NMSE Section 6.1 mentioned, B

Time bar (total: 11.2s)

analyze141.0ms (1.3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%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 24 to 16 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-mult: 44.0ms (50.1% of total)
ival-div: 27.0ms (30.7% of total)
ival-sub: 10.0ms (11.4% of total)
ival-pi: 4.0ms (4.6% of total)
const: 2.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

sample1.5s (13.7%)

Results
1.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 968.0ms
ival-sub: 352.0ms (36.4% of total)
ival-div: 288.0ms (29.8% of total)
ival-mult: 269.0ms (27.8% of total)
ival-pi: 38.0ms (3.9% of total)
const: 18.0ms (1.9% of total)
backward-pass: 4.0ms (0.4% of total)
Bogosity

preprocess260.0ms (2.3%)

Algorithm
2×egg-herbie
Rules
3816×*-lowering-*.f32
3816×*-lowering-*.f64
1474×sum3-define
1388×div-sub
1178×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038100
115590
251890
3254290
4673590
01516
14215
210515
340415
4165815
5496315
0847615
Stop Event
1×iter limit
1×node limit
1×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 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b 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) (/ (- (recip a) (recip b)) (- (square b) (square a))))
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b)))
(* (+ (recip a) (recip b)) (/ (* (PI) 1/2) (- (square a) (square b))))
(* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b))))
(* (/ (* (PI) 1/2) (- (square b) (square a))) (+ (recip a) (recip b)))
(neg (* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b))))
(* (/ (* (PI) 1/2) (- (square b) (square a))) (+ (recip a) (recip b)))
(neg (* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b)))))
(* (+ (recip a) (recip b)) (/ (* (PI) 1/2) (- (square a) (square b))))
(* (* (/ (PI) 2) (/ 1 (- (* a a) (* b b)))) (- (/ 1 b) (/ 1 a)))
(* (* (PI) 1/2) (/ (- (recip a) (recip b)) (- (square b) (square a))))
Symmetry

(sort a b)

explain189.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
420-5(-8.71128022838576e-94 3.1809736661297446e+159)(*.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))
80-0-(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
00-0-(PI.f64)
00-0-b
00-0-(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
00-0-(/.f64 #s(literal 1 binary64) a)
00-0-(/.f64 #s(literal 1 binary64) b)
00-0-#s(literal 2 binary64)
00-0-(*.f64 b b)
00-0-#s(literal 1 binary64)
00-0-(/.f64 (PI.f64) #s(literal 2 binary64))
00-0-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)
Results
135.0ms512×0valid
Compiler

Compiled 183 to 47 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 48.0ms (62.7% of total)
ival-div: 20.0ms (26.1% of total)
ival-sub: 5.0ms (6.5% of total)
ival-pi: 2.0ms (2.6% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 19 to 12 computations (36.8% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶85.2%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
▶76.6%
(*.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)))
Compiler

Compiled 42 to 27 computations (35.7% saved)

simplify172.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(PI.f64)
✓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 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b 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-diff256
(*.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
3368×*-lowering-*.f32
3368×*-lowering-*.f64
1992×+-lowering-+.f64
1992×+-lowering-+.f32
1276×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023111
161106
2188106
3710106
42868106
08383106
Stop Event
1×iter limit
1×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)) (* (+ b a) (* 2 (- b a))))
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
a
(/ (PI) b)
b
(* (+ b a) (* 2 (- b a)))
(+ b a)
(* 2 (- b a))
2
(- b a)
Outputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b b) (*.f64 a a)))
(* (/ (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)) (* (+ b a) (* 2 (- b a))))
(/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b b) (*.f64 a a)))
(- (/ (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) (* 2 (- b a)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
(+ b a)
(+.f64 b a)
(* 2 (- b a))
(*.f64 #s(literal 2 binary64) (-.f64 b a))
2
#s(literal 2 binary64)
(- b a)
(-.f64 b a)

localize115.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy85.2%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
✓accuracy99.8%
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
✓accuracy94.8%
(-.f64 (*.f64 b b) (*.f64 a a))
✓accuracy86.8%
(*.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
74.0ms256×0valid
Compiler

Compiled 134 to 24 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 18.0ms (37.7% of total)
ival-mult: 17.0ms (35.6% of total)
ival-sub: 10.0ms (21% of total)
ival-pi: 1.0ms (2.1% of total)
ival-add: 1.0ms (2.1% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series25.0ms (0.2%)

Counts
10 → 168
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)) (* (+ b a) (* 2 (- b a))))>
#<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 (- (* -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)>
#<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

42 calls:

TimeVariablePointExpression
3.0ms
b
@0
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
2.0ms
b
@0
(/ (- (/ (PI) a) (/ (PI) b)) (* (+ b a) (* 2 (- b a))))
1.0ms
a
@0
(/ (- (/ (PI) a) (/ (PI) b)) (* (+ b a) (* 2 (- b a))))
1.0ms
a
@inf
(/ 1 (- (* b b) (* a a)))
1.0ms
a
@inf
(/ (- (/ (PI) a) (/ (PI) b)) (* (+ b a) (* 2 (- b a))))

rewrite399.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
4860×*-lowering-*.f32
4860×*-lowering-*.f64
2960×/-lowering-/.f32
2960×/-lowering-/.f64
1848×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02367
119067
2208267
0886167
Stop Event
1×iter limit
1×node limit
Counts
10 → 779
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)) (* (+ b a) (* 2 (- b a))))
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(- (* b b) (* a a))
(/ 1 (- (* b b) (* a a)))
(/ (PI) b)
Outputs
(+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))))
(+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 (PI.f64) (*.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 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))))
(+.f64 (fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (PI.f64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (PI.f64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (PI.f64))))
(+.f64 (fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (PI.f64) b)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (/.f64 (PI.f64) b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (PI.f64) b))))
(+.f64 (fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (/.f64 (PI.f64) (+.f64 b a))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a)))) (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (/.f64 (PI.f64) (+.f64 b a)))))
(+.f64 (fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))))
(+.f64 (fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))))))
(+.f64 (fma.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (PI.f64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (PI.f64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (PI.f64))))
(+.f64 (fma.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (PI.f64) b)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (/.f64 (PI.f64) b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (PI.f64) b))))
(+.f64 (fma.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (/.f64 (PI.f64) (+.f64 b a))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a)))) (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (/.f64 (PI.f64) (+.f64 b a)))))
(+.f64 (fma.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))))
(+.f64 (fma.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))))))
(+.f64 (fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (PI.f64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (PI.f64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (PI.f64))))
(+.f64 (fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (PI.f64) b)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (/.f64 (PI.f64) b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (PI.f64) b))))
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(fma.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 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)))
(fma.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 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.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)))))))
(/.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 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64))
(/.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 (*.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 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a 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 (*.f64 b b) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.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 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 (-.f64 b a) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a)))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a))))) (+.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a))))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)))) (-.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 b a))
(/.f64 (*.f64 (+.f64 b a) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) (-.f64 b a))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (-.f64 b a)) (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))
(/.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 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.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 (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (*.f64 b b) (*.f64 a a))))
(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 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))))
(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 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))
(pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 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 (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 (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 #s(literal 0 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 (/.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 (*.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)))
(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 (/.f64 b (PI.f64))))
(/.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)))
(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))

simplify247.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
3722×*-lowering-*.f32
3722×*-lowering-*.f64
2006×fnmadd-define
1966×+-lowering-+.f64
1966×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04743081
115332539
262312458
080652458
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
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 (- (* -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))
(/ (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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a a)) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b)) 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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a a)) (*.f64 b (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 a a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 4 binary64)))))) 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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a a)) (*.f64 b (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 a a)) (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (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) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) 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 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 a (/.f64 (PI.f64) b)) 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 a (/.f64 (PI.f64) b)) b))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) (*.f64 a 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) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) 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 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) 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 #s(literal 1/2 binary64) (*.f64 (PI.f64) a))) 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 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) 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) (/.f64 (PI.f64) b)) b) (*.f64 a (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 b b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)) (pow.f64 b #s(literal 4 binary64)))))) 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) (/.f64 (PI.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 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) 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 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) b) (*.f64 a a))))) (*.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 (*.f64 (PI.f64) b) (*.f64 a a)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.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) (PI.f64)) (*.f64 (*.f64 a a) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) 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 #s(literal -1/2 binary64) (*.f64 (PI.f64) b)) 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 #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 (PI.f64) (/.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)))
(/.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)) (pow.f64 a #s(literal 4 binary64)))))
(+ (* -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 (/.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) (pow.f64 a #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 b (/.f64 b (pow.f64 a #s(literal 6 binary64)))))))))
(+ (* -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 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (+.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) (/.f64 (PI.f64) b)) b)
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b) b))) 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))
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(/ (+ (* -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))
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(/ (+ (* -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 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) (*.f64 (PI.f64) a)) (*.f64 b b)) (/.f64 (-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64))) (*.f64 (*.f64 a a) (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) 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 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) 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 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) (/.f64 (+.f64 (*.f64 (PI.f64) a) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64))) b))) 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) (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) (*.f64 (*.f64 a a) (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))))))) b) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)))) b)) b)) (*.f64 b b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/.f64 (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b))) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/.f64 (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b))) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/.f64 (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b))) a)
(* -1 (/ (PI) b))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(* -1 (/ (PI) b))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(* -1 (/ (PI) b))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b))
(/ (- (/ (* b (PI)) a) (PI)) b)
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64)) b)
(/ (- (/ (* b (PI)) a) (PI)) b)
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64)) b)
(/ (- (/ (* b (PI)) a) (PI)) b)
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64)) b)
(/ (PI) a)
(/.f64 (PI.f64) a)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(* -1 (pow a 2))
(-.f64 #s(literal 0 binary64) (*.f64 a a))
(- (pow b 2) (pow a 2))
(-.f64 (*.f64 b b) (*.f64 a a))
(- (pow b 2) (pow a 2))
(-.f64 (*.f64 b b) (*.f64 a a))
(- (pow b 2) (pow a 2))
(-.f64 (*.f64 b b) (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(+ (* -1 (pow a 2)) (pow b 2))
(-.f64 (*.f64 b b) (*.f64 a a))
(+ (* -1 (pow a 2)) (pow b 2))
(-.f64 (*.f64 b b) (*.f64 a a))
(+ (* -1 (pow a 2)) (pow b 2))
(-.f64 (*.f64 b b) (*.f64 a a))
(* -1 (pow a 2))
(-.f64 #s(literal 0 binary64) (*.f64 a a))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)))
(* -1 (pow a 2))
(-.f64 #s(literal 0 binary64) (*.f64 a a))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(+.f64 (/.f64 (*.f64 b b) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+.f64 (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (/.f64 b (pow.f64 a #s(literal 6 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(- (* (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)))
(+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) (pow.f64 a #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(/ 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 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.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 (-.f64 #s(literal 0 binary64) (*.f64 a a)) b) b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.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 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.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 (-.f64 #s(literal 0 binary64) (*.f64 a a)) b) b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.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 b b)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 4 binary64)))))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 a (/.f64 a (pow.f64 b #s(literal 6 binary64)))))))
(+ (* (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 #s(literal 1 binary64) (*.f64 b b)) (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.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))))))))
(/ -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 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) 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 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 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 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) 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 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 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)

eval151.0ms (1.3%)

Compiler

Compiled 34775 to 2958 computations (91.5% saved)

prune138.0ms (1.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New1013181031
Fresh000
Picked202
Done000
Total1015181033
Accuracy
100.0%
Counts
1033 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.0%
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (neg.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))))
▶99.7%
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
56.7%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
65.2%
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
▶85.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (PI.f64))) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
49.1%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) (*.f64 a a))
76.6%
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
69.8%
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 b a)))
▶57.2%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a))))
85.5%
(+.f64 (fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))))))
▶49.3%
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
▶99.6%
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
49.7%
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal -1 binary64)))
76.6%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
86.7%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
48.4%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 788 to 480 computations (39.1% saved)

simplify207.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 a (PI.f64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 a (PI.f64)))
✓cost-diff128
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (PI.f64))) (/.f64 (PI.f64) b))
✓cost-diff128
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (PI.f64))) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b 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-diff128
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
✓cost-diff128
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
✓cost-diff0
(*.f64 (PI.f64) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)
✓cost-diff0
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a)
✓cost-diff128
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓cost-diff0
(*.f64 (*.f64 a a) 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)) (*.f64 (*.f64 a a) 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 #s(literal 2 binary64) (-.f64 b a)))
✓cost-diff0
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
Rules
4430×*-lowering-*.f32
4430×*-lowering-*.f64
2516×+-lowering-+.f64
2516×+-lowering-+.f32
1508×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034239
192239
2296239
3961239
43205239
08139239
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a))) (+ b a))
(/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a)))
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
a
(/ (PI) b)
b
(* 2 (- b a))
2
(- b a)
(+ b a)
(/ (* 1/2 (PI)) (* (* a a) b))
(* 1/2 (PI))
1/2
(PI)
(* (* a a) b)
(* a a)
a
b
(* (/ (/ (* (PI) -1/2) a) a) (- (/ 1 a) (/ 1 b)))
(/ (/ (* (PI) -1/2) a) a)
(/ (* (PI) -1/2) a)
(* (PI) -1/2)
(PI)
-1/2
a
(- (/ 1 a) (/ 1 b))
(/ 1 a)
1
(/ 1 b)
b
(* (/ (- (/ (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))
2
(- b a)
(/ (- (/ 1 (/ a (PI))) (/ (PI) b)) (* (+ b a) (* 2 (- b a))))
(- (/ 1 (/ a (PI))) (/ (PI) b))
(/ 1 (/ a (PI)))
1
(/ a (PI))
a
(PI)
(/ (PI) b)
b
(* (+ b a) (* 2 (- b a)))
(+ b a)
(* 2 (- b a))
2
(- b a)
Outputs
(/ (/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a))) (+ b a))
(/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 (-.f64 b a) (+.f64 a b)))
(/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a)))
(/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (-.f64 b a))
(- (/ (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 (- b a))
(*.f64 #s(literal 2 binary64) (-.f64 b a))
2
#s(literal 2 binary64)
(- b a)
(-.f64 b a)
(+ b a)
(+.f64 a b)
(/ (* 1/2 (PI)) (* (* a a) b))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) b) a)
(* 1/2 (PI))
(/.f64 (PI.f64) #s(literal 2 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
(* (* a a) b)
(*.f64 a (*.f64 a b))
(* a a)
(*.f64 a a)
a
b
(* (/ (/ (* (PI) -1/2) a) a) (- (/ 1 a) (/ 1 b)))
(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) a) a)
(/ (/ (* (PI) -1/2) a) a)
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (PI.f64))) a)
(/ (* (PI) -1/2) a)
(/.f64 #s(literal -1/2 binary64) (/.f64 a (PI.f64)))
(* (PI) -1/2)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)
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
#s(literal 1 binary64)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
b
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1 (* 2 (- b a))))
(/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 (-.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
#s(literal 1 binary64)
(* 2 (- b a))
(*.f64 #s(literal 2 binary64) (-.f64 b a))
2
#s(literal 2 binary64)
(- b a)
(-.f64 b a)
(/ (- (/ 1 (/ a (PI))) (/ (PI) b)) (* (+ b a) (* 2 (- b a))))
(/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 (-.f64 b a) (+.f64 a b)))
(- (/ 1 (/ a (PI))) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ 1 (/ a (PI)))
(/.f64 (PI.f64) a)
1
#s(literal 1 binary64)
(/ a (PI))
(/.f64 a (PI.f64))
a
(PI)
(PI.f64)
(/ (PI) b)
(/.f64 (PI.f64) b)
b
(* (+ b a) (* 2 (- b a)))
(*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(+ b a)
(+.f64 a b)
(* 2 (- b a))
(*.f64 #s(literal 2 binary64) (-.f64 b a))
2
#s(literal 2 binary64)
(- b a)
(-.f64 b a)

localize211.0ms (1.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 a (PI.f64))
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 a (PI.f64)))
✓accuracy85.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (PI.f64))) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
✓accuracy99.7%
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
✓accuracy99.7%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a))
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓accuracy99.8%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a)
✓accuracy99.6%
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)
✓accuracy92.1%
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) 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)) (*.f64 (*.f64 a a) b))
✓accuracy86.0%
(*.f64 (*.f64 a a) b)
✓accuracy99.8%
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
✓accuracy99.7%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy99.6%
(/.f64 (PI.f64) b)
Results
138.0ms256×0valid
Compiler

Compiled 263 to 35 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 37.0ms (49% of total)
ival-div: 29.0ms (38.4% of total)
ival-sub: 5.0ms (6.6% of total)
ival-pi: 1.0ms (1.3% of total)
ival-add: 1.0ms (1.3% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series35.0ms (0.3%)

Counts
21 → 360
Calls
Call 1
Inputs
#<alt (/ (/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a))) (+ b a))>
#<alt (/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a)))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (/ (PI) a)>
#<alt (/ (* 1/2 (PI)) (* (* a a) b))>
#<alt (* 1/2 (PI))>
#<alt (PI)>
#<alt (* (* a a) b)>
#<alt (* (/ (/ (* (PI) -1/2) a) a) (- (/ 1 a) (/ 1 b)))>
#<alt (/ (/ (* (PI) -1/2) a) a)>
#<alt (/ (* (PI) -1/2) a)>
#<alt (* (PI) -1/2)>
#<alt (* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1 (* 2 (- b a))))>
#<alt (/ 1 (* 2 (- b a)))>
#<alt (/ (- (/ (PI) a) (/ (PI) b)) (+ b a))>
#<alt (/ (- (/ 1 (/ a (PI))) (/ (PI) b)) (* (+ b a) (* 2 (- b a))))>
#<alt (- (/ 1 (/ a (PI))) (/ (PI) b))>
#<alt (/ 1 (/ a (PI)))>
#<alt (/ a (PI))>
#<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 (* 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)))>
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#<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)>
#<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 (/ 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))>
#<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

90 calls:

TimeVariablePointExpression
8.0ms
a
@0
(/ (* 1/2 (PI)) (* (* a a) b))
3.0ms
b
@0
(- (/ 1 a) (/ 1 b))
1.0ms
b
@0
(/ (* 1/2 (PI)) (* (* a a) b))
1.0ms
b
@0
(/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a)))
1.0ms
a
@inf
(/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a)))

rewrite494.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
3536×/-lowering-/.f32
3536×/-lowering-/.f64
2928×*-lowering-*.f32
2928×*-lowering-*.f64
1816×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034153
1252147
22748138
08458138
Stop Event
1×iter limit
1×node limit
Counts
21 → 1770
Calls
Call 1
Inputs
(/ (/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a))) (+ b a))
(/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a)))
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(/ (* 1/2 (PI)) (* (* a a) b))
(* 1/2 (PI))
(PI)
(* (* a a) b)
(* (/ (/ (* (PI) -1/2) a) a) (- (/ 1 a) (/ 1 b)))
(/ (/ (* (PI) -1/2) a) a)
(/ (* (PI) -1/2) a)
(* (PI) -1/2)
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1 (* 2 (- b a))))
(/ 1 (* 2 (- b a)))
(/ (- (/ (PI) a) (/ (PI) b)) (+ b a))
(/ (- (/ 1 (/ a (PI))) (/ (PI) b)) (* (+ b a) (* 2 (- b a))))
(- (/ 1 (/ a (PI))) (/ (PI) b))
(/ 1 (/ a (PI)))
(/ a (PI))
(/ (PI) b)
(- (/ 1 a) (/ 1 b))
Outputs
(+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (neg.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b))))))
(+.f64 (fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (PI.f64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (PI.f64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (PI.f64))))
(+.f64 (fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b)) (/.f64 (PI.f64) b)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b))) (/.f64 (PI.f64) b) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b)) (/.f64 (PI.f64) b))))
(+.f64 (fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 a b)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 a b))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 a b)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))))
(+.f64 (fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (/.f64 (PI.f64) (+.f64 a b))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a)))) (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (/.f64 (PI.f64) (+.f64 a b)))))
(+.f64 (fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))))))
(+.f64 (fma.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (PI.f64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (PI.f64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (PI.f64))))
(+.f64 (fma.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b)) (/.f64 (PI.f64) b)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b))) (/.f64 (PI.f64) b) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b)) (/.f64 (PI.f64) b))))
(+.f64 (fma.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 a b)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 a b))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 a b)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))))
(+.f64 (fma.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (/.f64 (PI.f64) (+.f64 a b))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a)))) (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (/.f64 (PI.f64) (+.f64 a b)))))
(+.f64 (fma.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (PI.f64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (PI.f64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (PI.f64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b)) (/.f64 (PI.f64) b)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b))) (/.f64 (PI.f64) b) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b)) (/.f64 (PI.f64) b))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 a b)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 a b))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 a b)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (/.f64 (PI.f64) (+.f64 a b))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a)))) (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (/.f64 (PI.f64) (+.f64 a b)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))))))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
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(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 (+.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) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b)))
(fma.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))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64)) (/.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 (/.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 #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 b a)) (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 (/.f64 (-.f64 b a) a) b)
(/.f64 (neg.f64 (neg.f64 (-.f64 b a))) (neg.f64 (neg.f64 (*.f64 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))
(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 (/.f64 #s(literal 1 binary64) 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))))

simplify314.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
3542×*-lowering-*.f32
3542×*-lowering-*.f64
2072×+-lowering-+.f64
2072×+-lowering-+.f32
1804×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05055943
117294815
264814778
081154778
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
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))
(* 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)))
(/ (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)
(* 1/2 (/ (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)))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* 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))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 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))) (pow a 2))
(/ (+ (* -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 (/ (* b (PI)) (pow a 3))) (* 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 3)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* -1/2 (/ (PI) (pow a 3)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 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) (* 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))
(/ -1/2 a)
(- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(- (* b (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(- (* b (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(/ 1/2 b)
(/ (+ 1/2 (* 1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* -1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ a b)) (* -1/2 (/ (pow a 2) (pow b 2))))) b)
(/ 1/2 b)
(* -1 (/ (- (* -1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* -1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* -1/2 a)) b)) 1/2) b))
(/ 1/2 b)
(+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(/ -1/2 a)
(/ (- (* -1/2 (/ b a)) 1/2) a)
(/ (- (* -1/2 (/ (pow b 2) (pow a 2))) (+ 1/2 (* 1/2 (/ b a)))) a)
(/ (- (* -1/2 (/ (pow b 3) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ b a)) (* 1/2 (/ (pow b 2) (pow a 2)))))) a)
(/ -1/2 a)
(* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a))) a))
(/ (PI) (* a b))
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) 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)
(/ (+ (* 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)
(* -1 (/ (PI) (* a b)))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) 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)
(* -1 (/ (PI) (* a b)))
(* -1 (/ (+ (* -1 (/ (- (PI) (* -1 (PI))) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (* b (- (PI) (* -1 (PI)))) a))) (* -1 (PI))) a)) (/ (PI) b)) 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))
(* -1 (/ (PI) (* a b)))
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) 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)
(/ (+ (* -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)
(/ (PI) (* a b))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)
(/ (PI) (* a b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(* -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))
(* 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))
(/ (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)
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ (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 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 b b))
(/ (+ (* 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 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.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)
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(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #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 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) (*.f64 (PI.f64) a)) (*.f64 b b)) (/.f64 (-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64))) (*.f64 (*.f64 a a) (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))))) (*.f64 b (*.f64 b b)))))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 b b))
(/ (+ (* 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 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) 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 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) (/.f64 (+.f64 (*.f64 (PI.f64) a) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64))) b))) 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 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64))) (*.f64 (*.f64 a a) (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))))) b)) (+.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)))) b)) b)) (*.f64 b b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) a) b)) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) a) b)) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) a) b)) a)
(* -1 (/ (PI) b))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(* -1 (/ (PI) b))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(* -1 (/ (PI) b))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b))
(/ (- (/ (* b (PI)) a) (PI)) b)
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64)) b)
(/ (- (/ (* b (PI)) a) (PI)) b)
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64)) b)
(/ (- (/ (* b (PI)) a) (PI)) b)
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64)) b)
(/ (PI) a)
(/.f64 (PI.f64) a)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ 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))
(/ (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))

eval402.0ms (3.6%)

Compiler

Compiled 81724 to 5711 computations (93% saved)

prune315.0ms (2.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New2753172770
Fresh12113
Picked505
Done000
Total2770182788
Accuracy
100.0%
Counts
2788 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64))) (PI.f64))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64))) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
71.7%
(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
99.6%
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (PI.f64))) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
57.0%
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))) a)
65.1%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
56.7%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
▶99.6%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (+.f64 b a))
99.6%
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
▶55.4%
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 b b))
64.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) a))
▶98.5%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (/.f64 b (/.f64 (PI.f64) a))))
57.2%
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
▶86.7%
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
99.6%
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
68.8%
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
57.2%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (PI.f64) a))))
▶65.1%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
Compiler

Compiled 564 to 384 computations (31.9% saved)

simplify160.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 b a)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b))
✓cost-diff0
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
✓cost-diff0
(+.f64 a b)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (+.f64 a b))
✓cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (/.f64 b (/.f64 (PI.f64) a)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (/.f64 b (/.f64 (PI.f64) a))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) a)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 b b))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) (*.f64 a b))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
✓cost-diff0
(/.f64 (PI.f64) b)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a)
✓cost-diff0
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (+.f64 b a))
Rules
3050×*-lowering-*.f32
3050×*-lowering-*.f64
1900×sum5-define
1852×sum4-define
1538×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029176
183176
2232176
3640175
41528175
54302175
08492175
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (* 1/2 (/ (PI) b)) a) (+ b a))
(/ (* 1/2 (/ (PI) b)) a)
(* 1/2 (/ (PI) b))
1/2
(/ (PI) b)
(PI)
b
a
(+ b a)
(* (/ 1/2 a) (/ (PI) (* a b)))
(/ 1/2 a)
1/2
a
(/ (PI) (* a b))
(PI)
(* a b)
b
(/ (* 1/2 (/ (PI) a)) (* b b))
(* 1/2 (/ (PI) a))
1/2
(/ (PI) a)
(PI)
a
(* b b)
b
(/ 1 (* (* 2 (+ a b)) (/ b (/ (PI) a))))
1
(* (* 2 (+ a b)) (/ b (/ (PI) a)))
(* 2 (+ a b))
2
(+ a b)
a
b
(/ b (/ (PI) a))
(/ (PI) a)
(PI)
(* (/ (/ 1/2 (- b a)) (+ a b)) (- (/ (PI) a) (/ (PI) b)))
(/ (/ 1/2 (- b a)) (+ a b))
(/ 1/2 (- b a))
1/2
(- b a)
b
a
(+ a b)
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
(/ (PI) b)
Outputs
(/ (/ (* 1/2 (/ (PI) b)) a) (+ b a))
(/.f64 (PI.f64) (*.f64 b (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a)))))
(/ (* 1/2 (/ (PI) b)) a)
(/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a)))
(* 1/2 (/ (PI) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64)))
1/2
#s(literal 1/2 binary64)
(/ (PI) b)
(/.f64 (PI.f64) b)
(PI)
(PI.f64)
b
a
(+ b a)
(+.f64 b a)
(* (/ 1/2 a) (/ (PI) (* a b)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 b a))
(PI)
(PI.f64)
(* a b)
(*.f64 b a)
b
(/ (* 1/2 (/ (PI) a)) (* b b))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 b (/.f64 (PI.f64) a))))
(* 1/2 (/ (PI) a))
(/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(* b b)
(*.f64 b b)
b
(/ 1 (* (* 2 (+ a b)) (/ b (/ (PI) a))))
(/.f64 (PI.f64) (*.f64 b (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a)))))
1
#s(literal 1 binary64)
(* (* 2 (+ a b)) (/ b (/ (PI) a)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 (PI.f64) a))
(* 2 (+ a b))
(*.f64 #s(literal 2 binary64) (+.f64 b a))
2
#s(literal 2 binary64)
(+ a b)
(+.f64 b a)
a
b
(/ b (/ (PI) a))
(/.f64 b (/.f64 (PI.f64) a))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
(* (/ (/ 1/2 (- b a)) (+ a b)) (- (/ (PI) a) (/ (PI) b)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (+.f64 b a))
(/ (/ 1/2 (- b a)) (+ a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a))
(/ 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)
b
a
(+ a b)
(+.f64 b a)
(- (/ (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)

localize147.0ms (1.3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b))
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy86.7%
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (/.f64 b (/.f64 (PI.f64) a)))
✓accuracy99.7%
(/.f64 b (/.f64 (PI.f64) a))
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (/.f64 b (/.f64 (PI.f64) a))))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy88.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 b b))
✓accuracy100.0%
(*.f64 a b)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
✓accuracy99.1%
(/.f64 (PI.f64) (*.f64 a b))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (+.f64 b a))
✓accuracy99.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a)
✓accuracy99.6%
(/.f64 (PI.f64) b)
Results
107.0ms256×0valid
Compiler

Compiled 183 to 30 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 33.0ms (52.8% of total)
ival-div: 20.0ms (32% of total)
ival-sub: 5.0ms (8% of total)
ival-add: 3.0ms (4.8% of total)
ival-pi: 1.0ms (1.6% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series124.0ms (1.1%)

Counts
21 → 420
Calls
Call 1
Inputs
#<alt (/ (/ (* 1/2 (/ (PI) b)) a) (+ b a))>
#<alt (/ (* 1/2 (/ (PI) b)) a)>
#<alt (* 1/2 (/ (PI) b))>
#<alt (/ (PI) b)>
#<alt (* (/ 1/2 a) (/ (PI) (* a b)))>
#<alt (/ 1/2 a)>
#<alt (/ (PI) (* a b))>
#<alt (PI)>
#<alt (/ (* 1/2 (/ (PI) a)) (* b b))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ (PI) a)>
#<alt (/ 1 (* (* 2 (+ a b)) (/ b (/ (PI) a))))>
#<alt (* (* 2 (+ a b)) (/ b (/ (PI) a)))>
#<alt (* 2 (+ a b))>
#<alt (+ a b)>
#<alt (* (/ (/ 1/2 (- b a)) (+ a b)) (- (/ (PI) a) (/ (PI) b)))>
#<alt (/ (/ 1/2 (- b a)) (+ a b))>
#<alt (/ 1/2 (- b a))>
#<alt (- b a)>
#<alt (* a b)>
#<alt (/ b (/ (PI) a))>
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) (* 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 (/ (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 (* 1/2 (/ (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 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 (/ (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 (* 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 (/ (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 (/ (* 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 (* 2 (/ (* a (pow b 2)) (PI)))>
#<alt (* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))>
#<alt (* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))>
#<alt (* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))>
#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))>
#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))>
#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))>
#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))>
#<alt (* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))>
#<alt (* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))>
#<alt (* 2 (/ (* a (pow b 2)) (PI)))>
#<alt (* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))>
#<alt (* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))>
#<alt (* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))>
#<alt (* 2 (/ (* a (pow b 2)) (PI)))>
#<alt (* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))>
#<alt (* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))>
#<alt (* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))>
#<alt (* 2 b)>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ b a))))>
#<alt (* a (+ 2 (* 2 (/ b a))))>
#<alt (* a (+ 2 (* 2 (/ b a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ b a)) 2)))>
#<alt (* 2 a)>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* 2 (/ a b))))>
#<alt (* b (+ 2 (* 2 (/ a b))))>
#<alt (* b (+ 2 (* 2 (/ a b))))>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* -2 (/ a b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 2)))>
#<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) (* (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 (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 (pow a 2))>
#<alt (- (* -1/2 (/ (* b (+ a (* -1 a))) (pow a 4))) (* 1/2 (/ 1 (pow a 2))))>
#<alt (- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (pow a 4))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 6)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))>
#<alt (- (* b (- (* b (- (* -1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 6))) (/ (* (+ a (* -1 a)) (+ (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 6))) (* 1/2 (/ 1 (pow a 4))))) (pow a 2))))) (+ (* 1/2 (/ 1 (pow a 4))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 6)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ (+ 1/2 (* -1/2 (/ (+ a (* -1 a)) b))) (pow b 2))>
#<alt (/ (- (+ 1/2 (* -1 (/ (+ (* -1/2 (pow a 2)) (* -1/2 (pow (+ a (* -1 a)) 2))) (pow b 2)))) (* 1/2 (/ (+ a (* -1 a)) b))) (pow b 2))>
#<alt (/ (- (+ 1/2 (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1/2 (pow a 2)) (* -1/2 (pow (+ a (* -1 a)) 2))))) (* 1/2 (* (pow a 2) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (+ (* -1/2 (/ (pow (+ a (* -1 a)) 2) (pow b 2))) (* 1/2 (/ (+ a (* -1 a)) b))))) (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ (+ 1/2 (* -1/2 (/ (+ a (* -1 a)) b))) (pow b 2))>
#<alt (/ (+ 1/2 (* -1 (/ (- (+ (* -1/2 (/ (pow a 2) b)) (* -1/2 (/ (pow (+ a (* -1 a)) 2) b))) (* -1/2 (+ a (* -1 a)))) b))) (pow b 2))>
#<alt (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow a 2) (+ a (* -1 a))) b)) (/ (* (+ a (* -1 a)) (+ (* -1/2 (pow a 2)) (* -1/2 (pow (+ a (* -1 a)) 2)))) b)) (+ (* -1/2 (pow a 2)) (* -1/2 (pow (+ a (* -1 a)) 2)))) b)) (* -1/2 (+ a (* -1 a)))) b))) (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (+ (* -1/2 (/ (* a (+ b (* -1 b))) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))>
#<alt (+ (* a (- (* a (- (* 1/2 (/ 1 (pow b 4))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 6))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 4))))) (* 1/2 (/ 1 (pow b 2))))>
#<alt (+ (* a (- (* a (- (+ (* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (pow b 6))) (/ (* (+ b (* -1 b)) (- (* 1/2 (/ 1 (pow b 4))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 6))))) (pow b 2))))) (* 1/2 (/ 1 (pow b 4)))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 6))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 4))))) (* 1/2 (/ 1 (pow b 2))))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ (- (* -1/2 (/ (+ b (* -1 b)) a)) 1/2) (pow a 2))>
#<alt (/ (- (* -1 (/ (+ (* 1/2 (pow b 2)) (* 1/2 (pow (+ b (* -1 b)) 2))) (pow a 2))) (+ 1/2 (* 1/2 (/ (+ b (* -1 b)) a)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (+ (* 1/2 (* (pow b 2) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* 1/2 (pow b 2)) (* 1/2 (pow (+ b (* -1 b)) 2))))) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (+ (* 1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ (pow (+ b (* -1 b)) 2) (pow a 2))))))) (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ (- (* 1/2 (/ (+ b (* -1 b)) a)) 1/2) (pow a 2))>
#<alt (/ (- (* -1 (/ (- (+ (* 1/2 (/ (pow b 2) a)) (* 1/2 (/ (pow (+ b (* -1 b)) 2) a))) (* 1/2 (+ b (* -1 b)))) a)) 1/2) (pow a 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 2) (+ b (* -1 b))) a)) (/ (* (+ b (* -1 b)) (+ (* 1/2 (pow b 2)) (* 1/2 (pow (+ b (* -1 b)) 2)))) a)) (+ (* 1/2 (pow b 2)) (* 1/2 (pow (+ b (* -1 b)) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) 1/2) (pow a 2))>
#<alt (/ -1/2 a)>
#<alt (- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))>
#<alt (- (* b (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))>
#<alt (- (* b (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))>
#<alt (/ 1/2 b)>
#<alt (/ (+ 1/2 (* 1/2 (/ a b))) b)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* -1/2 (/ a b))) b)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ a b)) (* -1/2 (/ (pow a 2) (pow b 2))))) b)>
#<alt (/ 1/2 b)>
#<alt (* -1 (/ (- (* -1/2 (/ a b)) 1/2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* -1/2 a)) b)) 1/2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* -1/2 a)) b)) 1/2) b))>
#<alt (/ 1/2 b)>
#<alt (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))>
#<alt (/ -1/2 a)>
#<alt (/ (- (* -1/2 (/ b a)) 1/2) a)>
#<alt (/ (- (* -1/2 (/ (pow b 2) (pow a 2))) (+ 1/2 (* 1/2 (/ b a)))) a)>
#<alt (/ (- (* -1/2 (/ (pow b 3) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ b a)) (* 1/2 (/ (pow b 2) (pow a 2)))))) a)>
#<alt (/ -1/2 a)>
#<alt (* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a))) a))>
#<alt (* -1 a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt b>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt b>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (* -1 a)>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<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 (/ (* 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))>
Calls

105 calls:

TimeVariablePointExpression
92.0ms
b
@-inf
(/ b (/ (PI) a))
5.0ms
a
@0
(* (* 2 (+ a b)) (/ b (/ (PI) a)))
2.0ms
a
@0
(/ (* 1/2 (/ (PI) b)) a)
1.0ms
a
@0
(/ (* 1/2 (/ (PI) a)) (* b b))
1.0ms
b
@0
(* (* 2 (+ a b)) (/ b (/ (PI) a)))

rewrite351.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
4868×*-lowering-*.f32
4868×*-lowering-*.f64
4334×/-lowering-/.f32
4334×/-lowering-/.f64
2340×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029132
1217127
22187127
08941127
Stop Event
1×iter limit
1×node limit
Counts
21 → 724
Calls
Call 1
Inputs
(/ (/ (* 1/2 (/ (PI) b)) a) (+ b a))
(/ (* 1/2 (/ (PI) b)) a)
(* 1/2 (/ (PI) b))
(/ (PI) b)
(* (/ 1/2 a) (/ (PI) (* a b)))
(/ 1/2 a)
(/ (PI) (* a b))
(PI)
(/ (* 1/2 (/ (PI) a)) (* b b))
(* 1/2 (/ (PI) a))
(/ (PI) a)
(/ 1 (* (* 2 (+ a b)) (/ b (/ (PI) a))))
(* (* 2 (+ a b)) (/ b (/ (PI) a)))
(* 2 (+ a b))
(+ a b)
(* (/ (/ 1/2 (- b a)) (+ a b)) (- (/ (PI) a) (/ (PI) b)))
(/ (/ 1/2 (- b a)) (+ a b))
(/ 1/2 (- b a))
(- b a)
(* a b)
(/ b (/ (PI) a))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b a) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) (-.f64 #s(literal 0 binary64) (+.f64 b a))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 b a) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))))))
(neg.f64 (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64)) a) (+.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 b a))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (*.f64 a (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) (+.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a))))
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (*.f64 #s(literal 2 binary64) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64)))) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 b a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64)))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 b a)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a (+.f64 b a)) b))
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64)) a) (-.f64 #s(literal 0 binary64) (+.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64)) (neg.f64 (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 a (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) #s(literal 1 binary64)) (*.f64 a (+.f64 b a)))
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b a)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (neg.f64 (/.f64 (*.f64 b a) (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) #s(literal 1 binary64)) (+.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 b a))) a)
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b a))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b) (/.f64 a (PI.f64)))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 b (PI.f64))) a)
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (+.f64 b a)) a)
(pow.f64 (/.f64 (+.f64 b a) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64)))) (+.f64 b a)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 b a))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 b a) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 b a) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64)))) (/.f64 (+.f64 b a) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 b a) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (*.f64 a (+.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 b a)) (+.f64 b a)))
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(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (*.f64 a a) (*.f64 b b))) (-.f64 a b))
(*.f64 (pow.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (pow.f64 (/.f64 (+.f64 b a) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b a)))
(pow.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 b a))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))))
(+.f64 b (-.f64 #s(literal 0 binary64) a))
(+.f64 (-.f64 #s(literal 0 binary64) a) b)
(-.f64 b a)
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a)))) (/.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a)))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 b a)) (/.f64 (*.f64 a a) (+.f64 b a)))
(fma.f64 #s(literal -1 binary64) a b)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))))
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (+.f64 (*.f64 b b) (-.f64 (*.f64 a a) (-.f64 #s(literal 0 binary64) (*.f64 b a)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 b a))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) (+.f64 b a)))
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (neg.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a)))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a)))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (+.f64 b a)) (*.f64 (+.f64 b a) (*.f64 a a))) (*.f64 (+.f64 b a) (+.f64 b a)))
(pow.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a)))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 a a) (*.f64 b b))) (-.f64 a b))
(*.f64 b a)
(*.f64 a b)
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a))) #s(literal -1 binary64)))
(neg.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (PI.f64) a)))
(/.f64 b (/.f64 (PI.f64) a))
(/.f64 (*.f64 b a) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (*.f64 b a))))
(/.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (/.f64 b (PI.f64)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) (/.f64 (PI.f64) a))
(/.f64 (/.f64 (*.f64 b a) #s(literal 1 binary64)) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 (PI.f64) a))
(/.f64 (/.f64 (*.f64 b a) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 b a) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 b (/.f64 a (PI.f64)))
(*.f64 a (/.f64 b (PI.f64)))
(*.f64 (*.f64 b a) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (PI.f64)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.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 (/.f64 b (PI.f64)) a)
(*.f64 (/.f64 b (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 a (PI.f64)))
(*.f64 (/.f64 b (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 a (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 b (sqrt.f64 (PI.f64))) (/.f64 a (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 a (sqrt.f64 (PI.f64))) (/.f64 b (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 b (PI.f64)))
(*.f64 (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 b (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) #s(literal -1 binary64)))
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b 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 b (PI.f64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (/.f64 a (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (*.f64 b a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b a)) #s(literal -1 binary64)))
(*.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 (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)) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) #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)))

simplify375.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
4964×*-lowering-*.f32
4964×*-lowering-*.f64
2824×+-lowering-+.f64
2824×+-lowering-+.f32
1826×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06805073
123124272
094554272
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
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) (* 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))
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(* 1/2 (/ (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 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)
(/ (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))
(* 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))
(/ (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 (/ (* 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))
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* 2 (/ (* (pow a 2) b) (PI)))
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* 2 (/ (* a (pow b 2)) (PI)))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* 2 (/ (* a (pow b 2)) (PI)))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* 2 b)
(+ (* 2 a) (* 2 b))
(+ (* 2 a) (* 2 b))
(+ (* 2 a) (* 2 b))
(* 2 a)
(* a (+ 2 (* 2 (/ b a))))
(* a (+ 2 (* 2 (/ b a))))
(* a (+ 2 (* 2 (/ b a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ b a)) 2)))
(* -1 (* a (- (* -2 (/ b a)) 2)))
(* -1 (* a (- (* -2 (/ b a)) 2)))
(* 2 a)
(+ (* 2 a) (* 2 b))
(+ (* 2 a) (* 2 b))
(+ (* 2 a) (* 2 b))
(* 2 b)
(* b (+ 2 (* 2 (/ a b))))
(* b (+ 2 (* 2 (/ a b))))
(* b (+ 2 (* 2 (/ a b))))
(* 2 b)
(* -1 (* b (- (* -2 (/ a b)) 2)))
(* -1 (* b (- (* -2 (/ a b)) 2)))
(* -1 (* b (- (* -2 (/ a b)) 2)))
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) (* (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))
(* 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 (pow a 2))
(- (* -1/2 (/ (* b (+ a (* -1 a))) (pow a 4))) (* 1/2 (/ 1 (pow a 2))))
(- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (pow a 4))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 6)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))
(- (* b (- (* b (- (* -1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 6))) (/ (* (+ a (* -1 a)) (+ (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 6))) (* 1/2 (/ 1 (pow a 4))))) (pow a 2))))) (+ (* 1/2 (/ 1 (pow a 4))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 6)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))
(/ 1/2 (pow b 2))
(/ (+ 1/2 (* -1/2 (/ (+ a (* -1 a)) b))) (pow b 2))
(/ (- (+ 1/2 (* -1 (/ (+ (* -1/2 (pow a 2)) (* -1/2 (pow (+ a (* -1 a)) 2))) (pow b 2)))) (* 1/2 (/ (+ a (* -1 a)) b))) (pow b 2))
(/ (- (+ 1/2 (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1/2 (pow a 2)) (* -1/2 (pow (+ a (* -1 a)) 2))))) (* 1/2 (* (pow a 2) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (+ (* -1/2 (/ (pow (+ a (* -1 a)) 2) (pow b 2))) (* 1/2 (/ (+ a (* -1 a)) b))))) (pow b 2))
(/ 1/2 (pow b 2))
(/ (+ 1/2 (* -1/2 (/ (+ a (* -1 a)) b))) (pow b 2))
(/ (+ 1/2 (* -1 (/ (- (+ (* -1/2 (/ (pow a 2) b)) (* -1/2 (/ (pow (+ a (* -1 a)) 2) b))) (* -1/2 (+ a (* -1 a)))) b))) (pow b 2))
(/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow a 2) (+ a (* -1 a))) b)) (/ (* (+ a (* -1 a)) (+ (* -1/2 (pow a 2)) (* -1/2 (pow (+ a (* -1 a)) 2)))) b)) (+ (* -1/2 (pow a 2)) (* -1/2 (pow (+ a (* -1 a)) 2)))) b)) (* -1/2 (+ a (* -1 a)))) b))) (pow b 2))
(/ 1/2 (pow b 2))
(+ (* -1/2 (/ (* a (+ b (* -1 b))) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))
(+ (* a (- (* a (- (* 1/2 (/ 1 (pow b 4))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 6))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 4))))) (* 1/2 (/ 1 (pow b 2))))
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (pow b 6))) (/ (* (+ b (* -1 b)) (- (* 1/2 (/ 1 (pow b 4))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 6))))) (pow b 2))))) (* 1/2 (/ 1 (pow b 4)))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 6))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 4))))) (* 1/2 (/ 1 (pow b 2))))
(/ -1/2 (pow a 2))
(/ (- (* -1/2 (/ (+ b (* -1 b)) a)) 1/2) (pow a 2))
(/ (- (* -1 (/ (+ (* 1/2 (pow b 2)) (* 1/2 (pow (+ b (* -1 b)) 2))) (pow a 2))) (+ 1/2 (* 1/2 (/ (+ b (* -1 b)) a)))) (pow a 2))
(/ (- (* -1 (/ (+ (* 1/2 (* (pow b 2) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* 1/2 (pow b 2)) (* 1/2 (pow (+ b (* -1 b)) 2))))) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (+ (* 1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ (pow (+ b (* -1 b)) 2) (pow a 2))))))) (pow a 2))
(/ -1/2 (pow a 2))
(/ (- (* 1/2 (/ (+ b (* -1 b)) a)) 1/2) (pow a 2))
(/ (- (* -1 (/ (- (+ (* 1/2 (/ (pow b 2) a)) (* 1/2 (/ (pow (+ b (* -1 b)) 2) a))) (* 1/2 (+ b (* -1 b)))) a)) 1/2) (pow a 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 2) (+ b (* -1 b))) a)) (/ (* (+ b (* -1 b)) (+ (* 1/2 (pow b 2)) (* 1/2 (pow (+ b (* -1 b)) 2)))) a)) (+ (* 1/2 (pow b 2)) (* 1/2 (pow (+ b (* -1 b)) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) 1/2) (pow a 2))
(/ -1/2 a)
(- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(- (* b (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(- (* b (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(/ 1/2 b)
(/ (+ 1/2 (* 1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* -1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ a b)) (* -1/2 (/ (pow a 2) (pow b 2))))) b)
(/ 1/2 b)
(* -1 (/ (- (* -1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* -1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* -1/2 a)) b)) 1/2) b))
(/ 1/2 b)
(+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(/ -1/2 a)
(/ (- (* -1/2 (/ b a)) 1/2) a)
(/ (- (* -1/2 (/ (pow b 2) (pow a 2))) (+ 1/2 (* 1/2 (/ b a)))) a)
(/ (- (* -1/2 (/ (pow b 3) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ b a)) (* 1/2 (/ (pow b 2) (pow a 2)))))) a)
(/ -1/2 a)
(* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a))) a))
(* -1 a)
(- b a)
(- b a)
(- b a)
b
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
b
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
b
(+ b (* -1 a))
(+ b (* -1 a))
(+ b (* -1 a))
(* -1 a)
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* 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)
(/ (* 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))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (/.f64 b 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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a a)) (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 a a)) (*.f64 b (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64)))))))) 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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a a)) (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 a a)) (*.f64 b (+.f64 (/.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (PI.f64)) (pow.f64 a #s(literal 5 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
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(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
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(/ (+ 1/2 (* -1/2 (/ (+ a (* -1 a)) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) b)) (*.f64 b b))
(/ (+ 1/2 (* -1 (/ (- (+ (* -1/2 (/ (pow a 2) b)) (* -1/2 (/ (pow (+ a (* -1 a)) 2) b))) (* -1/2 (+ a (* -1 a)))) b))) (pow b 2))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) b) #s(literal 0 binary64))) b)) (*.f64 b b))
(/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow a 2) (+ a (* -1 a))) b)) (/ (* (+ a (* -1 a)) (+ (* -1/2 (pow a 2)) (* -1/2 (pow (+ a (* -1 a)) 2)))) b)) (+ (* -1/2 (pow a 2)) (* -1/2 (pow (+ a (* -1 a)) 2)))) b)) (* -1/2 (+ a (* -1 a)))) b))) (pow b 2))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a a) #s(literal 0 binary64)))) b)) #s(literal 0 binary64)) b)) (*.f64 b b))
(/ 1/2 (pow b 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(+ (* -1/2 (/ (* a (+ b (* -1 b))) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))
(+ (* a (- (* a (- (* 1/2 (/ 1 (pow b 4))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 6))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 4))))) (* 1/2 (/ 1 (pow b 2))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (+.f64 (*.f64 a (+.f64 (*.f64 a (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))))) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64)))))
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (pow b 6))) (/ (* (+ b (* -1 b)) (- (* 1/2 (/ 1 (pow b 4))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 6))))) (pow b 2))))) (* 1/2 (/ 1 (pow b 4)))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 6))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 4))))) (* 1/2 (/ 1 (pow b 2))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (+.f64 (*.f64 a (+.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))))) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))))) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64)))))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ (- (* -1/2 (/ (+ b (* -1 b)) a)) 1/2) (pow a 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) a)) (*.f64 a a))
(/ (- (* -1 (/ (+ (* 1/2 (pow b 2)) (* 1/2 (pow (+ b (* -1 b)) 2))) (pow a 2))) (+ 1/2 (* 1/2 (/ (+ b (* -1 b)) a)))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 b b) #s(literal 0 binary64))) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) a))) (*.f64 a a))
(/ (- (* -1 (/ (+ (* 1/2 (* (pow b 2) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* 1/2 (pow b 2)) (* 1/2 (pow (+ b (* -1 b)) 2))))) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (+ (* 1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ (pow (+ b (* -1 b)) 2) (pow a 2))))))) (pow a 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 0 binary64) a) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 #s(literal 0 binary64) a) a) (+.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 a a)))))) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ (- (* 1/2 (/ (+ b (* -1 b)) a)) 1/2) (pow a 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) a)) (*.f64 a a))
(/ (- (* -1 (/ (- (+ (* 1/2 (/ (pow b 2) a)) (* 1/2 (/ (pow (+ b (* -1 b)) 2) a))) (* 1/2 (+ b (* -1 b)))) a)) 1/2) (pow a 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) a) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) a))) (*.f64 a a))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 2) (+ b (* -1 b))) a)) (/ (* (+ b (* -1 b)) (+ (* 1/2 (pow b 2)) (* 1/2 (pow (+ b (* -1 b)) 2)))) a)) (+ (* 1/2 (pow b 2)) (* 1/2 (pow (+ b (* -1 b)) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) 1/2) (pow a 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (/.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 b b) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) a)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) a))) (*.f64 a a))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(/.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) a)
(- (* b (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 #s(literal -1/2 binary64) a))
(- (* b (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+.f64 (*.f64 b (+.f64 (*.f64 b (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 #s(literal -1/2 binary64) a))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ (+ 1/2 (* 1/2 (/ a b))) b)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* -1/2 (/ a b))) b)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 a a) b) a)) b)) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ a b)) (* -1/2 (/ (pow a 2) (pow b 2))))) b)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 a a) (*.f64 b b)))))) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(* -1 (/ (- (* -1/2 (/ a b)) 1/2) b))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) b)
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* -1/2 a)) b)) 1/2) b))
(/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 a a) b) a)) b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* -1/2 a)) b)) 1/2) b))
(/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 a (*.f64 a a)) b) (*.f64 a a))) b)) (*.f64 #s(literal 1/2 binary64) a)) b))) (-.f64 #s(literal 0 binary64) b))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) a) b) b))
(+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 a (*.f64 b (*.f64 b b))))))
(+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (+.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))))))))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ (- (* -1/2 (/ b a)) 1/2) a)
(/.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) a)
(/ (- (* -1/2 (/ (pow b 2) (pow a 2))) (+ 1/2 (* 1/2 (/ b a)))) a)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 b b) a) b)) a) #s(literal 1/2 binary64)) a)
(/ (- (* -1/2 (/ (pow b 3) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ b a)) (* 1/2 (/ (pow b 2) (pow a 2)))))) a)
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a a))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 b a) (*.f64 b (/.f64 b (*.f64 a a)))))) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) a))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 b b) a) b)) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a))) a))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b (*.f64 b b)) a) (*.f64 b b))) a)) (*.f64 b #s(literal -1/2 binary64))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(- b a)
(-.f64 b a)
(- b a)
(-.f64 b a)
(- b a)
(-.f64 b a)
b
(* b (+ 1 (* -1 (/ a b))))
(*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(* b (+ 1 (* -1 (/ a b))))
(*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(* b (+ 1 (* -1 (/ a b))))
(*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 a b)))
b
(* -1 (* b (- (/ a b) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 a b))))
(* -1 (* b (- (/ a b) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 a b))))
(* -1 (* b (- (/ a b) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 a b))))
b
(+ b (* -1 a))
(-.f64 b a)
(+ b (* -1 a))
(-.f64 b a)
(+ b (* -1 a))
(-.f64 b a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* a (- (/ b a) 1))
(*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 b a)))
(* a (- (/ b a) 1))
(*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 b a)))
(* a (- (/ b a) 1))
(*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 b a)))
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(* 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)
(/ (* 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))

eval503.0ms (4.5%)

Compiler

Compiled 26313 to 3293 computations (87.5% saved)

prune185.0ms (1.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1494111505
Fresh11213
Picked325
Done000
Total1508151523
Accuracy
100.0%
Counts
1523 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
✓99.6%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (+.f64 b a))
▶65.2%
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64)))
61.9%
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) b)
65.1%
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 b a))
▶65.2%
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
61.9%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) b)
61.9%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
✓55.4%
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 b b))
▶55.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b b) a))
61.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
57.2%
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
▶94.3%
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b) (/.f64 (PI.f64) a))
91.7%
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a))))
▶65.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b))
Compiler

Compiled 318 to 229 computations (28% saved)

simplify62.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 b a)
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) (*.f64 b a))
✓cost-diff0
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 b a)
✓cost-diff0
(/.f64 (*.f64 b a) (PI.f64))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
✓cost-diff0
(*.f64 (*.f64 b 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 (*.f64 b b) a))
✓cost-diff0
(/.f64 (PI.f64) a)
✓cost-diff0
(/.f64 (/.f64 (PI.f64) a) b)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b))
✓cost-diff0
(+.f64 b a)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b)
✓cost-diff0
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b) (/.f64 (PI.f64) a))
Rules
424×*-lowering-*.f32
424×*-lowering-*.f64
402×/-lowering-/.f32
402×/-lowering-/.f64
238×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022126
160126
2157123
3288123
4370123
5441123
6501123
7577123
8646123
9674123
10680123
0680123
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ (/ 1/2 (+ b a)) b) (/ (PI) a))
(/ (/ 1/2 (+ b a)) b)
(/ 1/2 (+ b a))
1/2
(+ b a)
b
a
(/ (PI) a)
(PI)
(* (/ 1/2 a) (/ (/ (PI) a) b))
(/ 1/2 a)
1/2
a
(/ (/ (PI) a) b)
(/ (PI) a)
(PI)
b
(/ (* 1/2 (PI)) (* (* b b) a))
(* 1/2 (PI))
1/2
(PI)
(* (* b b) a)
(* b b)
b
a
(/ (/ 1/2 a) (/ (* b a) (PI)))
(/ 1/2 a)
1/2
a
(/ (* b a) (PI))
(* b a)
b
(PI)
(/ (/ (PI) (* b a)) (/ a 1/2))
(/ (PI) (* b a))
(PI)
(* b a)
b
a
(/ a 1/2)
1/2
Outputs
(* (/ (/ 1/2 (+ b a)) b) (/ (PI) a))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (PI.f64))) a) b)
(/ (/ 1/2 (+ b a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b 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)
b
a
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
(* (/ 1/2 a) (/ (/ (PI) a) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 a a)) (PI.f64)))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(/ (/ (PI) a) b)
(/.f64 (PI.f64) (*.f64 b a))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
b
(/ (* 1/2 (PI)) (* (* b b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 b a)) (PI.f64)))
(* 1/2 (PI))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
(* (* b b) a)
(*.f64 b (*.f64 b a))
(* b b)
(*.f64 b b)
b
a
(/ (/ 1/2 a) (/ (* b a) (PI)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 a a)) (PI.f64)))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(/ (* b a) (PI))
(/.f64 (*.f64 b a) (PI.f64))
(* b a)
(*.f64 b a)
b
(PI)
(PI.f64)
(/ (/ (PI) (* b a)) (/ a 1/2))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 a a)) (PI.f64)))
(/ (PI) (* b a))
(/.f64 (PI.f64) (*.f64 b a))
(PI)
(PI.f64)
(* b a)
(*.f64 b a)
b
a
(/ a 1/2)
(/.f64 a #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize157.0ms (1.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 b a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.9%
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64)))
✓accuracy99.1%
(/.f64 (PI.f64) (*.f64 b a))
✓accuracy100.0%
(*.f64 b a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
✓accuracy99.6%
(/.f64 (*.f64 b a) (PI.f64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b b) a))
✓accuracy87.7%
(*.f64 (*.f64 b b) a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b))
✓accuracy99.7%
(/.f64 (/.f64 (PI.f64) a) b)
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b)
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy94.4%
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b) (/.f64 (PI.f64) a))
Results
122.0ms256×0valid
Compiler

Compiled 132 to 23 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 19.0ms (58.1% of total)
ival-mult: 10.0ms (30.6% of total)
ival-add: 2.0ms (6.1% of total)
ival-pi: 1.0ms (3.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts
17 → 336
Calls
Call 1
Inputs
#<alt (* (/ (/ 1/2 (+ b a)) b) (/ (PI) a))>
#<alt (/ (/ 1/2 (+ b a)) b)>
#<alt (/ 1/2 (+ b a))>
#<alt (+ b a)>
#<alt (* (/ 1/2 a) (/ (/ (PI) a) b))>
#<alt (/ 1/2 a)>
#<alt (/ (/ (PI) a) b)>
#<alt (/ (PI) a)>
#<alt (/ (* 1/2 (PI)) (* (* b b) a))>
#<alt (* 1/2 (PI))>
#<alt (PI)>
#<alt (* (* b b) a)>
#<alt (/ (/ 1/2 a) (/ (* b a) (PI)))>
#<alt (/ (* b a) (PI))>
#<alt (* b a)>
#<alt (/ (/ (PI) (* b a)) (/ a 1/2))>
#<alt (/ (PI) (* b a))>
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 (* a b))>
#<alt (/ (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) b)>
#<alt (/ (+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) b)>
#<alt (/ (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) b)>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ (+ 1/2 (* -1/2 (/ a b))) (pow b 2))>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ a b)) (* 1/2 (/ (pow a 2) (pow b 2))))) (pow b 2))>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ a b)) (+ (* -1/2 (/ (pow a 3) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 2)))))) (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ (+ 1/2 (* -1/2 (/ a b))) (pow b 2))>
#<alt (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) (pow b 2))>
#<alt (/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b))) (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (+ (* -1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))>
#<alt (+ (* a (- (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))>
#<alt (+ (* a (- (* a (+ (* -1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))>
#<alt (/ 1/2 (* a b))>
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) a)>
#<alt (/ (- (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (* 1/2 (/ 1 a))) a)>
#<alt (/ (- (+ (* -1/2 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 b))) (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))) a)>
#<alt (/ 1/2 (* a b))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ b a)) 1/2) a)) (* 1/2 (/ 1 b))) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a)) (* 1/2 (/ 1 b))) a))>
#<alt (/ 1/2 a)>
#<alt (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))>
#<alt (+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))>
#<alt (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))>
#<alt (/ 1/2 b)>
#<alt (/ (+ 1/2 (* -1/2 (/ a b))) b)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)>
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)>
#<alt (/ 1/2 b)>
#<alt (* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))>
#<alt (/ 1/2 b)>
#<alt (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))>
#<alt (/ 1/2 a)>
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) a)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)>
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)>
#<alt (/ 1/2 a)>
#<alt (* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))>
#<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 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 (* 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 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 (/ (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) (* 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 (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<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 (/ (* 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 (* 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) (* (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) (* 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))>
Calls

84 calls:

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

rewrite369.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
3508×/-lowering-/.f32
3508×/-lowering-/.f64
3446×*-lowering-*.f32
3446×*-lowering-*.f64
1010×frac-2neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02293
115690
2143090
3716590
0810590
Stop Event
1×iter limit
1×node limit
Counts
17 → 1098
Calls
Call 1
Inputs
(* (/ (/ 1/2 (+ b a)) b) (/ (PI) a))
(/ (/ 1/2 (+ b a)) b)
(/ 1/2 (+ b a))
(+ b a)
(* (/ 1/2 a) (/ (/ (PI) a) b))
(/ 1/2 a)
(/ (/ (PI) a) b)
(/ (PI) a)
(/ (* 1/2 (PI)) (* (* b b) a))
(* 1/2 (PI))
(PI)
(* (* b b) a)
(/ (/ 1/2 a) (/ (* b a) (PI)))
(/ (* b a) (PI))
(* b a)
(/ (/ (PI) (* b a)) (/ a 1/2))
(/ (PI) (* b a))
Outputs
(-.f64 (/.f64 (+.f64 (PI.f64) #s(literal 1 binary64)) (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))))) (/.f64 (PI.f64) (neg.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a (*.f64 b (+.f64 b a))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (*.f64 a (*.f64 b (+.f64 b a))))))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))))))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (*.f64 a (*.f64 b (+.f64 b a))))))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a))))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 b a))) (/.f64 (PI.f64) a)))
(neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (*.f64 b a)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) a))))
(neg.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 b a)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (PI.f64))))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 b a))) (/.f64 a (PI.f64))))
(neg.f64 (/.f64 (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) a)) (/.f64 b (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))))
(neg.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b a))))
(neg.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))) b) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))) a) (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64))))))
(neg.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal -1/2 binary64))) (*.f64 b a)))
(neg.f64 (/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal -1/2 binary64) (+.f64 b a)))) a))
(neg.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 b a) #s(literal -1/2 binary64))) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (+.f64 b a)) (/.f64 (PI.f64) a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) (+.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (+.f64 b a) (/.f64 (PI.f64) a))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (/.f64 a (PI.f64)))
(/.f64 (PI.f64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))))
(/.f64 (PI.f64) (neg.f64 (neg.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))))))
(/.f64 (PI.f64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))))
(/.f64 (PI.f64) (*.f64 b (*.f64 a (/.f64 (+.f64 b a) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (PI.f64) a) (/.f64 b (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b (+.f64 b a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (neg.f64 (*.f64 a (*.f64 b (+.f64 b a))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b a) (+.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (neg.f64 (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b (+.f64 b a)) (/.f64 (PI.f64) a)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))))) (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 a (*.f64 b (+.f64 b a)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64)))) (/.f64 #s(literal -1/2 binary64) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) a))))
(/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))) (*.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 b (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) a)) (/.f64 b (/.f64 #s(literal -1/2 binary64) (+.f64 b a))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (neg.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 b (neg.f64 (*.f64 a (/.f64 (+.f64 b a) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (/.f64 (PI.f64) a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) (-.f64 (-.f64 #s(literal 0 binary64) b) a)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 b a)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 (PI.f64) a))))
(/.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) (*.f64 b (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64)))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (*.f64 a (*.f64 b (+.f64 b a)))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (*.f64 b a) (-.f64 (-.f64 #s(literal 0 binary64) b) a)))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b) a))))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) a)))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))) b) a)
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))) a) b)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))) b))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) (/.f64 (+.f64 b a) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 a (PI.f64)) (/.f64 b (/.f64 #s(literal -1/2 binary64) (+.f64 b a)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64)))))
(/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal -1/2 binary64) (+.f64 b a)))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 b a) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 b a))))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (+.f64 b a) (/.f64 (PI.f64) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a))) (/.f64 b (PI.f64)))
(/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 b a))) (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64))))
(/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 (PI.f64) a)))
(pow.f64 (/.f64 (/.f64 a (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 a (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))) b)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) (/.f64 (*.f64 b a) (PI.f64))) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 b a)) (/.f64 (PI.f64) a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (/.f64 (PI.f64) a))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (+.f64 b a)))))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))) b) a))
(*.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (*.f64 b a))))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a (*.f64 b (+.f64 b a))))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal 1/2 binary64))) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 (PI.f64) (/.f64 (+.f64 b a) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal -1/2 binary64) (+.f64 b a)))) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 b a) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a))) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 b a))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 b a))))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 b a))) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 b a)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1/2 binary64) (+.f64 b a))))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b) (+.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 b a)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (-.f64 #s(literal 0 binary64) b) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b)
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal -1/2 binary64) b)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 b a))))
(/.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 b a) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 b (/.f64 #s(literal -1/2 binary64) (+.f64 b a))))
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(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (PI.f64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal -1/2 binary64)))

simplify305.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
4510×*-lowering-*.f32
4510×*-lowering-*.f64
2888×/-lowering-/.f32
2888×/-lowering-/.f64
1756×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03492807
110772576
230432519
379832519
080112519
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
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 (* a b))
(/ (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) b)
(/ (+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) b)
(/ (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) b)
(/ 1/2 (pow b 2))
(/ (+ 1/2 (* -1/2 (/ a b))) (pow b 2))
(/ (+ 1/2 (+ (* -1/2 (/ a b)) (* 1/2 (/ (pow a 2) (pow b 2))))) (pow b 2))
(/ (+ 1/2 (+ (* -1/2 (/ a b)) (+ (* -1/2 (/ (pow a 3) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 2)))))) (pow b 2))
(/ 1/2 (pow b 2))
(/ (+ 1/2 (* -1/2 (/ a b))) (pow b 2))
(/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) (pow b 2))
(/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b))) (pow b 2))
(/ 1/2 (pow b 2))
(+ (* -1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))
(+ (* a (- (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))
(/ 1/2 (* a b))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) a)
(/ (- (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (* 1/2 (/ 1 a))) a)
(/ (- (+ (* -1/2 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 b))) (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))) a)
(/ 1/2 (* a b))
(* -1 (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ b a)) 1/2) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a)) (* 1/2 (/ 1 b))) a))
(/ 1/2 a)
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(/ 1/2 b)
(/ (+ 1/2 (* -1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)
(/ 1/2 b)
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(/ 1/2 b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(/ 1/2 a)
(/ (+ 1/2 (* -1/2 (/ b a))) a)
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)
(/ 1/2 a)
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))
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)))
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)))
(* 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 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)
(/ (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) (* 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))))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* 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)))
(/ (* 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 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) (* (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) (* 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))
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 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 (/ (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 (/.f64 (PI.f64) (*.f64 a a)) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 4 binary64)))))) 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 (/.f64 (PI.f64) (*.f64 a a)) a)) (*.f64 b (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 4 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 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) 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 a (/.f64 (PI.f64) (*.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 #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 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) 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 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) a) b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) 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 (*.f64 (PI.f64) (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) b) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a))) b)) 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 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) a) 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 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) (*.f64 a (+.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)) (pow.f64 b #s(literal 4 binary64)))))) 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)
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(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a)
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) 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))
(* 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) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))

eval242.0ms (2.2%)

Compiler

Compiled 23616 to 2789 computations (88.2% saved)

prune199.0ms (1.8%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New178171788
Fresh538
Picked235
Done112
Total1789141803
Accuracy
100.0%
Counts
1803 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.2%
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 a #s(literal 1/2 binary64)))
✓99.6%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (+.f64 b a))
64.8%
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))) #s(literal 2 binary64))
61.9%
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) b)
65.1%
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 b a))
65.1%
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 b (PI.f64)) a))
61.9%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
✓55.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b b) a))
61.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b a) b))
64.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (PI.f64) (*.f64 b a))))
✓94.3%
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b) (/.f64 (PI.f64) a))
56.6%
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (/.f64 (PI.f64) a))
61.9%
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
✓65.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b))
Compiler

Compiled 959 to 294 computations (69.3% saved)

regimes48.0ms (0.4%)

Counts
55 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (/.f64 (PI.f64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (PI.f64) (*.f64 b a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.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 b a) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 b b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 b (PI.f64)) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))) #s(literal 2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 a #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b) (/.f64 (PI.f64) a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (+.f64 b a))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (/.f64 b (/.f64 (PI.f64) a))))
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (PI.f64) a))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) (*.f64 a a))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))) a)
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.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 1/2 binary64) (-.f64 b a)) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 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 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a))))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (PI.f64))) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (PI.f64))) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
(*.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 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64))) (PI.f64))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64))) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal -1 binary64)))
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (neg.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))))
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))))))
Outputs
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
Calls

3 calls:

15.0ms
b
14.0ms
(*.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)))
14.0ms
a
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)

regimes42.0ms (0.4%)

Counts
40 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (/.f64 (PI.f64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (PI.f64) (*.f64 b a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.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 b a) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 b b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 b (PI.f64)) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))) #s(literal 2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 a #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b) (/.f64 (PI.f64) a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (+.f64 b a))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (/.f64 b (/.f64 (PI.f64) a))))
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (PI.f64) a))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) (*.f64 a a))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))) a)
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.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 1/2 binary64) (-.f64 b a)) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 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))))
Outputs
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (+.f64 b a))
Calls

2 calls:

27.0ms
b
12.0ms
a
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts
26 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (/.f64 (PI.f64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (PI.f64) (*.f64 b a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.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 b a) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 b b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 b (PI.f64)) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))) #s(literal 2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 a #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b) (/.f64 (PI.f64) a))
Outputs
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a))))
Calls

2 calls:

9.0ms
a
8.0ms
b
Results
AccuracySegmentsBranch
99.6%2a
99.6%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes34.0ms (0.3%)

Counts
24 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (/.f64 (PI.f64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (PI.f64) (*.f64 b a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.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 b a) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 b b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 b (PI.f64)) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))) #s(literal 2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 a #s(literal 1/2 binary64)))
Outputs
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) b)
Calls

2 calls:

25.0ms
b
7.0ms
a
Results
AccuracySegmentsBranch
90.4%2b
93.8%2a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
20 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (/.f64 (PI.f64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (PI.f64) (*.f64 b a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.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 b a) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 b b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 b (PI.f64)) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b a))) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) b)
Calls

1 calls:

6.0ms
a
Results
AccuracySegmentsBranch
93.8%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (/.f64 (PI.f64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (PI.f64) (*.f64 b a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.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 b a) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 b b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
Calls

1 calls:

5.0ms
a
Results
AccuracySegmentsBranch
93.8%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.2%)

Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (/.f64 (PI.f64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (PI.f64) (*.f64 b a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.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 b a) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 b b))
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
Calls

1 calls:

20.0ms
a
Results
AccuracySegmentsBranch
93.8%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

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

2 calls:

2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
65.2%1b
65.2%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.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:

1.0ms
b
1.0ms
a
Results
AccuracySegmentsBranch
65.1%1b
65.1%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch17.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
15.0ms
-1.6890886398533925e+109
-2.014644088327011e+105
Results
10.0ms96×0valid
Compiler

Compiled 184 to 133 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (43.2% of total)
ival-mult: 3.0ms (43.2% of total)
ival-sub: 1.0ms (14.4% of total)
ival-pi: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
-2.6046472898129946e-45
-2.0809665448931747e-48
Results
15.0ms128×0valid
Compiler

Compiled 220 to 163 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (47.2% of total)
ival-div: 4.0ms (37.8% of total)
ival-pi: 1.0ms (9.4% of total)
ival-sub: 1.0ms (9.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
-2.6046472898129946e-45
-2.0809665448931747e-48
Results
15.0ms128×0valid
Compiler

Compiled 220 to 163 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (43.3% of total)
ival-mult: 4.0ms (43.3% of total)
ival-pi: 1.0ms (10.8% of total)
ival-sub: 1.0ms (10.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
-2.6046472898129946e-45
-2.0809665448931747e-48
Results
16.0ms128×0valid
Compiler

Compiled 220 to 163 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (56.2% of total)
ival-div: 4.0ms (32.1% of total)
ival-pi: 1.0ms (8% of total)
ival-sub: 1.0ms (8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
-2.6046472898129946e-45
-2.0809665448931747e-48
Results
14.0ms128×0valid
Compiler

Compiled 220 to 163 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (47.9% of total)
ival-div: 4.0ms (38.3% of total)
ival-pi: 1.0ms (9.6% of total)
ival-sub: 1.0ms (9.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
28×*-commutative_binary64
14×+-commutative_binary64
12×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053158
168158
280158
388158
494158
596158
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (+.f64 b a))
(if (<=.f64 a #s(literal -600000000000000046473455524883116661202489643467779290086853867826709171176518251711725606799149906700271616 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -7507614542778003/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) b))
(if (<=.f64 a #s(literal -3776304404008627/1606938044258990275541962092341162602522202993782792835301376 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) b))
(if (<=.f64 a #s(literal -1968499104217263/803469022129495137770981046170581301261101496891396417650688 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a)))
(if (<=.f64 a #s(literal -1156995391866473/25711008708143844408671393477458601640355247900524685364822016 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b)) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
Outputs
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 a b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (+.f64 b a))
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) a) (+.f64 a b))
(if (<=.f64 a #s(literal -600000000000000046473455524883116661202489643467779290086853867826709171176518251711725606799149906700271616 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -600000000000000046473455524883116661202489643467779290086853867826709171176518251711725606799149906700271616 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 a b) (PI.f64))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 a b)))))
(if (<=.f64 a #s(literal -7507614542778003/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) b))
(if (<=.f64 a #s(literal -7507614542778003/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 a #s(literal 1/2 binary64))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) b))
(if (<=.f64 a #s(literal -3776304404008627/1606938044258990275541962092341162602522202993782792835301376 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) b))
(if (<=.f64 a #s(literal -3776304404008627/1606938044258990275541962092341162602522202993782792835301376 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) b))
(if (<=.f64 a #s(literal -1968499104217263/803469022129495137770981046170581301261101496891396417650688 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a)))
(if (<=.f64 a #s(literal -1968499104217263/803469022129495137770981046170581301261101496891396417650688 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a b)))
(if (<=.f64 a #s(literal -1156995391866473/25711008708143844408671393477458601640355247900524685364822016 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b)) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(if (<=.f64 a #s(literal -1156995391866473/25711008708143844408671393477458601640355247900524685364822016 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b)) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) a) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))

soundness2.3s (20.6%)

Rules
4868×*-lowering-*.f32
4868×*-lowering-*.f64
4860×*-lowering-*.f32
4860×*-lowering-*.f64
4334×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02367
119067
2208267
0886167
029132
1217127
22187127
08941127
05055943
117294815
264814778
081154778
034153
1252147
22748138
08458138
02293
115690
2143090
3716590
0810590
04743081
115332539
262312458
080652458
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 532 to 324 computations (39.1% saved)

preprocess54.0ms (0.5%)

Remove

(sort a b)

Compiler

Compiled 480 to 204 computations (57.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...