NMSE Section 6.1 mentioned, B

Time bar (total: 12.4s)

analyze119.0ms (1%)

Memory
-16.9MiB live, 141.1MiB allocated
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 23 to 17 computations (26.1% saved)

sample1.3s (10.5%)

Memory
12.1MiB live, 2 197.5MiB allocated
Samples
986.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 792.0ms
ival-div: 324.0ms (40.9% of total)
ival-mult: 215.0ms (27.1% of total)
ival-sub: 136.0ms (17.2% of total)
ival-pi: 98.0ms (12.4% of total)
exact: 9.0ms (1.1% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

preprocess336.0ms (2.7%)

Memory
6.2MiB live, 879.4MiB allocated
Algorithm
2×egg-herbie
Rules
8 062×accelerator-lowering-fma.f32
8 062×accelerator-lowering-fma.f64
4 668×*-lowering-*.f32
4 668×*-lowering-*.f64
2 098×neg-lowering-neg.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038130
1134114
2468114
32364114
45207114
57440114
01521
13519
29719
338218
4155817
5426517
0838717
Stop Event
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 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 b a) (-.f64 b a) #s(literal 0 binary64)))
Call 2
Inputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b)))
(* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b)))))
(* (* (/ (PI) 2) (/ 1 (- (* a a) (* b b)))) (- (/ 1 b) (/ 1 a)))
Outputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(/ (* (* (PI) 1/2) (/ (+ (/ 1 a) (/ -1 b)) (+ b a))) (- b a))
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b)))
(* (+ (/ -1 a) (/ -1 b)) (/ (* (PI) 1/2) (- (* b b) (* a a))))
(* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b))))
(* (PI) (/ (/ (+ (/ -1 a) (/ -1 b)) (- a b)) (* 2 (+ b a))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b))))
(* (PI) (/ (/ (+ (/ -1 a) (/ -1 b)) (- a b)) (* 2 (+ b a))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b)))))
(* (+ (/ -1 a) (/ -1 b)) (/ (* (PI) 1/2) (- (* b b) (* a a))))
(* (* (/ (PI) 2) (/ 1 (- (* a a) (* b b)))) (- (/ 1 b) (/ 1 a)))
(/ (* (* (PI) 1/2) (/ (+ (/ 1 a) (/ -1 b)) (+ b a))) (- b a))
Symmetry

(sort a b)

explain180.0ms (1.5%)

Memory
23.9MiB live, 453.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
282(-1.0776210127102415e+217 -2.1866025281167346e-111)3(2.5819379384226293e-188 1.9888719528773218e+158)(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
90-0-(-.f64 (*.f64 b b) (*.f64 a a))
50-0-(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
00-0-(*.f64 a a)
00-0-a
00-0-(/.f64 (PI.f64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(*.f64 b b)
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 1 binary64) b)
00-0-(/.f64 #s(literal 1 binary64) a)
00-0-b
00-0-(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))n*u270
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue90
↳(*.f64 b b)overflow61
↳(*.f64 a a)overflow64
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o50
↳(*.f64 b b)overflow61
↳(*.f64 a a)overflow64
↳(-.f64 (*.f64 b b) (*.f64 a a))overflow116
Confusion
Predicted +Predicted -
+3812
-3203
Precision
0.926829268292683
Recall
0.76
Confusion?
Predicted +Predicted MaybePredicted -
+38012
-30203
Precision?
0.926829268292683
Recall?
0.76
Freqs
test
numberfreq
0215
141
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
61.0ms512×0valid
Compiler

Compiled 204 to 64 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 15.0ms (36.8% of total)
ival-mult: 12.0ms (29.4% of total)
ival-sub: 11.0ms (27% of total)
ival-pi: 2.0ms (4.9% of total)
ival-true: 1.0ms (2.5% of total)
exact: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶81.3%
(*.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)))
Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify305.0ms (2.5%)

Memory
15.3MiB live, 377.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff192
(-.f64 (*.f64 b b) (*.f64 a a))
✓cost-diff320
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
✓cost-diff320
(*.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)))
✓cost-diff384
(/.f64 (PI.f64) #s(literal 2 binary64))
Rules
8 062×accelerator-lowering-fma.f32
8 062×accelerator-lowering-fma.f64
4 668×*-lowering-*.f32
4 668×*-lowering-*.f64
2 098×neg-lowering-neg.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01577
13573
29773
338272
4155871
5426571
0838771
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)
Outputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 b a) (-.f64 b a) #s(literal 0 binary64)))
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))))
(/ (PI) 2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(/ 1 (- (* b b) (* a a)))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 b a) (-.f64 b a) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(- (* b b) (* a a))
(fma.f64 (+.f64 b a) (-.f64 b a) #s(literal 0 binary64))
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
(* a a)
(fma.f64 a a #s(literal 0 binary64))
a
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)

localize49.0ms (0.4%)

Memory
-13.9MiB live, 108.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
✓accuracy98.6%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
✓accuracy97.0%
(-.f64 (*.f64 b b) (*.f64 a a))
✓accuracy90.7%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Samples
29.0ms256×0valid
Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (43.1% of total)
ival-mult: 6.0ms (37% of total)
ival-sub: 2.0ms (12.3% of total)
ival-pi: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-6.9MiB live, 32.1MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#<alt (/ (PI) 2)>
#<alt (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))>
#<alt (* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))>
#<alt (- (* b b) (* a a))>
#<alt (/ 1 (- (* b b) (* a a)))>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (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 (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))>
Calls

24 calls:

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

rewrite350.0ms (2.8%)

Memory
-6.2MiB live, 560.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 700×*-lowering-*.f32
6 700×*-lowering-*.f64
4 958×accelerator-lowering-fma.f32
4 958×accelerator-lowering-fma.f64
2 990×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01549
111349
2111249
0919049
Stop Event
1×iter limit
1×node limit
Counts
5 → 583
Calls
Call 1
Inputs
(/ (PI) 2)
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
(- (* b b) (* a a))
(/ 1 (- (* b b) (* a a)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (PI.f64)))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 (PI.f64))) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a)))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a) #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
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(+.f64 (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b))))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b))))))
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))))
(fma.f64 (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))))
(fma.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (*.f64 b (*.f64 b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 b (*.f64 b (*.f64 b b)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 b (*.f64 b (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 a a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 a a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 b b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (fma.f64 b (-.f64 #s(literal 0 binary64) b) (*.f64 a a)))
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))
(/.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 b b))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 b (-.f64 #s(literal 0 binary64) b) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) (+.f64 (-.f64 #s(literal 0 binary64) b) a))
(pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64)))
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))))
(*.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (fma.f64 a a (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)))

simplify422.0ms (3.4%)

Memory
12.2MiB live, 646.8MiB allocated
Algorithm
1×egg-herbie
Rules
12 618×accelerator-lowering-fma.f32
12 618×accelerator-lowering-fma.f64
5 734×*-lowering-*.f32
5 734×*-lowering-*.f64
2 064×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911696
17681666
222951612
363831612
083411525
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
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 (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))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
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(/.f64 #s(literal -1 binary64) (*.f64 a a))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 b (pow.f64 a #s(literal 6 binary64))) #s(literal 0 binary64)) (/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal 0 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)))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (pow.f64 a #s(literal 8 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 b b #s(literal 0 binary64)))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (fma.f64 b b #s(literal 0 binary64)))
(/ (- (+ 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 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (fma.f64 b b #s(literal 0 binary64)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 b b #s(literal 0 binary64)))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (fma.f64 b b #s(literal 0 binary64)))
(/ (- (+ 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 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (fma.f64 b b #s(literal 0 binary64)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(/.f64 (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 b b #s(literal 0 binary64)))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(fma.f64 a (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 b b #s(literal 0 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)))
(fma.f64 a (*.f64 (fma.f64 a (/.f64 a (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a (*.f64 a a))) (/.f64 (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 b b #s(literal 0 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 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))

eval95.0ms (0.8%)

Memory
-5.0MiB live, 144.6MiB allocated
Compiler

Compiled 22 624 to 2 051 computations (90.9% saved)

prune99.0ms (0.8%)

Memory
24.5MiB live, 228.5MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New66118679
Fresh000
Picked101
Done000
Total66218680
Accuracy
100.0%
Counts
680 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.6%
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
89.8%
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
54.7%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (fma.f64 b b #s(literal 0 binary64))))
▶65.3%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
▶89.5%
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (+.f64 b a)))
89.5%
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 b a))
85.1%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
45.9%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (fma.f64 b b #s(literal 0 binary64)))
▶52.3%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
85.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))))
45.9%
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
99.5%
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
▶74.9%
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) b) (/.f64 (-.f64 b a) a))
75.0%
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a) (/.f64 (-.f64 b a) b))
85.5%
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 b a)))))
▶99.5%
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
84.8%
(*.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))))
Compiler

Compiled 752 to 454 computations (39.6% saved)

simplify528.0ms (4.3%)

Memory
7.7MiB live, 555.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))
✓cost-diff384
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) b)
✓cost-diff1408
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) b) (/.f64 (-.f64 b a) a))
✓cost-diff0
(*.f64 b a)
✓cost-diff0
(-.f64 b a)
✓cost-diff0
(/.f64 (-.f64 b a) (*.f64 b a))
✓cost-diff1472
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (+.f64 b a)))
✓cost-diff0
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
✓cost-diff0
(*.f64 a (*.f64 a b))
✓cost-diff0
(PI.f64)
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64))
✓cost-diff64
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
✓cost-diff0
(-.f64 b a)
✓cost-diff0
(/.f64 (-.f64 b a) (*.f64 b a))
✓cost-diff384
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
✓cost-diff1344
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
Rules
7 974×accelerator-lowering-fma.f32
7 974×accelerator-lowering-fma.f64
4 686×*-lowering-*.f32
4 686×*-lowering-*.f64
2 344×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033258
1113258
2380258
31404232
45535230
08112230
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/ 1/2 (- b a)))
(* (/ (- b a) (* b a)) (/ (PI) (+ b a)))
(/ (- b a) (* b a))
(- b a)
b
a
(* b a)
(/ (PI) (+ b a))
(PI)
(+ b a)
(/ 1/2 (- b a))
1/2
(/ (+ (* 1/2 (PI)) 0) (* a (* a b)))
(+ (* 1/2 (PI)) 0)
1/2
(PI)
0
(* a (* a b))
a
(* a b)
b
(/ (* (PI) (+ (/ -1/2 a) (/ 1/2 b))) (* a a))
(* (PI) (+ (/ -1/2 a) (/ 1/2 b)))
(PI)
(+ (/ -1/2 a) (/ 1/2 b))
(/ -1/2 a)
-1/2
a
(/ 1/2 b)
1/2
b
(* a a)
(/ (* (/ (- b a) (* b a)) (* (PI) 1/2)) (* (- b a) (+ b a)))
(* (/ (- b a) (* b a)) (* (PI) 1/2))
(/ (- b a) (* b a))
(- b a)
b
a
(* b a)
(* (PI) 1/2)
(PI)
1/2
(* (- b a) (+ b a))
(+ b a)
(* (/ (/ (* (PI) 1/2) (* (- b a) (+ b a))) b) (/ (- b a) a))
(/ (/ (* (PI) 1/2) (* (- b a) (+ b a))) b)
(/ (* (PI) 1/2) (* (- b a) (+ b a)))
(* (PI) 1/2)
(PI)
1/2
(* (- b a) (+ b a))
(- b a)
b
a
(+ b a)
(/ (- b a) a)
Outputs
(* (* (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/ 1/2 (- b a)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 0 binary64))
(* (/ (- b a) (* b a)) (/ (PI) (+ b a)))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/ (- b a) (* b a))
(/.f64 (-.f64 b a) (*.f64 b a))
(- b a)
(-.f64 b a)
b
a
(* b a)
(*.f64 b a)
(/ (PI) (+ b a))
(/.f64 (PI.f64) (+.f64 b a))
(PI)
(PI.f64)
(+ b a)
(+.f64 b a)
(/ 1/2 (- b a))
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
1/2
#s(literal 1/2 binary64)
(/ (+ (* 1/2 (PI)) 0) (* a (* a b)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))))
(+ (* 1/2 (PI)) 0)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
0
#s(literal 0 binary64)
(* a (* a b))
(*.f64 a (*.f64 b a))
a
(* a b)
(*.f64 b a)
b
(/ (* (PI) (+ (/ -1/2 a) (/ 1/2 b))) (* a a))
(/.f64 (*.f64 (PI.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 b)))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
(PI)
(PI.f64)
(+ (/ -1/2 a) (/ 1/2 b))
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
b
(* a a)
(*.f64 a a)
(/ (* (/ (- b a) (* b a)) (* (PI) 1/2)) (* (- b a) (+ b a)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 0 binary64))
(* (/ (- b a) (* b a)) (* (PI) 1/2))
(fma.f64 (-.f64 b a) (fma.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #s(literal 0 binary64)) #s(literal 0 binary64))
(/ (- b a) (* b a))
(/.f64 (-.f64 b a) (*.f64 b a))
(- b a)
(-.f64 b a)
b
a
(* b a)
(*.f64 b a)
(* (PI) 1/2)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* (- b a) (+ b a))
(*.f64 (-.f64 b a) (+.f64 b a))
(+ b a)
(+.f64 b a)
(* (/ (/ (* (PI) 1/2) (* (- b a) (+ b a))) b) (/ (- b a) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 0 binary64))
(/ (/ (* (PI) 1/2) (* (- b a) (+ b a))) b)
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 b a) (*.f64 b (+.f64 b a))))
(/ (* (PI) 1/2) (* (- b a) (+ b a)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))
(* (PI) 1/2)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* (- b a) (+ b a))
(*.f64 (-.f64 b a) (+.f64 b a))
(- b a)
(-.f64 b a)
b
a
(+ b a)
(+.f64 b a)
(/ (- b a) a)
(+.f64 (/.f64 b a) #s(literal -1 binary64))

localize192.0ms (1.6%)

Memory
-1.9MiB live, 263.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (-.f64 b a) a)
✓accuracy98.6%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))
✓accuracy96.1%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) b)
✓accuracy79.7%
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) b) (/.f64 (-.f64 b a) a))
✓accuracy100.0%
(PI.f64)
✓accuracy99.4%
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓accuracy89.6%
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (+.f64 b a)))
✓accuracy75.8%
(/.f64 (-.f64 b a) (*.f64 b a))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
✓accuracy99.4%
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
✓accuracy95.4%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
✓accuracy100.0%
(*.f64 a b)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 a (*.f64 a b))
✓accuracy99.8%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
✓accuracy99.7%
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
✓accuracy99.6%
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
✓accuracy99.6%
(/.f64 (PI.f64) (+.f64 b a))
✓accuracy75.8%
(/.f64 (-.f64 b a) (*.f64 b a))
Samples
65.0ms256×0valid
Compiler

Compiled 262 to 35 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 17.0ms (40.4% of total)
ival-mult: 17.0ms (40.4% of total)
ival-pi: 3.0ms (7.1% of total)
ival-add: 3.0ms (7.1% of total)
ival-sub: 2.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series51.0ms (0.4%)

Memory
14.6MiB live, 89.7MiB allocated
Counts
20 → 432
Calls
Call 1
Inputs
#<alt (* (* (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/ 1/2 (- b a)))>
#<alt (* (/ (- b a) (* b a)) (/ (PI) (+ b a)))>
#<alt (/ (- b a) (* b a))>
#<alt (- b a)>
#<alt (/ (+ (* 1/2 (PI)) 0) (* a (* a b)))>
#<alt (+ (* 1/2 (PI)) 0)>
#<alt (PI)>
#<alt (* a (* a b))>
#<alt (/ (* (PI) (+ (/ -1/2 a) (/ 1/2 b))) (* a a))>
#<alt (* (PI) (+ (/ -1/2 a) (/ 1/2 b)))>
#<alt (+ (/ -1/2 a) (/ 1/2 b))>
#<alt (/ (* (/ (- b a) (* b a)) (* (PI) 1/2)) (* (- b a) (+ b a)))>
#<alt (* b a)>
#<alt (* (/ (/ (* (PI) 1/2) (* (- b a) (+ b a))) b) (/ (- b a) a))>
#<alt (/ (/ (* (PI) 1/2) (* (- b a) (+ b a))) b)>
#<alt (/ (* (PI) 1/2) (* (- b a) (+ b a)))>
#<alt (/ (PI) (+ b a))>
#<alt (* a b)>
#<alt (* (/ (- b a) (* b a)) (* (PI) 1/2))>
#<alt (/ (- b a) a)>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* -1 (/ (PI) (* a b)))>
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)>
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)>
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)>
#<alt (/ (PI) (* a b))>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)>
#<alt (/ (PI) (* a b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))>
#<alt (/ (PI) (* a 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) a)) (/ (PI) b)) (/ (PI) a)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a))>
#<alt (/ -1 b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (* -1 a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt b>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt b>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (* -1 a)>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* -1/2 (/ (PI) (pow a 3)))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))>
#<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))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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 (/ (* b (PI)) (pow a 3))) (* 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 3)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (* -1/2 (/ (PI) (pow a 3)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (* -1/2 (/ (PI) a))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)>
#<alt (* 1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)>
#<alt (* -1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (* -1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (/ -1/2 a)>
#<alt (/ (- (* 1/2 (/ a b)) 1/2) a)>
#<alt (/ (- (* 1/2 (/ a b)) 1/2) a)>
#<alt (/ (- (* 1/2 (/ a b)) 1/2) a)>
#<alt (/ 1/2 b)>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (/ 1/2 b)>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (/ 1/2 b)>
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) b)>
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) b)>
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) b)>
#<alt (/ -1/2 a)>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (/ -1/2 a)>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<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 (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) b)>
#<alt (/ (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b)>
#<alt (/ (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))))))) b)>
#<alt (* 1/2 (/ (PI) (pow b 3)))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 3))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 3))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 3))>
#<alt (* 1/2 (/ (PI) (pow b 3)))>
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b))) b)) (* -1/2 (PI))) (pow b 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* 1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b))) b)) (* -1/2 (* (PI) (+ a (* -1 a))))) b)) (* -1/2 (PI))) (pow b 3)))>
#<alt (* 1/2 (/ (PI) (pow b 3)))>
#<alt (+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5))) (* 1/2 (/ (PI) (pow b 3))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 7))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))))))))>
#<alt (* -1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* -1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3)))))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b)))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) b)) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) a))) a)) (* -1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a))) a)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* -1/2 (/ (PI) b))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))>
#<alt (/ (PI) a)>
#<alt (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))>
#<alt (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))>
#<alt (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))>
#<alt (/ (PI) b)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)>
#<alt (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)>
#<alt (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)>
#<alt (/ (PI) b)>
#<alt (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))>
#<alt (/ (PI) b)>
#<alt (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))>
#<alt (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))>
#<alt (/ (PI) a)>
#<alt (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)>
#<alt (/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)>
#<alt (/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)>
#<alt (/ (PI) a)>
#<alt (* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* -1/2 (/ (PI) b))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (* 1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (* -1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt -1>
#<alt (- (/ b a) 1)>
#<alt (- (/ b a) 1)>
#<alt (- (/ b a) 1)>
#<alt (/ b a)>
#<alt (* b (- (/ 1 a) (/ 1 b)))>
#<alt (* b (- (/ 1 a) (/ 1 b)))>
#<alt (* b (- (/ 1 a) (/ 1 b)))>
#<alt (/ b a)>
#<alt (* -1 (* b (- (/ 1 b) (/ 1 a))))>
#<alt (* -1 (* b (- (/ 1 b) (/ 1 a))))>
#<alt (* -1 (* b (- (/ 1 b) (/ 1 a))))>
#<alt (/ b a)>
#<alt (/ (+ b (* -1 a)) a)>
#<alt (/ (+ b (* -1 a)) a)>
#<alt (/ (+ b (* -1 a)) a)>
#<alt -1>
#<alt (- (/ b a) 1)>
#<alt (- (/ b a) 1)>
#<alt (- (/ b a) 1)>
#<alt -1>
#<alt (- (/ b a) 1)>
#<alt (- (/ b a) 1)>
#<alt (- (/ b a) 1)>
Calls

108 calls:

TimeVariablePointExpression
6.0ms
a
@inf
(/ (+ (* 1/2 (PI)) 0) (* a (* a b)))
5.0ms
a
@inf
(* (/ (- b a) (* b a)) (* (PI) 1/2))
3.0ms
b
@-inf
(* (/ (- b a) (* b a)) (* (PI) 1/2))
2.0ms
a
@0
(/ (+ (* 1/2 (PI)) 0) (* a (* a b)))
1.0ms
b
@0
(* (* (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/ 1/2 (- b a)))

rewrite661.0ms (5.3%)

Memory
-120.2MiB live, 799.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 100×/-lowering-/.f32
5 100×/-lowering-/.f64
5 024×*-lowering-*.f32
5 024×*-lowering-*.f64
2 060×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033178
1255154
22926154
08226154
Stop Event
1×iter limit
1×node limit
Counts
20 → 1 646
Calls
Call 1
Inputs
(* (* (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/ 1/2 (- b a)))
(* (/ (- b a) (* b a)) (/ (PI) (+ b a)))
(/ (- b a) (* b a))
(- b a)
(/ (+ (* 1/2 (PI)) 0) (* a (* a b)))
(+ (* 1/2 (PI)) 0)
(PI)
(* a (* a b))
(/ (* (PI) (+ (/ -1/2 a) (/ 1/2 b))) (* a a))
(* (PI) (+ (/ -1/2 a) (/ 1/2 b)))
(+ (/ -1/2 a) (/ 1/2 b))
(/ (* (/ (- b a) (* b a)) (* (PI) 1/2)) (* (- b a) (+ b a)))
(* b a)
(* (/ (/ (* (PI) 1/2) (* (- b a) (+ b a))) b) (/ (- b a) a))
(/ (/ (* (PI) 1/2) (* (- b a) (+ b a))) b)
(/ (* (PI) 1/2) (* (- b a) (+ b a)))
(/ (PI) (+ b a))
(* a b)
(* (/ (- b a) (* b a)) (* (PI) 1/2))
(/ (- b a) a)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 b a)) (*.f64 (-.f64 b a) (-.f64 #s(literal 0 binary64) (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (fma.f64 (PI.f64) #s(literal -1/2 binary64) #s(literal 0 binary64))) (*.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64))))
(/.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 a (*.f64 b (+.f64 b a)))) (*.f64 (-.f64 b a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 (/.f64 a (-.f64 b a)) (*.f64 (*.f64 b (-.f64 b a)) (+.f64 b a))))
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 (*.f64 b a) (-.f64 b a)))
(/.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 a (-.f64 b a)) b))
(/.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 b (-.f64 b a)) (+.f64 b a))) (/.f64 a (-.f64 b a)))
(/.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 b (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64))) (*.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))
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(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (+.f64 b a)))))
(*.f64 (pow.f64 (/.f64 a (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))

simplify633.0ms (5.1%)

Memory
5.1MiB live, 1 003.0MiB allocated
Algorithm
1×egg-herbie
Rules
14 680×accelerator-lowering-fma.f32
14 680×accelerator-lowering-fma.f64
4 306×*-lowering-*.f32
4 306×*-lowering-*.f64
3 006×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06796043
120365413
271195397
080775139
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
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 (/ (PI) (* a b)))
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (PI) (* a b))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)
(/ (PI) (* a b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(/ (PI) (* a 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) a)) (/ (PI) b)) (/ (PI) a)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a))
(/ -1 b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(* -1 a)
(- b a)
(- b a)
(- b a)
b
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
b
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
b
(+ b (* -1 a))
(+ b (* -1 a))
(+ b (* -1 a))
(* -1 a)
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(* -1/2 (/ (PI) (pow a 3)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* -1/2 (/ (PI) (pow a 3)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* -1/2 (/ (PI) a))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(* 1/2 (/ (PI) b))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(* -1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(* -1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(/ -1/2 a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(/ 1/2 b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ -1/2 a)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(/ -1/2 a)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(* 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))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) b)
(/ (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b)
(/ (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))))))) b)
(* 1/2 (/ (PI) (pow b 3)))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 3))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 3))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 3))
(* 1/2 (/ (PI) (pow b 3)))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b))) b)) (* -1/2 (PI))) (pow b 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* 1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b))) b)) (* -1/2 (* (PI) (+ a (* -1 a))))) b)) (* -1/2 (PI))) (pow b 3)))
(* 1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5))) (* 1/2 (/ (PI) (pow b 3))))
(+ (* 1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))
(+ (* 1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 7))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))))))))
(* -1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b)))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* -1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3)))))) (pow a 2))
(* -1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b)))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) b)) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) a))) a)) (* -1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a))) a)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* -1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))
(/ (PI) a)
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(/ (PI) b)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/ (PI) b)
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/ (PI) a)
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* -1/2 (/ (PI) b))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(* 1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(* 1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(* -1/2 (/ (PI) b))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(* -1/2 (/ (PI) b))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
-1
(- (/ b a) 1)
(- (/ b a) 1)
(- (/ b a) 1)
(/ b a)
(* b (- (/ 1 a) (/ 1 b)))
(* b (- (/ 1 a) (/ 1 b)))
(* b (- (/ 1 a) (/ 1 b)))
(/ b a)
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(/ b a)
(/ (+ b (* -1 a)) a)
(/ (+ b (* -1 a)) a)
(/ (+ b (* -1 a)) a)
-1
(- (/ b a) 1)
(- (/ b a) 1)
(- (/ b a) 1)
-1
(- (/ b a) 1)
(- (/ b a) 1)
(- (/ b a) 1)
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.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 (fma.f64 b (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) 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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 a (*.f64 b b)) (/.f64 (PI.f64) a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) 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 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 a (*.f64 b b)) (/.f64 (PI.f64) a)) (*.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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.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 (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.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 #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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) (*.f64 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 (fma.f64 a (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (/.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)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (PI.f64) b)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) 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 (fma.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) (fma.f64 b (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) (*.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 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64))) a)) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) a))) a)) a)) (*.f64 a a))
(* -1 (/ (PI) (* a b)))
(/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 a b)))
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)
(/.f64 (-.f64 (/.f64 (*.f64 b (+.f64 (PI.f64) (PI.f64))) (*.f64 a a)) (/.f64 (PI.f64) a)) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/.f64 (-.f64 (*.f64 b (fma.f64 b (*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a a))) #s(literal -2 binary64)) (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 a a)))) (/.f64 (PI.f64) a)) 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)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a a))) #s(literal -2 binary64))) (/.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 a a))) (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) a))) b)
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
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eval362.0ms (2.9%)

Memory
32.9MiB live, 734.7MiB allocated
Compiler

Compiled 57 877 to 5 048 computations (91.3% saved)

prune225.0ms (1.8%)

Memory
-92.4MiB live, 484.3MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New2 575152 590
Fresh13013
Picked505
Done000
Total2 593152 608
Accuracy
100.0%
Counts
2 608 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.3%
(/.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) a) (*.f64 b a))
98.1%
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (*.f64 b a))) (+.f64 b a))
94.3%
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) b) a)
95.9%
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) a) b)
▶64.0%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (-.f64 b a) (+.f64 b a)))
▶99.7%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a))
▶60.9%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a))
▶65.3%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
54.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
65.3%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
66.1%
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
65.3%
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
72.5%
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
60.9%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
▶60.9%
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
Compiler

Compiled 388 to 270 computations (30.4% saved)

simplify360.0ms (2.9%)

Memory
34.9MiB live, 508.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
✓cost-diff256
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (-.f64 b a) (+.f64 b a)))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) b)
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))
✓cost-diff320
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a))
✓cost-diff-64
(*.f64 a (*.f64 a b))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
✓cost-diff-64
(*.f64 b (*.f64 a a))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) (*.f64 b (*.f64 a a)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
✓cost-diff320
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a))
Rules
12 108×accelerator-lowering-fma.f32
12 108×accelerator-lowering-fma.f64
2 994×--lowering--.f32
2 994×--lowering--.f64
2 450×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025147
176147
2197147
3403147
4667147
51093147
62163147
74653147
87139147
08070147
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (PI) (/ 1/2 (+ b a))) (* b a))
(* (PI) (/ 1/2 (+ b a)))
(PI)
(/ 1/2 (+ b a))
1/2
(+ b a)
b
a
(* b a)
(* 1/2 (/ (PI) (* b (* a a))))
1/2
(/ (PI) (* b (* a a)))
(PI)
(* b (* a a))
b
(* a a)
a
(/ (* (PI) 1/2) (* a (* a b)))
(* (PI) 1/2)
(PI)
1/2
(* a (* a b))
a
(* a b)
b
(/ (* (PI) (/ 1/2 b)) (* a a))
(* (PI) (/ 1/2 b))
(PI)
(/ 1/2 b)
1/2
b
(* a a)
a
(/ (/ (* 1/2 (PI)) a) (* (- b a) (+ b a)))
(/ (* 1/2 (PI)) a)
(* 1/2 (PI))
1/2
(PI)
a
(* (- b a) (+ b a))
(- b a)
b
(+ b a)
Outputs
(/ (* (PI) (/ 1/2 (+ b a))) (* b a))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 b a) (fma.f64 b a #s(literal 0 binary64)) #s(literal 0 binary64))))
(* (PI) (/ 1/2 (+ b a)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(PI)
(PI.f64)
(/ 1/2 (+ b a))
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
1/2
#s(literal 1/2 binary64)
(+ b a)
(+.f64 b a)
b
a
(* b a)
(fma.f64 b a #s(literal 0 binary64))
(* 1/2 (/ (PI) (* b (* a a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 a (fma.f64 b a #s(literal 0 binary64)) #s(literal 0 binary64)))
1/2
#s(literal 1/2 binary64)
(/ (PI) (* b (* a a)))
(/.f64 (PI.f64) (fma.f64 a (fma.f64 b a #s(literal 0 binary64)) #s(literal 0 binary64)))
(PI)
(PI.f64)
(* b (* a a))
(fma.f64 a (fma.f64 b a #s(literal 0 binary64)) #s(literal 0 binary64))
b
(* a a)
(fma.f64 a a #s(literal 0 binary64))
a
(/ (* (PI) 1/2) (* a (* a b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 a (fma.f64 b a #s(literal 0 binary64)) #s(literal 0 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))
(fma.f64 a (fma.f64 b a #s(literal 0 binary64)) #s(literal 0 binary64))
a
(* a b)
(fma.f64 b a #s(literal 0 binary64))
b
(/ (* (PI) (/ 1/2 b)) (* a a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 a (fma.f64 b a #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (PI) (/ 1/2 b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)
(PI)
(PI.f64)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
b
(* a a)
(fma.f64 a a #s(literal 0 binary64))
a
(/ (/ (* 1/2 (PI)) a) (* (- b a) (+ b a)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (fma.f64 (-.f64 b a) (fma.f64 a (+.f64 b a) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(/ (* 1/2 (PI)) a)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
(* 1/2 (PI))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
a
(* (- b a) (+ b a))
(fma.f64 (+.f64 b a) (-.f64 b a) #s(literal 0 binary64))
(- b a)
(-.f64 b a)
b
(+ b a)
(+.f64 b a)

localize93.0ms (0.8%)

Memory
-7.1MiB live, 149.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
✓accuracy94.0%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (-.f64 b a) (+.f64 b a)))
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.5%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))
✓accuracy85.1%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a))
✓accuracy100.0%
(*.f64 a b)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 a (*.f64 a b))
✓accuracy99.8%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
✓accuracy99.8%
(/.f64 (PI.f64) (*.f64 b (*.f64 a a)))
✓accuracy85.1%
(*.f64 b (*.f64 a a))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
✓accuracy99.7%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a))
✓accuracy99.5%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
Samples
52.0ms256×0valid
Compiler

Compiled 149 to 27 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 17.0ms (48.8% of total)
ival-div: 13.0ms (37.3% of total)
ival-pi: 1.0ms (2.9% of total)
ival-sub: 1.0ms (2.9% of total)
ival-add: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
18 → 312
Calls
Call 1
Inputs
#<alt (/ (* (PI) (/ 1/2 (+ b a))) (* b a))>
#<alt (* (PI) (/ 1/2 (+ b a)))>
#<alt (PI)>
#<alt (/ 1/2 (+ b a))>
#<alt (* 1/2 (/ (PI) (* b (* a a))))>
#<alt (/ (PI) (* b (* a a)))>
#<alt (* b (* a a))>
#<alt (/ (* (PI) 1/2) (* a (* a b)))>
#<alt (* (PI) 1/2)>
#<alt (* a (* a b))>
#<alt (/ (* (PI) (/ 1/2 b)) (* a a))>
#<alt (* (PI) (/ 1/2 b))>
#<alt (/ 1/2 b)>
#<alt (/ (/ (* 1/2 (PI)) a) (* (- b a) (+ b a)))>
#<alt (/ (* 1/2 (PI)) a)>
#<alt (* 1/2 (PI))>
#<alt (* a b)>
#<alt (* a a)>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) a))>
#<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 (/ 1/2 a)>
#<alt (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))>
#<alt (+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))>
#<alt (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))>
#<alt (/ 1/2 b)>
#<alt (/ (+ 1/2 (* -1/2 (/ a b))) b)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)>
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)>
#<alt (/ 1/2 b)>
#<alt (* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))>
#<alt (/ 1/2 b)>
#<alt (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))>
#<alt (/ 1/2 a)>
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) a)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)>
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)>
#<alt (/ 1/2 a)>
#<alt (* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))))))) a)>
#<alt (* -1/2 (/ (PI) (pow a 3)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 3))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 3))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 3))>
#<alt (* -1/2 (/ (PI) (pow a 3)))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* 1/2 (PI))) (pow a 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a)) (* 1/2 (* (PI) (+ b (* -1 b))))) a)) (* 1/2 (PI))) (pow a 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a)) (* 1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))))) a)) (* 1/2 (* (PI) (+ b (* -1 b))))) a)) (* 1/2 (PI))) (pow a 3)))>
#<alt (* -1/2 (/ (PI) (pow a 3)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 5))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 7)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))))))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (* 1/2 (/ (PI) a)))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* a (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (/ (PI) a))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)) b)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* a b)>
#<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 (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
Calls

78 calls:

TimeVariablePointExpression
2.0ms
b
@-inf
(/ 1/2 (+ b a))
1.0ms
b
@0
(/ (/ (* 1/2 (PI)) a) (* (- b a) (+ b a)))
1.0ms
b
@inf
(/ (/ (* 1/2 (PI)) a) (* (- b a) (+ b a)))
1.0ms
b
@-inf
(/ (/ (* 1/2 (PI)) a) (* (- b a) (+ b a)))
0.0ms
b
@0
(* (PI) (/ 1/2 b))

rewrite307.0ms (2.5%)

Memory
-18.2MiB live, 534.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 744×*-lowering-*.f32
5 744×*-lowering-*.f64
4 246×/-lowering-/.f32
4 246×/-lowering-/.f64
2 510×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025106
1169106
21290106
08446106
Stop Event
1×iter limit
1×node limit
Counts
18 → 1 172
Calls
Call 1
Inputs
(/ (* (PI) (/ 1/2 (+ b a))) (* b a))
(* (PI) (/ 1/2 (+ b a)))
(PI)
(/ 1/2 (+ b a))
(* 1/2 (/ (PI) (* b (* a a))))
(/ (PI) (* b (* a a)))
(* b (* a a))
(/ (* (PI) 1/2) (* a (* a b)))
(* (PI) 1/2)
(* a (* a b))
(/ (* (PI) (/ 1/2 b)) (* a a))
(* (PI) (/ 1/2 b))
(/ 1/2 b)
(/ (/ (* 1/2 (PI)) a) (* (- b a) (+ b a)))
(/ (* 1/2 (PI)) a)
(* 1/2 (PI))
(* a b)
(* a a)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b a))) (neg.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(neg.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (+.f64 b a))) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (+.f64 b a))) a))
(/.f64 (PI.f64) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a (+.f64 b a)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (PI.f64) (*.f64 a (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (*.f64 b a) (-.f64 (-.f64 #s(literal 0 binary64) b) a)))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal -2 binary64))) (neg.f64 (*.f64 a (+.f64 b a))))
(/.f64 (/.f64 (PI.f64) b) (*.f64 a (*.f64 (+.f64 b a) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a))) (/.f64 b (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (+.f64 b a))) a)
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64)))) (+.f64 b a))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (-.f64 (-.f64 #s(literal 0 binary64) b) a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (+.f64 b a))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 a (PI.f64)))
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 (+.f64 b a) #s(literal 2 binary64)))) b)
(/.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 (+.f64 b a) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 b a))) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64))))) (/.f64 a (PI.f64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a))) (PI.f64)) b)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (PI.f64)) a)
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (-.f64 (-.f64 #s(literal 0 binary64) b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (+.f64 b a))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 b a))) (*.f64 (+.f64 b a) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (-.f64 (-.f64 #s(literal 0 binary64) b) a))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b a))) (-.f64 (-.f64 #s(literal 0 binary64) b) a))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b a))) (+.f64 b a))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) a)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) b)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) a)) b)
(pow.f64 (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (*.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a))))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
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(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 b a) (*.f64 a (-.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 b a) (*.f64 a (-.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 (PI.f64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1 binary64)) (/.f64 (PI.f64) a))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 (/.f64 (PI.f64) a) (+.f64 b a)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (-.f64 b a))) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))) (fma.f64 a a (*.f64 b (-.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (-.f64 b a))) (*.f64 (+.f64 b a) (-.f64 b a)))) (-.f64 b a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1/2 binary64)) (/.f64 (PI.f64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (PI.f64) a)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (-.f64 b a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (PI.f64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) a))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (-.f64 b a))) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (-.f64 b a))) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (+.f64 b a)))))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (-.f64 b a))) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))) (fma.f64 a a (*.f64 b (-.f64 b a))))
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (-.f64 b a))) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1 binary64)) (-.f64 b a))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a))
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a))
(neg.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) a))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (PI.f64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.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 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (*.f64 b a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) #s(literal -1 binary64))
(*.f64 b a)
(*.f64 a b)
(*.f64 (*.f64 b a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 b a))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) a))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (*.f64 a a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) #s(literal -1 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) a)

simplify314.0ms (2.5%)

Memory
24.6MiB live, 576.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 460×accelerator-lowering-fma.f32
8 460×accelerator-lowering-fma.f64
3 726×*-lowering-*.f32
3 726×*-lowering-*.f64
2 076×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05303256
115533102
252762887
089592793
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) a))
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(+ (* 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))))))))
(* 1/2 (/ (PI) b))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -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)
(* 1/2 (/ (PI) b))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(* -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))
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(+ (* 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))))))))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -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)
(* 1/2 (/ (PI) a))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(* -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))
(/ 1/2 a)
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(/ 1/2 b)
(/ (+ 1/2 (* -1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)
(/ 1/2 b)
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(/ 1/2 b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(/ 1/2 a)
(/ (+ 1/2 (* -1/2 (/ b a))) a)
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)
(/ 1/2 a)
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))))))) a)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 3))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 3))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 3))
(* -1/2 (/ (PI) (pow a 3)))
(* -1 (/ (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* 1/2 (PI))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a)) (* 1/2 (* (PI) (+ b (* -1 b))))) a)) (* 1/2 (PI))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a)) (* 1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))))) a)) (* 1/2 (* (PI) (+ b (* -1 b))))) a)) (* 1/2 (PI))) (pow a 3)))
(* -1/2 (/ (PI) (pow a 3)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 5))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 7)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))))))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (* 1/2 (/ (PI) a)))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* a (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (/ (PI) a))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)) b)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* a b)
(* 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)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 (*.f64 a a) b))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.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 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)) (/.f64 (*.f64 b (*.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 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 b b #s(literal 0 binary64)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (fma.f64 b b #s(literal 0 binary64))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b))) (fma.f64 b b #s(literal 0 binary64)))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (*.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)))) (fma.f64 b b #s(literal 0 binary64)))
(/ (+ (* -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 (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (*.f64 (/.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 a b)) (*.f64 #s(literal 1/2 binary64) a))))) (fma.f64 b b #s(literal 0 binary64)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (fma.f64 b b #s(literal 0 binary64))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b))) (fma.f64 b b #s(literal 0 binary64)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 a (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) b))) (fma.f64 b b #s(literal 0 binary64)))
(/ (+ (* -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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b))) b)) b)) (fma.f64 b b #s(literal 0 binary64)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (fma.f64 b b #s(literal 0 binary64))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 (/.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)) (fma.f64 a (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64)) #s(literal 0 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 (fma.f64 (/.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 a (pow.f64 b #s(literal 5 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 (*.f64 a a) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) b)) (*.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 (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal 1/2 binary64) b (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) b))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 (*.f64 a a) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) a)) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) b) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) a) #s(literal 0 binary64))) a)) a)) (*.f64 a a))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
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(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (fma.f64 b b #s(literal 0 binary64))))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)) b)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64)) (/.f64 (fma.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64)) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64)))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64)) (/.f64 (fma.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64)) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64)))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)

eval205.0ms (1.7%)

Memory
37.1MiB live, 333.8MiB allocated
Compiler

Compiled 25 101 to 2 869 computations (88.6% saved)

prune185.0ms (1.5%)

Memory
-53.9MiB live, 363.2MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1 727101 737
Fresh8210
Picked235
Done000
Total1 737151 752
Accuracy
100.0%
Counts
1 752 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.7%
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (+.f64 b a)) (-.f64 b a))
93.9%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b (+.f64 b a)))
▶65.3%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a))
65.3%
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 a (PI.f64)))
65.3%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a)
▶60.2%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b a))
✓60.9%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a))
▶99.0%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
✓65.3%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
54.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
65.3%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
▶99.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (*.f64 b a))) (PI.f64))
▶60.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) (PI.f64))
✓60.9%
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
Compiler

Compiled 325 to 232 computations (28.6% saved)

simplify12.0ms (0.1%)

Memory
22.3MiB live, 22.3MiB allocated
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-diff384
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) b)
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))
✓cost-diff384
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b a))
✓cost-diff0
(*.f64 (+.f64 b a) (*.f64 b a))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
✓cost-diff0
(*.f64 a a)
✓cost-diff0
(*.f64 b (*.f64 a a))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) (PI.f64))
✓cost-diff0
(+.f64 b a)
✓cost-diff0
(*.f64 (+.f64 b a) (*.f64 b a))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (*.f64 b a)))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (*.f64 b a))) (PI.f64))
Rules
224×*-lowering-*.f32
224×*-lowering-*.f64
198×/-lowering-/.f32
198×/-lowering-/.f64
124×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020144
154144
2157144
3291144
4315144
0315144
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ 1/2 (* (+ b a) (* b a))) (PI))
(/ 1/2 (* (+ b a) (* b a)))
1/2
(* (+ b a) (* b a))
(+ b a)
b
a
(* b a)
(PI)
(* (/ 1/2 (* b (* a a))) (PI))
(/ 1/2 (* b (* a a)))
1/2
(* b (* a a))
b
(* a a)
a
(PI)
(/ (* (PI) 1/2) (* (+ b a) (* b a)))
(* (PI) 1/2)
(PI)
1/2
(* (+ b a) (* b a))
(+ b a)
b
a
(* b a)
(/ (* (PI) (/ 1/2 b)) (* b a))
(* (PI) (/ 1/2 b))
(PI)
(/ 1/2 b)
1/2
b
(* b a)
a
(/ (/ (* (PI) 1/2) a) (* b a))
(/ (* (PI) 1/2) a)
(* (PI) 1/2)
(PI)
1/2
a
(* b a)
b
Outputs
(* (/ 1/2 (* (+ b a) (* b a))) (PI))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/ 1/2 (* (+ b a) (* b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))
1/2
#s(literal 1/2 binary64)
(* (+ b a) (* b a))
(*.f64 b (*.f64 a (+.f64 b a)))
(+ b a)
(+.f64 b a)
b
a
(* b a)
(*.f64 b a)
(PI)
(PI.f64)
(* (/ 1/2 (* b (* a a))) (PI))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b a)))
(/ 1/2 (* b (* a a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a)))
1/2
#s(literal 1/2 binary64)
(* b (* a a))
(*.f64 a (*.f64 b a))
b
(* a a)
(*.f64 a a)
a
(PI)
(PI.f64)
(/ (* (PI) 1/2) (* (+ b a) (* b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
(* (PI) 1/2)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* (+ b a) (* b a))
(*.f64 b (*.f64 a (+.f64 b a)))
(+ b a)
(+.f64 b a)
b
a
(* b a)
(*.f64 b a)
(/ (* (PI) (/ 1/2 b)) (* b a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
(* (PI) (/ 1/2 b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(PI)
(PI.f64)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
b
(* b a)
(*.f64 b a)
a
(/ (/ (* (PI) 1/2) a) (* b a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b a)))
(/ (* (PI) 1/2) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* (PI) 1/2)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
a
(* b a)
(*.f64 b a)
b

localize353.0ms (2.8%)

Memory
-13.7MiB live, 143.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 b a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a))
✓accuracy99.6%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
✓accuracy100.0%
(*.f64 b a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b a))
✓accuracy99.5%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))
✓accuracy100.0%
(*.f64 b a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 (+.f64 b a) (*.f64 b a))
✓accuracy99.1%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) (PI.f64))
✓accuracy85.1%
(*.f64 b (*.f64 a a))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 (+.f64 b a) (*.f64 b a))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (*.f64 b a))) (PI.f64))
✓accuracy99.2%
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (*.f64 b a)))
Samples
118.0ms256×0valid
Compiler

Compiled 146 to 22 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-div: 83.0ms (81% of total)
ival-mult: 16.0ms (15.6% of total)
ival-add: 2.0ms (2% of total)
ival-pi: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated
Counts
17 → 312
Calls
Call 1
Inputs
#<alt (* (/ 1/2 (* (+ b a) (* b a))) (PI))>
#<alt (/ 1/2 (* (+ b a) (* b a)))>
#<alt (* (+ b a) (* b a))>
#<alt (+ b a)>
#<alt (* (/ 1/2 (* b (* a a))) (PI))>
#<alt (/ 1/2 (* b (* a a)))>
#<alt (* b (* a a))>
#<alt (* a a)>
#<alt (/ (* (PI) 1/2) (* (+ b a) (* b a)))>
#<alt (* (PI) 1/2)>
#<alt (PI)>
#<alt (/ (* (PI) (/ 1/2 b)) (* b a))>
#<alt (* (PI) (/ 1/2 b))>
#<alt (/ 1/2 b)>
#<alt (/ (/ (* (PI) 1/2) a) (* b a))>
#<alt (/ (* (PI) 1/2) a)>
#<alt (* b a)>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)>
#<alt (/ (+ (* b (- (* 1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)>
#<alt (/ (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (* 1/2 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ (* -1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (* 1/2 (/ 1 b))) (pow b 2))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) (pow b 2))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ (+ (* -1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a)>
#<alt (/ (+ (* a (- (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)>
#<alt (/ (+ (* a (- (* a (+ (* -1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (- (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (- (+ (* -1/2 (/ (pow b 2) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a)) (* 1/2 (/ 1 b))) (pow a 2))>
#<alt (* (pow a 2) b)>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* a (pow b 2))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* a (pow b 2))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* a (pow b 2))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
Calls

78 calls:

TimeVariablePointExpression
1.0ms
a
@0
(/ (* (PI) (/ 1/2 b)) (* b a))
1.0ms
b
@0
(/ (* (PI) (/ 1/2 b)) (* b a))
1.0ms
b
@inf
(/ 1/2 (* b (* a a)))
0.0ms
b
@-inf
(* (+ b a) (* b a))
0.0ms
a
@-inf
(* (+ b a) (* b a))

rewrite339.0ms (2.7%)

Memory
1.7MiB live, 593.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 160×*-lowering-*.f32
6 160×*-lowering-*.f64
4 788×/-lowering-/.f32
4 788×/-lowering-/.f64
1 120×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020103
1125103
2910103
08310103
Stop Event
1×iter limit
1×node limit
Counts
17 → 1 473
Calls
Call 1
Inputs
(* (/ 1/2 (* (+ b a) (* b a))) (PI))
(/ 1/2 (* (+ b a) (* b a)))
(* (+ b a) (* b a))
(+ b a)
(* (/ 1/2 (* b (* a a))) (PI))
(/ 1/2 (* b (* a a)))
(* b (* a a))
(* a a)
(/ (* (PI) 1/2) (* (+ b a) (* b a)))
(* (PI) 1/2)
(PI)
(/ (* (PI) (/ 1/2 b)) (* b a))
(* (PI) (/ 1/2 b))
(/ 1/2 b)
(/ (/ (* (PI) 1/2) a) (* b a))
(/ (* (PI) 1/2) a)
(* b a)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 a (+.f64 b a))))) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))))
(neg.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (PI.f64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (/.f64 (+.f64 b a) (PI.f64))))
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 b a))))
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (+.f64 b a)))))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 b a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 b a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (PI.f64))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 a (+.f64 b a)))))
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) a))
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal -2 binary64))) (*.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal -2 binary64))) (*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b a))))
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 a (*.f64 b #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (+.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b))
(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 (+.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64)))) (+.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) b))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 b a))))
(/.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (-.f64 #s(literal 0 binary64) (+.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 a (*.f64 b #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (+.f64 b a))) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (/.f64 a (PI.f64)))
(/.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) (/.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (+.f64 b a))) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (+.f64 b a))) b)
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 a (+.f64 b a)))))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (*.f64 b (/.f64 (+.f64 b a) (PI.f64))))
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(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b (*.f64 a (*.f64 a #s(literal 2 binary64))))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) b) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) b) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 a a)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a a)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 b (*.f64 a a))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a a)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) b) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) b) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a a)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (pow.f64 (/.f64 a (PI.f64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (pow.f64 (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 a a)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 a a)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) (/.f64 (PI.f64) b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) b)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (PI.f64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (PI.f64) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 b (*.f64 a (*.f64 a #s(literal 2 binary64))))) (pow.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 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 b (*.f64 a (*.f64 a #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b (*.f64 a (*.f64 a #s(literal 2 binary64))))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b (*.f64 a (*.f64 a #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 (PI.f64) (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a a)))) #s(literal -1/2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) #s(literal 1 binary64)) (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 a (PI.f64))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a))
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a))
(neg.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) #s(literal 1 binary64)))
(/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) a)
(pow.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal 1 binary64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) a)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) a)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) a))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (/.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) a))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (/.f64 #s(literal -1 binary64) a)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) a)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) a))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (pow.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 b (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 b a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal -1 binary64) a))
(*.f64 b a)
(*.f64 a b)
(*.f64 (*.f64 b a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 b a))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) a))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(*.f64 (/.f64 b #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))

simplify1.4s (11.6%)

Memory
-16.6MiB live, 741.1MiB allocated
Algorithm
1×egg-herbie
Rules
10 540×accelerator-lowering-fma.f32
10 540×accelerator-lowering-fma.f64
5 580×*-lowering-*.f32
5 580×*-lowering-*.f64
2 622×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02812906
17262844
218352828
354632828
085992734
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
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 (* (pow a 2) b))
(/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ (+ (* b (- (* 1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ 1/2 (* a (pow b 2)))
(/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))
(/ (- (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (* 1/2 (/ 1 b))) (pow b 2))
(/ (- (+ (* -1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (* 1/2 (/ 1 b))) (pow b 2))
(/ 1/2 (* a (pow b 2)))
(/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))
(/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) (pow b 2))
(/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) (pow b 2))
(/ 1/2 (* a (pow b 2)))
(/ (+ (* -1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a)
(/ (+ (* a (- (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)
(/ (+ (* a (- (* a (+ (* -1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)
(/ 1/2 (* (pow a 2) b))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))
(/ (- (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (* 1/2 (/ 1 a))) (pow a 2))
(/ (- (+ (* -1/2 (/ (pow b 2) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (* 1/2 (/ 1 a))) (pow a 2))
(/ 1/2 (* (pow a 2) b))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))
(/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2))
(/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a)) (* 1/2 (/ 1 b))) (pow a 2))
(* (pow a 2) b)
(* b (+ (* a b) (pow a 2)))
(* b (+ (* a b) (pow a 2)))
(* b (+ (* a b) (pow a 2)))
(* a (pow b 2))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* a (pow b 2))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* a (pow b 2))
(* a (+ (* a b) (pow b 2)))
(* a (+ (* a b) (pow b 2)))
(* a (+ (* a b) (pow b 2)))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 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))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (*.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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a a))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))) (*.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 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 a (*.f64 b b)) (/.f64 (PI.f64) a)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) a) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (/.f64 (fma.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 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) a) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (PI.f64) a)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 b (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (/.f64 b a)) (*.f64 (PI.f64) #s(literal -1/2 binary64))) 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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) a))) a)) a)) (*.f64 a a))
(/ 1/2 (* (pow a 2) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
(/ (+ (* b (- (* 1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)
(/.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 b (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))) b)
(/ (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b (/.f64 #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 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 b b))
(/ (- (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (* 1/2 (/ 1 b))) (pow b 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b b))
(/ (- (+ (* -1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (* 1/2 (/ 1 b))) (pow b 2))
(/.f64 (fma.f64 a (/.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))
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(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
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(/ (+ (* 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 (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (PI.f64) a)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 b (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (/.f64 b a)) (*.f64 (PI.f64) #s(literal -1/2 binary64))) 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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) a))) a)) a)) (*.f64 a a))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) b))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))
(* 1/2 (/ (PI) b))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))
(* 1/2 (/ (PI) b))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))
(* 1/2 (/ (PI) b))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))
(* 1/2 (/ (PI) b))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))
(* 1/2 (/ (PI) b))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))
(* 1/2 (/ (PI) b))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))
(* 1/2 (/ (PI) b))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))
(* 1/2 (/ (PI) b))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))
(* 1/2 (/ (PI) b))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))
(* 1/2 (/ (PI) b))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))
(* 1/2 (/ (PI) b))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) #s(literal 0 binary64))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* 1/2 (/ (PI) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) #s(literal 0 binary64))
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)

eval917.0ms (7.4%)

Memory
17.7MiB live, 399.9MiB allocated
Compiler

Compiled 35 346 to 3 558 computations (89.9% saved)

prune741.0ms (6%)

Memory
6.5MiB live, 404.3MiB allocated
Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New2 33472 341
Fresh707
Picked145
Done033
Total2 342142 356
Accuracy
100.0%
Counts
2 356 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓65.3%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a))
✓60.2%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b a))
✓60.9%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a))
✓99.0%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
59.8%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
54.7%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
✓65.3%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
99.0%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a)))
59.8%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b (PI.f64)) (*.f64 b a)))
65.3%
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a) (PI.f64))
65.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))
59.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
✓60.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) (PI.f64))
✓60.9%
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
Compiler

Compiled 854 to 270 computations (68.4% saved)

regimes49.0ms (0.4%)

Memory
-3.0MiB live, 35.5MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (fma.f64 b b #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (*.f64 b a))) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a) (PI.f64))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b (PI.f64)) (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a))
(/.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) a) (*.f64 b a))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 a (PI.f64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) a) b)
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) b) a)
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (+.f64 b a)) (-.f64 b a))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (fma.f64 b b #s(literal 0 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))))
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (*.f64 b a))) (+.f64 b a))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a) (/.f64 (-.f64 b a) b))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) b) (/.f64 (-.f64 b a) a))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 b a)))))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
Outputs
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a))
Calls

3 calls:

13.0ms
b
13.0ms
a
12.0ms
(*.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)

regimes21.0ms (0.2%)

Memory
34.7MiB live, 34.7MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (fma.f64 b b #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (*.f64 b a))) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a) (PI.f64))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b (PI.f64)) (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a))
(/.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) a) (*.f64 b a))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a)))
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (*.f64 b a))) (PI.f64))
Calls

3 calls:

7.0ms
a
7.0ms
b
6.0ms
(*.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
99.0%1a
99.0%1b
99.0%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)

regimes40.0ms (0.3%)

Memory
-18.0MiB live, 20.0MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (fma.f64 b b #s(literal 0 binary64))))
Outputs
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
Calls

3 calls:

32.0ms
(*.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)))
4.0ms
b
4.0ms
a
Results
AccuracySegmentsBranch
92.1%2a
91.3%2b
65.3%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)

regimes3.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
Calls

1 calls:

3.0ms
a
Results
AccuracySegmentsBranch
92.0%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
Calls

2 calls:

2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
86.9%2b
87.7%2a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.1%)

Memory
-79.5MiB live, 11.0MiB allocated
Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

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

3 calls:

2.0ms
b
2.0ms
a
2.0ms
(*.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
60.9%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)))
60.9%1b
60.9%1a
Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch14.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-3.016137017140346e-44
-3.3601736473443607e-45
Samples
8.0ms96×0valid
Compiler

Compiled 170 to 128 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33.1% of total)
ival-mult: 2.0ms (33.1% of total)
ival-sub: 1.0ms (16.6% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-3.016137017140346e-44
-3.3601736473443607e-45
Samples
9.0ms96×0valid
Compiler

Compiled 170 to 128 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (48.3% of total)
ival-mult: 2.0ms (32.2% of total)
ival-sub: 1.0ms (16.1% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Memory
-20.5MiB live, 16.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-3.016137017140346e-44
-3.3601736473443607e-45
Samples
8.0ms96×0valid
Compiler

Compiled 170 to 128 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (49.5% of total)
ival-mult: 2.0ms (33% of total)
ival-sub: 1.0ms (16.5% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Algorithm
1×egg-herbie
Rules
24×*-commutative_binary64
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03397
14697
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (*.f64 b a))) (PI.f64))
(if (<=.f64 a #s(literal -8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)))
(if (<=.f64 a #s(literal -3013008832985607/100433627766186892221372630771322662657637687111424552206336 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)))
(if (<=.f64 a #s(literal -8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
Outputs
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (*.f64 b a))) (PI.f64))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (*.f64 b a))))
(if (<=.f64 a #s(literal -8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)))
(if (<=.f64 a #s(literal -8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(if (<=.f64 a #s(literal -3013008832985607/100433627766186892221372630771322662657637687111424552206336 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)))
(if (<=.f64 a #s(literal -3013008832985607/100433627766186892221372630771322662657637687111424552206336 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(if (<=.f64 a #s(literal -8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)))
(if (<=.f64 a #s(literal -8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))

soundness879.0ms (7.1%)

Memory
9.2MiB live, 837.9MiB allocated
Rules
12 618×accelerator-lowering-fma.f32
12 618×accelerator-lowering-fma.f64
8 460×accelerator-lowering-fma.f32
8 460×accelerator-lowering-fma.f64
6 700×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025106
1169106
21290106
08446106
02911696
17681666
222951612
363831612
083411525
01549
111349
2111249
0919049
020103
1125103
2910103
08310103
05303256
115533102
252762887
089592793
033178
1255154
22926154
08226154
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 312 to 192 computations (38.5% saved)

preprocess107.0ms (0.9%)

Memory
-7.1MiB live, 114.7MiB allocated
Remove

(sort a b)

Compiler

Compiled 296 to 128 computations (56.8% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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