NMSE Section 6.1 mentioned, B

Time bar (total: 11.8s)

analyze156.0ms (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: 89.0ms
ival-mult: 36.0ms (40.5% of total)
ival-div: 26.0ms (29.2% of total)
ival-pi: 16.0ms (18% of total)
ival-sub: 9.0ms (10.1% of total)
const: 2.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

sample1.6s (13.6%)

Results
1.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 982.0ms
ival-sub: 360.0ms (36.7% of total)
ival-mult: 306.0ms (31.2% of total)
ival-div: 258.0ms (26.3% of total)
ival-pi: 40.0ms (4.1% of total)
const: 14.0ms (1.4% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess263.0ms (2.2%)

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)

explain165.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
420-4(-5.3978952908454445e-285 1.1068332337383105e+158)(*.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)))
140-0-(-.f64 (*.f64 b b) (*.f64 a a))
60-0-(/.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
101.0ms512×0valid
Compiler

Compiled 183 to 47 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-div: 17.0ms (37.9% of total)
ival-mult: 14.0ms (31.2% of total)
ival-sub: 11.0ms (24.5% of total)
ival-pi: 2.0ms (4.5% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 19 to 12 computations (36.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶85.1%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
▶77.2%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 42 to 27 computations (35.7% saved)

simplify181.0ms (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-diff128
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Rules
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)

localize138.0ms (1.2%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy99.5%
(/.f64 (PI.f64) a)
✓accuracy85.1%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
✓accuracy99.7%
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
✓accuracy98.7%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
✓accuracy95.3%
(-.f64 (*.f64 b b) (*.f64 a a))
✓accuracy86.4%
(*.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
108.0ms256×0valid
Compiler

Compiled 134 to 24 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-div: 39.0ms (60% of total)
ival-mult: 17.0ms (26.1% of total)
ival-sub: 5.0ms (7.7% of total)
ival-add: 3.0ms (4.6% of total)
ival-pi: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (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
a
@0
(/ (- (/ (PI) a) (/ (PI) b)) (* (+ b a) (* 2 (- b a))))
2.0ms
b
@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))))
1.0ms
b
@-inf
(/ (- (/ (PI) a) (/ (PI) b)) (* (+ b a) (* 2 (- b a))))

rewrite460.0ms (3.9%)

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
0886267
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 (*.f64 b 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 (*.f64 b 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 (*.f64 b 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 (*.f64 b 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 (*.f64 b 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 (*.f64 b 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 (*.f64 b 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 (*.f64 b 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 (*.f64 b 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 (*.f64 b 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))

simplify319.0ms (2.7%)

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 (/ (+ (* -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)

eval147.0ms (1.2%)

Compiler

Compiled 34775 to 2959 computations (91.5% saved)

prune111.0ms (0.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1015161031
Fresh000
Picked112
Done000
Total1016171033
Accuracy
100.0%
Counts
1033 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.4%
(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))))))
▶79.5%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64)) b) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b 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))
77.9%
(/.f64 (/.f64 (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b))) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
57.7%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
65.3%
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
✓85.1%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
85.1%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (*.f64 (/.f64 #s(literal 1 binary64) b) (PI.f64))) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
45.2%
(/.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))
▶52.7%
(/.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))))
85.2%
(+.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))))))
▶45.5%
(*.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)))
▶99.7%
(*.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))))
50.5%
(*.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)))
86.4%
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
49.5%
(*.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 715 to 430 computations (39.9% saved)

simplify224.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (PI.f64) b) a)
✓cost-diff0
(-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64))
✓cost-diff0
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64)) b) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
✓cost-diff128
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64)) b)
✓cost-diff0
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a))
✓cost-diff0
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
✓cost-diff128
(/.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
3762×*-lowering-*.f32
3762×*-lowering-*.f64
2426×+-lowering-+.f64
2426×+-lowering-+.f32
1746×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035244
196243
2293243
31022243
43745243
57913243
08179243
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)
(/ (/ (- (/ (* (PI) b) a) (PI)) b) (* (+ b a) (* 2 (- b a))))
(/ (- (/ (* (PI) b) a) (PI)) b)
(- (/ (* (PI) b) a) (PI))
(/ (* (PI) b) a)
(* (PI) b)
(PI)
b
a
(* (+ 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 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b))))
(/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (PI))
(*.f64 (PI.f64) #s(literal 1/2 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) a) a) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
(/ (/ (* (PI) -1/2) a) a)
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a a))
(/ (* (PI) -1/2) a)
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))
(* (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 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.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)
(/ (/ (- (/ (* (PI) b) a) (PI)) b) (* (+ b a) (* 2 (- b a))))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b))))
(/ (- (/ (* (PI) b) a) (PI)) b)
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(- (/ (* (PI) b) a) (PI))
(*.f64 (PI.f64) (+.f64 (/.f64 b a) #s(literal -1 binary64)))
(/ (* (PI) b) a)
(/.f64 (*.f64 (PI.f64) b) a)
(* (PI) b)
(*.f64 (PI.f64) b)
(PI)
(PI.f64)
b
a
(* (+ 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)

localize243.0ms (2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 (*.f64 (PI.f64) b) a)
✓accuracy99.6%
(*.f64 (PI.f64) b)
✓accuracy88.4%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64)) b)
✓accuracy85.1%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (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 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy99.5%
(/.f64 (PI.f64) a)
✓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)
✓accuracy99.5%
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)
✓accuracy93.1%
(*.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)
✓accuracy98.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
✓accuracy88.5%
(*.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))
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy99.5%
(/.f64 (PI.f64) a)
✓accuracy99.3%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
Results
188.0ms256×0valid
Compiler

Compiled 266 to 36 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 24.0ms (51.1% of total)
ival-mult: 14.0ms (29.8% of total)
ival-sub: 5.0ms (10.6% 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)

series41.0ms (0.3%)

Counts
22 → 396
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 (/ 1 (* 2 (- b a)))>
#<alt (* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1 (* 2 (- b a))))>
#<alt (/ (- (/ (PI) a) (/ (PI) b)) (+ b a))>
#<alt (/ (- (/ (* (PI) b) a) (PI)) b)>
#<alt (/ (/ (- (/ (* (PI) b) a) (PI)) b) (* (+ b a) (* 2 (- b a))))>
#<alt (- (/ (* (PI) b) a) (PI))>
#<alt (/ (* (PI) b) a)>
#<alt (/ (PI) b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (* (PI) 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)))>
#<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) (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) (* -1 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a)))) (* 1/2 (/ (+ (* -1 (* a (PI))) (* -1 (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a)))))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* a (PI))) (* -1 (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a))))) (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (* (+ a (* -1 a)) (- (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) a)))))))) b))) b)) (* 1/2 (- (PI) (* -1 (/ (* (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 (PI))>
#<alt (- (/ (* b (PI)) a) (PI))>
#<alt (- (/ (* b (PI)) a) (PI))>
#<alt (- (/ (* b (PI)) a) (PI))>
#<alt (/ (* b (PI)) a)>
#<alt (* b (+ (* -1 (/ (PI) b)) (/ (PI) a)))>
#<alt (* b (+ (* -1 (/ (PI) b)) (/ (PI) a)))>
#<alt (* b (+ (* -1 (/ (PI) b)) (/ (PI) a)))>
#<alt (/ (* b (PI)) a)>
#<alt (* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) b))))>
#<alt (* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) b))))>
#<alt (* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) b))))>
#<alt (/ (* b (PI)) a)>
#<alt (/ (+ (* -1 (* a (PI))) (* b (PI))) a)>
#<alt (/ (+ (* -1 (* a (PI))) (* b (PI))) a)>
#<alt (/ (+ (* -1 (* a (PI))) (* b (PI))) a)>
#<alt (* -1 (PI))>
#<alt (- (/ (* b (PI)) a) (PI))>
#<alt (- (/ (* b (PI)) a) (PI))>
#<alt (- (/ (* b (PI)) a) (PI))>
#<alt (* -1 (PI))>
#<alt (- (/ (* b (PI)) a) (PI))>
#<alt (- (/ (* b (PI)) a) (PI))>
#<alt (- (/ (* b (PI)) a) (PI))>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (* b (PI)) a)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (* b (PI))>
#<alt (* b (PI))>
#<alt (* b (PI))>
#<alt (* b (PI))>
#<alt (* b (PI))>
#<alt (* b (PI))>
#<alt (* b (PI))>
#<alt (* b (PI))>
#<alt (* b (PI))>
#<alt (* b (PI))>
#<alt (* b (PI))>
#<alt (* b (PI))>
Calls

99 calls:

TimeVariablePointExpression
9.0ms
a
@0
(/ (* 1/2 (PI)) (* (* a a) b))
3.0ms
a
@-inf
(/ (* (PI) b) a)
1.0ms
b
@0
(/ (* 1/2 (PI)) (* (* a a) b))
1.0ms
b
@-inf
(/ (/ (- (/ (* (PI) b) a) (PI)) b) (* (+ b a) (* 2 (- b a))))
1.0ms
a
@0
(/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a)))

rewrite487.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
6164×*-lowering-*.f32
6164×*-lowering-*.f64
3950×/-lowering-/.f32
3950×/-lowering-/.f64
2104×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035166
1251157
22846157
010998157
Stop Event
1×iter limit
1×node limit
Counts
22 → 1113
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)
(/ 1 (* 2 (- b a)))
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1 (* 2 (- b a))))
(/ (- (/ (PI) a) (/ (PI) b)) (+ b a))
(/ (- (/ (* (PI) b) a) (PI)) b)
(/ (/ (- (/ (* (PI) b) a) (PI)) b) (* (+ b a) (* 2 (- b a))))
(- (/ (* (PI) b) a) (PI))
(/ (* (PI) b) a)
(/ (PI) b)
(- (/ 1 a) (/ 1 b))
(* (PI) b)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (/.f64 (/.f64 (PI.f64) b) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b)))))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 a b)))
(-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (-.f64 #s(literal 0 binary64) (+.f64 a b))))
(neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (-.f64 b a) #s(literal -2 binary64))) (+.f64 a b)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b))))
(/.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 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a)))) #s(literal 1 binary64)))
(/.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 a b))))
(/.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 a b)) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 b a) #s(literal -2 binary64)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 (-.f64 b a) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))))))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (*.f64 a b)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (-.f64 b a) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 a b)))
(/.f64 (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) #s(literal -2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (+.f64 (/.f64 (PI.f64) (*.f64 a (/.f64 a (PI.f64)))) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (-.f64 (/.f64 (PI.f64) (*.f64 a (/.f64 a (PI.f64)))) (/.f64 (PI.f64) (*.f64 b (/.f64 b (PI.f64))))) (*.f64 (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) #s(literal 1 binary64)) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 b a) (+.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 (-.f64 b a) (+.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))) (*.f64 (-.f64 b a) (-.f64 #s(literal 0 binary64) (+.f64 a b))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))) (*.f64 (*.f64 (-.f64 b a) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 a b))))
(/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -1 binary64)) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (*.f64 (-.f64 b a) #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))) (*.f64 (-.f64 b a) #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (-.f64 b a))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) #s(literal 2 binary64)) (-.f64 b a))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (-.f64 b a)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) #s(literal 1 binary64)) (+.f64 a b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))) (-.f64 #s(literal 0 binary64) (+.f64 a b)))
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) #s(literal 1/2 binary64)) (-.f64 b a))
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(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(+.f64 (+.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)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (fma.f64 (neg.f64 (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b)))
(+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))
(+.f64 (fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(-.f64 (/.f64 b (*.f64 a b)) (/.f64 a (*.f64 a b)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) a) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(fma.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 a b)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.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 #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) (-.f64 #s(literal 0 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) b))) a) (*.f64 a (neg.f64 (-.f64 #s(literal 0 binary64) b))))
(/.f64 (-.f64 b (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) b))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) b))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) (neg.f64 (-.f64 #s(literal 0 binary64) b))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.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) (neg.f64 (-.f64 #s(literal 0 binary64) b))))
(/.f64 (-.f64 (*.f64 b (*.f64 a b)) (*.f64 a (*.f64 a b))) (*.f64 (*.f64 a b) (*.f64 a b)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) a) a) (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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) 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 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(pow.f64 (/.f64 (*.f64 a b) (-.f64 b a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) a) a) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(*.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (PI.f64) b)
(*.f64 b (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) 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)) b))
(*.f64 (*.f64 b (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 b (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

simplify336.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
3752×*-lowering-*.f32
3752×*-lowering-*.f64
2204×+-lowering-+.f64
2204×+-lowering-+.f32
1962×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05446205
118625055
271125026
084135026
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
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))
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(/ (+ (* 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 (PI))
(- (/ (* b (PI)) a) (PI))
(- (/ (* b (PI)) a) (PI))
(- (/ (* b (PI)) a) (PI))
(/ (* b (PI)) a)
(* b (+ (* -1 (/ (PI) b)) (/ (PI) a)))
(* b (+ (* -1 (/ (PI) b)) (/ (PI) a)))
(* b (+ (* -1 (/ (PI) b)) (/ (PI) a)))
(/ (* b (PI)) a)
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) b))))
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) b))))
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) b))))
(/ (* b (PI)) a)
(/ (+ (* -1 (* a (PI))) (* b (PI))) a)
(/ (+ (* -1 (* a (PI))) (* b (PI))) a)
(/ (+ (* -1 (* a (PI))) (* b (PI))) a)
(* -1 (PI))
(- (/ (* b (PI)) a) (PI))
(- (/ (* b (PI)) a) (PI))
(- (/ (* b (PI)) a) (PI))
(* -1 (PI))
(- (/ (* b (PI)) a) (PI))
(- (/ (* b (PI)) a) (PI))
(- (/ (* b (PI)) a) (PI))
(/ (* 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) 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))
(* b (PI))
(* b (PI))
(* b (PI))
(* b (PI))
(* b (PI))
(* b (PI))
(* b (PI))
(* b (PI))
(* b (PI))
(* b (PI))
(* b (PI))
(* b (PI))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) b)) a)
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a (+.f64 (/.f64 (-.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 (/.f64 (PI.f64) b) b))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) b)) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (+.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 (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (+.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 #s(literal 0 binary64) (*.f64 b b))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) b)) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (+.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 (*.f64 a #s(literal -1/2 binary64)) (+.f64 (-.f64 (*.f64 (+.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 #s(literal 0 binary64) (*.f64 b b))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 (-.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 #s(literal 0 binary64) (*.f64 b b))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b))))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) b)
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b))) a)) (*.f64 a a))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b))) a) (/.f64 (+.f64 (*.f64 (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b)) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b))) (*.f64 a a)))) (*.f64 a a))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b))) a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b)) #s(literal 0 binary64)) (*.f64 (PI.f64) b)) (*.f64 a a)) (/.f64 (-.f64 (+.f64 (*.f64 (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b)) #s(literal 0 binary64)) (*.f64 (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b)))) (*.f64 a (*.f64 a a)))))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) b)
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b) (/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b)) #s(literal 0 binary64)) (*.f64 (PI.f64) b)) a)))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b))) (/.f64 (+.f64 (+.f64 (*.f64 (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b)) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (*.f64 (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b)) #s(literal 0 binary64)) (*.f64 (PI.f64) #s(literal 0 binary64))) (*.f64 b (*.f64 b (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b))))) a))) a)) a)) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) b)
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b (+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (*.f64 a a))) a) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 (PI.f64) (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) (*.f64 b (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 a a)) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64)))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 (*.f64 b #s(literal -1/2 binary64)) (+.f64 (-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 a a)) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 b (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (*.f64 a a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 a a)) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 a a))))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) b)) a)
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b)) (*.f64 b b)))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b))) (/.f64 (+.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))) (*.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 (/.f64 (PI.f64) b) b)) a)
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
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(+.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))
(* b (PI))
(*.f64 (PI.f64) b)
(* b (PI))
(*.f64 (PI.f64) b)
(* b (PI))
(*.f64 (PI.f64) b)
(* b (PI))
(*.f64 (PI.f64) b)
(* b (PI))
(*.f64 (PI.f64) b)
(* b (PI))
(*.f64 (PI.f64) b)
(* b (PI))
(*.f64 (PI.f64) b)
(* b (PI))
(*.f64 (PI.f64) b)
(* b (PI))
(*.f64 (PI.f64) b)
(* b (PI))
(*.f64 (PI.f64) b)
(* b (PI))
(*.f64 (PI.f64) b)
(* b (PI))
(*.f64 (PI.f64) b)

eval284.0ms (2.4%)

Compiler

Compiled 54909 to 5748 computations (89.5% saved)

prune222.0ms (1.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New2052112063
Fresh8311
Picked415
Done101
Total2065152080
Accuracy
100.0%
Counts
2080 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.7%
(/.f64 (/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) a) b)) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
72.9%
(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
99.6%
(/.f64 (/.f64 (-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
57.7%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
▶99.7%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (+.f64 b a))
▶65.3%
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
▶59.2%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
✓52.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
98.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a)))
52.1%
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))
69.6%
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
52.1%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
59.1%
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
▶59.1%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
▶49.5%
(*.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 437 to 300 computations (31.4% saved)

simplify195.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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 b b)))
✓cost-diff128
(*.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)))
✓cost-diff0
(*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) a)
✓cost-diff0
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
✓cost-diff0
(*.f64 a (*.f64 a b))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a 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
3586×*-lowering-*.f32
3586×*-lowering-*.f64
1136×neg-lowering-neg.f64
1136×neg-lowering-neg.f32
1122×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031163
183158
2248158
3800158
42640158
55756158
08256158
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
(/ (* (PI) 1/2) (* a (* a b)))
(* (PI) 1/2)
(PI)
1/2
(* a (* a b))
a
(* a b)
b
(/ (/ (PI) a) (* (+ b a) (* 2 (- b a))))
(/ (PI) a)
(PI)
a
(* (+ b a) (* 2 (- b a)))
(+ b a)
b
(* 2 (- b a))
2
(- b a)
(* (* (/ (PI) 2) (/ 1 (* b b))) (- (/ 1 a) (/ 1 b)))
(* (/ (PI) 2) (/ 1 (* b b)))
(/ (PI) 2)
(PI)
2
(/ 1 (* b b))
1
(* b b)
b
(- (/ 1 a) (/ 1 b))
(/ 1 a)
a
(/ 1 b)
Outputs
(/ (/ (* 1/2 (/ (PI) b)) a) (+ b a))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) #s(literal 2 binary64)) a)
(/ (* 1/2 (/ (PI) b)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 a #s(literal 2 binary64)))
(* 1/2 (/ (PI) b))
(/.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64))
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 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a) b)
(/ 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
(/ (* (PI) 1/2) (* a (* a b)))
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a) b)
(* (PI) 1/2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* a (* a b))
(*.f64 a (*.f64 b a))
a
(* a b)
(*.f64 b a)
b
(/ (/ (PI) a) (* (+ b a) (* 2 (- b a))))
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 (-.f64 a b) #s(literal -2 binary64))))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(* (+ b a) (* 2 (- b a)))
(*.f64 (+.f64 b a) (*.f64 (-.f64 a b) #s(literal -2 binary64)))
(+ b a)
(+.f64 b a)
b
(* 2 (- b a))
(*.f64 (-.f64 a b) #s(literal -2 binary64))
2
#s(literal 2 binary64)
(- b a)
(-.f64 b a)
(* (* (/ (PI) 2) (/ 1 (* b b))) (- (/ 1 a) (/ 1 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) b) b) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
(* (/ (PI) 2) (/ 1 (* b b)))
(/.f64 (/.f64 (/.f64 (PI.f64) b) b) #s(literal 2 binary64))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(/ 1 (* b b))
(/.f64 (/.f64 #s(literal 1 binary64) b) b)
1
#s(literal 1 binary64)
(* b b)
(*.f64 b b)
b
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
a
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)

localize425.0ms (3.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓accuracy99.7%
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (*.f64 b b))
✓accuracy93.1%
(*.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)))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (-.f64 b a))
✓accuracy100.0%
(PI.f64)
✓accuracy99.5%
(/.f64 (PI.f64) a)
✓accuracy92.1%
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
✓accuracy100.0%
(*.f64 a b)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 a (*.f64 a b))
✓accuracy98.8%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
✓accuracy100.0%
(*.f64 a b)
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
✓accuracy99.3%
(/.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
353.0ms256×0valid
Compiler

Compiled 179 to 32 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-div: 34.0ms (61.3% of total)
ival-mult: 15.0ms (27% of total)
ival-sub: 3.0ms (5.4% of total)
ival-pi: 1.0ms (1.8% of total)
ival-add: 1.0ms (1.8% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series29.0ms (0.2%)

Counts
21 → 360
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 (/ (* (PI) 1/2) (* a (* a b)))>
#<alt (* (PI) 1/2)>
#<alt (* a (* a b))>
#<alt (/ (/ (PI) a) (* (+ b a) (* 2 (- b a))))>
#<alt (/ (PI) a)>
#<alt (* (+ b a) (* 2 (- b a)))>
#<alt (* (* (/ (PI) 2) (/ 1 (* b b))) (- (/ 1 a) (/ 1 b)))>
#<alt (* (/ (PI) 2) (/ 1 (* b b)))>
#<alt (/ (PI) 2)>
#<alt (* a b)>
#<alt (* 2 (- b a))>
#<alt (/ 1 (* b b))>
#<alt (- (/ 1 a) (/ 1 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) (* 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) (* (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 (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (* (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))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))))))) a)>
#<alt (* -1/2 (/ (PI) (pow a 3)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 3))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 3))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 3))>
#<alt (* -1/2 (/ (PI) (pow a 3)))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* 1/2 (PI))) (pow a 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a)) (* 1/2 (* (PI) (+ b (* -1 b))))) a)) (* 1/2 (PI))) (pow a 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a)) (* 1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))))) a)) (* 1/2 (* (PI) (+ b (* -1 b))))) a)) (* 1/2 (PI))) (pow a 3)))>
#<alt (* -1/2 (/ (PI) (pow a 3)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 5))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 7)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))))))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (* 1/2 (/ (PI) a)))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* a (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (/ (PI) a))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)) b)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<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 (* -2 (pow a 2))>
#<alt (+ (* -2 (pow a 2)) (* 2 (* b (+ a (* -1 a)))))>
#<alt (+ (* -2 (pow a 2)) (* b (+ (* 2 b) (* 2 (+ a (* -1 a))))))>
#<alt (+ (* -2 (pow a 2)) (* b (+ (* 2 b) (* 2 (+ a (* -1 a))))))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (* 2 (/ (+ a (* -1 a)) b))))>
#<alt (* (pow b 2) (+ 2 (+ (* -2 (/ (pow a 2) (pow b 2))) (* 2 (/ (+ a (* -1 a)) b)))))>
#<alt (* (pow b 2) (+ 2 (+ (* -2 (/ (pow a 2) (pow b 2))) (* 2 (/ (+ a (* -1 a)) b)))))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (* 2 (/ (+ a (* -1 a)) b))))>
#<alt (* (pow b 2) (+ 2 (* -1 (/ (+ (* -2 (+ a (* -1 a))) (* 2 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 2 (* -1 (/ (+ (* -2 (+ a (* -1 a))) (* 2 (/ (pow a 2) b))) b))))>
#<alt (* 2 (pow b 2))>
#<alt (+ (* 2 (* a (+ b (* -1 b)))) (* 2 (pow b 2)))>
#<alt (+ (* 2 (pow b 2)) (* a (+ (* -2 a) (* 2 (+ b (* -1 b))))))>
#<alt (+ (* 2 (pow b 2)) (* a (+ (* -2 a) (* 2 (+ b (* -1 b))))))>
#<alt (* -2 (pow a 2))>
#<alt (* (pow a 2) (- (* 2 (/ (+ b (* -1 b)) a)) 2))>
#<alt (* (pow a 2) (- (+ (* 2 (/ (+ b (* -1 b)) a)) (* 2 (/ (pow b 2) (pow a 2)))) 2))>
#<alt (* (pow a 2) (- (+ (* 2 (/ (+ b (* -1 b)) a)) (* 2 (/ (pow b 2) (pow a 2)))) 2))>
#<alt (* -2 (pow a 2))>
#<alt (* (pow a 2) (- (* -2 (/ (+ b (* -1 b)) a)) 2))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (* 2 (+ b (* -1 b)))) a)) 2))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (* 2 (+ b (* -1 b)))) a)) 2))>
#<alt (* -1/2 (/ (PI) (pow b 3)))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (* -1/2 (/ (PI) (pow b 3)))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (* -1/2 (/ (PI) (pow b 3)))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 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 (* -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 (* 2 b)>
#<alt (+ (* -2 a) (* 2 b))>
#<alt (+ (* -2 a) (* 2 b))>
#<alt (+ (* -2 a) (* 2 b))>
#<alt (* -2 a)>
#<alt (* a (- (* 2 (/ b a)) 2))>
#<alt (* a (- (* 2 (/ b a)) 2))>
#<alt (* a (- (* 2 (/ b a)) 2))>
#<alt (* -2 a)>
#<alt (* -1 (* a (+ 2 (* -2 (/ b a)))))>
#<alt (* -1 (* a (+ 2 (* -2 (/ b a)))))>
#<alt (* -1 (* a (+ 2 (* -2 (/ b a)))))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<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
5.0ms
a
@-inf
(/ (* 1/2 (/ (PI) b)) a)
2.0ms
b
@inf
(* (+ b a) (* 2 (- b a)))
1.0ms
a
@0
(/ (/ (PI) a) (* (+ b a) (* 2 (- b a))))
1.0ms
b
@inf
(/ (/ (PI) a) (* (+ b a) (* 2 (- b a))))
1.0ms
b
@0
(/ (/ (PI) a) (* (+ b a) (* 2 (- b a))))

rewrite456.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
5320×/-lowering-/.f32
5320×/-lowering-/.f64
3018×*-lowering-*.f32
3018×*-lowering-*.f64
1396×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031123
1213116
22018116
08247116
Stop Event
1×iter limit
1×node limit
Counts
21 → 1158
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)
(/ (* (PI) 1/2) (* a (* a b)))
(* (PI) 1/2)
(* a (* a b))
(/ (/ (PI) a) (* (+ b a) (* 2 (- b a))))
(/ (PI) a)
(* (+ b a) (* 2 (- b a)))
(* (* (/ (PI) 2) (/ 1 (* b b))) (- (/ 1 a) (/ 1 b)))
(* (/ (PI) 2) (/ 1 (* b b)))
(/ (PI) 2)
(* a b)
(* 2 (- b a))
(/ 1 (* b b))
(- (/ 1 a) (/ 1 b))
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)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) a))) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (*.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (+.f64 b a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a (+.f64 b a)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (neg.f64 (*.f64 a (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (+.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) #s(literal 2 binary64)) (*.f64 (*.f64 a (+.f64 b a)) b))
(/.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 (*.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 b a) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (+.f64 b a)) b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) a)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b a)) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b a) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b a))))
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) b) (neg.f64 (*.f64 a (+.f64 b a))))
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) b) (*.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (-.f64 #s(literal 0 binary64) (+.f64 b a)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)))))
(/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (neg.f64 (*.f64 (*.f64 a (+.f64 b a)) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.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) #s(literal -2 binary64)) b) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b a)))
(/.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) b)) (neg.f64 (*.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) b)) (neg.f64 (neg.f64 (*.f64 a (+.f64 b a)))))
(/.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)
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(*.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))))

simplify210.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
2258×*-lowering-*.f32
2258×*-lowering-*.f64
1480×+-lowering-+.f64
1480×+-lowering-+.f32
998×distribute-rgt-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03953251
112502828
252962594
092712594
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
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) (* (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) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (* (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))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))))))) a)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 3))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 3))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 3))
(* -1/2 (/ (PI) (pow a 3)))
(* -1 (/ (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* 1/2 (PI))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a)) (* 1/2 (* (PI) (+ b (* -1 b))))) a)) (* 1/2 (PI))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a)) (* 1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))))) a)) (* 1/2 (* (PI) (+ b (* -1 b))))) a)) (* 1/2 (PI))) (pow a 3)))
(* -1/2 (/ (PI) (pow a 3)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 5))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 7)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))))))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (* 1/2 (/ (PI) a)))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* a (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (/ (PI) a))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)) b)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 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)
(* -2 (pow a 2))
(+ (* -2 (pow a 2)) (* 2 (* b (+ a (* -1 a)))))
(+ (* -2 (pow a 2)) (* b (+ (* 2 b) (* 2 (+ a (* -1 a))))))
(+ (* -2 (pow a 2)) (* b (+ (* 2 b) (* 2 (+ a (* -1 a))))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 2 (/ (+ a (* -1 a)) b))))
(* (pow b 2) (+ 2 (+ (* -2 (/ (pow a 2) (pow b 2))) (* 2 (/ (+ a (* -1 a)) b)))))
(* (pow b 2) (+ 2 (+ (* -2 (/ (pow a 2) (pow b 2))) (* 2 (/ (+ a (* -1 a)) b)))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 2 (/ (+ a (* -1 a)) b))))
(* (pow b 2) (+ 2 (* -1 (/ (+ (* -2 (+ a (* -1 a))) (* 2 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 2 (* -1 (/ (+ (* -2 (+ a (* -1 a))) (* 2 (/ (pow a 2) b))) b))))
(* 2 (pow b 2))
(+ (* 2 (* a (+ b (* -1 b)))) (* 2 (pow b 2)))
(+ (* 2 (pow b 2)) (* a (+ (* -2 a) (* 2 (+ b (* -1 b))))))
(+ (* 2 (pow b 2)) (* a (+ (* -2 a) (* 2 (+ b (* -1 b))))))
(* -2 (pow a 2))
(* (pow a 2) (- (* 2 (/ (+ b (* -1 b)) a)) 2))
(* (pow a 2) (- (+ (* 2 (/ (+ b (* -1 b)) a)) (* 2 (/ (pow b 2) (pow a 2)))) 2))
(* (pow a 2) (- (+ (* 2 (/ (+ b (* -1 b)) a)) (* 2 (/ (pow b 2) (pow a 2)))) 2))
(* -2 (pow a 2))
(* (pow a 2) (- (* -2 (/ (+ b (* -1 b)) a)) 2))
(* (pow a 2) (- (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (* 2 (+ b (* -1 b)))) a)) 2))
(* (pow a 2) (- (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (* 2 (+ b (* -1 b)))) a)) 2))
(* -1/2 (/ (PI) (pow b 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(* 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))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 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))) (pow b 2))
(/ (+ (* -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 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 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)
(* -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)))
(* 2 b)
(+ (* -2 a) (* 2 b))
(+ (* -2 a) (* 2 b))
(+ (* -2 a) (* 2 b))
(* -2 a)
(* a (- (* 2 (/ b a)) 2))
(* a (- (* 2 (/ b a)) 2))
(* a (- (* 2 (/ b a)) 2))
(* -2 a)
(* -1 (* a (+ 2 (* -2 (/ b a)))))
(* -1 (* a (+ 2 (* -2 (/ b a)))))
(* -1 (* a (+ 2 (* -2 (/ b a)))))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 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) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 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) (PI.f64)) a) (*.f64 b b))
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(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b)
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b)
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b)
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b)
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b)
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b)
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b)
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) 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)
(*.f64 a b)
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(+ (* -2 a) (* 2 b))
(*.f64 #s(literal 2 binary64) (-.f64 b a))
(+ (* -2 a) (* 2 b))
(*.f64 #s(literal 2 binary64) (-.f64 b a))
(+ (* -2 a) (* 2 b))
(*.f64 #s(literal 2 binary64) (-.f64 b a))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* b (+ 2 (* -2 (/ a b))))
(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(* b (+ 2 (* -2 (/ a b))))
(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(* b (+ 2 (* -2 (/ a b))))
(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* -1 (* b (- (* 2 (/ a b)) 2)))
(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(* -1 (* b (- (* 2 (/ a b)) 2)))
(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(* -1 (* b (- (* 2 (/ a b)) 2)))
(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(+ (* -2 a) (* 2 b))
(*.f64 #s(literal 2 binary64) (-.f64 b a))
(+ (* -2 a) (* 2 b))
(*.f64 #s(literal 2 binary64) (-.f64 b a))
(+ (* -2 a) (* 2 b))
(*.f64 #s(literal 2 binary64) (-.f64 b a))
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* a (- (* 2 (/ b a)) 2))
(*.f64 a (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) b) a)))
(* a (- (* 2 (/ b a)) 2))
(*.f64 a (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) b) a)))
(* a (- (* 2 (/ b a)) 2))
(*.f64 a (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) b) a)))
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* -1 (* a (+ 2 (* -2 (/ b a)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 b a))))
(* -1 (* a (+ 2 (* -2 (/ b a)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 b a))))
(* -1 (* a (+ 2 (* -2 (/ b a)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 b a))))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 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))

eval270.0ms (2.3%)

Compiler

Compiled 28728 to 3472 computations (87.9% saved)

prune222.0ms (1.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1706101716
Fresh639
Picked505
Done011
Total1717141731
Accuracy
100.0%
Counts
1731 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b a)) (+.f64 b a))
▶99.7%
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) (+.f64 b a))
57.7%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
56.7%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
92.1%
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 a (+.f64 b a)) b))
92.7%
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (*.f64 a (+.f64 b a)))
▶59.1%
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
59.1%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a)
✓52.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64)))))
59.2%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a))
52.1%
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))
▶52.1%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
▶99.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)))
Compiler

Compiled 337 to 242 computations (28.2% saved)

simplify40.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
023139
158139
2156139
3312139
4452139
5543139
6672139
7746139
8772139
9776139
10777139
0777139
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (/ (* (PI) (/ 1/2 b)) a) (+ b a))
(/ (* (PI) (/ 1/2 b)) a)
(* (PI) (/ 1/2 b))
(PI)
(/ 1/2 b)
1/2
b
a
(+ b a)
(* (/ (PI) (* a a)) (/ 1/2 b))
(/ (PI) (* a a))
(PI)
(* a a)
a
(/ 1/2 b)
1/2
b
(/ (/ 1/2 a) (/ (* b a) (PI)))
(/ 1/2 a)
1/2
a
(/ (* b a) (PI))
(* b a)
b
(PI)
(* (/ 1/2 (+ b a)) (/ (PI) (* b a)))
(/ 1/2 (+ b a))
1/2
(+ b a)
b
a
(/ (PI) (* b a))
(PI)
(* b a)
(/ (/ (/ (PI) 2) (* b a)) (+ b a))
(/ (/ (PI) 2) (* b a))
(/ (PI) 2)
(PI)
2
(* b a)
b
a
(+ b a)
Outputs
(/ (/ (* (PI) (/ 1/2 b)) a) (+ b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (PI.f64)))
(/ (* (PI) (/ 1/2 b)) a)
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64)))
(* (PI) (/ 1/2 b))
(/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64)))
(PI)
(PI.f64)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
b
a
(+ b a)
(+.f64 b a)
(* (/ (PI) (* a a)) (/ 1/2 b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b a)) (PI.f64)))
(/ (PI) (* a a))
(/.f64 (PI.f64) (*.f64 a a))
(PI)
(PI.f64)
(* a a)
(*.f64 a a)
a
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
b
(/ (/ 1/2 a) (/ (* b a) (PI)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b 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)
(* (/ 1/2 (+ b a)) (/ (PI) (* b a)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (PI.f64)))
(/ 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) (* b a))
(/.f64 (PI.f64) (*.f64 b a))
(PI)
(PI.f64)
(* b a)
(*.f64 b a)
(/ (/ (/ (PI) 2) (* b a)) (+ b a))
(/.f64 (PI.f64) (*.f64 a (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/ (/ (PI) 2) (* b a))
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 2 binary64))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(* b a)
(*.f64 b a)
b
a
(+ b a)
(+.f64 b a)

localize187.0ms (1.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 b a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b a)) (+.f64 b a))
✓accuracy99.3%
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b a))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)))
✓accuracy99.3%
(/.f64 (PI.f64) (*.f64 b a))
✓accuracy100.0%
(*.f64 b a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(/.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 a a)
✓accuracy100.0%
(PI.f64)
✓accuracy98.9%
(/.f64 (PI.f64) (*.f64 a a))
✓accuracy88.4%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) (+.f64 b a))
✓accuracy99.7%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a)
✓accuracy99.6%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))
Results
145.0ms256×0valid
Compiler

Compiled 146 to 24 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-div: 59.0ms (83.4% of total)
ival-mult: 8.0ms (11.3% of total)
ival-pi: 1.0ms (1.4% of total)
ival-add: 1.0ms (1.4% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

Counts
18 → 336
Calls
Call 1
Inputs
#<alt (/ (/ (* (PI) (/ 1/2 b)) a) (+ b a))>
#<alt (/ (* (PI) (/ 1/2 b)) a)>
#<alt (* (PI) (/ 1/2 b))>
#<alt (PI)>
#<alt (* (/ (PI) (* a a)) (/ 1/2 b))>
#<alt (/ (PI) (* a a))>
#<alt (* a a)>
#<alt (/ (/ 1/2 a) (/ (* b a) (PI)))>
#<alt (/ 1/2 a)>
#<alt (/ (* b a) (PI))>
#<alt (* b a)>
#<alt (* (/ 1/2 (+ b a)) (/ (PI) (* b a)))>
#<alt (/ 1/2 (+ b a))>
#<alt (+ b a)>
#<alt (/ (PI) (* b a))>
#<alt (/ (/ (/ (PI) 2) (* b a)) (+ b a))>
#<alt (/ (/ (PI) 2) (* b a))>
#<alt (/ (PI) 2)>
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 (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 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 (/ 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 (/ (* 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 (/ (* 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)>
#<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 (/ (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) (* (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)))>
Calls

84 calls:

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

rewrite460.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
4314×*-lowering-*.f32
4314×*-lowering-*.f64
3986×/-lowering-/.f32
3986×/-lowering-/.f64
1098×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023102
1160102
21388102
37982102
08088102
Stop Event
1×iter limit
1×node limit
Counts
18 → 1583
Calls
Call 1
Inputs
(/ (/ (* (PI) (/ 1/2 b)) a) (+ b a))
(/ (* (PI) (/ 1/2 b)) a)
(* (PI) (/ 1/2 b))
(PI)
(* (/ (PI) (* a a)) (/ 1/2 b))
(/ (PI) (* a a))
(* a a)
(/ (/ 1/2 a) (/ (* b a) (PI)))
(/ 1/2 a)
(/ (* b a) (PI))
(* b a)
(* (/ 1/2 (+ b a)) (/ (PI) (* b a)))
(/ 1/2 (+ b a))
(+ b a)
(/ (PI) (* b a))
(/ (/ (/ (PI) 2) (* b a)) (+ b a))
(/ (/ (PI) 2) (* b a))
(/ (PI) 2)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (*.f64 a (-.f64 a b))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (*.f64 a (-.f64 a b))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (*.f64 b b)))
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))) b) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 (*.f64 b b) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))))
(+.f64 (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 b b) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))))
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(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a)) (PI.f64))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 b a))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (-.f64 (-.f64 #s(literal 0 binary64) b) a)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) (-.f64 (*.f64 a a) (*.f64 b b))) (-.f64 a b))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 b a))) (/.f64 (PI.f64) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) a)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) b))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 a (PI.f64))) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 b (/.f64 #s(literal 1/2 binary64) a))) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) #s(literal -2 binary64)))
(-.f64 (/.f64 (+.f64 (PI.f64) #s(literal 1 binary64)) (/.f64 b (/.f64 #s(literal 1/2 binary64) a))) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b a))) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) #s(literal -2 binary64)))
(neg.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) #s(literal -2 binary64)))
(neg.f64 (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) #s(literal -2 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) b)))
(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 (PI.f64) (neg.f64 (*.f64 b (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 a (PI.f64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (PI.f64)))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) #s(literal 2 binary64))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 (PI.f64) b) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 (PI.f64) a))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 b (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) b) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a))
(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (/.f64 a (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (/.f64 (PI.f64) a) (/.f64 b #s(literal 1/2 binary64)))
(/.f64 (/.f64 (PI.f64) b) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 a (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) b)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 (PI.f64) a)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 b a))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)) (/.f64 #s(literal -2 binary64) (PI.f64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) #s(literal -2 binary64))
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)
(/.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 b (/.f64 #s(literal 1/2 binary64) a))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 b (/.f64 #s(literal 1/2 binary64) a))))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) b) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 b a)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 b a)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b a)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)) (/.f64 (PI.f64) #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) b) a)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b a)) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (/.f64 b (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 b (/.f64 #s(literal 1/2 binary64) a))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (/.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (pow.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) #s(literal 2 binary64)) (PI.f64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) #s(literal 1 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal -2 binary64)))
(-.f64 (/.f64 (+.f64 (PI.f64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (PI.f64) #s(literal -2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (PI.f64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal -2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))

simplify377.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
6048×*-lowering-*.f32
6048×*-lowering-*.f64
2326×/-lowering-/.f32
2326×/-lowering-/.f64
1372×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02873209
18752987
224632928
375382928
080542928
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 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 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)))
(/ 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)
(/ (* 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 (/ (* 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)
(+ (* -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)))
(/ (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) (* (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)))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) (/.f64 (*.f64 (PI.f64) (*.f64 b (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) a) a) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (/.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) (/.f64 (PI.f64) a)) a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 (PI.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 (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 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) (/.f64 (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 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) a) (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (PI.f64) b)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) (/.f64 (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 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64))) 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 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 a (*.f64 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 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) b) a)
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) b) (*.f64 (PI.f64) (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -1/2 binary64)))) 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 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) b) (*.f64 a (+.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) 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 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) b) (*.f64 a (+.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) b) b) (*.f64 a (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (+.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) 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 #s(literal 1 binary64) (*.f64 b (/.f64 (/.f64 b a) a))) (/.f64 (PI.f64) a)))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 b (/.f64 #s(literal -1/2 binary64) 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 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) a))) a)) a)) (*.f64 a a))
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(/.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 #s(literal 1 binary64) (*.f64 b (/.f64 (/.f64 b a) a))) (/.f64 (PI.f64) a)))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 b (/.f64 #s(literal -1/2 binary64) 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 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) a))) a)) a)) (*.f64 a a))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)

eval334.0ms (2.8%)

Compiler

Compiled 36120 to 3297 computations (90.9% saved)

prune232.0ms (2%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New238362389
Fresh448
Picked325
Done011
Total2390132403
Accuracy
100.0%
Counts
2403 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.4%
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b a)) b)
64.3%
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) b)
59.1%
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) a)
57.7%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
56.7%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
92.0%
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (/.f64 a (PI.f64)))
✓59.1%
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
59.1%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a)
✓52.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
98.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (/.f64 (/.f64 (PI.f64) b) a)))
99.7%
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a)) (PI.f64))
52.1%
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))
✓52.1%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
Compiler

Compiled 821 to 269 computations (67.2% saved)

regimes44.0ms (0.4%)

Counts
45 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) a)
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) b)
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b a)) b)
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a)) (PI.f64))
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (/.f64 (/.f64 (PI.f64) b) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (/.f64 a (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (*.f64 a (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 a (+.f64 b a)) b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (+.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) (+.f64 b a))
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.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 b a) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64)))))
(/.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 (*.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 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))
(*.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 (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 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.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 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) 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) a) (*.f64 (/.f64 #s(literal 1 binary64) b) (PI.f64))) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 (/.f64 (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b))) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64)) b) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 (/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) a) b)) a) (*.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 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
(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 (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)))
12.0ms
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)

regimes21.0ms (0.2%)

Counts
33 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) a)
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) b)
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b a)) b)
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a)) (PI.f64))
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (/.f64 (/.f64 (PI.f64) b) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (/.f64 a (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (*.f64 a (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 a (+.f64 b a)) b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (+.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) (+.f64 b a))
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.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 b a) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64)))))
(/.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 (*.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 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))
(*.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 (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 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
Outputs
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (+.f64 b a))
Calls

2 calls:

10.0ms
a
9.0ms
b
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.1%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) a)
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) b)
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b a)) b)
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a)) (PI.f64))
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b a) (/.f64 (/.f64 (PI.f64) b) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (/.f64 a (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (*.f64 a (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 a (+.f64 b a)) b))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a)) (PI.f64))
Calls

2 calls:

6.0ms
b
6.0ms
a
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

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

2 calls:

5.0ms
b
5.0ms
a
Results
AccuracySegmentsBranch
99.6%1b
99.6%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

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

2 calls:

5.0ms
a
4.0ms
b
Results
AccuracySegmentsBranch
91.8%2a
90.2%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) a)
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) b)
Outputs
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a))
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) b)
Calls

1 calls:

4.0ms
a
Results
AccuracySegmentsBranch
91.7%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.2%)

Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) a)
Outputs
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
Calls

2 calls:

22.0ms
b
4.0ms
a
Results
AccuracySegmentsBranch
83.6%2b
85.1%2a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
Outputs
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b))
Calls

1 calls:

3.0ms
a
Results
AccuracySegmentsBranch
84.1%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
Outputs
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a))
Calls

2 calls:

3.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
59.2%1b
59.2%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
Outputs
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
Calls

2 calls:

2.0ms
a
2.0ms
b
Results
AccuracySegmentsBranch
59.1%1b
59.1%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
a
1.0ms
b
Results
AccuracySegmentsBranch
59.1%1b
59.1%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
-3.1047715457724313e-6
-5.38161955499676e-8
Results
12.0ms112×0valid
Compiler

Compiled 196 to 145 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (38.4% of total)
ival-mult: 3.0ms (38.4% of total)
ival-sub: 1.0ms (12.8% of total)
ival-pi: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
-3.1047715457724313e-6
-5.38161955499676e-8
Results
14.0ms112×0valid
Compiler

Compiled 196 to 145 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (38.7% of total)
ival-mult: 3.0ms (38.7% of total)
ival-sub: 1.0ms (12.9% of total)
ival-pi: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
-3.1047715457724313e-6
-5.38161955499676e-8
Results
12.0ms112×0valid
Compiler

Compiled 196 to 145 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (38.3% of total)
ival-mult: 3.0ms (38.3% of total)
ival-sub: 1.0ms (12.8% of total)
ival-pi: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
-3.1047715457724313e-6
-5.38161955499676e-8
Results
13.0ms112×0valid
Compiler

Compiled 196 to 145 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (46.3% of total)
ival-div: 3.0ms (34.7% of total)
ival-sub: 1.0ms (11.6% of total)
ival-pi: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify12.0ms (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
056165
173165
285165
393165
499165
5101165
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))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a)) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)))
(if (<=.f64 a #s(literal -7366891713276647/4722366482869645213696 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b a)) b))
(if (<=.f64 a #s(literal -146393360968959/2361183241434822606848 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a)) (/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) b))
(if (<=.f64 a #s(literal -8689154328480147/9444732965739290427392 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a))
(if (<=.f64 a #s(literal -944473296573929/2361183241434822606848 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.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))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a)) (PI.f64))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (*.f64 a b)))
(if (<=.f64 a #s(literal -7366891713276647/4722366482869645213696 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 b a)) b))
(if (<=.f64 a #s(literal -7366891713276647/4722366482869645213696 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 a b) (PI.f64)))) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 a b)) b))
(if (<=.f64 a #s(literal -146393360968959/2361183241434822606848 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a)) (/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) b))
(if (<=.f64 a #s(literal -146393360968959/2361183241434822606848 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 a b) (PI.f64)))) (/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) b))
(if (<=.f64 a #s(literal -8689154328480147/9444732965739290427392 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a))
(if (<=.f64 a #s(literal -8689154328480147/9444732965739290427392 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 a b) (PI.f64)))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) b) a))
(if (<=.f64 a #s(literal -944473296573929/2361183241434822606848 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b b)))
(if (<=.f64 a #s(literal -944473296573929/2361183241434822606848 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 a b) (PI.f64)))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 a b) (PI.f64))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))

soundness2.7s (22.6%)

Rules
6164×*-lowering-*.f32
6164×*-lowering-*.f64
6048×*-lowering-*.f32
6048×*-lowering-*.f64
5320×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023102
1160102
21388102
37982102
08088102
02367
119067
2208267
0886267
05446205
118625055
271125026
084135026
02873209
18752987
224632928
375382928
080542928
035166
1251157
22846157
010998157
031123
1213116
22018116
08247116
03953251
112502828
252962594
092712594
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
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 577 to 351 computations (39.2% saved)

preprocess59.0ms (0.5%)

Remove

(sort a b)

Compiler

Compiled 646 to 306 computations (52.6% saved)

end0.0ms (0%)

Profiling

Loading profile data...