NMSE Section 6.1 mentioned, B

Time bar (total: 11.1s)

analyze173.0ms (1.6%)

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: 110.0ms
ival-mult: 53.0ms (48.1% of total)
ival-div: 36.0ms (32.7% of total)
ival-sub: 11.0ms (10% of total)
ival-pi: 7.0ms (6.4% of total)
const: 2.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

sample1.7s (15.2%)

Results
1.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-div: 610.0ms (58.1% of total)
ival-mult: 264.0ms (25.2% of total)
ival-sub: 115.0ms (11% of total)
ival-pi: 40.0ms (3.8% of total)
const: 17.0ms (1.6% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess233.0ms (2.1%)

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)

explain154.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
351(-5.336214515115097e+221 1.7086734795876555e-120)4(-3.721902830805649e+157 4.8761357358174365e-192)(*.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)))
100-0-(-.f64 (*.f64 b b) (*.f64 a a))
50-0-(/.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
01(2.2310765309562535e-186 6.824454994064759e+161)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
98.0ms512×0valid
Compiler

Compiled 183 to 47 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 16.0ms (40.3% of total)
ival-mult: 13.0ms (32.8% of total)
ival-sub: 5.0ms (12.6% of total)
ival-pi: 4.0ms (10.1% 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
▶87.6%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
▶80.1%
(*.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 42 to 27 computations (35.7% saved)

simplify179.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 1 (0.0ms)

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

localize107.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy87.7%
(/.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))))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
✓accuracy96.4%
(-.f64 (*.f64 b b) (*.f64 a a))
✓accuracy88.3%
(*.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
78.0ms256×0valid
Compiler

Compiled 134 to 24 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 13.0ms (41.7% of total)
ival-mult: 10.0ms (32.1% of total)
ival-sub: 5.0ms (16% of total)
ival-add: 2.0ms (6.4% of total)
ival-pi: 1.0ms (3.2% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.2%)

Counts
10 → 168
Calls
Call 1
Inputs
#<alt (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))>
#<alt (* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))>
#<alt (/ (PI) 2)>
#<alt (PI)>
#<alt (/ (- (/ (PI) a) (/ (PI) b)) (* (+ b a) (* 2 (- b a))))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (/ (PI) a)>
#<alt (- (* b b) (* a a))>
#<alt (/ 1 (- (* b b) (* a a)))>
#<alt (/ (PI) b)>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (PI) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (* -1 (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (* -1 (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (* -1 (/ (PI) b))>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (PI) a)>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (/ (PI) a)>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (* -1 (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (/ -1 (pow a 2))>
#<alt (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))>
#<alt (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))>
#<alt (+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (/ -1 (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))>
#<alt (/ -1 (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
Calls

42 calls:

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

rewrite387.0ms (3.5%)

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))

simplify277.0ms (2.5%)

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)

eval138.0ms (1.2%)

Compiler

Compiled 34775 to 2958 computations (91.5% saved)

prune143.0ms (1.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New1013181031
Fresh000
Picked202
Done000
Total1015181033
Accuracy
100.0%
Counts
1033 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.0%
(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))))))
81.8%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64)) b) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
▶99.6%
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
87.5%
(/.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 b (PI.f64))) a) (*.f64 a (/.f64 b (PI.f64)))) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
53.2%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
58.9%
(/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
45.3%
(/.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))
▶51.0%
(/.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))
80.1%
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
▶79.7%
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 b a))
80.1%
(/.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))
▶56.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
▶99.2%
(/.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))))
83.2%
(+.f64 (fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))))))
51.2%
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
99.6%
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal -1 binary64)))
45.2%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 800 to 484 computations (39.5% saved)

simplify182.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 b a))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
✓cost-diff128
(-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a))
✓cost-diff512
(*.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))))
✓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 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) (*.f64 a a))
✓cost-diff128
(+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)))
✓cost-diff0
(*.f64 (*.f64 a a) b)
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
✓cost-diff0
(/.f64 (PI.f64) a)
✓cost-diff0
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
✓cost-diff0
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
Rules
4874×*-lowering-*.f32
4874×*-lowering-*.f64
2648×/-lowering-/.f32
2648×/-lowering-/.f64
1806×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037273
1114265
2338263
31332251
47526251
08027251
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a))) (+ b a))
(/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a)))
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
a
(/ (PI) b)
b
(* 2 (- b a))
2
(- b a)
(+ b a)
(/ (* 1/2 (PI)) (* (* a a) b))
(* 1/2 (PI))
1/2
(PI)
(* (* a a) b)
(* a a)
a
b
(/ (+ (/ (* (PI) -1/2) a) (* 1/2 (/ (PI) b))) (* a a))
(+ (/ (* (PI) -1/2) a) (* 1/2 (/ (PI) b)))
(/ (* (PI) -1/2) a)
(* (PI) -1/2)
(PI)
-1/2
a
(* 1/2 (/ (PI) b))
1/2
(/ (PI) b)
b
(* a a)
(/ 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)
(/ (* (- (* (PI) b) (* (PI) a)) (/ 1 (* 2 (- (* b b) (* a a))))) (* b a))
(* (- (* (PI) b) (* (PI) a)) (/ 1 (* 2 (- (* b b) (* a a)))))
(- (* (PI) b) (* (PI) a))
(* (PI) b)
(PI)
b
(* (PI) a)
a
(/ 1 (* 2 (- (* b b) (* a a))))
1
(* 2 (- (* b b) (* a a)))
2
(- (* b b) (* a a))
(* b b)
(* a a)
(* b a)
Outputs
(/ (/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a))) (+ b a))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
(/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(/ (PI) b)
(/.f64 (PI.f64) b)
b
(* 2 (- b a))
(*.f64 #s(literal 2 binary64) (-.f64 b a))
2
#s(literal 2 binary64)
(- b a)
(-.f64 b a)
(+ b a)
(+.f64 a b)
(/ (* 1/2 (PI)) (* (* a a) b))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) a)
(* 1/2 (PI))
(/.f64 (PI.f64) #s(literal 2 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
(* (* a a) b)
(*.f64 a (*.f64 a b))
(* a a)
(*.f64 a a)
a
b
(/ (+ (/ (* (PI) -1/2) a) (* 1/2 (/ (PI) b))) (* a a))
(*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a)))
(+ (/ (* (PI) -1/2) a) (* 1/2 (/ (PI) b)))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
(/ (* (PI) -1/2) a)
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))
(* (PI) -1/2)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)
a
(* 1/2 (/ (PI) b))
(/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ (PI) b)
(/.f64 (PI.f64) b)
b
(* a a)
(*.f64 a a)
(/ 1 (/ (* 2 (- b a)) (/ (- (/ (PI) a) (/ (PI) b)) (+ b a))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.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)
(/ (* (- (* (PI) b) (* (PI) a)) (/ 1 (* 2 (- (* b b) (* a a))))) (* b a))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 a b))) #s(literal 2 binary64)) a)
(* (- (* (PI) b) (* (PI) a)) (/ 1 (* 2 (- (* b b) (* a a)))))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(- (* (PI) b) (* (PI) a))
(*.f64 (PI.f64) (-.f64 b a))
(* (PI) b)
(*.f64 (PI.f64) b)
(PI)
(PI.f64)
b
(* (PI) a)
(*.f64 (PI.f64) a)
a
(/ 1 (* 2 (- (* b b) (* a a))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b))
1
#s(literal 1 binary64)
(* 2 (- (* b b) (* a a)))
(*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b))
2
#s(literal 2 binary64)
(- (* b b) (* a a))
(-.f64 (*.f64 b b) (*.f64 a a))
(* b b)
(*.f64 b b)
(* a a)
(*.f64 a a)
(* b a)
(*.f64 a b)

localize420.0ms (3.8%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 (PI.f64) a)
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
✓accuracy96.4%
(-.f64 (*.f64 b b) (*.f64 a a))
✓accuracy58.1%
(*.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))))
✓accuracy99.7%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a))
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy99.3%
(/.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 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)))
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy99.6%
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)
✓accuracy92.9%
(/.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))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
✓accuracy87.6%
(*.f64 (*.f64 a a) b)
✓accuracy99.8%
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
✓accuracy99.7%
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy99.6%
(/.f64 (PI.f64) a)
Results
363.0ms256×0valid
Compiler

Compiled 307 to 38 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-div: 20.0ms (39.8% of total)
ival-mult: 19.0ms (37.8% of total)
ival-sub: 6.0ms (11.9% of total)
ival-add: 3.0ms (6% of total)
ival-pi: 1.0ms (2% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series42.0ms (0.4%)

Counts
24 → 456
Calls
Call 1
Inputs
#<alt (/ (/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a))) (+ b a))>
#<alt (/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a)))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (/ (PI) a)>
#<alt (/ (* 1/2 (PI)) (* (* a a) b))>
#<alt (* 1/2 (PI))>
#<alt (PI)>
#<alt (* (* a a) b)>
#<alt (+ (/ (* (PI) -1/2) a) (* 1/2 (/ (PI) b)))>
#<alt (/ (+ (/ (* (PI) -1/2) a) (* 1/2 (/ (PI) b))) (* 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 (* (- (* (PI) b) (* (PI) a)) (/ 1 (* 2 (- (* b b) (* a a)))))>
#<alt (- (* (PI) b) (* (PI) a))>
#<alt (/ 1 (* 2 (- (* b b) (* a a))))>
#<alt (/ (* (- (* (PI) b) (* (PI) a)) (/ 1 (* 2 (- (* b b) (* a a))))) (* b a))>
#<alt (/ (PI) b)>
#<alt (/ (- (/ (PI) a) (/ (PI) b)) (+ b a))>
#<alt (- (* b b) (* a a))>
#<alt (* (PI) a)>
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 (* -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) a))>
#<alt (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))>
#<alt (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))>
#<alt (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))>
#<alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))>
#<alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))>
#<alt (* -1 (* a (PI)))>
#<alt (- (* b (PI)) (* a (PI)))>
#<alt (- (* b (PI)) (* a (PI)))>
#<alt (- (* b (PI)) (* a (PI)))>
#<alt (* b (PI))>
#<alt (* b (+ (PI) (* -1 (/ (* a (PI)) b))))>
#<alt (* b (+ (PI) (* -1 (/ (* a (PI)) b))))>
#<alt (* b (+ (PI) (* -1 (/ (* a (PI)) b))))>
#<alt (* b (PI))>
#<alt (* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))>
#<alt (* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))>
#<alt (* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))>
#<alt (* b (PI))>
#<alt (+ (* -1 (* a (PI))) (* b (PI)))>
#<alt (+ (* -1 (* a (PI))) (* b (PI)))>
#<alt (+ (* -1 (* a (PI))) (* b (PI)))>
#<alt (* -1 (* a (PI)))>
#<alt (* a (- (/ (* b (PI)) a) (PI)))>
#<alt (* a (- (/ (* b (PI)) a) (PI)))>
#<alt (* a (- (/ (* b (PI)) a) (PI)))>
#<alt (* -1 (* a (PI)))>
#<alt (* -1 (* a (- (* -1 (/ (* b (PI)) a)) (* -1 (PI)))))>
#<alt (* -1 (* a (- (* -1 (/ (* b (PI)) a)) (* -1 (PI)))))>
#<alt (* -1 (* a (- (* -1 (/ (* b (PI)) a)) (* -1 (PI)))))>
#<alt (/ -1/2 (pow a 2))>
#<alt (- (* -1/2 (/ (pow b 2) (pow a 4))) (* 1/2 (/ 1 (pow a 2))))>
#<alt (- (* (pow b 2) (- (* -1/2 (/ (pow b 2) (pow a 6))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))>
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1/2 (/ (pow b 2) (pow a 8))) (* 1/2 (/ 1 (pow a 6))))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow a 4) (pow b 4)))) (* -1/2 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow a 6) (pow b 6)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* -1/2 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow a 4) (pow b 4)))) (* -1/2 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow a 6) (pow b 6)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* -1/2 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (+ (* 1/2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))>
#<alt (+ (* (pow a 2) (+ (* 1/2 (/ (pow a 2) (pow b 6))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 2))))>
#<alt (+ (* (pow a 2) (+ (* (pow a 2) (+ (* 1/2 (/ (pow a 2) (pow b 8))) (* 1/2 (/ 1 (pow b 6))))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 2))))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ (- (* -1/2 (/ (pow b 2) (pow a 2))) 1/2) (pow a 2))>
#<alt (/ (- (* -1/2 (/ (pow b 4) (pow a 4))) (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2))))) (pow a 2))>
#<alt (/ (- (* -1/2 (/ (pow b 6) (pow a 6))) (+ 1/2 (+ (* 1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ (pow b 4) (pow a 4)))))) (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ (- (* -1/2 (/ (pow b 2) (pow a 2))) 1/2) (pow a 2))>
#<alt (/ (- (* -1/2 (/ (pow b 4) (pow a 4))) (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2))))) (pow a 2))>
#<alt (/ (- (* -1/2 (/ (pow b 6) (pow a 6))) (+ 1/2 (+ (* 1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ (pow b 4) (pow a 4)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (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 (/ (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 b))>
#<alt (/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)>
#<alt (/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)>
#<alt (/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)>
#<alt (* -1 (/ (PI) (* a b)))>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)>
#<alt (* -1 (/ (PI) (* a b)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (PI) (* -1 (PI))) a)) (/ (PI) b)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (* b (- (PI) (* -1 (PI)))) a))) (* -1 (PI))) a)) (/ (PI) b)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) a)) (* -1 (* b (- (PI) (* -1 (PI)))))) a))) (* -1 (PI))) a)) (/ (PI) b)) a))>
#<alt (* -1 (/ (PI) (* a b)))>
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)>
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)>
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)>
#<alt (/ (PI) (* a b))>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)>
#<alt (/ (PI) (* a b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))>
#<alt (* -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 (* a (PI))>
#<alt (* a (PI))>
#<alt (* a (PI))>
#<alt (* a (PI))>
#<alt (* a (PI))>
#<alt (* a (PI))>
#<alt (* a (PI))>
#<alt (* a (PI))>
#<alt (* a (PI))>
#<alt (* a (PI))>
#<alt (* a (PI))>
#<alt (* a (PI))>
Calls

114 calls:

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

rewrite428.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
3306×*-lowering-*.f32
3306×*-lowering-*.f64
2820×fma-lowering-fma.f32
2820×fma-lowering-fma.f64
1748×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037195
1281185
22853185
08187185
Stop Event
1×iter limit
1×node limit
Counts
24 → 1189
Calls
Call 1
Inputs
(/ (/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a))) (+ b a))
(/ (- (/ (PI) a) (/ (PI) b)) (* 2 (- b a)))
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(/ (* 1/2 (PI)) (* (* a a) b))
(* 1/2 (PI))
(PI)
(* (* a a) b)
(+ (/ (* (PI) -1/2) a) (* 1/2 (/ (PI) b)))
(/ (+ (/ (* (PI) -1/2) a) (* 1/2 (/ (PI) b))) (* 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)
(* (- (* (PI) b) (* (PI) a)) (/ 1 (* 2 (- (* b b) (* a a)))))
(- (* (PI) b) (* (PI) a))
(/ 1 (* 2 (- (* b b) (* a a))))
(/ (* (- (* (PI) b) (* (PI) a)) (/ 1 (* 2 (- (* b b) (* a a))))) (* b a))
(/ (PI) b)
(/ (- (/ (PI) a) (/ (PI) b)) (+ b a))
(- (* b b) (* a a))
(* (PI) a)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) 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))))
(-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b))) (/.f64 (/.f64 (PI.f64) b) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b))))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 a b)))
(neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (-.f64 #s(literal 0 binary64) (+.f64 a b))))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b))) (*.f64 b (-.f64 #s(literal 0 binary64) a))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (-.f64 b a) #s(literal -2 binary64))) (+.f64 a b)))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal -2 binary64))) (*.f64 a b)))
(/.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 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 a b))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 b (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b))))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b)) (*.f64 a b)))
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(+.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 0 binary64) (*.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 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)) (fma.f64 (neg.f64 (pow.f64 a #s(literal 1 binary64))) (pow.f64 a #s(literal 1 binary64)) (*.f64 a a)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 b b))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)) (-.f64 (*.f64 b b) (*.f64 a a)))
(+.f64 (*.f64 (+.f64 a b) b) (*.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 b (+.f64 a b)) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 a b)))
(-.f64 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 b b) (-.f64 (*.f64 a a) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 a a) (*.f64 b b))))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 a a) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 a a) (*.f64 b b))))
(fma.f64 a (-.f64 #s(literal 0 binary64) a) (*.f64 b b))
(fma.f64 b b (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(fma.f64 b b (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a))))
(fma.f64 b b (neg.f64 (-.f64 (*.f64 a a) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)))))
(fma.f64 b (+.f64 a b) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 a b)))
(fma.f64 (-.f64 b a) (+.f64 a b) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)))
(fma.f64 (-.f64 b a) (+.f64 a b) (+.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))))
(fma.f64 (+.f64 a b) b (*.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (+.f64 a b) (-.f64 b a) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)))
(fma.f64 (+.f64 a b) (-.f64 b 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))))
(fma.f64 (-.f64 #s(literal 0 binary64) a) a (*.f64 b b))
(fma.f64 #s(literal -1 binary64) (*.f64 a a) (*.f64 b b))
(fma.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 a a) (*.f64 b b))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)))
(fma.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 a a) (*.f64 b b))))) (+.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))))
(fma.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b b))) (+.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 a a) (*.f64 b b))) (+.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))))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a))))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (neg.f64 (-.f64 (*.f64 a a) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 a a) (*.f64 b b)))) (-.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 a a) (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.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 a) (+.f64 (*.f64 a a) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 a a) (*.f64 b b)))
(/.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 a b)))))
(/.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 a b)))))
(/.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 a a) (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (*.f64 a a) (*.f64 b b))))
(/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 a a))) (*.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)) #s(literal 3 binary64))) (+.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 b (*.f64 b (*.f64 b b))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))) (-.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.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 a b) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 a b))
(/.f64 (*.f64 (+.f64 a b) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b))))
(/.f64 (*.f64 (-.f64 (*.f64 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))))
(pow.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (+.f64 (*.f64 a a) (*.f64 b b)))) (-.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 a a) (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))
(*.f64 (-.f64 b a) (+.f64 a b))
(*.f64 (+.f64 a b) (-.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 a a) (*.f64 b b))))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b b))))
(*.f64 (PI.f64) a)
(*.f64 a (PI.f64))
(*.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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (*.f64 a #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 a (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

simplify463.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
6292×*-lowering-*.f32
6292×*-lowering-*.f64
4002×+-lowering-+.f64
4002×+-lowering-+.f32
1286×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08497257
129316058
088016058
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(* -1 (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(* -1 (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(* -1 (/ (PI) b))
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (PI) a)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(/ (PI) a)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
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(/ (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1/2 (* 1/2 (/ (pow a 4) (pow b 4)))) (* -1/2 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1/2 (* 1/2 (/ (pow a 6) (pow b 6)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* -1/2 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ 1/2 (pow b 2))
(/ (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1/2 (* 1/2 (/ (pow a 4) (pow b 4)))) (* -1/2 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1/2 (* 1/2 (/ (pow a 6) (pow b 6)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* -1/2 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ 1/2 (pow b 2))
(+ (* 1/2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))
(+ (* (pow a 2) (+ (* 1/2 (/ (pow a 2) (pow b 6))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 2))))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (* 1/2 (/ (pow a 2) (pow b 8))) (* 1/2 (/ 1 (pow b 6))))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 2))))
(/ -1/2 (pow a 2))
(/ (- (* -1/2 (/ (pow b 2) (pow a 2))) 1/2) (pow a 2))
(/ (- (* -1/2 (/ (pow b 4) (pow a 4))) (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2))))) (pow a 2))
(/ (- (* -1/2 (/ (pow b 6) (pow a 6))) (+ 1/2 (+ (* 1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ (pow b 4) (pow a 4)))))) (pow a 2))
(/ -1/2 (pow a 2))
(/ (- (* -1/2 (/ (pow b 2) (pow a 2))) 1/2) (pow a 2))
(/ (- (* -1/2 (/ (pow b 4) (pow a 4))) (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2))))) (pow a 2))
(/ (- (* -1/2 (/ (pow b 6) (pow a 6))) (+ 1/2 (+ (* 1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ (pow b 4) (pow a 4)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (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))
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) (* a b))
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(* -1 (/ (PI) (* a b)))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)
(* -1 (/ (PI) (* a b)))
(* -1 (/ (+ (* -1 (/ (- (PI) (* -1 (PI))) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (* b (- (PI) (* -1 (PI)))) a))) (* -1 (PI))) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) a)) (* -1 (* b (- (PI) (* -1 (PI)))))) a))) (* -1 (PI))) a)) (/ (PI) b)) a))
(* -1 (/ (PI) (* a b)))
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (PI) (* a b))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)
(/ (PI) (* a b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(* -1 (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))
(* a (PI))
(* a (PI))
(* a (PI))
(* a (PI))
(* a (PI))
(* a (PI))
(* a (PI))
(* a (PI))
(* a (PI))
(* a (PI))
(* a (PI))
(* a (PI))
Outputs
(* 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 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)) (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 a (*.f64 #s(literal -1/2 binary64) (+.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 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (*.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)))))))))) 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 (*.f64 #s(literal 1/2 binary64) (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 (*.f64 #s(literal 1/2 binary64) (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 (*.f64 #s(literal 1/2 binary64) (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 (*.f64 #s(literal 1/2 binary64) (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 (*.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))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (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 (*.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 (-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 a a)) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) b))))) 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)
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(-.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 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (*.f64 a a) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (*.f64 a a) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))
(* -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 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (*.f64 a a) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (*.f64 a a) (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))
(* a (PI))
(*.f64 (PI.f64) a)
(* a (PI))
(*.f64 (PI.f64) a)
(* a (PI))
(*.f64 (PI.f64) a)
(* a (PI))
(*.f64 (PI.f64) a)
(* a (PI))
(*.f64 (PI.f64) a)
(* a (PI))
(*.f64 (PI.f64) a)
(* a (PI))
(*.f64 (PI.f64) a)
(* a (PI))
(*.f64 (PI.f64) a)
(* a (PI))
(*.f64 (PI.f64) a)
(* a (PI))
(*.f64 (PI.f64) a)
(* a (PI))
(*.f64 (PI.f64) a)
(* a (PI))
(*.f64 (PI.f64) a)

eval372.0ms (3.3%)

Compiler

Compiled 58637 to 5833 computations (90.1% saved)

prune282.0ms (2.5%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New2198162214
Fresh12113
Picked325
Done000
Total2213192232
Accuracy
100.0%
Counts
2232 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.8%
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b))) a) b)
56.9%
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) a) b)
64.1%
(/.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
98.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
66.8%
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 a #s(literal -2 binary64))) (+.f64 b a))
63.5%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
▶53.2%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
58.0%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.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))))
✓51.0%
(/.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))
45.8%
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) (*.f64 b a))
63.2%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
▶99.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) (+.f64 b a))
✓56.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
53.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
▶61.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 a b))))
99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) (-.f64 b a)))
53.1%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 b b) (PI.f64)))))
▶63.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
Compiler

Compiled 534 to 362 computations (32.2% saved)

simplify337.0ms (3%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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))))
✓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 (PI.f64) (*.f64 a b)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 a b))))
✓cost-diff0
(/.f64 (PI.f64) b)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) 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
(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))
Rules
3244×*-lowering-*.f32
3244×*-lowering-*.f64
2142×/-lowering-/.f32
2142×/-lowering-/.f64
1908×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027185
163184
2201182
3548181
41545181
55027181
08050181
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* 1/2 (/ (PI) (* a b))) (+ b a))
(* 1/2 (/ (PI) (* a b)))
1/2
(/ (PI) (* a b))
(PI)
(* a b)
a
b
(+ b a)
(* (/ 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 (- b a)) (/ (PI) (* a b))))
1
(/ (* 2 (- b a)) (/ (PI) (* a b)))
(* 2 (- b a))
2
(- b a)
b
a
(/ (PI) (* a b))
(PI)
(* a b)
(/ (/ 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)
Outputs
(/ (* 1/2 (/ (PI) (* a b))) (+ b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 a b))) (PI.f64)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64))))
1/2
#s(literal 1/2 binary64)
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(PI)
(PI.f64)
(* a b)
(*.f64 a b)
a
b
(+ b a)
(+.f64 a b)
(* (/ 1/2 a) (/ (PI) (* a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64)))) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(PI)
(PI.f64)
(* a b)
(*.f64 a b)
b
(/ (/ (* 1/2 (/ (PI) b)) b) a)
(/.f64 (PI.f64) (*.f64 b (*.f64 a (*.f64 b #s(literal 2 binary64)))))
(/ (* 1/2 (/ (PI) b)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) b)
(* 1/2 (/ (PI) b))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)
1/2
#s(literal 1/2 binary64)
(/ (PI) b)
(/.f64 (PI.f64) b)
(PI)
(PI.f64)
b
a
(/ 1 (/ (* 2 (- b a)) (/ (PI) (* a b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 b (-.f64 b a)) (PI.f64))))
1
#s(literal 1 binary64)
(/ (* 2 (- b a)) (/ (PI) (* a b)))
(*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b (-.f64 b a))) (PI.f64)))
(* 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 b))
(/.f64 (PI.f64) (*.f64 a b))
(PI)
(PI.f64)
(* a b)
(*.f64 a b)
(/ (/ 1/2 (- b a)) (/ (+ a b) (- (/ (PI) a) (/ (PI) b))))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 a b))))
(/ 1/2 (- b a))
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
1/2
#s(literal 1/2 binary64)
(- b a)
(-.f64 b a)
b
a
(/ (+ a b) (- (/ (PI) a) (/ (PI) b)))
(/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(+ a 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)

localize212.0ms (1.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
✓accuracy99.6%
(/.f64 (PI.f64) b)
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 a b)))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 a b))))
✓accuracy99.2%
(/.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)
✓accuracy88.0%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
✓accuracy100.0%
(*.f64 a b)
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
✓accuracy99.2%
(/.f64 (PI.f64) (*.f64 a b))
✓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))
✓accuracy99.2%
(/.f64 (PI.f64) (*.f64 a b))
Results
154.0ms256×0valid
Compiler

Compiled 189 to 28 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 28.0ms (63.3% of total)
ival-mult: 9.0ms (20.3% of total)
ival-sub: 3.0ms (6.8% of total)
ival-add: 3.0ms (6.8% of total)
ival-pi: 1.0ms (2.3% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

series32.0ms (0.3%)

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

93 calls:

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

rewrite394.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
4910×*-lowering-*.f32
4910×*-lowering-*.f64
4320×/-lowering-/.f32
4320×/-lowering-/.f64
2318×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027130
1203124
22029124
08797124
Stop Event
1×iter limit
1×node limit
Counts
19 → 556
Calls
Call 1
Inputs
(/ (* 1/2 (/ (PI) (* a b))) (+ b a))
(* 1/2 (/ (PI) (* a b)))
(/ (PI) (* a b))
(PI)
(* (/ 1/2 a) (/ (PI) (* a b)))
(/ 1/2 a)
(/ (/ (* 1/2 (/ (PI) b)) b) a)
(/ (* 1/2 (/ (PI) b)) b)
(* 1/2 (/ (PI) b))
(/ (PI) b)
(/ 1 (/ (* 2 (- b a)) (/ (PI) (* a b))))
(/ (* 2 (- b a)) (/ (PI) (* a b)))
(* 2 (- b a))
(- b a)
(/ (/ 1/2 (- b a)) (/ (+ a b) (- (/ (PI) a) (/ (PI) b))))
(/ 1/2 (- b a))
(/ (+ a b) (- (/ (PI) a) (/ (PI) b)))
(* a b)
(/ (PI) a)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a) (-.f64 #s(literal 0 binary64) (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal -1/2 binary64)) (+.f64 a b)))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a) (+.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 a b)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a) #s(literal 1 binary64)) (+.f64 a b))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (+.f64 a b))) (*.f64 a b))
(pow.f64 (/.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (+.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a) (+.f64 a b)))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (+.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a) (-.f64 (*.f64 a a) (*.f64 b b))) (-.f64 a b))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a))
(*.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b)
(/.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 a (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (*.f64 a (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 a (-.f64 #s(literal 0 binary64) b)))
(pow.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 b (PI.f64))) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a b) (PI.f64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (PI.f64) (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) b) a)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a b) (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (PI.f64) a)))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a b) (PI.f64))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 a (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (/.f64 (PI.f64) a)) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 a b) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 a b) (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (/.f64 (PI.f64) a)) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 a b)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a b)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (PI.f64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) a) (/.f64 (cbrt.f64 (PI.f64)) b))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) b) (/.f64 (cbrt.f64 (PI.f64)) a))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(*.f64 (pow.f64 (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 b (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 b (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(fabs.f64 (PI.f64))
(-.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a b) (PI.f64)) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 a b) (PI.f64))))
(/.f64 (PI.f64) (*.f64 (*.f64 a b) (/.f64 a #s(literal 1/2 binary64))))
(/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 a b) (PI.f64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (PI.f64)) (/.f64 a #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 (*.f64 a b) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (PI.f64) a) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 a b) (PI.f64)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a b) (PI.f64))))
(/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (*.f64 a b))
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(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 #s(literal 0 binary64) (-.f64 b a))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a))) (*.f64 (+.f64 a b) (*.f64 a b)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 b (*.f64 b b))))) (*.f64 (+.f64 a b) (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (/.f64 (PI.f64) (*.f64 (/.f64 b (PI.f64)) b)))) (*.f64 (+.f64 a b) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a))) (*.f64 a b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 b (*.f64 b b))))) (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (/.f64 (PI.f64) (*.f64 (/.f64 b (PI.f64)) b)))) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))) (-.f64 b a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))) (-.f64 #s(literal 0 binary64) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (+.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (-.f64 b a))
(pow.f64 (/.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(*.f64 #s(literal 1 binary64) (/.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 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))
(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 #s(literal 0 binary64) (+.f64 a b))) (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)))
(*.f64 (pow.f64 (/.f64 (+.f64 a b) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 #s(literal 1 binary64) (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) #s(literal -2 binary64)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b b) (*.f64 a (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 a b)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 b a)))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (-.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (-.f64 b a) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b))) (neg.f64 (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))))
(/.f64 (*.f64 (+.f64 a b) #s(literal 1 binary64)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))
(/.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (-.f64 a b))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (-.f64 b a))
(pow.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (+.f64 a b))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 a b) (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a))) (*.f64 a b))
(*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 b (*.f64 b b))))) (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)))))
(*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) (PI.f64)) a) (/.f64 (PI.f64) (*.f64 (/.f64 b (PI.f64)) b)))) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 a b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))))
(*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 (*.f64 a a) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 (*.f64 b b) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 a b)
(*.f64 b a)
(exp.f64 (*.f64 (log.f64 (/.f64 a (PI.f64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal -1 binary64) (neg.f64 (/.f64 a (PI.f64))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) a))
(/.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)))

simplify381.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
5492×*-lowering-*.f32
5492×*-lowering-*.f64
3372×+-lowering-+.f64
3372×+-lowering-+.f32
1966×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07194821
124754127
088454127
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
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)))
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(* -1 (/ (* a b) (PI)))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI))) a)) (/ b (PI)))))
(* -1 (* a (+ (* -1 (/ (- (+ (* -1 (/ (pow b 2) (PI))) (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) a)) (/ (pow b 2) (PI))) a)) (/ b (PI)))))
(* -1 (* a (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) a)) (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI))))) a)) (* -1 (/ (pow b 2) (PI)))) (/ (pow b 2) (PI))) a)) (/ b (PI)))))
(* -1 (/ (* a b) (PI)))
(* b (+ (* -2 (/ b (PI))) (* -1 (/ a (PI)))))
(* b (+ (* -1 (/ a (PI))) (* b (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI)))))))
(* b (+ (* -1 (/ a (PI))) (* b (- (* b (- (* -2 (/ b (* (pow a 2) (PI)))) (* 2 (/ 1 (* a (PI)))))) (* 2 (/ 1 (PI)))))))
(/ (* a b) (PI))
(* b (- (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI))))))
(* b (- (+ (/ a (PI)) (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2)) (/ (pow a 2) (* b (PI))))) (* -1 (/ (pow a 2) (* b (PI))))))
(* b (- (+ (/ a (PI)) (+ (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 3)) (/ (pow a 2) (* b (PI))))) (+ (* -1 (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (pow a 2) (* b (PI)))))))
(/ (* a b) (PI))
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))) b)))))
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b)))))
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b)) (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))))) b)) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b)))))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
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 (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (/.f64 (*.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.f64 b b))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (*.f64 a (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 b b)) (/.f64 (*.f64 #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) (PI.f64)) (*.f64 b b)) (*.f64 a (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 b b)) (*.f64 a (+.f64 (/.f64 (*.f64 #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 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (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 b (/.f64 (PI.f64) (*.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) a) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (*.f64 b (/.f64 (PI.f64) (*.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 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 (PI.f64) a))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) a)) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) b))) 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 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 (PI.f64) a))) (*.f64 a a))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) (*.f64 b (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 a a)) (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) b)) (pow.f64 a #s(literal 4 binary64)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) (*.f64 b (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 a a)) (*.f64 b (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.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) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) a) (*.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) b) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) a) (*.f64 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 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) 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 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (PI.f64)) b) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) b)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(* 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 (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.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 (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
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(/.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))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (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 (PI.f64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b)) #s(literal 0 binary64))) (/.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 a)
(/.f64 #s(literal -1/2 binary64) a)
(- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(/.f64 (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal -1/2 binary64)) a)
(- (* b (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+.f64 (*.f64 b (+.f64 (/.f64 (/.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) a) a) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 #s(literal -1/2 binary64) a))
(- (* b (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+.f64 (*.f64 b (+.f64 (*.f64 b (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (/.f64 #s(literal -1/2 binary64) a))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ (+ 1/2 (* 1/2 (/ a b))) b)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* -1/2 (/ a b))) b)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 a a) b) a)) b)) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ a b)) (* -1/2 (/ (pow a 2) (pow b 2))))) b)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 a a) (*.f64 b b))))) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(* -1 (/ (- (* -1/2 (/ a b)) 1/2) b))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) b)
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* -1/2 a)) b)) 1/2) b))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 a a) b) a)) (-.f64 #s(literal 0 binary64) b)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* -1/2 a)) b)) 1/2) b))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 a (*.f64 a a)) b) (*.f64 a a))) b)) (*.f64 #s(literal 1/2 binary64) a)) b)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) a) b) b))
(+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (*.f64 b b)))))))
(+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ (- (* -1/2 (/ b a)) 1/2) a)
(/.f64 (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal -1/2 binary64)) a)
(/ (- (* -1/2 (/ (pow b 2) (pow a 2))) (+ 1/2 (* 1/2 (/ b a)))) a)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 b b) a) b)) a) #s(literal 1/2 binary64)) a)
(/ (- (* -1/2 (/ (pow b 3) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ b a)) (* 1/2 (/ (pow b 2) (pow a 2)))))) a)
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a a))) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))))) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a))) a)
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 b b) a) b)) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a))) a))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b (*.f64 b b)) a) (*.f64 b b))) a)) (*.f64 b #s(literal -1/2 binary64))) a)) (-.f64 #s(literal 0 binary64) a))
(/ (* a b) (PI))
(*.f64 a (/.f64 b (PI.f64)))
(* a (+ (* 2 (/ a (PI))) (/ b (PI))))
(*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (PI.f64))) (/.f64 b (PI.f64))))
(* a (+ (* a (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))) (/ b (PI))))
(*.f64 a (+.f64 (/.f64 b (PI.f64)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (/.f64 a (*.f64 (PI.f64) b)) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(* a (+ (* a (+ (* a (+ (* 2 (/ a (* (pow b 2) (PI)))) (* 2 (/ 1 (* b (PI)))))) (* 2 (/ 1 (PI))))) (/ b (PI))))
(*.f64 a (+.f64 (/.f64 b (PI.f64)) (*.f64 a (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (*.f64 (PI.f64) (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) b))))))))
(* -1 (/ (* a b) (PI)))
(-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 b (PI.f64))))
(* a (- (+ (* -1 (/ b (PI))) (* -1 (/ (pow b 2) (* a (PI))))) (/ (pow b 2) (* a (PI)))))
(*.f64 a (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (PI.f64))) (/.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal -2 binary64)) a)))
(* 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)))))
(*.f64 a (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (PI.f64))) (+.f64 (/.f64 (*.f64 b (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal -2 binary64))) (*.f64 a a)) (/.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal -2 binary64)) a))))
(* 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))))))
(*.f64 a (-.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal -2 binary64))) (*.f64 a (*.f64 a a))) (/.f64 (/.f64 (*.f64 b b) (PI.f64)) a)) (/.f64 b (PI.f64))) (-.f64 (/.f64 (/.f64 (*.f64 b b) (PI.f64)) a) (/.f64 (*.f64 b (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal -2 binary64))) (*.f64 a a)))))
(* -1 (/ (* a b) (PI)))
(-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 b (PI.f64))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI))) a)) (/ b (PI)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 b (PI.f64)) (/.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal -2 binary64)) a)))
(* -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)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 b (PI.f64)) (/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal -2 binary64))) a) (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal -2 binary64))) a)))
(* -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)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 b (PI.f64)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) a)) (*.f64 b (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal -2 binary64))) a)))
(* -1 (/ (* a b) (PI)))
(-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 b (PI.f64))))
(* b (+ (* -2 (/ b (PI))) (* -1 (/ a (PI)))))
(*.f64 b (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) b) (PI.f64)) (/.f64 a (PI.f64))))
(* b (+ (* -1 (/ a (PI))) (* b (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI)))))))
(*.f64 b (-.f64 (*.f64 b (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) b) a) (PI.f64)) (/.f64 #s(literal -2 binary64) (PI.f64)))) (/.f64 a (PI.f64))))
(* b (+ (* -1 (/ a (PI))) (* b (- (* b (- (* -2 (/ b (* (pow a 2) (PI)))) (* 2 (/ 1 (* a (PI)))))) (* 2 (/ 1 (PI)))))))
(*.f64 b (-.f64 (*.f64 b (+.f64 (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a a))) (PI.f64)) (/.f64 #s(literal -2 binary64) (*.f64 (PI.f64) a)))) (/.f64 #s(literal -2 binary64) (PI.f64)))) (/.f64 a (PI.f64))))
(/ (* a b) (PI))
(*.f64 a (/.f64 b (PI.f64)))
(* b (- (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI))))))
(*.f64 b (+.f64 (/.f64 a (PI.f64)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64))) b)))
(* 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))))))
(*.f64 b (+.f64 (/.f64 a (PI.f64)) (+.f64 (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64))) (*.f64 b b))) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64))) b))))
(* 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)))))))
(*.f64 b (+.f64 (-.f64 (+.f64 (/.f64 (*.f64 a a) (*.f64 (PI.f64) b)) (+.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64))) (*.f64 b b))) (/.f64 a (PI.f64)))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64)))) (*.f64 b b))) (/.f64 (*.f64 a a) (*.f64 (PI.f64) b))))
(/ (* a b) (PI))
(*.f64 a (/.f64 b (PI.f64)))
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))) b)))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64))) (-.f64 #s(literal 0 binary64) b)) (/.f64 a (PI.f64))))
(* -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)))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64))) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64)))) b) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64)))) b)))
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b)) (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))))) b)) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b)))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64)))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64))))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (PI.f64)))) b)))
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(/ (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)

eval262.0ms (2.4%)

Compiler

Compiled 23604 to 3108 computations (86.8% saved)

prune171.0ms (1.5%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New138581393
Fresh9312
Picked325
Done112
Total1398141412
Accuracy
100.0%
Counts
1412 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) (+.f64 b a))
58.1%
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a) b)
▶63.5%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
✓53.2%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
63.5%
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 a #s(literal 1/2 binary64)))
99.6%
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (+.f64 a b)))
▶63.5%
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 a b) (PI.f64)))
63.2%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
✓56.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
▶53.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
58.2%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (PI.f64))) b) b))
63.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a b) (PI.f64)) a))
▶58.1%
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) b))
✓63.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
Compiler

Compiled 303 to 218 computations (28.1% saved)

simplify43.0ms (0.4%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
023127
159125
2150123
3290123
4416123
5506123
6587123
7618123
8665123
9684123
10688123
0688123
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (/ (/ (PI) (/ a 1/2)) b) (+ b a))
(/ (/ (PI) (/ a 1/2)) b)
(/ (PI) (/ a 1/2))
(PI)
(/ a 1/2)
a
1/2
b
(+ b a)
(* (/ (PI) (* a b)) (/ 1/2 b))
(/ (PI) (* a b))
(PI)
(* a b)
a
b
(/ 1/2 b)
1/2
(/ (* 1/2 (PI)) (* a (* b b)))
(* 1/2 (PI))
1/2
(PI)
(* a (* b b))
a
(* b b)
b
(/ (/ 1/2 a) (/ (* a b) (PI)))
(/ 1/2 a)
1/2
a
(/ (* a b) (PI))
(* a b)
b
(PI)
(/ (/ (* (PI) 1/2) a) (* a b))
(/ (* (PI) 1/2) a)
(* (PI) 1/2)
(PI)
1/2
a
(* a b)
b
Outputs
(/ (/ (/ (PI) (/ a 1/2)) b) (+ b a))
(/.f64 (PI.f64) (/.f64 (*.f64 a (*.f64 b (+.f64 a b))) #s(literal 1/2 binary64)))
(/ (/ (PI) (/ a 1/2)) b)
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64)))
(/ (PI) (/ a 1/2))
(/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64)))
(PI)
(PI.f64)
(/ a 1/2)
(/.f64 a #s(literal 1/2 binary64))
a
1/2
#s(literal 1/2 binary64)
b
(+ b a)
(+.f64 a b)
(* (/ (PI) (* a b)) (/ 1/2 b))
(/.f64 (PI.f64) (*.f64 b (/.f64 (*.f64 a b) #s(literal 1/2 binary64))))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(PI)
(PI.f64)
(* a b)
(*.f64 a b)
a
b
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
(/ (* 1/2 (PI)) (* a (* b b)))
(/.f64 (PI.f64) (*.f64 b (/.f64 (*.f64 a b) #s(literal 1/2 binary64))))
(* 1/2 (PI))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
(* a (* b b))
(*.f64 a (*.f64 b b))
a
(* b b)
(*.f64 b b)
b
(/ (/ 1/2 a) (/ (* a b) (PI)))
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 a #s(literal 1/2 binary64)))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(* a b)
(*.f64 a b)
b
(PI)
(PI.f64)
(/ (/ (* (PI) 1/2) a) (* a b))
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 a #s(literal 1/2 binary64)))
(/ (* (PI) 1/2) a)
(/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64)))
(* (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

localize193.0ms (1.7%)

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)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 a b) (PI.f64)))
✓accuracy99.5%
(/.f64 (*.f64 a b) (PI.f64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
✓accuracy88.0%
(*.f64 a (*.f64 b b))
✓accuracy100.0%
(*.f64 a b)
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) b))
✓accuracy99.2%
(/.f64 (PI.f64) (*.f64 a b))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) (+.f64 b a))
✓accuracy99.7%
(/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b)
✓accuracy99.0%
(/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64)))
Results
147.0ms256×0valid
Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 20.0ms (55.3% of total)
ival-mult: 13.0ms (35.9% of total)
ival-pi: 1.0ms (2.8% of total)
ival-add: 1.0ms (2.8% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
16 → 276
Calls
Call 1
Inputs
#<alt (/ (/ (/ (PI) (/ a 1/2)) b) (+ b a))>
#<alt (/ (/ (PI) (/ a 1/2)) b)>
#<alt (/ (PI) (/ a 1/2))>
#<alt (PI)>
#<alt (* (/ (PI) (* a b)) (/ 1/2 b))>
#<alt (/ (PI) (* a b))>
#<alt (* a b)>
#<alt (/ (* 1/2 (PI)) (* a (* b b)))>
#<alt (* 1/2 (PI))>
#<alt (* a (* b b))>
#<alt (/ (/ 1/2 a) (/ (* a b) (PI)))>
#<alt (/ 1/2 a)>
#<alt (/ (* a b) (PI))>
#<alt (/ (/ (* (PI) 1/2) a) (* a b))>
#<alt (/ (* (PI) 1/2) a)>
#<alt (* (PI) 1/2)>
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 (* 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))>
#<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 (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) (* 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 (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (/ (* a b) (PI))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (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))>
Calls

69 calls:

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

rewrite280.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
3974×/-lowering-/.f32
3974×/-lowering-/.f64
3810×*-lowering-*.f32
3810×*-lowering-*.f64
978×frac-2neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02389
116787
2140187
3750487
0802987
Stop Event
1×iter limit
1×node limit
Counts
16 → 1136
Calls
Call 1
Inputs
(/ (/ (/ (PI) (/ a 1/2)) b) (+ b a))
(/ (/ (PI) (/ a 1/2)) b)
(/ (PI) (/ a 1/2))
(PI)
(* (/ (PI) (* a b)) (/ 1/2 b))
(/ (PI) (* a b))
(* a b)
(/ (* 1/2 (PI)) (* a (* b b)))
(* 1/2 (PI))
(* a (* b b))
(/ (/ 1/2 a) (/ (* a b) (PI)))
(/ 1/2 a)
(/ (* a b) (PI))
(/ (/ (* (PI) 1/2) a) (* a b))
(/ (* (PI) 1/2) a)
(* (PI) 1/2)
Outputs
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 b b)) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 a (-.f64 a b))))
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 a (-.f64 a b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 b b)))
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (-.f64 (*.f64 b b) (*.f64 a a))) b) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 (*.f64 b b) (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))
(+.f64 (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))
(+.f64 (*.f64 b (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (-.f64 (*.f64 b b) (*.f64 a a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a b) (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal -1/2 binary64) a))) (+.f64 a b)))
(-.f64 (/.f64 (+.f64 (PI.f64) #s(literal 1 binary64)) (/.f64 (*.f64 b (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 b (+.f64 a b)) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (PI.f64) (/.f64 (*.f64 b (+.f64 a b)) (/.f64 #s(literal -1/2 binary64) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) b) a)) (/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal -1/2 binary64) a))) (+.f64 a b)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b (+.f64 a b)))) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b (+.f64 a b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b))) (/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal -1/2 binary64) a))) (+.f64 a b)))
(neg.f64 (/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal -1/2 binary64) a))) (+.f64 a b)))
(neg.f64 (/.f64 (PI.f64) (/.f64 (*.f64 b (+.f64 a b)) (/.f64 #s(literal -1/2 binary64) a))))
(neg.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b (+.f64 a b)))))
(neg.f64 (*.f64 (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) b)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal -1/2 binary64) a))) (+.f64 a b))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal -1/2 binary64) a)))))
(neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 #s(literal -1/2 binary64) b)))
(neg.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64))) (+.f64 a b)) b))
(/.f64 (PI.f64) (/.f64 (*.f64 b (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 (PI.f64) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 b (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b)) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (/.f64 a (/.f64 (PI.f64) b))))
(/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (+.f64 a b))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 a (*.f64 b (+.f64 a b))))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b (+.f64 a b)))))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (*.f64 a b)))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (*.f64 b (+.f64 a b)))
(/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) a) (-.f64 #s(literal 0 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b (+.f64 a b)) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b (+.f64 a b))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 (PI.f64) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64))) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (PI.f64))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (*.f64 b (+.f64 a b)) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (+.f64 a b) (/.f64 b (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) a) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b)) (/.f64 a #s(literal 1/2 binary64))))
(/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal -1/2 binary64) a))) (-.f64 (-.f64 #s(literal 0 binary64) b) a))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b (+.f64 a b))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) (*.f64 a b))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b)) a))
(/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64))) (*.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 a b) (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (/.f64 a (/.f64 (PI.f64) b)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 (+.f64 a b) a))
(/.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 b (+.f64 a b)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) (/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal -1/2 binary64) a)))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b (+.f64 a b)) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (PI.f64))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b)) (/.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 a (/.f64 (PI.f64) b)) #s(literal 1/2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) a)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 (PI.f64) b) (*.f64 (+.f64 a b) (/.f64 a #s(literal 1/2 binary64))))
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 b #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) (/.f64 b (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) b) (/.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64))) (+.f64 a b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) b) (*.f64 (+.f64 a b) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) #s(literal 2 binary64)) b)
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))) (/.f64 a #s(literal 1/2 binary64))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))
(/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (neg.f64 (/.f64 (PI.f64) (+.f64 a b))) (/.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (+.f64 a b))) (/.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a b))) (-.f64 #s(literal 0 binary64) (*.f64 a b)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))) (/.f64 b (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))) (/.f64 a (/.f64 (PI.f64) b)))
(/.f64 (*.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a b))) a)
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1 binary64) (+.f64 a b))) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) b) (/.f64 #s(literal 1 binary64) (+.f64 a b))) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (+.f64 a b))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) b)) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) b)) a)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) b)) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) b)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) b)) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (+.f64 a b))) (/.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 a b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (+.f64 a b))) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b))
(/.f64 (*.f64 (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 a b))) b)
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 a b)))) a)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 a b)))) (/.f64 a (PI.f64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 a b)))) (-.f64 #s(literal 0 binary64) a))
(pow.f64 (/.f64 (+.f64 a b) (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b))) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 a b))))
(*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (+.f64 a b)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 a b))))
(*.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) b))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (+.f64 a b)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 a b)) (/.f64 #s(literal -1/2 binary64) a))))
(*.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal -1/2 binary64) a))) (/.f64 #s(literal -1 binary64) (+.f64 a b)))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b (+.f64 a b)))))
(*.f64 (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b))))
(*.f64 (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))) (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)))
(*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 a b))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal -1/2 binary64) a))) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (/.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 binary64) (+.f64 a b)) (/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal -1/2 binary64) a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) b) (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal -1/2 binary64))) (+.f64 a b)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 a b))) (/.f64 (PI.f64) a))
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(*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))

simplify251.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
3966×*-lowering-*.f32
3966×*-lowering-*.f64
1804×fnmadd-define
1784×fma-lowering-fma.f32
1784×fma-lowering-fma.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01482114
13881956
211561942
328911920
452421916
082821916
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
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))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (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) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 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))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b))
(/ (+ (* -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 a (/.f64 #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 a (/.f64 #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 a (/.f64 #s(literal -1/2 binary64) b))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.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 (PI.f64) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1/2 binary64))))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.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 (PI.f64) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 a) (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1/2 binary64))) a))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.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 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1/2 binary64))) 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 (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1/2 binary64)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (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 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1/2 binary64)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 #s(literal -1/2 binary64) 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 a (/.f64 #s(literal -1/2 binary64) b)))))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a b))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 #s(literal -1/2 binary64) b)))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 (PI.f64) (+.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 #s(literal -1/2 binary64) b))))) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) b)) (*.f64 b 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)))
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(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)

eval209.0ms (1.9%)

Compiler

Compiled 21713 to 2669 computations (87.7% saved)

prune218.0ms (2%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New172571732
Fresh516
Picked325
Done033
Total1733131746
Accuracy
100.0%
Counts
1746 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) (+.f64 b a))
✓63.5%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
✓53.2%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
58.1%
(/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) b)
63.5%
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
58.1%
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 a (/.f64 (PI.f64) b)))
63.5%
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 a (PI.f64)) b))
52.8%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a)
✓56.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
63.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a b) (PI.f64)) a))
99.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (/.f64 a (/.f64 (PI.f64) b))))
58.1%
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) b))
✓63.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
Compiler

Compiled 912 to 290 computations (68.2% saved)

regimes48.0ms (0.4%)

Counts
51 → 1
Calls
Call 1
Inputs
(*.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) b))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a b) (PI.f64)) a))
(/.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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 a (PI.f64)) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 a b) (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 a (/.f64 (PI.f64) b)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) b)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a) b)
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) a) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (/.f64 a (/.f64 (PI.f64) b))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 b b) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (PI.f64))) b) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) (+.f64 b a))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) (+.f64 b a))
(/.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 (PI.f64) a) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) (*.f64 a a))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 a #s(literal -2 binary64))) (+.f64 b a))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) (*.f64 b a))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
(*.f64 (/.f64 (-.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 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #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) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64)) b) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b))) a) b)
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (+.f64 b a))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 b a))
(/.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 b (PI.f64))) a) (*.f64 a (/.f64 b (PI.f64)))) (*.f64 (+.f64 b a) (*.f64 #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 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) (+.f64 b a))
Calls

3 calls:

16.0ms
b
14.0ms
a
14.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
99.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes16.0ms (0.1%)

Counts
23 → 1
Calls
Call 1
Inputs
(*.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) b))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a b) (PI.f64)) a))
(/.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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 a (PI.f64)) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 a b) (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 a (/.f64 (PI.f64) b)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 (/.f64 (PI.f64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) b)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a) b)
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) a) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (/.f64 a (/.f64 (PI.f64) b))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 b b) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (PI.f64))) b) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) (+.f64 b a))
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) (+.f64 b a))
Calls

2 calls:

8.0ms
a
7.0ms
b
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.1%)

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

2 calls:

7.0ms
a
7.0ms
b
Results
AccuracySegmentsBranch
99.1%1a
99.1%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

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

2 calls:

8.0ms
a
6.0ms
b
Results
AccuracySegmentsBranch
93.1%2a
91.3%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

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

1 calls:

4.0ms
a
Results
AccuracySegmentsBranch
93.1%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
a
Results
AccuracySegmentsBranch
93.0%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
(*.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) b))
Outputs
(*.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) b))
Calls

1 calls:

2.0ms
a
Results
AccuracySegmentsBranch
93.0%2a
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
a
1.0ms
b
Results
AccuracySegmentsBranch
63.5%1b
63.5%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
-4.493955713545982e-104
-2.6871175167792167e-106
Results
13.0ms112×0valid
Compiler

Compiled 196 to 145 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (37.6% of total)
ival-mult: 3.0ms (37.6% of total)
ival-sub: 1.0ms (12.5% 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
17.0ms
-4.493955713545982e-104
-2.6871175167792167e-106
Results
13.0ms112×0valid
Compiler

Compiled 196 to 145 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 3.0ms (34.7% of total)
ival-mult: 3.0ms (34.7% of total)
ival-sub: 2.0ms (23.1% of total)
ival-pi: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
-4.493955713545982e-104
-2.6871175167792167e-106
Results
13.0ms112×0valid
Compiler

Compiled 196 to 145 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (37.3% of total)
ival-mult: 3.0ms (37.3% of total)
ival-sub: 1.0ms (12.4% 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
-4.493955713545982e-104
-2.6871175167792167e-106
Results
14.0ms112×0valid
Compiler

Compiled 196 to 145 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (37.3% of total)
ival-mult: 3.0ms (37.3% of total)
ival-sub: 1.0ms (12.4% of total)
ival-pi: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
14×*-commutative_binary64
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036130
144130
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) (+.f64 b a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) (+.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (/.f64 a (/.f64 (PI.f64) b))))
(if (<=.f64 a #s(literal -7101187164738999/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 a #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -7101187164738999/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 a (PI.f64)) b)) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -7101187164738999/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -3873374817130363/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (*.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) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
Outputs
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) (+.f64 b a))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) b) (+.f64 a b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) (+.f64 b a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b))) (+.f64 a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (/.f64 a (/.f64 (PI.f64) b))))
(if (<=.f64 a #s(literal -7101187164738999/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 a #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -7101187164738999/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 a (PI.f64)) b)) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -7101187164738999/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (/.f64 a (PI.f64)))) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -7101187164738999/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -7101187164738999/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) b)))
(if (<=.f64 a #s(literal -3873374817130363/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (*.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) b)))
(if (<=.f64 a #s(literal -3873374817130363/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))

soundness2.2s (19.4%)

Rules
6292×*-lowering-*.f32
6292×*-lowering-*.f64
4910×*-lowering-*.f32
4910×*-lowering-*.f64
4860×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08497257
129316058
088016058
02389
116787
2140187
3750487
0802987
037195
1281185
22853185
08187185
04743081
115332539
262312458
080652458
027130
1203124
22029124
08797124
02367
119067
2208267
0886167
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 480 to 287 computations (40.2% saved)

preprocess69.0ms (0.6%)

Compiler

Compiled 414 to 172 computations (58.5% saved)

end0.0ms (0%)

Profiling

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