NMSE Section 6.1 mentioned, B

Time bar (total: 11.9s)

analyze119.0ms (1%)

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: 69.0ms
ival-mult: 28.0ms (40.6% of total)
ival-div: 24.0ms (34.8% of total)
ival-sub: 11.0ms (15.9% of total)
ival-pi: 4.0ms (5.8% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

sample1.2s (9.9%)

Results
886.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 651.0ms
ival-mult: 258.0ms (39.6% of total)
ival-div: 254.0ms (39% of total)
ival-sub: 85.0ms (13.1% of total)
ival-pi: 38.0ms (5.8% of total)
const: 13.0ms (2% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess238.0ms (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)

explain145.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
480-2(-4.270951501671884e+155 4.698464823016781e-307)(*.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)))
130-0-(-.f64 (*.f64 b b) (*.f64 a a))
20-0-(/.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
75.0ms512×0valid
Compiler

Compiled 183 to 47 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 17.0ms (43.2% of total)
ival-div: 14.0ms (35.6% of total)
ival-sub: 5.0ms (12.7% of total)
ival-pi: 2.0ms (5.1% of total)
const: 1.0ms (2.5% 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
▶83.1%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
▶76.7%
(*.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)

simplify179.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) a)
✓cost-diff0
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff128
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
✓cost-diff256
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Rules
3368×*-lowering-*.f32
3368×*-lowering-*.f64
1992×+-lowering-+.f64
1992×+-lowering-+.f32
1276×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

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

localize103.0ms (0.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy83.1%
(/.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))))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
✓accuracy95.4%
(-.f64 (*.f64 b b) (*.f64 a a))
✓accuracy83.6%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
73.0ms256×0valid
Compiler

Compiled 134 to 24 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 12.0ms (40.4% of total)
ival-mult: 10.0ms (33.7% of total)
ival-sub: 5.0ms (16.9% of total)
ival-pi: 1.0ms (3.4% of total)
ival-add: 1.0ms (3.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.3%)

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
8.0ms
a
@0
(- (* b b) (* a a))
5.0ms
b
@0
(/ 1 (- (* b b) (* a a)))
2.0ms
b
@0
(/ (- (/ (PI) a) (/ (PI) b)) (* (+ b a) (* 2 (- b a))))
1.0ms
a
@0
(/ (- (/ (PI) a) (/ (PI) b)) (* (+ b a) (* 2 (- b a))))
1.0ms
a
@inf
(/ 1 (- (* b b) (* a a)))

rewrite386.0ms (3.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02367
119067
2208267
0886167
Stop Event
1×iter limit
1×node limit
Counts
10 → 779
Calls
Call 1
Inputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
(/ (PI) 2)
(PI)
(/ (- (/ (PI) a) (/ (PI) b)) (* (+ b a) (* 2 (- b a))))
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(- (* b b) (* a a))
(/ 1 (- (* b b) (* a a)))
(/ (PI) b)
Outputs
(+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))))
(+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 #s(literal -1 binary64) b)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))))
(+.f64 (fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (PI.f64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (PI.f64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (PI.f64))))
(+.f64 (fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (PI.f64) b)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (/.f64 (PI.f64) b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (PI.f64) b))))
(+.f64 (fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (/.f64 (PI.f64) (+.f64 b a))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a)))) (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (/.f64 (PI.f64) (+.f64 b a)))))
(+.f64 (fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))))
(+.f64 (fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))))))
(+.f64 (fma.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (PI.f64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (PI.f64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (PI.f64))))
(+.f64 (fma.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (PI.f64) b)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (/.f64 (PI.f64) b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (PI.f64) b))))
(+.f64 (fma.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (/.f64 (PI.f64) (+.f64 b a))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a)))) (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (/.f64 (PI.f64) (+.f64 b a)))))
(+.f64 (fma.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))))
(+.f64 (fma.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))))))
(+.f64 (fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (PI.f64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (PI.f64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (PI.f64))))
(+.f64 (fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (PI.f64) b)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (/.f64 (PI.f64) b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (PI.f64) b))))
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(fma.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)))
(fma.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a))))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 (-.f64 b a) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a)))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a))))) (+.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a))))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)))) (-.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 b a))
(/.f64 (*.f64 (+.f64 b a) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) (-.f64 b a))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (-.f64 b a)) (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (*.f64 b b) (*.f64 a a))))
(pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
(*.f64 (+.f64 b a) (-.f64 b a))
(*.f64 (-.f64 b a) (+.f64 b a))
(*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a a))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))
(pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 (*.f64 b b) (*.f64 a a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 b b) (*.f64 a a))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 b b) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (PI.f64) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 b (PI.f64))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)))
(/.f64 (PI.f64) b)
(/.f64 #s(literal 1 binary64) (/.f64 b (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (PI.f64))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(pow.f64 (/.f64 b (PI.f64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) b))

simplify291.0ms (2.4%)

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

Useful iterations: 2 (0.0ms)

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

eval166.0ms (1.4%)

Compiler

Compiled 34775 to 2958 computations (91.5% saved)

prune155.0ms (1.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1015161031
Fresh000
Picked202
Done000
Total1017161033
Accuracy
100.0%
Counts
1033 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (neg.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))))
▶99.6%
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) #s(literal 2 binary64)) (-.f64 b a))
58.5%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
61.2%
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
44.1%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) (*.f64 a a))
76.8%
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
73.2%
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 b a)))
76.7%
(/.f64 (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 (*.f64 b b) (*.f64 a a)))) #s(literal 2 binary64))
▶52.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
▶99.0%
(/.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))))
85.1%
(+.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))))))
▶44.4%
(*.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)))
99.5%
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
49.2%
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
▶99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal -1 binary64)))
44.1%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 700 to 426 computations (39.1% saved)

simplify199.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 b a)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 b a))
✓cost-diff6464
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal -1 binary64))
✓cost-diff6592
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal -1 binary64)))
✓cost-diff0
(-.f64 b a)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (-.f64 b a))
✓cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)))
✓cost-diff128
(/.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))))
✓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 (/.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)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) #s(literal 2 binary64)) (-.f64 b a))
Rules
2980×*-lowering-*.f32
2980×*-lowering-*.f64
1794×/-lowering-/.f32
1794×/-lowering-/.f64
1464×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034278
184276
2247276
3748276
42249276
56943276
08157276
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) 2) (- b a))
(/ (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) 2)
(/ (- (/ (PI) a) (/ (PI) b)) (+ b a))
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
a
(/ (PI) b)
b
(+ b a)
2
(- 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
(/ 1 (/ (* 2 (- b a)) (/ (- (/ (PI) a) (/ (PI) b)) (+ b a))))
1
(/ (* 2 (- b a)) (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)))
(* 2 (- b a))
2
(- b a)
b
a
(/ (- (/ (PI) a) (/ (PI) b)) (+ b a))
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
(/ (PI) b)
(+ b a)
(* (/ 1 (+ b a)) (pow (/ (* 2 (- b a)) (- (/ (PI) a) (/ (PI) b))) -1))
(/ 1 (+ b a))
1
(+ b a)
b
a
(pow (/ (* 2 (- b a)) (- (/ (PI) a) (/ (PI) b))) -1)
(/ (* 2 (- b a)) (- (/ (PI) a) (/ (PI) b)))
(* 2 (- b a))
2
(- b a)
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
(/ (PI) b)
-1
Outputs
(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) 2) (- b a))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/ (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) 2)
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) #s(literal 2 binary64)))
(/ (- (/ (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)
2
#s(literal 2 binary64)
(- b a)
(-.f64 b a)
(/ (* 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) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) a)
(/ (/ (* (PI) -1/2) a) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a)
(/ (* (PI) -1/2) a)
(/.f64 (*.f64 (PI.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
(/ 1 (/ (* 2 (- b a)) (/ (- (/ (PI) a) (/ (PI) b)) (+ b a))))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
1
#s(literal 1 binary64)
(/ (* 2 (- b a)) (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))
(* 2 (- b a))
(*.f64 #s(literal 2 binary64) (-.f64 b a))
2
#s(literal 2 binary64)
(- b a)
(-.f64 b a)
b
a
(/ (- (/ (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)
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ b a)
(+.f64 a b)
(* (/ 1 (+ b a)) (pow (/ (* 2 (- b a)) (- (/ (PI) a) (/ (PI) b))) -1))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/ 1 (+ b a))
(/.f64 #s(literal 1 binary64) (+.f64 a b))
1
#s(literal 1 binary64)
(+ b a)
(+.f64 a b)
b
a
(pow (/ (* 2 (- b a)) (- (/ (PI) a) (/ (PI) b))) -1)
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
(/ (* 2 (- b a)) (- (/ (PI) a) (/ (PI) b)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(* 2 (- b a))
(*.f64 #s(literal 2 binary64) (-.f64 b a))
2
#s(literal 2 binary64)
(- b a)
(-.f64 b a)
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
(/ (PI) b)
(/.f64 (PI.f64) b)
-1
#s(literal -1 binary64)

localize194.0ms (1.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal -1 binary64)))
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy99.1%
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal -1 binary64))
✓accuracy99.7%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a))
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy99.2%
(/.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))))
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓accuracy99.9%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a)
✓accuracy99.6%
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)
✓accuracy92.8%
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.4%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
✓accuracy83.7%
(*.f64 (*.f64 a a) b)
✓accuracy99.8%
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) #s(literal 2 binary64)) (-.f64 b a))
✓accuracy99.7%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a))
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy99.6%
(/.f64 (PI.f64) b)
Results
113.0ms256×0valid
Compiler

Compiled 299 to 35 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-div: 24.0ms (48.5% of total)
ival-mult: 12.0ms (24.3% of total)
ival-pow: 6.0ms (12.1% of total)
ival-sub: 4.0ms (8.1% of total)
ival-pi: 1.0ms (2% of total)
ival-add: 1.0ms (2% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series39.0ms (0.3%)

Counts
23 → 432
Calls
Call 1
Inputs
#<alt (/ (/ (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) 2) (- b a))>
#<alt (/ (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) 2)>
#<alt (/ (- (/ (PI) a) (/ (PI) b)) (+ b a))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<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)) (/ (- (/ (PI) a) (/ (PI) b)) (+ b a))))>
#<alt (/ (* 2 (- b a)) (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)))>
#<alt (* 2 (- b a))>
#<alt (- b a)>
#<alt (* (/ 1 (+ b a)) (pow (/ (* 2 (- b a)) (- (/ (PI) a) (/ (PI) b))) -1))>
#<alt (pow (/ (* 2 (- b a)) (- (/ (PI) a) (/ (PI) b))) -1)>
#<alt (/ 1 (+ b a))>
#<alt (+ b a)>
#<alt (/ (PI) b)>
#<alt (/ (PI) a)>
#<alt (- (/ 1 a) (/ 1 b))>
Outputs
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
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#<alt (* (pow b 2) (+ (* 2 (/ a (PI))) (+ (* 2 (/ (- (* -1 (/ (pow a 3) (PI))) (* -1 (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))))) (pow b 2))) (* 2 (/ (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI)))) b)))))>
#<alt (* (pow b 2) (+ (* 2 (/ a (PI))) (+ (* 2 (/ (* a (- (* -1 (/ (pow a 3) (PI))) (* -1 (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI)))))))) (pow b 3))) (+ (* 2 (/ (- (* -1 (/ (pow a 3) (PI))) (* -1 (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))))) (pow b 2))) (* 2 (/ (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI)))) b))))))>
#<alt (* 2 (/ (* a (pow b 2)) (PI)))>
#<alt (* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI)))) b))))>
#<alt (* (pow b 2) (+ (* -1 (/ (+ (* -2 (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (* 2 (/ (- (/ (pow a 3) (PI)) (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI)))))) b))) b)) (* 2 (/ a (PI)))))>
#<alt (* (pow b 2) (+ (* -1 (/ (+ (* -2 (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))) (* -1 (/ (+ (* -2 (- (/ (pow a 3) (PI)) (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))))) (* -2 (/ (* a (- (/ (pow a 3) (PI)) (* a (- (/ (* a (+ a (* -1 a))) (PI)) (* -1 (/ (pow a 2) (PI))))))) b))) b))) b)) (* 2 (/ a (PI)))))>
#<alt (* 2 (/ (* a (pow b 2)) (PI)))>
#<alt (* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))>
#<alt (* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))>
#<alt (* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI)))) a))))>
#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (+ (* 2 (/ (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI)))) a)) (* 2 (/ (- (* -1 (/ (pow b 3) (PI))) (* -1 (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI))))))) (pow a 2))))))>
#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (+ (* 2 (/ (* b (- (* -1 (/ (pow b 3) (PI))) (* -1 (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI)))))))) (pow a 3))) (+ (* 2 (/ (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI)))) a)) (* 2 (/ (- (* -1 (/ (pow b 3) (PI))) (* -1 (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (* -1 (/ (pow b 2) (PI))))))) (pow a 2)))))))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* (pow a 2) (+ (* -2 (/ (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI))) a)) (* 2 (/ b (PI)))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -2 (/ (- (* -1 (/ (pow b 3) (PI))) (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI))))) a)) (* 2 (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI))))) a)) (* 2 (/ b (PI)))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (- (* -1 (/ (pow b 3) (PI))) (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI)))))) (* 2 (/ (* b (- (* -1 (/ (pow b 3) (PI))) (* b (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI)))))) a))) a)) (* 2 (- (* -1 (/ (* b (+ b (* -1 b))) (PI))) (/ (pow b 2) (PI))))) a)) (* 2 (/ b (PI)))))>
#<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 a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt b>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt b>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (* -1 a)>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (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 a)>
#<alt (+ (* -1 (/ b (pow a 2))) (/ 1 a))>
#<alt (+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* -1 (/ a b))) b)>
#<alt (/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (/ a b) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))>
#<alt (/ 1 b)>
#<alt (+ (* -1 (/ a (pow b 2))) (/ 1 b))>
#<alt (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))>
#<alt (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ b a))) a)>
#<alt (/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)>
#<alt (/ 1 a)>
#<alt (* -1 (/ (- (/ b a) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) 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) 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) 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 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

108 calls:

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

rewrite471.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
5202×*-lowering-*.f32
5202×*-lowering-*.f64
3238×/-lowering-/.f32
3238×/-lowering-/.f64
1920×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034182
1237180
22452180
08930180
Stop Event
1×iter limit
1×node limit
Counts
23 → 1057
Calls
Call 1
Inputs
(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) 2) (- b a))
(/ (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) 2)
(/ (- (/ (PI) a) (/ (PI) b)) (+ b a))
(- (/ (PI) a) (/ (PI) b))
(/ (* 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))))
(/ (* 2 (- b a)) (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)))
(* 2 (- b a))
(- b a)
(* (/ 1 (+ b a)) (pow (/ (* 2 (- b a)) (- (/ (PI) a) (/ (PI) b))) -1))
(pow (/ (* 2 (- b a)) (- (/ (PI) a) (/ (PI) b))) -1)
(/ 1 (+ b a))
(+ b a)
(/ (PI) b)
(/ (PI) a)
(- (/ 1 a) (/ 1 b))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 a b)) #s(literal -1 binary64)) (log.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))))))
(exp.f64 (+.f64 (log.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a)))) (*.f64 (log.f64 (+.f64 a b)) #s(literal -1 binary64))))
(-.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 (+.f64 a b) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 b a))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) #s(literal 2 binary64))))))
(neg.f64 (/.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 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a))
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(/.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))))

simplify415.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
5522×*-lowering-*.f32
5522×*-lowering-*.f64
3626×+-lowering-+.f64
3626×+-lowering-+.f32
1654×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07677577
126826109
087906109
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
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 (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))) (* 1/2 (/ (PI) b))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4))))) (* 1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))))))) a)
(* -1/2 (/ (PI) (* a b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (- (PI) (* -1 (PI))) a))) a)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (* 1/2 (/ (- (PI) (* -1 (PI))) a)))) a)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3))) (* 1/2 (/ (- (PI) (* -1 (PI))) a))))) a)
(* -1/2 (/ (PI) (* a b)))
(* -1 (/ (+ (* -1/2 (/ (- (PI) (* -1 (PI))) a)) (* 1/2 (/ (PI) b))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) a)) (* 1/2 (- (PI) (* -1 (PI))))) a)) (* 1/2 (/ (PI) b))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) a)) (* 1/2 (* b (- (PI) (* -1 (PI)))))) a)) (* 1/2 (- (PI) (* -1 (PI))))) a)) (* 1/2 (/ (PI) b))) a))
(* -1/2 (/ (PI) (* a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))) (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))))))) b)
(* 1/2 (/ (PI) (* a b)))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))) b)
(/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b)))) b)
(/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3))) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))))) b)
(* 1/2 (/ (PI) (* a b)))
(* -1 (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* 1/2 (* a (- (* -1 (PI)) (PI))))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))
(/ (PI) (* a b))
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(* -1 (/ (PI) (* a b)))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)
(* -1 (/ (PI) (* a b)))
(* -1 (/ (+ (* -1 (/ (- (PI) (* -1 (PI))) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (* b (- (PI) (* -1 (PI)))) a))) (* -1 (PI))) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) a)) (* -1 (* b (- (PI) (* -1 (PI)))))) a))) (* -1 (PI))) a)) (/ (PI) b)) a))
(* -1 (/ (PI) (* a b)))
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (PI) (* a b))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)
(/ (PI) (* a b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(/ (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))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(* -1/2 (/ (PI) (pow a 3)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* -1/2 (/ (PI) (pow a 3)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) a))
(* -1/2 (/ (PI) a))
(* -1/2 (/ (PI) a))
(* -1/2 (/ (PI) a))
(* -1/2 (/ (PI) a))
(* -1/2 (/ (PI) a))
(* -1/2 (/ (PI) a))
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(/ (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 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (PI.f64) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (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) (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 0 binary64)) (*.f64 b b)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (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 a (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 0 binary64)) (*.f64 b b)) (*.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (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)))) (-.f64 (/.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 0 binary64)) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a a)))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (*.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 (*.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 (+.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 #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 (PI.f64) #s(literal 0 binary64)) (*.f64 (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b)) #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 (*.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 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a a)))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (*.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 (+.f64 (PI.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 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (*.f64 (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b)) #s(literal 0 binary64))) (*.f64 (*.f64 b 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) (PI.f64)) (*.f64 b (*.f64 a a)))
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a a)) (*.f64 b (+.f64 (*.f64 b (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.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 #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 (*.f64 #s(literal 1/2 binary64) (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 b (/.f64 (*.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 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.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 a a)) (-.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)))))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b))) (*.f64 b b))
(/ (+ (* -1/2 (/ (+ (* -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 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) (*.f64 (PI.f64) a))) (*.f64 b b))) (*.f64 b b))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.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 #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))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) (/.f64 (+.f64 (*.f64 (PI.f64) a) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64))) b))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64))) (*.f64 (*.f64 a a) (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)))))) b) (+.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))) (* 1/2 (/ (PI) b))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 a (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))))) a)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 (*.f64 a #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 b b))))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4))))) (* 1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))))))) a)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b b))))))))) a)
(* -1/2 (/ (PI) (* a b)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (- (PI) (* -1 (PI))) a))) a)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (PI.f64))) a)) a)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (* 1/2 (/ (- (PI) (* -1 (PI))) a)))) a)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 a a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (PI.f64))) a)) a)
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(* 2 (/ (* (pow a 2) b) (PI)))
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(* 2 (/ (* (pow a 2) b) (PI)))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 b (*.f64 a a)) (PI.f64)))
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(/ (+ (* -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 (+.f64 (PI.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 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (*.f64 (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b)) #s(literal 0 binary64))) (*.f64 (*.f64 b b) (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b))))) a)) a)) a)) (*.f64 a a))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a a)))
(+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (/.f64 b (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))
(+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 b (pow.f64 a #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* -1 (/ a b))) b)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)
(/.f64 (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (/.f64 a b))) b)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (-.f64 (/.f64 a b) (/.f64 (*.f64 a a) (*.f64 b b)))) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (/ a b) 1) b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 a a) b) a) (-.f64 #s(literal 0 binary64) b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 a a)) b) (*.f64 a a)) (-.f64 #s(literal 0 binary64) b)) a) (-.f64 #s(literal 0 binary64) b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -1 (/ a (pow b 2))) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a (*.f64 b b)))
(+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (+.f64 (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
(+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (+.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ b a))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)
(/.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 b a))) a)
(/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (-.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* -1 (/ (- (/ b a) 1) a))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 b b) a) b) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b b)) a) (*.f64 b b)) (-.f64 #s(literal 0 binary64) a)) b) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))
a
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
b
(* b (+ 1 (/ a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(* b (+ 1 (/ a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(* b (+ 1 (/ a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
b
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
a
(* a (+ 1 (/ b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(* a (+ 1 (/ b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(* a (+ 1 (/ b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal -1 binary64))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal -1 binary64))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal -1 binary64))))
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (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 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 (/.f64 b a) #s(literal -1 binary64)) b)
(/ (- (/ b a) 1) b)
(/.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) b)
(/ (- (/ b a) 1) b)
(/.f64 (+.f64 (/.f64 b a) #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))
(/ 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))

eval457.0ms (3.8%)

Compiler

Compiled 71478 to 6712 computations (90.6% saved)

prune389.0ms (3.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New2630162646
Fresh8311
Picked415
Done000
Total2642202662
Accuracy
100.0%
Counts
2662 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.4%
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) a) b) (+.f64 b a)) #s(literal 2 binary64)) (-.f64 b a))
70.5%
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (+.f64 b a)) #s(literal 2 binary64)) (-.f64 b a))
59.8%
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) #s(literal 2 binary64)) (-.f64 b a))
68.5%
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 2 binary64)) (-.f64 b a))
59.9%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
▶58.5%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
▶61.2%
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
▶99.6%
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
76.8%
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
59.5%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
✓52.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
58.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
▶60.3%
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) (-.f64 b a))
58.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) (PI.f64)))
59.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
68.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 a b))))
84.0%
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 a b) (PI.f64)) (/.f64 (*.f64 b b) (PI.f64))))))
52.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)))
▶59.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
Compiler

Compiled 565 to 390 computations (31% saved)

simplify241.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) (*.f64 a b))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
✓cost-diff0
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) (-.f64 b a))
✓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)) b)
✓cost-diff0
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
✓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 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
✓cost-diff0
(-.f64 b a)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
Rules
3338×*-lowering-*.f32
3338×*-lowering-*.f64
1568×/-lowering-/.f32
1568×/-lowering-/.f64
962×+-lowering-+.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
027181
163181
2208179
3594178
41450178
53611176
08017176
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ 1/2 (- b a)) (/ (+ a b) (- (/ (PI) a) (/ (PI) b))))
(/ 1/2 (- b a))
1/2
(- b a)
b
a
(/ (+ a b) (- (/ (PI) a) (/ (PI) b)))
(+ a b)
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
(/ (PI) b)
(* (/ 1/2 a) (/ (PI) (* a b)))
(/ 1/2 a)
1/2
a
(/ (PI) (* a b))
(PI)
(* a b)
b
(/ (/ (* 1/2 (/ (PI) b)) b) a)
(/ (* 1/2 (/ (PI) b)) b)
(* 1/2 (/ (PI) b))
1/2
(/ (PI) b)
(PI)
b
a
(/ (* -1/2 (/ (PI) (* a b))) (- b a))
(* -1/2 (/ (PI) (* a b)))
-1/2
(/ (PI) (* a b))
(PI)
(* a b)
a
b
(- b a)
(/ (/ (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)
Outputs
(/ (/ 1/2 (- b a)) (/ (+ a b) (- (/ (PI) a) (/ (PI) b))))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (-.f64 b a))
(/ 1/2 (- b a))
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
1/2
#s(literal 1/2 binary64)
(- b a)
(-.f64 b a)
b
a
(/ (+ a b) (- (/ (PI) a) (/ (PI) b)))
(/.f64 (+.f64 b a) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(+ a b)
(+.f64 b a)
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
(/ (PI) b)
(/.f64 (PI.f64) b)
(* (/ 1/2 a) (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a a))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(/ (PI) (* a b))
(/.f64 (/.f64 (PI.f64) a) b)
(PI)
(PI.f64)
(* a b)
(*.f64 b a)
b
(/ (/ (* 1/2 (/ (PI) b)) b) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/ (* 1/2 (/ (PI) b)) b)
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b)
(* 1/2 (/ (PI) b))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))
1/2
#s(literal 1/2 binary64)
(/ (PI) b)
(/.f64 (PI.f64) b)
(PI)
(PI.f64)
b
a
(/ (* -1/2 (/ (PI) (* a b))) (- b a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (-.f64 a b))) b) a)
(* -1/2 (/ (PI) (* a b)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b)
-1/2
#s(literal -1/2 binary64)
(/ (PI) (* a b))
(/.f64 (/.f64 (PI.f64) a) b)
(PI)
(PI.f64)
(* a b)
(*.f64 b a)
a
b
(- b a)
(-.f64 b a)
(/ (/ (PI) a) (* (+ b a) (* 2 (- b a))))
(/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #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 b a) #s(literal 2 binary64)))
(+ b a)
(+.f64 b a)
b
(* 2 (- b a))
(*.f64 (-.f64 b a) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- b a)
(-.f64 b a)

localize136.0ms (1.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (-.f64 b a))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy90.4%
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) (-.f64 b a))
✓accuracy99.0%
(/.f64 (PI.f64) (*.f64 a b))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b)
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy84.5%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
✓accuracy100.0%
(*.f64 a b)
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
✓accuracy99.0%
(/.f64 (PI.f64) (*.f64 a b))
✓accuracy99.7%
(/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy99.6%
(/.f64 (PI.f64) b)
Results
92.0ms256×0valid
Compiler

Compiled 184 to 28 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 20.0ms (50.8% of total)
ival-mult: 10.0ms (25.4% of total)
ival-add: 4.0ms (10.2% of total)
ival-sub: 3.0ms (7.6% of total)
ival-pi: 1.0ms (2.5% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

series36.0ms (0.3%)

Counts
19 → 372
Calls
Call 1
Inputs
#<alt (/ (/ 1/2 (- b a)) (/ (+ a b) (- (/ (PI) a) (/ (PI) b))))>
#<alt (/ 1/2 (- b a))>
#<alt (- b a)>
#<alt (/ (+ a b) (- (/ (PI) a) (/ (PI) b)))>
#<alt (* (/ 1/2 a) (/ (PI) (* a b)))>
#<alt (/ 1/2 a)>
#<alt (/ (PI) (* a b))>
#<alt (PI)>
#<alt (/ (/ (* 1/2 (/ (PI) b)) b) a)>
#<alt (/ (* 1/2 (/ (PI) b)) b)>
#<alt (* 1/2 (/ (PI) b))>
#<alt (/ (PI) b)>
#<alt (/ (* -1/2 (/ (PI) (* a b))) (- b a))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (/ (/ (PI) a) (* (+ b a) (* 2 (- b a))))>
#<alt (/ (PI) a)>
#<alt (* (+ b a) (* 2 (- b a)))>
#<alt (* a b)>
#<alt (* 2 (- b a))>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ -1/2 a)>
#<alt (- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))>
#<alt (- (* b (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))>
#<alt (- (* b (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))>
#<alt (/ 1/2 b)>
#<alt (/ (+ 1/2 (* 1/2 (/ a b))) b)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* -1/2 (/ a b))) b)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ a b)) (* -1/2 (/ (pow a 2) (pow b 2))))) b)>
#<alt (/ 1/2 b)>
#<alt (* -1 (/ (- (* -1/2 (/ a b)) 1/2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* -1/2 a)) b)) 1/2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* -1/2 a)) b)) 1/2) b))>
#<alt (/ 1/2 b)>
#<alt (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))>
#<alt (/ -1/2 a)>
#<alt (/ (- (* -1/2 (/ b a)) 1/2) a)>
#<alt (/ (- (* -1/2 (/ (pow b 2) (pow a 2))) (+ 1/2 (* 1/2 (/ b a)))) a)>
#<alt (/ (- (* -1/2 (/ (pow b 3) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ b a)) (* 1/2 (/ (pow b 2) (pow a 2)))))) a)>
#<alt (/ -1/2 a)>
#<alt (* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a))) a))>
#<alt (* -1 a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt b>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt b>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (* -1 a)>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (/ (* a b) (PI))>
#<alt (* a (+ (* 2 (/ a (PI))) (/ b (PI))))>
#<alt (* a (+ (* a (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))) (/ b (PI))))>
#<alt (* a (+ (* a (+ (* a (+ (* 2 (/ a (* (pow b 2) (PI)))) (* 2 (/ 1 (* b (PI)))))) (* 2 (/ 1 (PI))))) (/ b (PI))))>
#<alt (* -1 (/ (* a b) (PI)))>
#<alt (* a (- (+ (* -1 (/ b (PI))) (* -1 (/ (pow b 2) (* a (PI))))) (/ (pow b 2) (* a (PI)))))>
#<alt (* a (- (+ (* -1 (/ b (PI))) (+ (* -1 (/ (pow b 2) (* a (PI)))) (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 2)))) (/ (pow b 2) (* a (PI)))))>
#<alt (* a (- (+ (* -1 (/ b (PI))) (+ (* -1 (/ (pow b 2) (* a (PI)))) (/ (* (pow b 2) (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 3)))) (+ (* -1 (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 2))) (/ (pow b 2) (* a (PI))))))>
#<alt (* -1 (/ (* a b) (PI)))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI))) a)) (/ b (PI)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (+ (* -1 (/ (pow b 2) (PI))) (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) a)) (/ (pow b 2) (PI))) a)) (/ b (PI)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) a)) (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI))))) a)) (* -1 (/ (pow b 2) (PI)))) (/ (pow b 2) (PI))) a)) (/ b (PI)))))>
#<alt (* -1 (/ (* a b) (PI)))>
#<alt (* b (+ (* -2 (/ b (PI))) (* -1 (/ a (PI)))))>
#<alt (* b (+ (* -1 (/ a (PI))) (* b (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI)))))))>
#<alt (* b (+ (* -1 (/ a (PI))) (* b (- (* b (- (* -2 (/ b (* (pow a 2) (PI)))) (* 2 (/ 1 (* a (PI)))))) (* 2 (/ 1 (PI)))))))>
#<alt (/ (* a b) (PI))>
#<alt (* b (- (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI))))))>
#<alt (* b (- (+ (/ a (PI)) (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2)) (/ (pow a 2) (* b (PI))))) (* -1 (/ (pow a 2) (* b (PI))))))>
#<alt (* b (- (+ (/ a (PI)) (+ (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 3)) (/ (pow a 2) (* b (PI))))) (+ (* -1 (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (pow a 2) (* b (PI)))))))>
#<alt (/ (* a b) (PI))>
#<alt (* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))) b)))))>
#<alt (* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b)))))>
#<alt (* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b)) (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))))) b)) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b)))))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (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) 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) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) (pow b 2))) (* -1/2 (/ (* a (PI)) (pow b 3)))) a)>
#<alt (/ (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (PI) (pow b 4))) (* -1/2 (/ (* a (PI)) (pow b 5)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 3)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (PI) (pow a 3))) (* b (+ (* 1/2 (/ (PI) (pow a 4))) (* 1/2 (/ (* b (PI)) (pow a 5)))))))) b)>
#<alt (* -1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3)))))) (pow b 2))>
#<alt (* -1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (* -1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* -1/2 (/ (* (pow a 2) (PI)) b))) b)) (* 1/2 (PI))) b)) (* -1/2 (/ (PI) a))) (pow b 2))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a (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 (* 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)))))>
Calls

93 calls:

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

rewrite430.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
4874×*-lowering-*.f32
4874×*-lowering-*.f64
4502×/-lowering-/.f32
4502×/-lowering-/.f64
2414×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027129
1192120
22009120
08831120
Stop Event
1×iter limit
1×node limit
Counts
19 → 562
Calls
Call 1
Inputs
(/ (/ 1/2 (- b a)) (/ (+ a b) (- (/ (PI) a) (/ (PI) b))))
(/ 1/2 (- b a))
(- b a)
(/ (+ a b) (- (/ (PI) a) (/ (PI) b)))
(* (/ 1/2 a) (/ (PI) (* a b)))
(/ 1/2 a)
(/ (PI) (* a b))
(PI)
(/ (/ (* 1/2 (/ (PI) b)) b) a)
(/ (* 1/2 (/ (PI) b)) b)
(* 1/2 (/ (PI) b))
(/ (PI) b)
(/ (* -1/2 (/ (PI) (* a b))) (- b a))
(* -1/2 (/ (PI) (* a b)))
(/ (/ (PI) a) (* (+ b a) (* 2 (- b a))))
(/ (PI) a)
(* (+ b a) (* 2 (- b a)))
(* a b)
(* 2 (- b a))
Outputs
(+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a)) (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) b))))
(+.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (*.f64 (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) #s(literal -1 binary64)))
(fma.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a)) (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) b))))
(fma.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))) (*.f64 (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a))))
(fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a)) (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) b))))
(fma.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (*.f64 (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a))))
(fma.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a)) (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) b))))
(fma.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a)) (*.f64 (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a)) (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) b))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (*.f64 (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a))))
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(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (*.f64 b (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 b (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b)
(pow.f64 (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a)))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) b))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 (PI.f64) a))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (PI.f64) a) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/.f64 (PI.f64) (*.f64 a (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))
(/.f64 (/.f64 (PI.f64) a) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 (PI.f64) a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 (PI.f64) a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (*.f64 (+.f64 b a) a))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (neg.f64 (*.f64 a (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) a)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a)) (/.f64 a (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 (PI.f64) a))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1 binary64)) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) a))) (neg.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a))) a)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) a)
(/.f64 (/.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (+.f64 b a))
(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (-.f64 b a))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) a)) (-.f64 b a)) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) a)) #s(literal 2 binary64)) (-.f64 b a))
(pow.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 (PI.f64) a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 a (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 (PI.f64) a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (*.f64 (+.f64 b a) a))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 (+.f64 b a) a)))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 b a)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 a (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b 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)) (/.f64 (PI.f64) a))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (PI.f64)) a))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (PI.f64) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) a)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 b a) (/.f64 (PI.f64) a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (PI.f64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (PI.f64))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)))
(/.f64 (PI.f64) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (PI.f64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(pow.f64 (/.f64 a (PI.f64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) a))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) a))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) b) (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) a))
(+.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) a) (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) b))
(+.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 b (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (*.f64 a (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))
(+.f64 (*.f64 a (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (*.f64 b (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))
(+.f64 (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))
(fma.f64 b (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (*.f64 a (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))
(fma.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))
(fma.f64 a (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (*.f64 b (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) b (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) a))
(fma.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) a (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) b))
(fma.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))
(/.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))
(/.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (-.f64 (*.f64 a a) (*.f64 b b))) (-.f64 a b))
(/.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a))
(/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (-.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 a) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 b a))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))
(/.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (-.f64 a b))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (-.f64 b a))
(*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
(*.f64 (+.f64 b a) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (+.f64 b a))
(*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))
(*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 b a))
(*.f64 b a)
(*.f64 a b)
(+.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)))
(-.f64 (/.f64 b #s(literal 1/2 binary64)) (/.f64 a #s(literal 1/2 binary64)))
(fma.f64 b #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 b a) #s(literal 1/2 binary64))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (+.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 b a))
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) #s(literal 2 binary64)) (+.f64 (*.f64 b b) (*.f64 a (+.f64 b a))))
(/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) a)) #s(literal 1/4 binary64))
(/.f64 (-.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) a))) #s(literal -1/4 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 b a) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 b a))

simplify364.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
6120×*-lowering-*.f32
6120×*-lowering-*.f64
4166×+-lowering-+.f64
4166×+-lowering-+.f32
1150×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08245112
128754169
094084169
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* 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))
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(* 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))
(* 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)))))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.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 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) (*.f64 b (*.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 (* 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 #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 b (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.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)))))))) 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 #s(literal -1/2 binary64) (*.f64 (+.f64 (*.f64 b (/.f64 (*.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 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.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 a a)) (-.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)))))) b))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b))) (*.f64 b b))
(/ (+ (* -1/2 (/ (+ (* -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 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) (*.f64 (PI.f64) a))) (*.f64 b b))) (*.f64 b b))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.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) (-.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 #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))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.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 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) (*.f64 (*.f64 a a) (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)))))) b) (+.f64 (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (PI.f64) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.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 #s(literal 0 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 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 (PI.f64) (*.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 a (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 a (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 0 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 b b))) (*.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (/.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 b b)))) (-.f64 (*.f64 #s(literal 0 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 b b))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.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 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (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 (/.f64 (PI.f64) b) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (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 #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 (PI.f64) #s(literal 0 binary64)) (*.f64 (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b))))) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b)) a)))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.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 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (PI.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))
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(* -1 (* a (+ 2 (* -2 (/ b a)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 b a) #s(literal -2 binary64))))

eval185.0ms (1.6%)

Compiler

Compiled 24448 to 3058 computations (87.5% saved)

prune157.0ms (1.3%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New138091389
Fresh8614
Picked325
Done011
Total1391181409
Accuracy
100.0%
Counts
1409 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.4%
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) a) b) (+.f64 b a)) #s(literal 2 binary64)) (-.f64 b a))
▶59.9%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
✓58.5%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
59.9%
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64)))
▶90.3%
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) b)))
67.7%
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (*.f64 b a))
68.4%
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a (/.f64 b (PI.f64))))
76.8%
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
67.7%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (/.f64 #s(literal 1 binary64) a)) b)
▶59.5%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
67.4%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b a) b))
✓52.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
58.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
▶59.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 a (PI.f64))) a))
52.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
67.6%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
▶67.7%
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
✓59.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
Compiler

Compiled 419 to 294 computations (29.8% saved)

simplify37.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
024131
163126
2162126
3339125
4506125
5577125
6579125
0579125
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (/ (PI) a) (* (+ b a) (* 2 b)))
(/ (PI) a)
(PI)
a
(* (+ b a) (* 2 b))
(+ b a)
b
(* 2 b)
2
(* (/ (PI) b) (/ 1/2 (* b a)))
(/ (PI) b)
(PI)
b
(/ 1/2 (* b a))
1/2
(* b a)
a
(/ 1/2 (* (* b (/ a (PI))) a))
1/2
(* (* b (/ a (PI))) a)
(* b (/ a (PI)))
b
(/ a (PI))
a
(PI)
(/ (* (PI) 1/2) (* a (* a b)))
(* (PI) 1/2)
(PI)
1/2
(* a (* a b))
a
(* a b)
b
(/ (/ (* (PI) 1/2) a) (* a b))
(/ (* (PI) 1/2) a)
(* (PI) 1/2)
(PI)
1/2
a
(* a b)
b
Outputs
(/ (/ (PI) a) (* (+ b a) (* 2 b)))
(/.f64 (PI.f64) (*.f64 b (*.f64 a (*.f64 (+.f64 a b) #s(literal 2 binary64)))))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(* (+ b a) (* 2 b))
(*.f64 b (*.f64 (+.f64 a b) #s(literal 2 binary64)))
(+ b a)
(+.f64 a b)
b
(* 2 b)
(*.f64 b #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (/ (PI) b) (/ 1/2 (* b a)))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(PI)
(PI.f64)
b
(/ 1/2 (* b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
1/2
#s(literal 1/2 binary64)
(* b a)
(*.f64 a b)
a
(/ 1/2 (* (* b (/ a (PI))) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
1/2
#s(literal 1/2 binary64)
(* (* b (/ a (PI))) a)
(/.f64 (*.f64 a (*.f64 a b)) (PI.f64))
(* b (/ a (PI)))
(/.f64 (*.f64 a b) (PI.f64))
b
(/ a (PI))
(/.f64 a (PI.f64))
a
(PI)
(PI.f64)
(/ (* (PI) 1/2) (* a (* a b)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* a (* a b))
(*.f64 a (*.f64 a b))
a
(* a b)
(*.f64 a b)
b
(/ (/ (* (PI) 1/2) a) (* a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
(/ (* (PI) 1/2) a)
(/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
a
(* a b)
(*.f64 a b)
b

localize143.0ms (1.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 a b)
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
✓accuracy99.6%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
✓accuracy100.0%
(*.f64 a b)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 a (*.f64 a b))
✓accuracy99.4%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
✓accuracy99.9%
(*.f64 (*.f64 b (/.f64 a (PI.f64))) a)
✓accuracy99.7%
(*.f64 b (/.f64 a (PI.f64)))
✓accuracy99.6%
(/.f64 a (PI.f64))
✓accuracy99.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 a (PI.f64))) a))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy99.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) b)
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy90.3%
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) b)))
Results
85.0ms256×0valid
Compiler

Compiled 134 to 25 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 17.0ms (48.6% of total)
ival-div: 15.0ms (42.9% of total)
ival-pi: 1.0ms (2.9% of total)
ival-add: 1.0ms (2.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
18 → 324
Calls
Call 1
Inputs
#<alt (/ (/ (PI) a) (* (+ b a) (* 2 b)))>
#<alt (/ (PI) a)>
#<alt (PI)>
#<alt (* (+ b a) (* 2 b))>
#<alt (* (/ (PI) b) (/ 1/2 (* b a)))>
#<alt (/ (PI) b)>
#<alt (/ 1/2 (* b a))>
#<alt (/ 1/2 (* (* b (/ a (PI))) a))>
#<alt (* (* b (/ a (PI))) a)>
#<alt (* b (/ a (PI)))>
#<alt (/ a (PI))>
#<alt (/ (* (PI) 1/2) (* a (* a b)))>
#<alt (* (PI) 1/2)>
#<alt (* a (* a b))>
#<alt (/ (/ (* (PI) 1/2) a) (* a b))>
#<alt (/ (* (PI) 1/2) a)>
#<alt (* 2 b)>
#<alt (* a b)>
Outputs
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (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 (* a b))>
#<alt (* b (+ (* 2 a) (* 2 b)))>
#<alt (* b (+ (* 2 a) (* 2 b)))>
#<alt (* b (+ (* 2 a) (* 2 b)))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 2 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 2 (* 2 (/ a b))))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 2 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 2 (* 2 (/ a b))))>
#<alt (* 2 (pow b 2))>
#<alt (+ (* 2 (* a b)) (* 2 (pow b 2)))>
#<alt (+ (* 2 (* a b)) (* 2 (pow b 2)))>
#<alt (+ (* 2 (* a b)) (* 2 (pow b 2)))>
#<alt (* 2 (* a b))>
#<alt (* a (+ (* 2 b) (* 2 (/ (pow b 2) a))))>
#<alt (* a (+ (* 2 b) (* 2 (/ (pow b 2) a))))>
#<alt (* a (+ (* 2 b) (* 2 (/ (pow b 2) a))))>
#<alt (* 2 (* a b))>
#<alt (* -1 (* a (+ (* -2 b) (* -2 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* -2 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* -2 (/ (pow b 2) a)))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (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 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* 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) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) b) (PI))>
#<alt (/ (* (pow a 2) 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) (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (/ a (PI))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* (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) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
Calls

81 calls:

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

rewrite339.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
6206×*-lowering-*.f32
6206×*-lowering-*.f64
3798×/-lowering-/.f32
3798×/-lowering-/.f64
1062×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024100
115494
2118094
0850194
Stop Event
1×iter limit
1×node limit
Counts
18 → 1431
Calls
Call 1
Inputs
(/ (/ (PI) a) (* (+ b a) (* 2 b)))
(/ (PI) a)
(PI)
(* (+ b a) (* 2 b))
(* (/ (PI) b) (/ 1/2 (* b a)))
(/ (PI) b)
(/ 1/2 (* b a))
(/ 1/2 (* (* b (/ a (PI))) a))
(* (* b (/ a (PI))) a)
(* b (/ a (PI)))
(/ a (PI))
(/ (* (PI) 1/2) (* a (* a b)))
(* (PI) 1/2)
(* a (* a b))
(/ (/ (* (PI) 1/2) a) (* a b))
(/ (* (PI) 1/2) a)
(* 2 b)
(* a b)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 b #s(literal 1/2 binary64)) (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 b (*.f64 (+.f64 a b) #s(literal -2 binary64)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 a b) a)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (+.f64 a b)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 a b) (*.f64 a (*.f64 b #s(literal -2 binary64))))) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a (*.f64 b #s(literal -2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b (*.f64 (+.f64 a b) #s(literal -2 binary64)))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b (*.f64 (+.f64 a b) #s(literal -2 binary64)))))
(neg.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b (*.f64 (+.f64 a b) #s(literal -2 binary64)))))
(neg.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a (*.f64 b #s(literal -2 binary64))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 b (*.f64 (+.f64 a b) #s(literal -2 binary64))))))
(neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a))))
(neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (*.f64 b #s(literal -2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 a b) a)))))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)) (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 b #s(literal 1/2 binary64)) (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (*.f64 (+.f64 a b) a))) (/.f64 b #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b (PI.f64))) (+.f64 a b)) a))
(/.f64 (PI.f64) (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 a b) a))))
(/.f64 (PI.f64) (neg.f64 (*.f64 (+.f64 a b) (*.f64 a (*.f64 b #s(literal -2 binary64))))))
(/.f64 (/.f64 (PI.f64) a) (*.f64 b (*.f64 (+.f64 a b) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b #s(literal 1/2 binary64)) (/.f64 (PI.f64) (*.f64 (+.f64 a b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b (PI.f64))) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 a b) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (+.f64 a b) (*.f64 a (*.f64 b #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (*.f64 b (*.f64 (+.f64 a b) #s(literal -2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 (+.f64 a b) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) (+.f64 a b))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 b #s(literal 1/2 binary64)))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (neg.f64 (*.f64 b #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (+.f64 a b) (/.f64 (PI.f64) a)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) (*.f64 a (*.f64 b #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b (PI.f64))) (neg.f64 (*.f64 (+.f64 a b) a)))
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 a b)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (*.f64 (+.f64 a b) a))) (*.f64 b #s(literal -2 binary64)))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 (+.f64 a b) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b))) (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64))))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b (PI.f64))) (+.f64 a b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) b) a)
(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 a b) #s(literal 2 binary64))) b)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) b) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) #s(literal 2 binary64)) b)
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b (PI.f64))) (+.f64 a b))) a)
(/.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) b)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 #s(literal 1/2 binary64) b)) (-.f64 #s(literal 0 binary64) (+.f64 a b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) #s(literal 1 binary64)) (*.f64 b (*.f64 (+.f64 a b) #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)) (PI.f64)) a)
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)) (-.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 a b))
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1 binary64)) (*.f64 b (*.f64 (+.f64 a b) #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)))) (*.f64 b #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) b)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) b)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) #s(literal 2 binary64))) b)
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64))))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) #s(literal 1 binary64)) (/.f64 b #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 b (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64))) a)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) a)
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1 binary64) a)) (/.f64 b #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)) b)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) b)) a)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a b)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b))) (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64))))
(/.f64 (*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)))) a)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (/.f64 (PI.f64) a)) b)
(pow.f64 (/.f64 (/.f64 b #s(literal 1/2 binary64)) (/.f64 (PI.f64) (*.f64 (+.f64 a b) a))) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (+.f64 a b)))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)))))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) a)) (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 a b) a)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 a b) a)))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (+.f64 a b))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 a b) a))))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 a b) a))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 a b) a)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (/.f64 (cbrt.f64 (PI.f64)) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 a b) a)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b))))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (*.f64 a (*.f64 b #s(literal -2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b))))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)) (/.f64 (PI.f64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) b))
(*.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)))
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(*.f64 (pow.f64 (/.f64 (*.f64 a a) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (PI.f64) b))
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) #s(literal 1 binary64)) (/.f64 (PI.f64) a))
(*.f64 (pow.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a)))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) a))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 a #s(literal 1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) a))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 a a))) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) (/.f64 (PI.f64) b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a b))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a b))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a b))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a b))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64))
(*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a b))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a b))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a b))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a b))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (PI.f64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (PI.f64) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 (/.f64 (PI.f64) a) (-.f64 #s(literal 0 binary64) (*.f64 a b))) #s(literal -1/2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (/.f64 a (PI.f64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (-.f64 #s(literal 0 binary64) a)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a a)) (PI.f64))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 a a))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 a b))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 a b) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 a b) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 a (PI.f64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (PI.f64))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (PI.f64))) #s(literal 1 binary64)))
(/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))
(pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 a #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) a)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 a #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (/.f64 (cbrt.f64 (PI.f64)) a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (/.f64 (cbrt.f64 (PI.f64)) (/.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) a))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) a) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 a (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) a))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 b #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1/2 binary64))
(*.f64 b #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) b)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a b)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)))
(/.f64 b (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 a b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal -1 binary64) a))
(*.f64 a b)
(*.f64 b a)
(*.f64 (*.f64 a b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a b))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) a))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a b)))
(*.f64 (/.f64 b #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))

simplify295.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
4020×*-lowering-*.f32
4020×*-lowering-*.f64
2184×fma-lowering-fma.f32
2184×fma-lowering-fma.f64
1994×fnmadd-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01692366
14692163
213892149
334852127
463082117
082162117
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (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 (* a b))
(* b (+ (* 2 a) (* 2 b)))
(* b (+ (* 2 a) (* 2 b)))
(* b (+ (* 2 a) (* 2 b)))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 2 (/ a b))))
(* (pow b 2) (+ 2 (* 2 (/ a b))))
(* (pow b 2) (+ 2 (* 2 (/ a b))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 2 (/ a b))))
(* (pow b 2) (+ 2 (* 2 (/ a b))))
(* (pow b 2) (+ 2 (* 2 (/ a b))))
(* 2 (pow b 2))
(+ (* 2 (* a b)) (* 2 (pow b 2)))
(+ (* 2 (* a b)) (* 2 (pow b 2)))
(+ (* 2 (* a b)) (* 2 (pow b 2)))
(* 2 (* a b))
(* a (+ (* 2 b) (* 2 (/ (pow b 2) a))))
(* a (+ (* 2 b) (* 2 (/ (pow b 2) a))))
(* a (+ (* 2 b) (* 2 (/ (pow b 2) a))))
(* 2 (* a b))
(* -1 (* a (+ (* -2 b) (* -2 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -2 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -2 (/ (pow b 2) a)))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (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 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* 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) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* (pow a 2) b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(/ a (PI))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) 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) (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 a a)) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b)))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (/.f64 b 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 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (/.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 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (/.f64 (*.f64 b (*.f64 (PI.f64) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)))) (*.f64 a 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 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) 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) (*.f64 b b))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64)))))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) 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 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b))))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 (*.f64 a (*.f64 (PI.f64) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b)))) (*.f64 b b))) (*.f64 b 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)
(* 2 (* a b))
(*.f64 a (*.f64 b #s(literal 2 binary64)))
(* b (+ (* 2 a) (* 2 b)))
(*.f64 b (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(* b (+ (* 2 a) (* 2 b)))
(*.f64 b (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(* b (+ (* 2 a) (* 2 b)))
(*.f64 b (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(* 2 (pow b 2))
(*.f64 b (*.f64 b #s(literal 2 binary64)))
(* (pow b 2) (+ 2 (* 2 (/ a b))))
(*.f64 b (*.f64 (*.f64 b (+.f64 (/.f64 a b) #s(literal 1 binary64))) #s(literal 2 binary64)))
(* (pow b 2) (+ 2 (* 2 (/ a b))))
(*.f64 b (*.f64 (*.f64 b (+.f64 (/.f64 a b) #s(literal 1 binary64))) #s(literal 2 binary64)))
(* (pow b 2) (+ 2 (* 2 (/ a b))))
(*.f64 b (*.f64 (*.f64 b (+.f64 (/.f64 a b) #s(literal 1 binary64))) #s(literal 2 binary64)))
(* 2 (pow b 2))
(*.f64 b (*.f64 b #s(literal 2 binary64)))
(* (pow b 2) (+ 2 (* 2 (/ a b))))
(*.f64 b (*.f64 (*.f64 b (+.f64 (/.f64 a b) #s(literal 1 binary64))) #s(literal 2 binary64)))
(* (pow b 2) (+ 2 (* 2 (/ a b))))
(*.f64 b (*.f64 (*.f64 b (+.f64 (/.f64 a b) #s(literal 1 binary64))) #s(literal 2 binary64)))
(* (pow b 2) (+ 2 (* 2 (/ a b))))
(*.f64 b (*.f64 (*.f64 b (+.f64 (/.f64 a b) #s(literal 1 binary64))) #s(literal 2 binary64)))
(* 2 (pow b 2))
(*.f64 b (*.f64 b #s(literal 2 binary64)))
(+ (* 2 (* a b)) (* 2 (pow b 2)))
(*.f64 b (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(+ (* 2 (* a b)) (* 2 (pow b 2)))
(*.f64 b (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(+ (* 2 (* a b)) (* 2 (pow b 2)))
(*.f64 b (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(* 2 (* a b))
(*.f64 a (*.f64 b #s(literal 2 binary64)))
(* a (+ (* 2 b) (* 2 (/ (pow b 2) a))))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a b) (*.f64 (*.f64 b b) #s(literal 1 binary64))))
(* a (+ (* 2 b) (* 2 (/ (pow b 2) a))))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a b) (*.f64 (*.f64 b b) #s(literal 1 binary64))))
(* a (+ (* 2 b) (* 2 (/ (pow b 2) a))))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a b) (*.f64 (*.f64 b b) #s(literal 1 binary64))))
(* 2 (* a b))
(*.f64 a (*.f64 b #s(literal 2 binary64)))
(* -1 (* a (+ (* -2 b) (* -2 (/ (pow b 2) a)))))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a b) (*.f64 (*.f64 b b) #s(literal 1 binary64))))
(* -1 (* a (+ (* -2 b) (* -2 (/ (pow b 2) a)))))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a b) (*.f64 (*.f64 b b) #s(literal 1 binary64))))
(* -1 (* a (+ (* -2 b) (* -2 (/ (pow b 2) a)))))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a b) (*.f64 (*.f64 b b) #s(literal 1 binary64))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
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(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 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)

eval399.0ms (3.4%)

Compiler

Compiled 27952 to 3453 computations (87.6% saved)

prune301.0ms (2.5%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New210592114
Fresh10010
Picked325
Done123
Total2119132132
Accuracy
100.0%
Counts
2132 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) b) a)
90.5%
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)) (/.f64 a (PI.f64)))
✓59.9%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
67.7%
(/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a b))
67.7%
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) b)
59.9%
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
67.7%
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b)
✓52.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
67.4%
(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
67.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 a b)) (PI.f64)))
59.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (/.f64 (PI.f64) b)) a))
✓67.7%
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
✓59.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
Compiler

Compiled 875 to 286 computations (67.3% saved)

regimes46.0ms (0.4%)

Counts
52 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 a (PI.f64))) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (/.f64 (PI.f64) b)) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 a b)) (PI.f64)))
(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) (PI.f64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) (-.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (/.f64 #s(literal 1 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a (/.f64 b (PI.f64))))
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) b)))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 2 binary64)) (-.f64 b a))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) b) a)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 a b))))
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (+.f64 b a)) #s(literal 2 binary64)) (-.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 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) (*.f64 a a))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) #s(literal 2 binary64)) (-.f64 b a))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 a b) (PI.f64)) (/.f64 (*.f64 b b) (PI.f64))))))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) #s(literal 2 binary64)) (-.f64 b a))
(*.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 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 (*.f64 b b) (*.f64 a a)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(*.f64 (*.f64 (/.f64 (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 (/.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) a) b) (+.f64 b a)) #s(literal 2 binary64)) (-.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal -1 binary64)))
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (neg.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))))
(+.f64 (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 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) #s(literal 2 binary64)) (-.f64 b a))
Calls

3 calls:

15.0ms
a
14.0ms
b
13.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
99.6%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)

regimes26.0ms (0.2%)

Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 a (PI.f64))) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (/.f64 (PI.f64) b)) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 a b)) (PI.f64)))
(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) (PI.f64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) (-.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (/.f64 #s(literal 1 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a (/.f64 b (PI.f64))))
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) b)))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 2 binary64)) (-.f64 b a))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) b) a)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 a b))))
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (+.f64 b a)) #s(literal 2 binary64)) (-.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 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) (*.f64 a a))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) #s(literal 2 binary64)) (-.f64 b a))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 a b) (PI.f64)) (/.f64 (*.f64 b b) (PI.f64))))))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
Outputs
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
Calls

2 calls:

12.0ms
a
11.0ms
b
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes55.0ms (0.5%)

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

2 calls:

12.0ms
b
11.0ms
a
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes33.0ms (0.3%)

Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 a (PI.f64))) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (/.f64 (PI.f64) b)) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 a b)) (PI.f64)))
(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) (PI.f64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) (-.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (/.f64 #s(literal 1 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a (/.f64 b (PI.f64))))
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) b)))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 2 binary64)) (-.f64 b a))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) b) a)
Outputs
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) b)))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 2 binary64)) (-.f64 b a))
Calls

2 calls:

23.0ms
a
8.0ms
b
Results
AccuracySegmentsBranch
98.2%2a
99.7%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

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

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
99.7%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.2%)

Counts
25 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 a (PI.f64))) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (/.f64 (PI.f64) b)) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 a b)) (PI.f64)))
(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) (PI.f64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) (-.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (/.f64 #s(literal 1 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a (/.f64 b (PI.f64))))
Outputs
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a (/.f64 b (PI.f64))))
Calls

2 calls:

18.0ms
a
7.0ms
b
Results
AccuracySegmentsBranch
95.2%2a
95.8%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.3%)

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

2 calls:

21.0ms
a
7.0ms
b
Results
AccuracySegmentsBranch
95.2%2a
94.7%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts
22 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 a (PI.f64))) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (/.f64 (PI.f64) b)) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 a b)) (PI.f64)))
(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) (PI.f64)))
Outputs
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a b))
Calls

2 calls:

8.0ms
b
6.0ms
a
Results
AccuracySegmentsBranch
94.7%2b
93.7%2a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 b (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 a (PI.f64))) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (/.f64 (PI.f64) b)) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 a b)) (PI.f64)))
(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (*.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 a #s(literal 1/2 binary64)))
Outputs
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a)
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
94.7%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
94.7%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
b
1.0ms
a
Results
AccuracySegmentsBranch
59.9%1a
59.9%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch3.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
2.0ms
3.959915935806049e+128
2.0154381189354587e+129
Results
2.0ms16×0valid
Compiler

Compiled 56 to 39 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 1.0ms (80.6% of total)
ival-pi: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
13.0ms
6.88848404417803e+120
3.2609840166554412e+125
Results
10.0ms80×0valid
Compiler

Compiled 158 to 114 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-pi: 2.0ms (26.4% of total)
ival-div: 2.0ms (26.4% of total)
ival-mult: 2.0ms (26.4% of total)
ival-sub: 1.0ms (13.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.2194148815424005e-65
1.6093507257547587e-62
Results
13.0ms128×0valid
Compiler

Compiled 236 to 171 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (43.7% of total)
ival-mult: 4.0ms (43.7% of total)
ival-pi: 1.0ms (10.9% of total)
ival-sub: 1.0ms (10.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-1.8308000289740575e-87
-1.0625382255836963e-87
Results
6.0ms64×0valid
Compiler

Compiled 132 to 95 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (43.8% of total)
ival-mult: 2.0ms (43.8% of total)
ival-sub: 1.0ms (21.9% 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
1.2194148815424005e-65
1.6093507257547587e-62
Results
14.0ms128×0valid
Compiler

Compiled 220 to 163 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (40.5% of total)
ival-mult: 3.0ms (30.4% of total)
ival-pi: 1.0ms (10.1% of total)
ival-sub: 1.0ms (10.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.2194148815424005e-65
1.6093507257547587e-62
Results
15.0ms128×0valid
Compiler

Compiled 220 to 163 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 5.0ms (46.1% of total)
ival-mult: 3.0ms (27.7% of total)
ival-pi: 1.0ms (9.2% of total)
ival-sub: 1.0ms (9.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.2194148815424005e-65
1.6093507257547587e-62
Results
15.0ms128×0valid
Compiler

Compiled 220 to 163 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (51.3% of total)
ival-div: 3.0ms (25.7% of total)
ival-pi: 1.0ms (8.6% of total)
ival-sub: 1.0ms (8.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
26×*-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
068220
185220
296220
3104220
4110220
5112220
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) #s(literal 2 binary64)) (-.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)))
(if (<=.f64 b #s(literal 499999999999999999108721782092620707994464434379706250218271669864970200952952324748557883071134280004888587983375832688116105216 binary64)) (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) b))) (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 2 binary64)) (-.f64 b a)))
(if (<=.f64 b #s(literal 499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) b))) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) b))
(if (<=.f64 b #s(literal 5039271723608001/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a (/.f64 b (PI.f64)))))
(if (<=.f64 a #s(literal -8063081071840095/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a b)))
(if (<=.f64 b #s(literal 6854891682849119/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a b)))
(if (<=.f64 b #s(literal 182372540548773/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(if (<=.f64 b #s(literal 6373196591621883/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
Outputs
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) #s(literal 2 binary64)) (-.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 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)))
(if (<=.f64 b #s(literal 499999999999999999108721782092620707994464434379706250218271669864970200952952324748557883071134280004888587983375832688116105216 binary64)) (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) b))) (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 2 binary64)) (-.f64 b a)))
(if (<=.f64 b #s(literal 499999999999999999108721782092620707994464434379706250218271669864970200952952324748557883071134280004888587983375832688116105216 binary64)) (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 a b) (*.f64 b #s(literal 2 binary64)))) (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 2 binary64)) (-.f64 b a)))
(if (<=.f64 b #s(literal 499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) b))) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) b))
(if (<=.f64 b #s(literal 499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 a b) (*.f64 b #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) b))
(if (<=.f64 b #s(literal 5039271723608001/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a (/.f64 b (PI.f64)))))
(if (<=.f64 a #s(literal -8063081071840095/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a b)))
(if (<=.f64 a #s(literal -8063081071840095/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal -1/2 binary64)) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a b)))
(if (<=.f64 b #s(literal 6854891682849119/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a b)))
(if (<=.f64 b #s(literal 182372540548773/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(if (<=.f64 b #s(literal 182372540548773/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) a))) a) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(if (<=.f64 b #s(literal 6373196591621883/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(if (<=.f64 b #s(literal 6373196591621883/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (PI.f64) b) (/.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))

soundness3.1s (26.2%)

Rules
6206×*-lowering-*.f32
6206×*-lowering-*.f64
6120×*-lowering-*.f32
6120×*-lowering-*.f64
5522×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07677577
126826109
087906109
01516
14215
210515
340415
4165815
5496315
0847615
034182
1237180
22452180
08930180
024100
115494
2118094
0850194
02367
119067
2208267
0886167
027129
1192120
22009120
08831120
08245112
128754169
094084169
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 705 to 414 computations (41.3% saved)

preprocess154.0ms (1.3%)

Compiler

Compiled 714 to 298 computations (58.3% saved)

end0.0ms (0%)

Profiling

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