NMSE Section 6.1 mentioned, B

Time bar (total: 11.3s)

analyze515.0ms (4.6%)

Memory
-152.2MiB live, 140.9MiB allocated
Algorithm
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)

sample1.5s (13.4%)

Memory
30.3MiB live, 2 006.4MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 788.0ms
ival-div: 356.0ms (45.2% of total)
ival-mult: 233.0ms (29.6% of total)
ival-sub: 148.0ms (18.8% of total)
ival-pi: 34.0ms (4.3% of total)
exact: 9.0ms (1.1% of total)
ival-true: 5.0ms (0.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess347.0ms (3.1%)

Memory
15.6MiB live, 516.2MiB allocated
Algorithm
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
iter limit
node limit
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)) (*.f64 (+.f64 b a) (-.f64 b a)))
Call 2
Inputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b)))
(* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b)))))
(* (* (/ (PI) 2) (/ 1 (- (* a a) (* b b)))) (- (/ 1 b) (/ 1 a)))
Outputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(/ (* (* (PI) 1/2) (/ (+ (/ 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)

explain188.0ms (1.7%)

Memory
8.4MiB live, 415.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
232(-3.196579244563288e+226 1.517117427135066e-130)3(-1.5102908935036744e-117 8.859952809195637e+157)(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
140-0-(-.f64 (*.f64 b b) (*.f64 a a))
40-0-(/.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*u220
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue140
(*.f64 b b)overflow53
(*.f64 a a)overflow56
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o40
(*.f64 b b)overflow53
(*.f64 a a)overflow56
(-.f64 (*.f64 b b) (*.f64 a a))overflow95
Confusion
Predicted +Predicted -
+377
-3209
Precision
0.925
Recall
0.8409090909090909
Confusion?
Predicted +Predicted MaybePredicted -
+3707
-30209
Precision?
0.925
Recall?
0.8409090909090909
Freqs
test
numberfreq
0216
140
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
59.0ms512×0valid
Compiler

Compiled 204 to 64 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 18.0ms (46.5% of total)
ival-mult: 13.0ms (33.6% of total)
ival-sub: 5.0ms (12.9% of total)
ival-pi: 2.0ms (5.2% of total)
exact: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% 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
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.0%
(*.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)

simplify282.0ms (2.5%)

Memory
-6.8MiB live, 373.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.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
iter limit
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)) (*.f64 (+.f64 b a) (-.f64 b a)))
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a)))
(/ (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) (*.f64 (+.f64 b a) (-.f64 b a)))
1
#s(literal 1 binary64)
(- (* b b) (* a a))
(*.f64 (+.f64 b a) (-.f64 b a))
(* b b)
(*.f64 b b)
b
(* a a)
(*.f64 a a)
a
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)

localize46.0ms (0.4%)

Memory
5.0MiB live, 84.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
accuracy99.1%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
accuracy94.9%
(-.f64 (*.f64 b b) (*.f64 a a))
accuracy92.2%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Samples
30.0ms256×0valid
Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (41.7% of total)
ival-mult: 6.0ms (35.7% of total)
ival-sub: 2.0ms (11.9% of total)
ival-pi: 1.0ms (6% 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
-16.5MiB live, 22.6MiB 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
@0
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
1.0ms
b
@0
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
1.0ms
b
@0
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
1.0ms
a
@inf
(* (* (/ (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)))

rewrite325.0ms (2.9%)

Memory
12.4MiB live, 563.0MiB allocated
Algorithm
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
iter limit
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 (neg.f64 (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 (neg.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 (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 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (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))) (neg.f64 b)))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 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))) (neg.f64 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))) (neg.f64 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))) (neg.f64 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))) (neg.f64 b)))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 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))) (neg.f64 b)))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 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))) (neg.f64 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))) (neg.f64 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))) (neg.f64 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))) (neg.f64 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))) (neg.f64 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))) (neg.f64 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))) (neg.f64 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))) (neg.f64 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))) (neg.f64 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)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (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) 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) b) (PI.f64)) (/.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 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1 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))
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(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 (neg.f64 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 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))) (neg.f64 (*.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 (neg.f64 (fma.f64 a a (*.f64 b b))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 b (neg.f64 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 (neg.f64 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)))

simplify449.0ms (4%)

Memory
4.2MiB live, 588.9MiB allocated
Algorithm
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
iter limit
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 (*.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 (PI.f64) (*.f64 (/.f64 b (*.f64 a (*.f64 a a))) #s(literal -1/2 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))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) (/.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))) (* 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) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.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 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (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))
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(/.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 a (neg.f64 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 (*.f64 b b))) (*.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 (*.f64 b b))) (*.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))

eval129.0ms (1.1%)

Memory
37.2MiB live, 147.1MiB allocated
Compiler

Compiled 22 369 to 2 043 computations (90.9% saved)

prune226.0ms (2%)

Memory
4.5MiB live, 234.2MiB allocated
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New65920679
Fresh000
Picked101
Done000
Total66020680
Accuracy
100.0%
Counts
680 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.6%
(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))) (neg.f64 b)))
89.2%
(fma.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 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
91.3%
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (+.f64 b a)))
91.3%
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 b a))
83.8%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
55.1%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
47.5%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
61.2%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
54.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
83.8%
(/.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)))))
99.6%
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
78.1%
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) b) (/.f64 (-.f64 b a) a))
84.2%
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
91.2%
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
99.5%
(*.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)))
91.2%
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
91.3%
(*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
92.1%
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
91.2%
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 (-.f64 b a) (*.f64 b a))))
Compiler

Compiled 838 to 504 computations (39.9% saved)

simplify407.0ms (3.6%)

Memory
-4.3MiB live, 365.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 b a) (+.f64 b a))
cost-diff0
(*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))
cost-diff704
(/.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)))))
cost-diff1024
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (-.f64 b a))))
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))
cost-diff384
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 b a))
cost-diff1024
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.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
(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
cost-diff0
(-.f64 b a)
cost-diff0
(/.f64 (-.f64 b a) (*.f64 b a))
cost-diff704
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
cost-diff1088
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a))
Rules
5 586×*-lowering-*.f32
5 586×*-lowering-*.f64
4 276×accelerator-lowering-fma.f32
4 276×accelerator-lowering-fma.f64
3 574×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033269
1119269
2484231
32705231
46584231
08070231
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (/ (- b a) (* b a)) (- b a)) (/ (* (PI) 1/2) (+ b a)))
(/ (/ (- b a) (* b a)) (- b a))
(/ (- b a) (* b a))
(- b a)
b
a
(* b a)
(/ (* (PI) 1/2) (+ b a))
(* (PI) 1/2)
(PI)
1/2
(+ b a)
(/ (* 1/2 (PI)) (* a (* a b)))
(* 1/2 (PI))
1/2
(PI)
(* 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)
(/ (* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a)) (* b a))
(* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a))
(/ (* (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)
(/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* (PI) (* 1/2 (- b a)))))
1
(/ (* (* (- b a) (+ b a)) (* b a)) (* (PI) (* 1/2 (- b a))))
(* (* (- b a) (+ b a)) (* b a))
(* (- b a) (+ b a))
(- b a)
b
a
(+ b a)
(* b a)
(* (PI) (* 1/2 (- b a)))
(PI)
(* 1/2 (- b a))
1/2
Outputs
(* (/ (/ (- b a) (* b a)) (- b a)) (/ (* (PI) 1/2) (+ b a)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))))
(/ (/ (- b a) (* b a)) (- b a))
(/.f64 #s(literal 1 binary64) (*.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) 1/2) (+ b a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (+.f64 b a)))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(+ b a)
(+.f64 b a)
(/ (* 1/2 (PI)) (* a (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 b a))))
(* 1/2 (PI))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
(* a (* a b))
(*.f64 a (*.f64 b a))
a
(* a b)
(*.f64 b a)
b
(/ (* (PI) (+ (/ -1/2 a) (/ 1/2 b))) (* a a))
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) (*.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)
(/ (* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a)) (* b a))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))))
(* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (+.f64 b a)))
(/ (* (PI) 1/2) (* (- b a) (+ b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 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)
(*.f64 b a)
(/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* (PI) (* 1/2 (- b a)))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))))
1
#s(literal 1 binary64)
(/ (* (* (- b a) (+ b a)) (* b a)) (* (PI) (* 1/2 (- b a))))
(/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* (* (- b a) (+ b a)) (* b a))
(*.f64 (-.f64 b a) (*.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)
(* b a)
(*.f64 b a)
(* (PI) (* 1/2 (- b a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (PI.f64)))
(PI)
(PI.f64)
(* 1/2 (- b a))
(*.f64 (-.f64 b a) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize191.0ms (1.7%)

Memory
-14.1MiB live, 179.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))
accuracy99.1%
(/.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)))))
accuracy98.0%
(*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))
accuracy86.2%
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (-.f64 b a))))
accuracy100.0%
(PI.f64)
accuracy99.7%
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 b a))
accuracy99.1%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))
accuracy59.6%
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.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))
accuracy99.5%
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
accuracy97.3%
(/.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 #s(literal 1/2 binary64) (PI.f64))
accuracy100.0%
(PI.f64)
accuracy99.8%
(*.f64 a (*.f64 a b))
accuracy99.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
accuracy99.8%
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
accuracy99.6%
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a))
accuracy99.6%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))
accuracy79.1%
(/.f64 (-.f64 b a) (*.f64 b a))
Samples
108.0ms256×0valid
Compiler

Compiled 281 to 35 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-div: 41.0ms (50.4% of total)
ival-mult: 35.0ms (43% of total)
ival-sub: 2.0ms (2.5% of total)
ival-add: 2.0ms (2.5% of total)
ival-pi: 1.0ms (1.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series53.0ms (0.5%)

Memory
6.1MiB live, 82.1MiB allocated
Counts
21 → 432
Calls
Call 1
Inputs
#<alt (/ (/ (- b a) (* b a)) (- b a))>
#<alt (* (/ (/ (- b a) (* b a)) (- b a)) (/ (* (PI) 1/2) (+ b a)))>
#<alt (/ (- b a) (* b a))>
#<alt (- b a)>
#<alt (/ (* 1/2 (PI)) (* a (* a b)))>
#<alt (* 1/2 (PI))>
#<alt (PI)>
#<alt (* a (* a b))>
#<alt (/ (* (PI) (+ (/ -1/2 a) (/ 1/2 b))) (* a a))>
#<alt (* (PI) (+ (/ -1/2 a) (/ 1/2 b)))>
#<alt (+ (/ -1/2 a) (/ 1/2 b))>
#<alt (* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a))>
#<alt (/ (* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a)) (* b a))>
#<alt (/ (* (PI) 1/2) (* (- b a) (+ b a)))>
#<alt (* (PI) 1/2)>
#<alt (/ (* (* (- b a) (+ b a)) (* b a)) (* (PI) (* 1/2 (- b a))))>
#<alt (/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* (PI) (* 1/2 (- b a)))))>
#<alt (* (* (- b a) (+ b a)) (* b a))>
#<alt (* (- b a) (+ b a))>
#<alt (/ (* (PI) 1/2) (+ b a))>
#<alt (* (PI) (* 1/2 (- b a)))>
Outputs
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* 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)))>
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#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))>
#<alt (* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))>
#<alt (* 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 (* (pow a 3) b))>
#<alt (* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))>
#<alt (* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))>
#<alt (* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))>
#<alt (* a (pow b 3))>
#<alt (* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))>
#<alt (* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))>
#<alt (* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))>
#<alt (* a (pow b 3))>
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))>
#<alt (* a (pow b 3))>
#<alt (* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))>
#<alt (* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))>
#<alt (* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))>
#<alt (* -1 (* (pow a 3) b))>
#<alt (* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))>
#<alt (* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))>
#<alt (* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))>
#<alt (* -1 (* (pow a 3) b))>
#<alt (* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))>
#<alt (* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))>
#<alt (* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))>
#<alt (* -1 (pow a 2))>
#<alt (+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))>
#<alt (+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))>
#<alt (+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))>
#<alt (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))>
#<alt (pow b 2)>
#<alt (+ (* a (+ b (* -1 b))) (pow b 2))>
#<alt (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))>
#<alt (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))>
#<alt (* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))>
#<alt (* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))>
#<alt (* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))>
#<alt (* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))>
#<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 (PI)))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (* 1/2 (* b (PI)))>
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))>
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))>
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))>
#<alt (* 1/2 (* b (PI)))>
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))>
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))>
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))>
#<alt (* 1/2 (* b (PI)))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))>
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))>
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))>
Calls

108 calls:

TimeVariablePointExpression
11.0ms
a
@inf
(* (* (- b a) (+ b a)) (* b a))
5.0ms
b
@-inf
(/ (* 1/2 (PI)) (* a (* a b)))
3.0ms
b
@0
(/ (* 1/2 (PI)) (* a (* a b)))
1.0ms
b
@0
(/ (/ (- b a) (* b a)) (- b a))
1.0ms
b
@inf
(* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a))

rewrite545.0ms (4.8%)

Memory
-18.1MiB live, 500.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 428×/-lowering-/.f32
5 428×/-lowering-/.f64
5 080×*-lowering-*.f32
5 080×*-lowering-*.f64
1 802×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033213
1245165
22550165
08397165
Stop Event
iter limit
node limit
Counts
21 → 1 762
Calls
Call 1
Inputs
(/ (/ (- b a) (* b a)) (- b a))
(* (/ (/ (- b a) (* b a)) (- b a)) (/ (* (PI) 1/2) (+ b a)))
(/ (- b a) (* b a))
(- b a)
(/ (* 1/2 (PI)) (* a (* a b)))
(* 1/2 (PI))
(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))
(* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a))
(/ (* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a)) (* b a))
(/ (* (PI) 1/2) (* (- b a) (+ b a)))
(* (PI) 1/2)
(/ (* (* (- b a) (+ b a)) (* b a)) (* (PI) (* 1/2 (- b a))))
(/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* (PI) (* 1/2 (- b a)))))
(* (* (- b a) (+ b a)) (* b a))
(* (- b a) (+ b a))
(/ (* (PI) 1/2) (+ b a))
(* (PI) (* 1/2 (- b a)))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b a) (*.f64 b (/.f64 a (-.f64 b a))))) #s(literal -1 binary64)))
(-.f64 (/.f64 b (*.f64 (-.f64 b a) (*.f64 b a))) (/.f64 a (*.f64 (-.f64 b a) (*.f64 b a))))
(-.f64 (/.f64 (/.f64 b (*.f64 b a)) (-.f64 b a)) (/.f64 (/.f64 a (*.f64 b a)) (-.f64 b a)))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (+.f64 b a) (*.f64 b b))) (*.f64 (-.f64 b a) (*.f64 b a))) (/.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 a (+.f64 b a) (*.f64 b b))) (*.f64 (-.f64 b a) (*.f64 b a))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b a)) (*.f64 (-.f64 b a) (*.f64 b a))) (/.f64 (/.f64 (*.f64 a a) (+.f64 b a)) (*.f64 (-.f64 b a) (*.f64 b a))))
(-.f64 (/.f64 (/.f64 b (*.f64 b a)) (neg.f64 (neg.f64 (-.f64 b a)))) (/.f64 (/.f64 a (*.f64 b a)) (neg.f64 (neg.f64 (-.f64 b a)))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a)))) (/.f64 (*.f64 a a) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (-.f64 b a) (*.f64 b a)))) (/.f64 (-.f64 b a) (neg.f64 (*.f64 (-.f64 b a) (*.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 b a) (*.f64 b (neg.f64 a)))) (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (*.f64 b (neg.f64 a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (neg.f64 (-.f64 b a))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (-.f64 b a) (*.f64 b a)) (fma.f64 a (+.f64 b a) (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (-.f64 b a) (*.f64 b a)) (fma.f64 a (+.f64 b a) (*.f64 b b)))))
(-.f64 (/.f64 (/.f64 b b) (*.f64 a (-.f64 b a))) (/.f64 (/.f64 a b) (*.f64 a (-.f64 b a))))
(neg.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (neg.f64 (-.f64 b a))))
(/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (*.f64 b a)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a))
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 a (-.f64 b a))) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (-.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 b a) (*.f64 b (/.f64 a (-.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 b (/.f64 a (-.f64 b a))) (-.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 b a)) (neg.f64 (*.f64 (-.f64 b a) (*.f64 b a))))
(/.f64 (neg.f64 (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 b (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b (neg.f64 a))))
(/.f64 (neg.f64 (/.f64 (-.f64 b a) (*.f64 b a))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (/.f64 (-.f64 b a) (*.f64 b a))) (neg.f64 (neg.f64 (neg.f64 (-.f64 b a)))))
(/.f64 (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a)) (*.f64 (*.f64 (-.f64 b a) (*.f64 b a)) (fma.f64 a (+.f64 b a) (*.f64 b b))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 b (/.f64 a (-.f64 b a))))
(/.f64 (/.f64 (-.f64 b a) b) (*.f64 a (-.f64 b a)))
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (-.f64 b a) (*.f64 b a)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) #s(literal 1 binary64)) (-.f64 b a))
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) #s(literal 1 binary64)) (*.f64 (*.f64 b (neg.f64 a)) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal 1 binary64)) (*.f64 a (-.f64 b a)))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a))) (neg.f64 (*.f64 (*.f64 (-.f64 b a) (*.f64 b a)) (fma.f64 a (+.f64 b a) (*.f64 b b)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 b a))) (neg.f64 (neg.f64 (*.f64 (-.f64 b a) (*.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 b a))) (neg.f64 (*.f64 (-.f64 b a) (*.f64 b (neg.f64 a)))))
(/.f64 (neg.f64 (/.f64 (-.f64 b a) b)) (neg.f64 (*.f64 a (-.f64 b a))))
(/.f64 (/.f64 (-.f64 b a) (-.f64 b a)) (*.f64 b a))
(/.f64 (*.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (*.f64 b a))
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (*.f64 b (neg.f64 a)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) b) (/.f64 #s(literal 1 binary64) (-.f64 b a))) a)
(/.f64 (neg.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 b a) (*.f64 b a))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) #s(literal 1 binary64))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (/.f64 (-.f64 b a) (-.f64 b a))) (*.f64 b (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 b (neg.f64 a)) (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal 1 binary64))) (neg.f64 (*.f64 a (-.f64 b a))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a))) (neg.f64 (*.f64 b (/.f64 a (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) (*.f64 b (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) (neg.f64 (*.f64 b (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) b) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) (neg.f64 a))
(pow.f64 (*.f64 (-.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 b (/.f64 a (-.f64 b a))) (-.f64 b a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 a)))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a))) (fma.f64 a (+.f64 b a) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b a))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a)))) (neg.f64 (fma.f64 a (+.f64 b a) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 (+.f64 b a)))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))
(*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

simplify435.0ms (3.8%)

Memory
-17.4MiB live, 465.3MiB allocated
Algorithm
egg-herbie
Rules
6 142×accelerator-lowering-fma.f32
6 142×accelerator-lowering-fma.f64
4 004×*-lowering-*.f32
4 004×*-lowering-*.f64
1 666×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05735773
117705352
264975218
085124970
Stop Event
iter limit
node limit
Counts
432 → 432
Calls
Call 1
Inputs
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* 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 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) 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 (/ (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 (/ (* 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))
(* 2 (/ (* (pow a 2) b) (PI)))
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* 2 (/ (* a (pow b 2)) (PI)))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* 2 (/ (* a (pow b 2)) (PI)))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* 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 (* (pow a 3) b))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(* a (pow b 3))
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* a (pow b 3))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* a (pow b 3))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(* -1 (* (pow a 3) b))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* -1 (* (pow a 3) b))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* -1 (pow a 2))
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(pow b 2)
(+ (* a (+ b (* -1 b))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(* -1 (pow a 2))
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* 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 (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(* 1/2 (* b (PI)))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* 1/2 (* b (PI)))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* 1/2 (* b (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(* -1/2 (* a (PI)))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* -1/2 (* a (PI)))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
Outputs
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(* 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 (*.f64 b (PI.f64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (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 (*.f64 b (PI.f64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (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 a (/.f64 (PI.f64) (*.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) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) a)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) 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 a (*.f64 #s(literal 1/2 binary64) (PI.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 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 a (/.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 b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (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 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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 5 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 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
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(*.f64 a (fma.f64 a (*.f64 a (neg.f64 b)) (*.f64 b (*.f64 b b))))
(* a (pow b 3))
(*.f64 a (*.f64 b (*.f64 b b)))
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(*.f64 a (*.f64 b (*.f64 b b)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(*.f64 (*.f64 b (*.f64 b b)) (fma.f64 (neg.f64 a) (/.f64 (*.f64 a a) (*.f64 b b)) a))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(*.f64 (*.f64 b (*.f64 b b)) (fma.f64 (neg.f64 a) (/.f64 (*.f64 a a) (*.f64 b b)) a))
(* a (pow b 3))
(*.f64 a (*.f64 b (*.f64 b b)))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(*.f64 a (*.f64 b (*.f64 b b)))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(*.f64 (*.f64 b (*.f64 b b)) (fma.f64 (neg.f64 a) (/.f64 (*.f64 a a) (*.f64 b b)) a))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(*.f64 (*.f64 b (*.f64 b b)) (fma.f64 (neg.f64 a) (/.f64 (*.f64 a a) (*.f64 b b)) a))
(* a (pow b 3))
(*.f64 a (*.f64 b (*.f64 b b)))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(*.f64 a (*.f64 b (*.f64 b b)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(*.f64 a (fma.f64 a (*.f64 a (neg.f64 b)) (*.f64 b (*.f64 b b))))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(*.f64 a (fma.f64 a (*.f64 a (neg.f64 b)) (*.f64 b (*.f64 b b))))
(* -1 (* (pow a 3) b))
(*.f64 a (*.f64 a (*.f64 a (neg.f64 b))))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(*.f64 a (*.f64 a (*.f64 a (neg.f64 b))))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a a)) (-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)) b))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a a)) (-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)) b))
(* -1 (* (pow a 3) b))
(*.f64 a (*.f64 a (*.f64 a (neg.f64 b))))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(*.f64 a (*.f64 a (*.f64 a (neg.f64 b))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(*.f64 (*.f64 a (*.f64 a a)) (-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)) b))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(*.f64 (*.f64 a (*.f64 a a)) (-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)) b))
(* -1 (pow a 2))
(*.f64 a (neg.f64 a))
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(*.f64 a (neg.f64 a))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(*.f64 (+.f64 a b) (-.f64 b a))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(*.f64 (+.f64 a b) (-.f64 b a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(*.f64 b b)
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(*.f64 b (*.f64 b (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(*.f64 b (*.f64 b (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(*.f64 b b)
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(*.f64 b (*.f64 b (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(*.f64 b (*.f64 b (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(pow b 2)
(*.f64 b b)
(+ (* a (+ b (* -1 b))) (pow b 2))
(*.f64 b b)
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(*.f64 (+.f64 a b) (-.f64 b a))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(*.f64 (+.f64 a b) (-.f64 b a))
(* -1 (pow a 2))
(*.f64 a (neg.f64 a))
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(*.f64 a (neg.f64 a))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(* -1 (pow a 2))
(*.f64 a (neg.f64 a))
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(*.f64 a (neg.f64 a))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (PI.f64)) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))
(+ (* 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))))))))
(fma.f64 b (fma.f64 b (fma.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/.f64 (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a (/.f64 (PI.f64) (*.f64 b b))) (PI.f64)) (/.f64 (*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) b)) 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)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 (PI.f64) b) (/.f64 (*.f64 a (*.f64 (PI.f64) (*.f64 a a))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a (/.f64 (PI.f64) (*.f64 b b))) (PI.f64)))) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(/.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 a (*.f64 #s(literal 1/2 binary64) (PI.f64)))) b)) (neg.f64 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))
(/.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 (PI.f64) (*.f64 a a))) b) (*.f64 (PI.f64) (*.f64 (*.f64 a a) #s(literal -1/2 binary64)))) b)) b)) (neg.f64 b))
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (PI.f64)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
(+ (* 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))))))))
(fma.f64 a (fma.f64 a (fma.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/.f64 (fma.f64 b (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)) (*.f64 b (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)))) 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)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 (PI.f64) a) (/.f64 (*.f64 b (*.f64 b (*.f64 b (PI.f64)))) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)))) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(/.f64 (fma.f64 b (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) a)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(/.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b (/.f64 (PI.f64) a))))) a)) (neg.f64 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))
(/.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b (*.f64 b (/.f64 (PI.f64) a)))) (*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) a)) a)) (neg.f64 a))
(* -1/2 (* a (PI)))
(*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(*.f64 (PI.f64) (fma.f64 b #s(literal 1/2 binary64) (*.f64 a #s(literal -1/2 binary64))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(*.f64 (PI.f64) (fma.f64 b #s(literal 1/2 binary64) (*.f64 a #s(literal -1/2 binary64))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(*.f64 (PI.f64) (fma.f64 b #s(literal 1/2 binary64) (*.f64 a #s(literal -1/2 binary64))))
(* 1/2 (* b (PI)))
(*.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(*.f64 b (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(*.f64 b (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(*.f64 b (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(* 1/2 (* b (PI)))
(*.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(*.f64 b (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(*.f64 b (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(*.f64 b (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(* 1/2 (* b (PI)))
(*.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(*.f64 (PI.f64) (fma.f64 b #s(literal 1/2 binary64) (*.f64 a #s(literal -1/2 binary64))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(*.f64 (PI.f64) (fma.f64 b #s(literal 1/2 binary64) (*.f64 a #s(literal -1/2 binary64))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(*.f64 (PI.f64) (fma.f64 b #s(literal 1/2 binary64) (*.f64 a #s(literal -1/2 binary64))))
(* -1/2 (* a (PI)))
(*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(*.f64 a (fma.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(*.f64 a (fma.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(*.f64 a (fma.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(* -1/2 (* a (PI)))
(*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(*.f64 a (fma.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(*.f64 a (fma.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(*.f64 a (fma.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 (PI.f64) #s(literal -1/2 binary64))))

eval401.0ms (3.5%)

Memory
60.1MiB live, 856.4MiB allocated
Compiler

Compiled 64 898 to 5 555 computations (91.4% saved)

prune316.0ms (2.8%)

Memory
-46.8MiB live, 647.1MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New2 703192 722
Fresh14115
Picked415
Done000
Total2 721212 742
Accuracy
100.0%
Counts
2 742 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.4%
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) b) a)
97.4%
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) a) b)
55.0%
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a)
99.6%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a))
55.0%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a)
67.0%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
99.6%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (*.f64 b a))
52.5%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a))
52.2%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
61.2%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
54.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
52.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 a a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
61.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b b))) (PI.f64)))
99.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a)))
99.0%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
96.4%
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))))
99.7%
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
52.5%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
52.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b))
98.9%
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (*.f64 b a))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
52.1%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
Compiler

Compiled 527 to 376 computations (28.7% saved)

simplify28.0ms (0.2%)

Memory
25.0MiB live, 64.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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) b)
cost-diff384
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a)
cost-diff0
(+.f64 b a)
cost-diff0
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64))
cost-diff384
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (*.f64 b a))
cost-diff0
(*.f64 a a)
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 a a))
cost-diff384
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
cost-diff0
(*.f64 b (*.f64 a a))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a 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 b a))
cost-diff704
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
Rules
686×*-lowering-*.f32
686×*-lowering-*.f64
346×times-frac
258×associate-*r/
240×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024154
163150
2165150
3370150
4777150
5935150
6978150
7979150
8979150
0979150
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (/ (* (PI) 1/2) (+ b a)) (/ 1 (* b a)))
(/ (* (PI) 1/2) (+ b a))
(* (PI) 1/2)
(PI)
1/2
(+ b a)
b
a
(/ 1 (* b a))
1
(* b a)
(* (PI) (/ 1/2 (* b (* a a))))
(PI)
(/ 1/2 (* b (* a a)))
1/2
(* b (* a a))
b
(* a a)
a
(* (/ (PI) (* a a)) (/ 1/2 b))
(/ (PI) (* a a))
(PI)
(* a a)
a
(/ 1/2 b)
1/2
b
(/ (* (/ 1/2 (+ b a)) (PI)) (* b a))
(* (/ 1/2 (+ b a)) (PI))
(/ 1/2 (+ b a))
1/2
(+ b a)
b
a
(PI)
(* b a)
(/ (/ (/ (* (PI) 1/2) a) b) a)
(/ (/ (* (PI) 1/2) a) b)
(/ (* (PI) 1/2) a)
(* (PI) 1/2)
(PI)
1/2
a
b
Outputs
(* (/ (* (PI) 1/2) (+ b a)) (/ 1 (* b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a))))
(/ (* (PI) 1/2) (+ b a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(+ b a)
(+.f64 b a)
b
a
(/ 1 (* b a))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
1
#s(literal 1 binary64)
(* b a)
(*.f64 b a)
(* (PI) (/ 1/2 (* b (* a a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(PI)
(PI.f64)
(/ 1/2 (* b (* a a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
1/2
#s(literal 1/2 binary64)
(* b (* a a))
(*.f64 b (*.f64 a a))
b
(* a a)
(*.f64 a a)
a
(* (/ (PI) (* a a)) (/ 1/2 b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/ (PI) (* a a))
(/.f64 (PI.f64) (*.f64 a a))
(PI)
(PI.f64)
(* a a)
(*.f64 a a)
a
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
b
(/ (* (/ 1/2 (+ b a)) (PI)) (* b a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a))))
(* (/ 1/2 (+ b a)) (PI))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))
(/ 1/2 (+ b a))
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
1/2
#s(literal 1/2 binary64)
(+ b a)
(+.f64 b a)
b
a
(PI)
(PI.f64)
(* b a)
(*.f64 b a)
(/ (/ (/ (* (PI) 1/2) a) b) a)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/ (/ (* (PI) 1/2) a) b)
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a)))
(/ (* (PI) 1/2) a)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
a
b

localize131.0ms (1.2%)

Memory
-2.4MiB live, 193.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(PI.f64)
accuracy99.8%
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a)
accuracy99.6%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b)
accuracy99.6%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
accuracy100.0%
(PI.f64)
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
accuracy99.7%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (*.f64 b a))
accuracy99.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(PI.f64)
accuracy99.5%
(/.f64 (PI.f64) (*.f64 a a))
accuracy92.5%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
accuracy100.0%
(PI.f64)
accuracy99.7%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
accuracy99.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
accuracy92.1%
(*.f64 b (*.f64 a a))
accuracy100.0%
(PI.f64)
accuracy99.8%
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
accuracy99.6%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))
accuracy99.1%
(/.f64 #s(literal 1 binary64) (*.f64 b a))
Samples
96.0ms256×0valid
Compiler

Compiled 154 to 26 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 41.0ms (69.5% of total)
ival-div: 15.0ms (25.4% of total)
ival-pi: 1.0ms (1.7% of total)
ival-add: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
-30.9MiB live, 40.7MiB allocated
Counts
18 → 348
Calls
Call 1
Inputs
#<alt (* (/ (* (PI) 1/2) (+ b a)) (/ 1 (* b a)))>
#<alt (/ (* (PI) 1/2) (+ b a))>
#<alt (* (PI) 1/2)>
#<alt (PI)>
#<alt (* (PI) (/ 1/2 (* b (* a a))))>
#<alt (/ 1/2 (* b (* a a)))>
#<alt (* b (* a a))>
#<alt (* (/ (PI) (* a a)) (/ 1/2 b))>
#<alt (/ (PI) (* a a))>
#<alt (* a a)>
#<alt (/ (* (/ 1/2 (+ b a)) (PI)) (* b a))>
#<alt (* (/ 1/2 (+ b a)) (PI))>
#<alt (/ 1/2 (+ b a))>
#<alt (+ b a)>
#<alt (/ (/ (/ (* (PI) 1/2) a) b) a)>
#<alt (/ (/ (* (PI) 1/2) a) b)>
#<alt (/ (* (PI) 1/2) a)>
#<alt (/ 1 (* 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 (/ (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 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (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 (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* 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 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 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
Calls

87 calls:

TimeVariablePointExpression
10.0ms
b
@-inf
(/ 1/2 (+ b a))
1.0ms
b
@inf
(/ 1/2 (* b (* a a)))
1.0ms
b
@0
(/ (/ (* (PI) 1/2) a) b)
0.0ms
a
@0
(/ (PI) (* a a))
0.0ms
b
@0
(/ 1/2 (* b (* a a)))

rewrite310.0ms (2.7%)

Memory
6.1MiB live, 639.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 098×/-lowering-/.f32
5 098×/-lowering-/.f64
4 810×*-lowering-*.f32
4 810×*-lowering-*.f64
1 482×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024112
1155112
21191112
08092112
Stop Event
iter limit
node limit
Counts
18 → 1 568
Calls
Call 1
Inputs
(* (/ (* (PI) 1/2) (+ b a)) (/ 1 (* b a)))
(/ (* (PI) 1/2) (+ b a))
(* (PI) 1/2)
(PI)
(* (PI) (/ 1/2 (* b (* a a))))
(/ 1/2 (* b (* a a)))
(* b (* a a))
(* (/ (PI) (* a a)) (/ 1/2 b))
(/ (PI) (* a a))
(* a a)
(/ (* (/ 1/2 (+ b a)) (PI)) (* b a))
(* (/ 1/2 (+ b a)) (PI))
(/ 1/2 (+ b a))
(+ b a)
(/ (/ (/ (* (PI) 1/2) a) b) a)
(/ (/ (* (PI) 1/2) a) b)
(/ (* (PI) 1/2) a)
(/ 1 (* b a))
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 a (-.f64 a b))))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 a (-.f64 a b))) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 b b)))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) b) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 a)))
(+.f64 (*.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))))
(+.f64 (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))))
(+.f64 (*.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))))) (*.f64 (neg.f64 a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b 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)) (*.f64 b (*.f64 a (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 b) a)) (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (-.f64 (neg.f64 b) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b (neg.f64 a))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (-.f64 (neg.f64 b) a)) b)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (neg.f64 a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))))))
(fma.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))))
(fma.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 b b) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 a (-.f64 a b))))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 a (-.f64 a b)) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 b b)))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) b (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 a)))
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (-.f64 (neg.f64 b) a)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(neg.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a)))))
(neg.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (+.f64 b a)))))
(neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal -1/2 binary64) (+.f64 b a))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)) (/.f64 (+.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 a)) (+.f64 b a)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/.f64 (PI.f64) (*.f64 (*.f64 a (+.f64 b a)) (*.f64 b #s(literal 2 binary64))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 a (-.f64 (neg.f64 b) a)) 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 a (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 a (-.f64 (neg.f64 b) a)) b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 (neg.f64 b) a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)))
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(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) b) a))
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b (neg.f64 a))))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) #s(literal -1 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (neg.f64 a))))
(*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b 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 b a)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b a)))
(*.f64 (pow.f64 (/.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (pow.f64 (/.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (pow.f64 (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))))
(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) (neg.f64 a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a))
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a))
(/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) a)
(pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 #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 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) a))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) a))
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (neg.f64 a)))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (neg.f64 (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 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 (/.f64 #s(literal -1 binary64) a) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) a))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) a) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) a) (sqrt.f64 (PI.f64)))
(*.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)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 b a))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(neg.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)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 a)))
(/.f64 (/.f64 #s(literal 1 binary64) b) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) b)
(/.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a))
(/.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 b))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64)) (neg.f64 a))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a)
(pow.f64 (*.f64 b a) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 b a) (*.f64 b a)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 b a) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.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 1 binary64) (*.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 b a) #s(literal -1/2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1/2 binary64)))

simplify448.0ms (4%)

Memory
-9.3MiB live, 821.5MiB allocated
Algorithm
egg-herbie
Rules
8 164×accelerator-lowering-fma.f32
8 164×accelerator-lowering-fma.f64
4 166×/-lowering-/.f32
4 166×/-lowering-/.f64
4 024×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03873846
110813796
229063636
364453618
082923496
Stop Event
iter limit
node limit
Counts
348 → 348
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 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) 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)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* 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))
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 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (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 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))) (*.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))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.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)))) (*.f64 b b) (*.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) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.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 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) a)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b))) (neg.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 (PI.f64) a) (*.f64 (PI.f64) (/.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) b))) 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 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (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 #s(literal 1/2 binary64) (*.f64 a (*.f64 (PI.f64) (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (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))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64))) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) 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 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) a) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (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 (PI.f64) (/.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) a))) a)) (neg.f64 a))) (*.f64 a a))
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(*.f64 (/.f64 (PI.f64) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (*.f64 b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)))))
(+ (* 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))))))))
(fma.f64 b (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64)))) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)) (*.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b))) 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)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (*.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 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)))) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) a) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(/.f64 (-.f64 (*.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 (PI.f64) (*.f64 a #s(literal -1/2 binary64)))) b)) (neg.f64 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))
(/.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 a (*.f64 a a))) b) (*.f64 (PI.f64) (*.f64 (*.f64 a a) #s(literal -1/2 binary64)))) b)) b)) (neg.f64 b))
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(*.f64 (/.f64 (PI.f64) b) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (*.f64 a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)))))
(+ (* 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))))))))
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(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))

eval265.0ms (2.3%)

Memory
38.0MiB live, 731.0MiB allocated
Compiler

Compiled 34 977 to 3 531 computations (89.9% saved)

prune231.0ms (2%)

Memory
12.5MiB live, 581.2MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New2 251102 261
Fresh7815
Picked415
Done011
Total2 262202 282
Accuracy
100.0%
Counts
2 282 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.4%
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) a) b)
97.1%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))) b)
67.0%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
93.9%
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) a)
55.0%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a)
67.0%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
52.5%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a))
96.4%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
52.2%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
61.2%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
54.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
61.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b b))) (PI.f64)))
99.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a)))
99.0%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
54.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b a)) (PI.f64)))
99.7%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
52.5%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
52.5%
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
96.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
54.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
Compiler

Compiled 462 to 332 computations (28.1% saved)

simplify13.0ms (0.1%)

Memory
-17.4MiB live, 20.6MiB allocated
Algorithm
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)) (*.f64 a (+.f64 b a)))
cost-diff384
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))) b)
cost-diff0
(PI.f64)
cost-diff0
(/.f64 #s(literal 1/2 binary64) b)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64))
cost-diff384
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
cost-diff0
(*.f64 b (*.f64 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 b (*.f64 a (+.f64 b a))))
cost-diff0
(*.f64 b a)
cost-diff0
(*.f64 a (*.f64 b a))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a)))
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
cost-diff0
(*.f64 b a)
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 b a))
cost-diff384
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
Rules
224×*-lowering-*.f32
224×*-lowering-*.f64
198×/-lowering-/.f32
198×/-lowering-/.f64
124×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021151
163151
2174151
3311151
4339151
5339151
0339151
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (/ (PI) (* b a)) (/ 1/2 (+ b a)))
(/ (PI) (* b a))
(PI)
(* b a)
b
a
(/ 1/2 (+ b a))
1/2
(+ b a)
(* (/ 1/2 (* a (* b a))) (PI))
(/ 1/2 (* a (* b a)))
1/2
(* a (* b a))
a
(* b a)
b
(PI)
(/ (* (PI) 1/2) (* b (* a (+ b a))))
(* (PI) 1/2)
(PI)
1/2
(* b (* a (+ b a)))
b
(* a (+ b a))
a
(+ b a)
(/ (* (/ 1/2 b) (PI)) (* b a))
(* (/ 1/2 b) (PI))
(/ 1/2 b)
1/2
b
(PI)
(* b a)
a
(/ (/ (* (PI) 1/2) (* a (+ b a))) b)
(/ (* (PI) 1/2) (* a (+ b a)))
(* (PI) 1/2)
(PI)
1/2
(* a (+ b a))
a
(+ b a)
b
Outputs
(* (/ (PI) (* b a)) (/ 1/2 (+ b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/ (PI) (* b a))
(/.f64 (PI.f64) (*.f64 b a))
(PI)
(PI.f64)
(* b a)
(*.f64 b a)
b
a
(/ 1/2 (+ b a))
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
1/2
#s(literal 1/2 binary64)
(+ b a)
(+.f64 b a)
(* (/ 1/2 (* a (* b a))) (PI))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(/ 1/2 (* a (* b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
1/2
#s(literal 1/2 binary64)
(* a (* b a))
(*.f64 b (*.f64 a a))
a
(* b a)
(*.f64 b a)
b
(PI)
(PI.f64)
(/ (* (PI) 1/2) (* b (* a (+ b a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* b (* a (+ b a)))
(*.f64 b (*.f64 a (+.f64 b a)))
b
(* a (+ b a))
(*.f64 a (+.f64 b a))
a
(+ b a)
(+.f64 b a)
(/ (* (/ 1/2 b) (PI)) (* b a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b a))))
(* (/ 1/2 b) (PI))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
b
(PI)
(PI.f64)
(* b a)
(*.f64 b a)
a
(/ (/ (* (PI) 1/2) (* a (+ b a))) b)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/ (* (PI) 1/2) (* a (+ b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a)))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* a (+ b a))
(*.f64 a (+.f64 b a))
a
(+ b a)
(+.f64 b a)
b

localize105.0ms (0.9%)

Memory
21.0MiB live, 247.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 a (+.f64 b a))
accuracy100.0%
(PI.f64)
accuracy99.2%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a)))
accuracy97.5%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))) b)
accuracy100.0%
(*.f64 b a)
accuracy100.0%
(PI.f64)
accuracy99.7%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
accuracy99.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64))
accuracy100.0%
(*.f64 a (+.f64 b a))
accuracy100.0%
(PI.f64)
accuracy99.0%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
accuracy97.3%
(*.f64 b (*.f64 a (+.f64 b a)))
accuracy100.0%
(PI.f64)
accuracy99.8%
(*.f64 a (*.f64 b a))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
accuracy99.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a)))
accuracy100.0%
(PI.f64)
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
accuracy99.7%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
accuracy99.0%
(/.f64 (PI.f64) (*.f64 b a))
Samples
61.0ms256×0valid
Compiler

Compiled 153 to 23 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 16.0ms (37.8% of total)
ival-mult: 14.0ms (33.1% of total)
ival-add: 11.0ms (26% of total)
ival-pi: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
0.8MiB live, 39.4MiB allocated
Counts
17 → 336
Calls
Call 1
Inputs
#<alt (* (/ (PI) (* b a)) (/ 1/2 (+ b a)))>
#<alt (/ (PI) (* b a))>
#<alt (PI)>
#<alt (* b a)>
#<alt (* (/ 1/2 (* a (* b a))) (PI))>
#<alt (/ 1/2 (* a (* b a)))>
#<alt (* a (* b a))>
#<alt (/ (* (PI) 1/2) (* b (* a (+ b a))))>
#<alt (* (PI) 1/2)>
#<alt (* b (* a (+ b a)))>
#<alt (/ (* (/ 1/2 b) (PI)) (* b a))>
#<alt (* (/ 1/2 b) (PI))>
#<alt (/ 1/2 b)>
#<alt (/ (/ (* (PI) 1/2) (* a (+ b a))) b)>
#<alt (/ (* (PI) 1/2) (* a (+ b a)))>
#<alt (/ 1/2 (+ b a))>
#<alt (* a (+ 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 (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (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 (* 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 (* (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 (* 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) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) a)>
#<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)))))))) a)>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2))>
#<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)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (PI)) a)) (* 1/2 (* (pow b 2) (PI)))) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2))))>
#<alt (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4))))))>
#<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))))))))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) b)>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) b)>
#<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)))))) b)>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* -1 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (* -1/2 (/ (PI) a))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (* -1/2 (/ (PI) a))) b))>
#<alt (/ 1/2 a)>
#<alt (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))>
#<alt (+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))>
#<alt (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))>
#<alt (/ 1/2 b)>
#<alt (/ (+ 1/2 (* -1/2 (/ a b))) b)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)>
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)>
#<alt (/ 1/2 b)>
#<alt (* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))>
#<alt (/ 1/2 b)>
#<alt (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))>
#<alt (/ 1/2 a)>
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) a)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)>
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)>
#<alt (/ 1/2 a)>
#<alt (* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))>
#<alt (* a b)>
#<alt (* a (+ a b))>
#<alt (* a (+ a b))>
#<alt (* a (+ a b))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (pow a 2)>
#<alt (+ (* a b) (pow a 2))>
#<alt (+ (* a b) (pow a 2))>
#<alt (+ (* a b) (pow a 2))>
#<alt (* a b)>
#<alt (* b (+ a (/ (pow a 2) b)))>
#<alt (* b (+ a (/ (pow a 2) b)))>
#<alt (* b (+ a (/ (pow a 2) b)))>
#<alt (* a b)>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))>
Calls

84 calls:

TimeVariablePointExpression
3.0ms
a
@0
(/ (* (/ 1/2 b) (PI)) (* b a))
1.0ms
b
@0
(/ (* (/ 1/2 b) (PI)) (* b a))
0.0ms
b
@-inf
(* b (* a (+ b a)))
0.0ms
b
@inf
(/ (* (/ 1/2 b) (PI)) (* b a))
0.0ms
a
@inf
(/ (* (/ 1/2 b) (PI)) (* b a))

rewrite314.0ms (2.8%)

Memory
0.3MiB live, 770.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 910×/-lowering-/.f32
5 910×/-lowering-/.f64
5 228×*-lowering-*.f32
5 228×*-lowering-*.f64
1 578×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021109
1140109
21127109
08520109
Stop Event
iter limit
node limit
Counts
17 → 1 655
Calls
Call 1
Inputs
(* (/ (PI) (* b a)) (/ 1/2 (+ b a)))
(/ (PI) (* b a))
(PI)
(* b a)
(* (/ 1/2 (* a (* b a))) (PI))
(/ 1/2 (* a (* b a)))
(* a (* b a))
(/ (* (PI) 1/2) (* b (* a (+ b a))))
(* (PI) 1/2)
(* b (* a (+ b a)))
(/ (* (/ 1/2 b) (PI)) (* b a))
(* (/ 1/2 b) (PI))
(/ 1/2 b)
(/ (/ (* (PI) 1/2) (* a (+ b a))) b)
(/ (* (PI) 1/2) (* a (+ b a)))
(/ 1/2 (+ b a))
(* a (+ b a))
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))) (*.f64 b b)) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))) (*.f64 a (-.f64 a b))))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))) (*.f64 a (-.f64 a b))) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 b a))) (*.f64 b b)))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) b) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) (neg.f64 a)))
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(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a))))
(pow.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a a (*.f64 b (-.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (pow.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (neg.f64 a) b) (-.f64 b a))) (neg.f64 (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b))
(+.f64 (*.f64 b a) (*.f64 a a))
(+.f64 (*.f64 b a) (neg.f64 (*.f64 a (neg.f64 a))))
(+.f64 (*.f64 a a) (*.f64 b a))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a (+.f64 b a))))
(-.f64 (/.f64 (*.f64 (*.f64 b a) (*.f64 b a)) (*.f64 a (-.f64 b a))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a (-.f64 b a))))
(fma.f64 b a (*.f64 a a))
(fma.f64 b a (neg.f64 (*.f64 a (neg.f64 a))))
(fma.f64 b (neg.f64 (neg.f64 a)) (*.f64 a a))
(fma.f64 b (neg.f64 (neg.f64 a)) (neg.f64 (*.f64 a (neg.f64 a))))
(fma.f64 a b (*.f64 a a))
(fma.f64 a b (neg.f64 (*.f64 a (neg.f64 a))))
(fma.f64 a a (*.f64 b a))
(fma.f64 (*.f64 b a) #s(literal 1 binary64) (*.f64 a a))
(fma.f64 (*.f64 b a) #s(literal 1 binary64) (neg.f64 (*.f64 a (neg.f64 a))))
(fma.f64 #s(literal 1 binary64) (*.f64 b a) (*.f64 a a))
(fma.f64 #s(literal 1 binary64) (*.f64 b a) (neg.f64 (*.f64 a (neg.f64 a))))
(fma.f64 (neg.f64 b) (neg.f64 a) (*.f64 a a))
(fma.f64 (neg.f64 b) (neg.f64 a) (neg.f64 (*.f64 a (neg.f64 a))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b a)) (*.f64 a a))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b a)) (neg.f64 (*.f64 a (neg.f64 a))))
(fma.f64 (neg.f64 a) (neg.f64 b) (*.f64 a a))
(fma.f64 (neg.f64 a) (neg.f64 b) (neg.f64 (*.f64 a (neg.f64 a))))
(fma.f64 (neg.f64 (neg.f64 a)) b (*.f64 a a))
(fma.f64 (neg.f64 (neg.f64 a)) b (neg.f64 (*.f64 a (neg.f64 a))))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 b a))
(neg.f64 (neg.f64 (*.f64 a (+.f64 b a))))
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(/.f64 (*.f64 a (+.f64 b a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b a) (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b)))) (*.f64 (fma.f64 (*.f64 b a) (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b)))) (*.f64 a (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 b a)) (*.f64 (*.f64 a (+.f64 b a)) (*.f64 a (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)))
(/.f64 (neg.f64 (*.f64 a (+.f64 b a))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 b a) (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b)))) (*.f64 a (+.f64 b a))) (fma.f64 (*.f64 b a) (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b)))))
(/.f64 (*.f64 (fma.f64 (*.f64 b a) (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b)))) (*.f64 a (+.f64 b a))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b))))))
(/.f64 (*.f64 (*.f64 a (+.f64 b a)) (*.f64 a (-.f64 b a))) (*.f64 a (-.f64 b a)))
(/.f64 (*.f64 (*.f64 a (+.f64 b a)) (*.f64 a (-.f64 b a))) (*.f64 #s(literal 1 binary64) (*.f64 a (-.f64 b a))))
(/.f64 (*.f64 (*.f64 a (+.f64 b a)) (*.f64 a (-.f64 a b))) (*.f64 a (-.f64 a b)))
(/.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a a (*.f64 b (-.f64 b a))))
(/.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
(/.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 #s(literal 1 binary64) (-.f64 b a)))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (fma.f64 a a (*.f64 b (-.f64 b a))))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (*.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a) (-.f64 b a))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a) (*.f64 #s(literal 1 binary64) (-.f64 b a)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b a) (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b)))) (*.f64 a (+.f64 b a)))) (neg.f64 (fma.f64 (*.f64 b a) (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a (+.f64 b a)) (*.f64 a (-.f64 b a)))) (neg.f64 (*.f64 a (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a)) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)) (neg.f64 (-.f64 b a)))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a)))) (fma.f64 (*.f64 a a) (*.f64 a a) (-.f64 (*.f64 (*.f64 b a) (*.f64 b a)) (*.f64 (*.f64 a a) (*.f64 b a)))))
(/.f64 (*.f64 a (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (*.f64 a (*.f64 (-.f64 (neg.f64 a) b) (-.f64 b a))) (neg.f64 (-.f64 b a)))
(/.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b))
(/.f64 (*.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) a) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 a) b) (-.f64 b a)) a) (neg.f64 (-.f64 b a)))
(/.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) a) (-.f64 a b))
(*.f64 a (+.f64 b a))
(*.f64 (+.f64 b a) a)
(*.f64 (+.f64 b a) (neg.f64 (neg.f64 a)))
(*.f64 (*.f64 a (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b a)))
(*.f64 (-.f64 (neg.f64 a) b) (neg.f64 a))
(*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 a (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 a (-.f64 b a)))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a (+.f64 b a))))
(*.f64 (neg.f64 a) (-.f64 (neg.f64 a) b))
(*.f64 (*.f64 (fma.f64 (*.f64 b a) (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b)))) (*.f64 a (+.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (*.f64 b a) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b))))))
(*.f64 (*.f64 (*.f64 a (+.f64 b a)) (*.f64 a (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 b a))))
(*.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (neg.f64 (neg.f64 a)) (+.f64 b a))
(*.f64 (/.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a a) (*.f64 (-.f64 a b) (-.f64 a b)))))) (fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (*.f64 a (-.f64 a b)) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)))))
(*.f64 (/.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))
(*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 b a))
(*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a a) (*.f64 (-.f64 a b) (-.f64 a b)))))) (fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (*.f64 a (-.f64 a b)) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)))))
(*.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 b a))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a))))

simplify450.0ms (4%)

Memory
9.6MiB live, 645.4MiB allocated
Algorithm
egg-herbie
Rules
8 806×accelerator-lowering-fma.f32
8 806×accelerator-lowering-fma.f64
4 134×*-lowering-*.f32
4 134×*-lowering-*.f64
2 540×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03573721
19933669
226333545
361633533
083013395
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) 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)
(* 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))
(* (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)))
(* 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) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a b)))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) a)
(/ (+ (* 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)))))))) a)
(* 1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -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)))))) (pow a 2))
(* 1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (PI)) a)) (* 1/2 (* (pow b 2) (PI)))) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) (pow a 2))
(* 1/2 (/ (PI) (pow a 2)))
(+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2))))
(+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4))))))
(+ (* 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))))))))
(* 1/2 (/ (PI) (* a b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) b)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) 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)))))) b)
(* 1/2 (/ (PI) (* a b)))
(* -1 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (* -1/2 (/ (PI) a))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (* -1/2 (/ (PI) a))) b))
(/ 1/2 a)
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(/ 1/2 b)
(/ (+ 1/2 (* -1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)
(/ 1/2 b)
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(/ 1/2 b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(/ 1/2 a)
(/ (+ 1/2 (* -1/2 (/ b a))) a)
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)
(/ 1/2 a)
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))
(* a b)
(* a (+ a b))
(* a (+ a b))
(* a (+ a b))
(pow a 2)
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(pow a 2)
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(pow a 2)
(+ (* a b) (pow a 2))
(+ (* a b) (pow a 2))
(+ (* a b) (pow a 2))
(* a b)
(* b (+ a (/ (pow a 2) b)))
(* b (+ a (/ (pow a 2) b)))
(* b (+ a (/ (pow a 2) b)))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 b (/.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) (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 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (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 #s(literal -1/2 binary64) (*.f64 (PI.f64) b)) (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 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (*.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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (fma.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 (PI.f64) (*.f64 a #s(literal -1/2 binary64)))) 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 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (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 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (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))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64))) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) 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 #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 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 (*.f64 a a) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
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(* -1 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) b))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (* -1/2 (/ (PI) a))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) a) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) b) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) b)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (* -1/2 (/ (PI) a))) b))
(/.f64 (-.f64 (/.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 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) b)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(/.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)) a)
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 (*.f64 b b) a) b) #s(literal 1/2 binary64)) a)
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(fma.f64 b (fma.f64 b (*.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (+.f64 (/.f64 b a) #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) a))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ (+ 1/2 (* -1/2 (/ a b))) b)
(/.f64 (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (-.f64 (/.f64 (*.f64 a a) b) a) #s(literal 1/2 binary64)) b)
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 a a) b) a)) b) a)) b)) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(/.f64 (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)) b)
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (-.f64 (/.f64 (*.f64 a a) b) a) #s(literal 1/2 binary64)) b)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 a a) b) a)) b) a)) b)) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(/.f64 (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)) b)
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (-.f64 (/.f64 (*.f64 a a) b) a) #s(literal 1/2 binary64)) 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)))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 a #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (+.f64 (/.f64 a b) #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) b))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ (+ 1/2 (* -1/2 (/ b a))) a)
(/.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)) a)
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 (*.f64 b b) a) b) #s(literal 1/2 binary64)) a)
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b (-.f64 (/.f64 (*.f64 b b) a) b)) a) b)) a)) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))
(/.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)) a)
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 (*.f64 b b) a) b) #s(literal 1/2 binary64)) a)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b (-.f64 (/.f64 (*.f64 b b) a) b)) a) b)) a)) a)
(* a b)
(*.f64 a b)
(* a (+ a b))
(*.f64 a (+.f64 a b))
(* a (+ a b))
(*.f64 a (+.f64 a b))
(* a (+ a b))
(*.f64 a (+.f64 a b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(pow a 2)
(*.f64 a a)
(+ (* a b) (pow a 2))
(*.f64 a (+.f64 a b))
(+ (* a b) (pow a 2))
(*.f64 a (+.f64 a b))
(+ (* a b) (pow a 2))
(*.f64 a (+.f64 a b))
(* a b)
(*.f64 a b)
(* b (+ a (/ (pow a 2) b)))
(*.f64 a (+.f64 a b))
(* b (+ a (/ (pow a 2) b)))
(*.f64 a (+.f64 a b))
(* b (+ a (/ (pow a 2) b)))
(*.f64 a (+.f64 a b))
(* a b)
(*.f64 a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(*.f64 a (+.f64 a b))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(*.f64 a (+.f64 a b))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(*.f64 a (+.f64 a b))

eval848.0ms (7.5%)

Memory
-37.2MiB live, 616.8MiB allocated
Compiler

Compiled 37 905 to 3 587 computations (90.5% saved)

prune245.0ms (2.2%)

Memory
10.6MiB live, 698.8MiB allocated
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New2 387112 398
Fresh7613
Picked325
Done022
Total2 397212 418
Accuracy
100.0%
Counts
2 418 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.4%
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) a) b)
61.2%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b b)) a)
67.0%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) b)
67.0%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 b a))
55.0%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a)
52.5%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a))
66.8%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b))
52.2%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
96.4%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
61.2%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
54.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
54.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b a)) (PI.f64)))
66.8%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) b))
99.0%
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (PI.f64))))
66.8%
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (neg.f64 (*.f64 b a))) (PI.f64)))
67.0%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
52.5%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
52.5%
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
66.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64))
96.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
54.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
Compiler

Compiled 1 053 to 357 computations (66.1% saved)

regimes53.0ms (0.5%)

Memory
-1.5MiB live, 117.4MiB allocated
Counts
61 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.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 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b a)) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) b)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b b)) a)
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (neg.f64 (*.f64 b a))) (PI.f64)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))) b)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b b))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 a a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a)
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a)))
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) a) b)
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) 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 #s(literal 1 binary64) (*.f64 b (/.f64 a (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.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))) (*.f64 b b))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (*.f64 b a))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.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 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.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 #s(literal 1 binary64) (*.f64 b a)))
(/.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))) 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 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #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) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)))
(fma.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 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
Outputs
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
Calls

3 calls:

17.0ms
a
17.0ms
b
16.0ms
(*.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)

regimes36.0ms (0.3%)

Memory
6.2MiB live, 45.5MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.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 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b a)) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) b)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b b)) a)
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (neg.f64 (*.f64 b a))) (PI.f64)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))) b)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b b))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 a a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a)
Outputs
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
Calls

3 calls:

14.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
10.0ms
a
10.0ms
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)

regimes36.0ms (0.3%)

Memory
1.2MiB live, 39.0MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.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 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b a)) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) b)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b b)) a)
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (neg.f64 (*.f64 b a))) (PI.f64)))
Outputs
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
Calls

3 calls:

20.0ms
(*.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)))
7.0ms
b
7.0ms
a
Results
AccuracySegmentsBranch
99.3%2a
96.4%1b
96.4%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)

regimes10.0ms (0.1%)

Memory
-19.3MiB live, 18.0MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.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 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b a)) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) b)
Outputs
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
Calls

1 calls:

9.0ms
a
Results
AccuracySegmentsBranch
99.3%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.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 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 b a)) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 a a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 b a))
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
Calls

1 calls:

6.0ms
a
Results
AccuracySegmentsBranch
99.0%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.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 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
Calls

1 calls:

4.0ms
a
Results
AccuracySegmentsBranch
98.9%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory
-16.7MiB live, 25.3MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.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 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b))
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b))
Calls

3 calls:

6.0ms
a
3.0ms
b
3.0ms
(*.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
69.6%2(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
87.4%2b
91.2%2a
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes4.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.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 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64))
Calls

1 calls:

3.0ms
a
Results
AccuracySegmentsBranch
91.2%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64))
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64))
Calls

1 calls:

2.0ms
a
Results
AccuracySegmentsBranch
91.1%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
-22.5MiB live, 16.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
Calls

3 calls:

4.0ms
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
54.7%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)))
54.7%1b
54.7%1a
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes4.0ms (0%)

Memory
13.6MiB live, 13.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
a
1.0ms
b
1.0ms
(*.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
52.1%1b
52.1%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)))
52.1%1a
Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch19.0ms (0.2%)

Memory
7.5MiB live, 46.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-5.4736061094992174e+88
-6.589998262771602e+85
Samples
11.0ms128×0valid
Compiler

Compiled 234 to 172 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48.2% of total)
ival-mult: 3.0ms (36.1% of total)
ival-pi: 1.0ms (12% of total)
ival-sub: 1.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
0.1MiB live, 37.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-2.6222145905465517e+94
-5.978764419048294e+90
Samples
11.0ms128×0valid
Compiler

Compiled 234 to 172 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48.2% of total)
ival-mult: 3.0ms (36.2% of total)
ival-pi: 1.0ms (12.1% of total)
ival-sub: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Memory
0.1MiB live, 43.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
-2.391732244525728e+156
-3.545237401546383e+153
Samples
15.0ms128×0valid
Compiler

Compiled 234 to 172 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (49.4% of total)
ival-div: 4.0ms (32.9% of total)
ival-sub: 1.0ms (8.2% 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)

bsearch5.0ms (0%)

Memory
9.9MiB live, 9.9MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
-9.598343337589903e+109
-3.412189213367623e+108
Samples
3.0ms32×0valid
Compiler

Compiled 78 to 58 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (48.6% of total)
ival-mult: 1.0ms (48.6% of total)
ival-pi: 0.0ms (0% of total)
ival-sub: 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)

bsearch17.0ms (0.1%)

Memory
1.7MiB live, 40.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-6.890572038270432e-55
-9.849685532337754e-56
Samples
9.0ms96×0valid
Compiler

Compiled 170 to 128 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (45.2% of total)
ival-mult: 2.0ms (30.1% of total)
ival-sub: 1.0ms (15.1% 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)

bsearch16.0ms (0.1%)

Memory
-33.6MiB live, 44.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
-6.890572038270432e-55
-9.849685532337754e-56
Samples
10.0ms96×0valid
Compiler

Compiled 170 to 128 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (50% of total)
ival-mult: 2.0ms (25% of total)
ival-sub: 1.0ms (12.5% 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)

bsearch17.0ms (0.1%)

Memory
-3.0MiB live, 43.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-6.890572038270432e-55
-9.849685532337754e-56
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 (48.1% of total)
ival-mult: 2.0ms (32.1% of total)
ival-sub: 1.0ms (16% 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)

simplify9.0ms (0.1%)

Memory
31.8MiB live, 31.8MiB allocated
Algorithm
egg-herbie
Rules
30×*-commutative_binary64
+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060204
178204
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(if (<=.f64 a #s(literal -54000000000000003109044314978072576250460291069771925224617597156418886204170142855725056 binary64)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -25999999999999999043552115068407320281269896292368080747726394541208884424895196742038084124672 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)))
(if (<=.f64 a #s(literal -7039781273726375/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b)))
(if (<=.f64 a #s(literal -4693187515817583/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64)))
(if (<=.f64 a #s(literal -8558165470020299/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
Outputs
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(if (<=.f64 a #s(literal -54000000000000003109044314978072576250460291069771925224617597156418886204170142855725056 binary64)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -25999999999999999043552115068407320281269896292368080747726394541208884424895196742038084124672 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -25999999999999999043552115068407320281269896292368080747726394541208884424895196742038084124672 binary64)) (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)))
(if (<=.f64 a #s(literal -50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344 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 a (+.f64 b a))))))
(if (<=.f64 a #s(literal -7039781273726375/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) b)))
(if (<=.f64 a #s(literal -7039781273726375/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))))
(if (<=.f64 a #s(literal -4693187515817583/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64)))
(if (<=.f64 a #s(literal -4693187515817583/6901746346790563787434755862277025452451108972170386555162524223799296 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 -8558165470020299/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)) (PI.f64)))
(if (<=.f64 a #s(literal -8558165470020299/27606985387162255149739023449108101809804435888681546220650096895197184 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)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))) (PI.f64))
(*.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 a a))))

soundness1.1s (9.8%)

Memory
5.4MiB live, 1 031.2MiB allocated
Rules
12 618×accelerator-lowering-fma.f32
12 618×accelerator-lowering-fma.f64
8 164×accelerator-lowering-fma.f32
8 164×accelerator-lowering-fma.f64
6 700×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033213
1245165
22550165
08397165
02911696
17681666
222951612
363831612
083411525
024112
1155112
21191112
08092112
03873846
110813796
229063636
364453618
082923496
021109
1140109
21127109
08520109
01549
111349
2111249
0919049
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 637 to 375 computations (41.1% saved)

preprocess75.0ms (0.7%)

Memory
-10.2MiB live, 142.2MiB allocated
Remove

(sort a b)

Compiler

Compiled 518 to 188 computations (63.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...