 (*.f64 a b) (PI.f64))
(/.f64 (/.f64 b (/.f64 (PI.f64) a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 a b) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 a b) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 b (/.f64 (PI.f64) a))))
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)))
(/.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))) #s(literal -1 binary64))
(/.f64 (/.f64 b (PI.f64)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (PI.f64))) (/.f64 #s(literal -1 binary64) a))
(/.f64 (/.f64 (*.f64 a b) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 a b) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 (*.f64 a b) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (*.f64 a b) (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 b (/.f64 (PI.f64) a)) #s(literal 1 binary64))
(pow.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal -1 binary64))
(*.f64 a (/.f64 b (PI.f64)))
(*.f64 b (/.f64 a (PI.f64)))
(*.f64 (*.f64 a b) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (/.f64 b (/.f64 (PI.f64) a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (PI.f64) a)))
(*.f64 (/.f64 a (PI.f64)) b)
(*.f64 (/.f64 a (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))))
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) (PI.f64)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 a b))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 b (PI.f64)) a)
(*.f64 (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 b (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 a (sqrt.f64 (PI.f64))) (/.f64 b (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 b (sqrt.f64 (PI.f64))) (/.f64 a (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 b (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 a (cbrt.f64 (PI.f64))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (PI.f64))) (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 (*.f64 a b) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 a b) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (*.f64 a b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 b (PI.f64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) a) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (/.f64 a (PI.f64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) a) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64))))
(*.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (*.f64 b b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(*.f64 b b)
(*.f64 (*.f64 b b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 b b))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) a)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64))))
(neg.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64))))
(neg.f64 (/.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 1 binary64)))
(/.f64 a (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) a))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 a (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)))
(/.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 a (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (neg.f64 (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 a (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (PI.f64) a) #s(literal -1 binary64))
(pow.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 a (PI.f64)))
(*.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) (PI.f64))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -1 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) a)
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 a (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) a) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64)))
(*.f64 (pow.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)))

simplify591.0ms (4%)

Memory
47.9MiB live, 977.5MiB allocated
Algorithm
egg-herbie
Rules
17 096×accelerator-lowering-fma.f32
17 096×accelerator-lowering-fma.f64
6 286×*-lowering-*.f32
6 286×*-lowering-*.f64
2 346×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01813037
14992984
213522881
338822860
082422835
Stop Event
iter limit
node limit
Counts
396 → 396
Calls
Call 1
Inputs
(/ (* a b) (PI))
(* a (+ (/ a (PI)) (/ b (PI))))
(* a (+ (/ a (PI)) (/ b (PI))))
(* a (+ (/ a (PI)) (/ b (PI))))
(/ (pow a 2) (PI))
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))
(/ (pow a 2) (PI))
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))
(/ (pow a 2) (PI))
(+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))
(+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))
(+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))
(/ (* a b) (PI))
(* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))
(* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))
(* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))
(/ (* a b) (PI))
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (PI)))))))
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (PI)))))))
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (PI)))))))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (- (* 1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1/2 (/ (* b (PI)) (pow a 5))) (* -1/2 (/ (PI) (pow a 4))))) (* 1/2 (/ (PI) (pow a 3)))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (- (* 1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (- (* a (- (* -1/2 (/ (* a (PI)) (pow b 5))) (* -1/2 (/ (PI) (pow b 4))))) (* 1/2 (/ (PI) (pow b 3)))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (- (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))) (* 1/2 (/ (PI) a))) (pow a 2))
(/ (- (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (* 1/2 (/ (PI) b))) (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (pow b 2) (PI)) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (* (pow a 2) b) (PI))
(* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI))))
(* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI))))
(* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI))))
(/ (* a (pow b 2)) (PI))
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))
(/ (* a (pow b 2)) (PI))
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))
(/ (* a (pow b 2)) (PI))
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI))))
(/ (* (pow a 2) b) (PI))
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))
(/ (* (pow a 2) b) (PI))
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))))
(/ (pow a 2) (PI))
(/ (pow a 2) (PI))
(/ (pow a 2) (PI))
(/ (pow a 2) (PI))
(/ (pow a 2) (PI))
(/ (pow a 2) (PI))
(/ (pow a 2) (PI))
(/ (pow a 2) (PI))
(/ (pow a 2) (PI))
(/ (pow a 2) (PI))
(/ (pow a 2) (PI))
(/ (pow a 2) (PI))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
Outputs
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(* a (+ (/ a (PI)) (/ b (PI))))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(* a (+ (/ a (PI)) (/ b (PI))))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(* a (+ (/ a (PI)) (/ b (PI))))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(/ (pow a 2) (PI))
(/.f64 (*.f64 a a) (PI.f64))
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(/ (pow a 2) (PI))
(/.f64 (*.f64 a a) (PI.f64))
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(* (pow a 2) (+ (/ 1 (PI)) (/ b (* a (PI)))))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(/ (pow a 2) (PI))
(/.f64 (*.f64 a a) (PI.f64))
(+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(* b (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (PI)))))))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (PI)))))))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (pow a 2) (* b (PI)))))))
(*.f64 (/.f64 a (PI.f64)) (+.f64 a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (- (* 1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))) b)
(/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1/2 binary64)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1/2 (/ (* b (PI)) (pow a 5))) (* -1/2 (/ (PI) (pow a 4))))) (* 1/2 (/ (PI) (pow a 3)))))) b)
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))))) (*.f64 b b)) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1/2 binary64)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 (PI.f64) (+.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (- (* 1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))) a)
(/.f64 (+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 b #s(literal 4 binary64)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (- (* a (- (* -1/2 (/ (* a (PI)) (pow b 5))) (* -1/2 (/ (PI) (pow b 4))))) (* 1/2 (/ (PI) (pow b 3)))))) a)
(/.f64 (+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 a a) (*.f64 (PI.f64) (-.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 4 binary64))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (- (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))) (* 1/2 (/ (PI) a))) (pow a 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))) (*.f64 a a))
(/ (- (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (* 1/2 (/ (PI) b))) (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 b (*.f64 (PI.f64) (+.f64 #s(literal -1 binary64) (/.f64 b a)))) a) (PI.f64))) a)) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1 (/ (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))) (*.f64 a a))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (pow b 2) (PI)) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 b (*.f64 (PI.f64) (+.f64 #s(literal -1 binary64) (/.f64 b a)))) a) (PI.f64))) a)) (*.f64 a a))
(/ (* (pow a 2) b) (PI))
(/.f64 (*.f64 a (*.f64 a b)) (PI.f64))
(* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI))))
(*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))
(* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI))))
(*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))
(* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI))))
(*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))
(/ (* a (pow b 2)) (PI))
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(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(/ a (PI))
(/.f64 a (PI.f64))
(/ a (PI))
(/.f64 a (PI.f64))
(/ a (PI))
(/.f64 a (PI.f64))
(/ a (PI))
(/.f64 a (PI.f64))
(/ a (PI))
(/.f64 a (PI.f64))
(/ a (PI))
(/.f64 a (PI.f64))
(/ a (PI))
(/.f64 a (PI.f64))
(/ a (PI))
(/.f64 a (PI.f64))
(/ a (PI))
(/.f64 a (PI.f64))
(/ a (PI))
(/.f64 a (PI.f64))
(/ a (PI))
(/.f64 a (PI.f64))
(/ a (PI))
(/.f64 a (PI.f64))

eval245.0ms (1.7%)

Memory
11.1MiB live, 604.2MiB allocated
Compiler

Compiled 30 762 to 4 290 computations (86.1% saved)

prune588.0ms (4%)

Memory
-28.4MiB live, 534.7MiB allocated
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New2 026102 036
Fresh11314
Picked325
Done303
Total2 043152 058
Accuracy
100.0%
Counts
2 058 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.3%
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))
52.1%
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64)))
57.3%
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a)
57.3%
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a)
57.2%
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
57.2%
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
67.2%
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a)))
94.4%
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))))
61.1%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b))
67.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b))
56.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64)))
94.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b))))
92.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b))))
52.1%
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b))
57.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
Compiler

Compiled 895 to 307 computations (65.7% saved)

regimes66.0ms (0.5%)

Memory
16.5MiB live, 96.6MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a)
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64)))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a)
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a b) (-.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (*.f64 b b))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) b) b)
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b)) (/.f64 b (PI.f64)))
(/.f64 (*.f64 (-.f64 b a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (*.f64 (*.f64 a b) b))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (-.f64 b a))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) a) b) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) #s(literal -1 binary64)))
Outputs
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
Calls

3 calls:

32.0ms
a
15.0ms
b
15.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
99.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes52.0ms (0.4%)

Memory
4.0MiB live, 43.2MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a)
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64)))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a)
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a b) (-.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (*.f64 b b))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) b) b)
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 a b) (PI.f64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b)) (/.f64 b (PI.f64)))
(/.f64 (*.f64 (-.f64 b a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (*.f64 (*.f64 a b) b))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
Outputs
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))))
Calls

2 calls:

36.0ms
b
13.0ms
a
Results
AccuracySegmentsBranch
99.7%2a
99.0%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.1%)

Memory
-22.5MiB live, 15.5MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a)
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64)))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a)
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a b) (-.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b)
Outputs
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b))))
Calls

1 calls:

17.0ms
a
Results
AccuracySegmentsBranch
99.4%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a)
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64)))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a)
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a))
Outputs
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b))))
Calls

1 calls:

9.0ms
a
Results
AccuracySegmentsBranch
99.4%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a)
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64)))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a)
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b))))
Outputs
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b))))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))
Calls

2 calls:

8.0ms
a
8.0ms
b
Results
AccuracySegmentsBranch
99.0%2b
97.9%2a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes46.0ms (0.3%)

Memory
-11.3MiB live, 27.0MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a)
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64)))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a)
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
Outputs
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a)))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))
Calls

2 calls:

8.0ms
a
7.0ms
b
Results
AccuracySegmentsBranch
93.9%2a
90.4%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.1%)

Memory
-8.6MiB live, 32.3MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a)
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64)))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b) a)
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64)))
Calls

2 calls:

10.0ms
a
7.0ms
b
Results
AccuracySegmentsBranch
90.4%2b
89.3%2a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Memory
18.0MiB live, 18.0MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 a b)) (PI.f64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b b))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a)
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 b (PI.f64)))
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
90.3%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
-27.2MiB live, 10.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
Calls

2 calls:

3.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
57.3%1a
57.3%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
9.0MiB live, 9.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
b
1.0ms
a
Results
AccuracySegmentsBranch
57.2%1a
57.2%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch17.0ms (0.1%)

Memory
-0.8MiB live, 37.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-3.2074175672754444e+158
-8.4812368288638e+156
Samples
11.0ms112×0valid
Compiler

Compiled 250 to 181 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (47.7% of total)
ival-mult: 3.0ms (35.8% of total)
ival-sub: 1.0ms (11.9% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Memory
-0.8MiB live, 37.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-3.2074175672754444e+158
-8.4812368288638e+156
Samples
11.0ms112×0valid
Compiler

Compiled 236 to 174 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (47.7% of total)
ival-mult: 3.0ms (35.8% of total)
ival-sub: 1.0ms (11.9% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory
2.4MiB live, 52.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-1.6775541241614269e+100
-1.3688118731153214e+88
Samples
19.0ms160×0valid
Compiler

Compiled 286 to 210 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 9.0ms (59.6% of total)
ival-mult: 4.0ms (26.5% of total)
ival-pi: 1.0ms (6.6% of total)
ival-sub: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Memory
-13.5MiB live, 19.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
6.126212223676233e+79
1.0687746291184677e+80
Samples
9.0ms64×0valid
Compiler

Compiled 130 to 96 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (50.5% of total)
ival-sub: 1.0ms (25.3% of total)
ival-mult: 1.0ms (25.3% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.1%)

Memory
10.7MiB live, 49.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-2.1349580570851624e-71
-1.741230133669604e-80
Samples
13.0ms144×0valid
Compiler

Compiled 260 to 191 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (42.2% of total)
ival-mult: 3.0ms (31.6% of total)
ival-pi: 1.0ms (10.5% of total)
ival-sub: 1.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Memory
1.2MiB live, 40.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
1.1200689624415138e-18
2.257773816556388e-16
Samples
11.0ms112×0valid
Compiler

Compiled 194 to 146 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (49.5% of total)
ival-mult: 3.0ms (37.1% of total)
ival-sub: 1.0ms (12.4% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Memory
-2.9MiB live, 40.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
1.1200689624415138e-18
2.257773816556388e-16
Samples
10.0ms112×0valid
Compiler

Compiled 194 to 146 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (41% of total)
ival-mult: 3.0ms (41% of total)
ival-sub: 1.0ms (13.7% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify45.0ms (0.3%)

Memory
14.9MiB live, 54.3MiB allocated
Algorithm
egg-herbie
Rules
384×distribute-lft-neg-in_binary64
252×neg-mul-1_binary64
220×cancel-sign-sub_binary64
214×neg-sub0_binary64
156×sub-neg_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
064207
185207
2104207
3120207
4134207
5146205
6165205
7210205
8311205
9528205
10809205
111032205
121171205
131223205
141235205
151237205
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(if (<=.f64 a #s(literal -8499999999999999477480210813634489141439283747662378251917643010881370359896673165498550867643308880043464204309414132352982384553316980317467619484650962944 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64))))))
(if (<=.f64 a #s(literal -8499999999999999477480210813634489141439283747662378251917643010881370359896673165498550867643308880043464204309414132352982384553316980317467619484650962944 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b)))))
(if (<=.f64 a #s(literal -12500000000000000252735989089449337357201204040179471764222210702600050062477053866983722844160 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b)))))
(if (<=.f64 b #s(literal 105000000000000000686142180872268057226260194263201051546132922579596192201572352 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -733332951480415/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a))) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))))
(if (<=.f64 b #s(literal 6490371073168535/40564819207303340847894502572032 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))))
(if (<=.f64 b #s(literal 1979563177316403/162259276829213363391578010288128 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))
Outputs
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(if (<=.f64 a #s(literal -8499999999999999477480210813634489141439283747662378251917643010881370359896673165498550867643308880043464204309414132352982384553316980317467619484650962944 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64))))))
(if (<=.f64 a #s(literal -8499999999999999477480210813634489141439283747662378251917643010881370359896673165498550867643308880043464204309414132352982384553316980317467619484650962944 binary64)) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) (-.f64 a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64))))))
(if (<=.f64 a #s(literal -8499999999999999477480210813634489141439283747662378251917643010881370359896673165498550867643308880043464204309414132352982384553316980317467619484650962944 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b)))))
(if (<=.f64 a #s(literal -8499999999999999477480210813634489141439283747662378251917643010881370359896673165498550867643308880043464204309414132352982384553316980317467619484650962944 binary64)) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) (-.f64 a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b)))))
(if (<=.f64 a #s(literal -12500000000000000252735989089449337357201204040179471764222210702600050062477053866983722844160 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 a (PI.f64)) (+.f64 a b)))))
(if (<=.f64 b #s(literal 105000000000000000686142180872268057226260194263201051546132922579596192201572352 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -733332951480415/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) (-.f64 b a))) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))))
(if (<=.f64 b #s(literal 6490371073168535/40564819207303340847894502572032 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b #s(literal 1/2 binary64))))
(if (<=.f64 b #s(literal 1979563177316403/162259276829213363391578010288128 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 a b)))

soundness4.2s (28.5%)

Memory
-41.4MiB live, 5 183.4MiB allocated
Rules
17 096×accelerator-lowering-fma.f32
17 096×accelerator-lowering-fma.f64
12 726×accelerator-lowering-fma.f32
12 726×accelerator-lowering-fma.f64
10 624×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01813037
14992984
213522881
338822860
082422835
026139
1185133
21669133
08389133
032156
1251154
22788154
08176154
03032686
17982643
223472553
364832553
081952428
032141
1220139
22101139
08532139
06234717
120854148
279894116
084573988
05035678
115484972
253903958
089373833
02091
115987
2173487
0842587
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 673 to 397 computations (41% saved)

preprocess55.0ms (0.4%)

Memory
28.3MiB live, 147.4MiB allocated
Remove

(sort a b)

Compiler

Compiled 536 to 204 computations (61.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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