NMSE Section 6.1 mentioned, B

Time bar (total: 11.6s)

analyze108.0ms (0.9%)

Memory
-6.4MiB live, 255.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
12.5%12.5%87.4%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
46.9%46.8%53.1%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
71.1%71%28.9%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
85%84.9%15%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.8s (15.2%)

Memory
23.9MiB live, 2 121.2MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 918.0ms
ival-div: 356.0ms (38.8% of total)
ival-mult: 304.0ms (33.1% of total)
ival-sub: 122.0ms (13.3% of total)
ival-pi: 120.0ms (13.1% of total)
exact: 8.0ms (0.9% of total)
ival-true: 5.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess381.0ms (3.3%)

Memory
-7.3MiB live, 558.4MiB allocated
Algorithm
2×egg-herbie
Rules
8 062×accelerator-lowering-fma.f32
8 062×accelerator-lowering-fma.f64
4 668×*-lowering-*.f32
4 668×*-lowering-*.f64
2 098×neg-lowering-neg.f64
Iterations

Useful iterations: 4 (0.0ms)

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

(sort a b)

explain184.0ms (1.6%)

Memory
-27.6MiB live, 347.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-4(-7.461990265131738e+154 1.5595166650893205e-287)(*.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)))
170-0-(-.f64 (*.f64 b b) (*.f64 a a))
61(-2.502158172113643e-156 3.7152675612618906e+161)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*u310
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue170
↳(*.f64 b b)overflow61
↳(*.f64 a a)overflow74
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o70
↳(*.f64 b b)overflow61
↳(*.f64 a a)overflow74
↳(-.f64 (*.f64 b b) (*.f64 a a))overflow118
Confusion
Predicted +Predicted -
+534
-2197
Precision
0.9636363636363636
Recall
0.9298245614035088
Confusion?
Predicted +Predicted MaybePredicted -
+5304
-20197
Precision?
0.9636363636363636
Recall?
0.9298245614035088
Freqs
test
numberfreq
0201
155
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
71.0ms512×0valid
Compiler

Compiled 204 to 64 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 22.0ms (42% of total)
ival-sub: 14.0ms (26.7% of total)
ival-div: 13.0ms (24.8% of total)
ival-pi: 2.0ms (3.8% of total)
exact: 1.0ms (1.9% 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)

prune11.0ms (0.1%)

Memory
-37.8MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.4%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify293.0ms (2.5%)

Memory
44.4MiB live, 673.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
01577
13573
29773
338272
4155871
5426571
0838771
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
(/ (PI) 2)
(PI)
2
(/ 1 (- (* b b) (* a a)))
1
(- (* b b) (* a a))
(* b b)
b
(* a a)
a
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(/ 1 b)
Outputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 b a) (-.f64 b a) #s(literal 0 binary64)))
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 b a) (-.f64 a b) #s(literal 0 binary64))))
(/ (PI) 2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(/ 1 (- (* b b) (* a a)))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 b a) (-.f64 b a) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(- (* b b) (* a a))
(fma.f64 (+.f64 b a) (-.f64 b a) #s(literal 0 binary64))
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
(* a a)
(fma.f64 a a #s(literal 0 binary64))
a
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)

localize51.0ms (0.4%)

Memory
-1.0MiB live, 114.1MiB 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))))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
✓accuracy93.9%
(-.f64 (*.f64 b b) (*.f64 a a))
✓accuracy88.6%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Samples
33.0ms256×0valid
Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 11.0ms (53.8% of total)
ival-mult: 6.0ms (29.4% of total)
ival-sub: 2.0ms (9.8% of total)
ival-pi: 1.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-11.3MiB live, 27.6MiB 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
1.0ms
b
@-inf
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
1.0ms
b
@0
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
1.0ms
b
@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
a
@0
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))

rewrite376.0ms (3.3%)

Memory
2.2MiB live, 762.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 700×*-lowering-*.f32
6 700×*-lowering-*.f64
4 958×accelerator-lowering-fma.f32
4 958×accelerator-lowering-fma.f64
2 990×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

simplify392.0ms (3.4%)

Memory
9.7MiB live, 715.8MiB allocated
Algorithm
1×egg-herbie
Rules
12 618×accelerator-lowering-fma.f32
12 618×accelerator-lowering-fma.f64
5 734×*-lowering-*.f32
5 734×*-lowering-*.f64
2 064×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911696
17681666
222951612
363831612
083411525
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* -1 (pow a 2))
(- (pow b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(pow b 2)
(+ (* -1 (pow a 2)) (pow b 2))
(+ (* -1 (pow a 2)) (pow b 2))
(+ (* -1 (pow a 2)) (pow b 2))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(/ -1 (pow a 2))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ 1 (pow b 2))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ -1 (pow a 2))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/ -1 (pow a 2))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
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(/.f64 #s(literal -1 binary64) (*.f64 a a))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 b (pow.f64 a #s(literal 6 binary64))) #s(literal 0 binary64)) (/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (pow.f64 a #s(literal 8 binary64)))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 b b #s(literal 0 binary64)))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (fma.f64 b b #s(literal 0 binary64)))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (fma.f64 b b #s(literal 0 binary64)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 b b #s(literal 0 binary64)))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (fma.f64 b b #s(literal 0 binary64)))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (fma.f64 b b #s(literal 0 binary64)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(/.f64 (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 b b #s(literal 0 binary64)))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(fma.f64 a (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 b b #s(literal 0 binary64))))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 a (*.f64 (fma.f64 a (/.f64 a (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a (*.f64 a a))) (/.f64 (fma.f64 a (/.f64 a (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 b b #s(literal 0 binary64))))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))

eval95.0ms (0.8%)

Memory
15.3MiB live, 169.4MiB allocated
Compiler

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

prune108.0ms (0.9%)

Memory
-9.6MiB live, 221.8MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New66415679
Fresh000
Picked101
Done000
Total66515680
Accuracy
100.0%
Counts
680 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (fma.f64 b b #s(literal 0 binary64))))
▶62.0%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
▶83.0%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
52.6%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (fma.f64 b b #s(literal 0 binary64)))
50.3%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
83.0%
(/.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)))
83.0%
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
87.7%
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
▶99.6%
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 b a)))))
99.5%
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
87.6%
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
▶87.6%
(*.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)))
▶50.3%
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 582 to 360 computations (38.1% saved)

simplify324.0ms (2.8%)

Memory
52.6MiB live, 549.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))
✓cost-diff640
(*.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)))
✓cost-diff1088
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
✓cost-diff384
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓cost-diff384
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(-.f64 b a)
✓cost-diff0
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓cost-diff1024
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
✓cost-diff0
(*.f64 a (*.f64 a b))
✓cost-diff0
(PI.f64)
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64))
✓cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) (+.f64 b a))
✓cost-diff320
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
✓cost-diff1408
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))
Rules
5 178×accelerator-lowering-fma.f32
5 178×accelerator-lowering-fma.f64
4 700×*-lowering-*.f32
4 700×*-lowering-*.f64
3 208×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036269
1113269
2522229
32819229
46805229
08134229
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (PI) (+ b a)) (* (/ 1/2 (- b a)) (/ (- b a) (* b a))))
(/ (PI) (+ b a))
(PI)
(+ b a)
b
a
(* (/ 1/2 (- b a)) (/ (- b a) (* b a)))
(/ 1/2 (- b a))
1/2
(- b a)
(/ (- b a) (* b a))
(* b a)
(/ (+ (* 1/2 (PI)) 0) (* a (* a b)))
(+ (* 1/2 (PI)) 0)
1/2
(PI)
0
(* a (* a b))
a
(* a b)
b
(/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- 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))
(+ b a)
(* (* (PI) (/ -1/2 (* a a))) (- (/ 1 a) (/ 1 b)))
(* (PI) (/ -1/2 (* a a)))
(PI)
(/ -1/2 (* a a))
-1/2
(* a a)
a
(- (/ 1 a) (/ 1 b))
(/ 1 a)
1
(/ 1 b)
b
(* (* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a)) (/ 1 (* 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)
(/ 1 (* b a))
1
(* b a)
Outputs
(* (/ (PI) (+ b a)) (* (/ 1/2 (- b a)) (/ (- b a) (* b a))))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 a (*.f64 b (+.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)) (/ (- b a) (* b a)))
(/.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) (* b a))
(/.f64 (-.f64 b a) (*.f64 b a))
(* b a)
(*.f64 b a)
(/ (+ (* 1/2 (PI)) 0) (* a (* a b)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 b (*.f64 a a)))
(+ (* 1/2 (PI)) 0)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
0
#s(literal 0 binary64)
(* a (* a b))
(*.f64 b (*.f64 a a))
a
(* a b)
(*.f64 b a)
b
(/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a))))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 a (*.f64 b (+.f64 b a))))
(* (- b a) (* (PI) 1/2))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)) #s(literal 0 binary64))
(- b a)
(-.f64 b a)
b
a
(* (PI) 1/2)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* (* b a) (* (- b a) (+ b a)))
(*.f64 (+.f64 b a) (*.f64 b (*.f64 a (-.f64 b a))))
(* b a)
(*.f64 b a)
(* (- b a) (+ b a))
(*.f64 (+.f64 b a) (-.f64 b a))
(+ b a)
(+.f64 b a)
(* (* (PI) (/ -1/2 (* a a))) (- (/ 1 a) (/ 1 b)))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 a a) (*.f64 b a))))
(* (PI) (/ -1/2 (* a a)))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(PI)
(PI.f64)
(/ -1/2 (* a a))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
-1/2
#s(literal -1/2 binary64)
(* a a)
(*.f64 a a)
a
(- (/ 1 a) (/ 1 b))
(/.f64 (-.f64 b a) (*.f64 b a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
b
(* (* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a)) (/ 1 (* b a)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 a (*.f64 b (+.f64 b a))))
(* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64))
(/ (* (PI) 1/2) (* (- b a) (+ b a)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 b a) (-.f64 b a)))
(* (PI) 1/2)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* (- b a) (+ b a))
(*.f64 (+.f64 b a) (-.f64 b a))
(- b a)
(-.f64 b a)
b
a
(+ b a)
(+.f64 b a)
(/ 1 (* b a))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
1
#s(literal 1 binary64)
(* b a)
(*.f64 b a)

localize122.0ms (1.1%)

Memory
-14.0MiB live, 260.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.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)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 b a))
✓accuracy99.0%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))
✓accuracy53.9%
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
✓accuracy99.2%
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
✓accuracy93.3%
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓accuracy97.2%
(*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))
✓accuracy85.7%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
✓accuracy100.0%
(*.f64 a b)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 a (*.f64 a b))
✓accuracy99.1%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
✓accuracy99.7%
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))
✓accuracy99.6%
(/.f64 (PI.f64) (+.f64 b a))
✓accuracy80.6%
(/.f64 (-.f64 b a) (*.f64 b a))
Samples
67.0ms256×0valid
Compiler

Compiled 275 to 38 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 22.0ms (49.8% of total)
ival-div: 16.0ms (36.2% of total)
ival-add: 3.0ms (6.8% of total)
ival-sub: 2.0ms (4.5% of total)
ival-pi: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series188.0ms (1.6%)

Memory
-84.6MiB live, 94.2MiB allocated
Counts
21 → 432
Calls
Call 1
Inputs
#<alt (* (/ 1/2 (- b a)) (/ (- b a) (* b a)))>
#<alt (* (/ (PI) (+ b a)) (* (/ 1/2 (- b a)) (/ (- b a) (* b a))))>
#<alt (/ (PI) (+ b a))>
#<alt (PI)>
#<alt (/ (+ (* 1/2 (PI)) 0) (* a (* a b)))>
#<alt (+ (* 1/2 (PI)) 0)>
#<alt (* a (* a b))>
#<alt (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a))))>
#<alt (* (- b a) (* (PI) 1/2))>
#<alt (- b a)>
#<alt (* (* (PI) (/ -1/2 (* a a))) (- (/ 1 a) (/ 1 b)))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (* (PI) (/ -1/2 (* a a)))>
#<alt (* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a))>
#<alt (* (* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a)) (/ 1 (* b a)))>
#<alt (/ (* (PI) 1/2) (* (- b a) (+ b a)))>
#<alt (/ (- b a) (* b a))>
#<alt (* a b)>
#<alt (* (* b a) (* (- b a) (+ b a)))>
#<alt (/ -1/2 (* a a))>
#<alt (/ 1 (* b a))>
Outputs
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* 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)>
#<alt (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))>
#<alt (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))>
#<alt (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))>
#<alt (/ (PI) b)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)>
#<alt (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)>
#<alt (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)>
#<alt (/ (PI) b)>
#<alt (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))>
#<alt (/ (PI) b)>
#<alt (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))>
#<alt (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))>
#<alt (/ (PI) a)>
#<alt (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)>
#<alt (/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)>
#<alt (/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)>
#<alt (/ (PI) a)>
#<alt (* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* -1/2 (* a (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)))))>
#<alt (* -1 a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt b>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt b>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (* -1 a)>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1/2 (/ (PI) (pow a 3)))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (* -1/2 (/ (PI) (pow a 3)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (* -1/2 (/ (PI) (pow a 3)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (* -1/2 (/ (PI) (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 (/ (* 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 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))>
#<alt (/ -1 b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (* 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 (* (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 (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<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

108 calls:

TimeVariablePointExpression
143.0ms
b
@-inf
(* (* b a) (* (- b a) (+ b a)))
5.0ms
a
@inf
(* a (* a b))
5.0ms
a
@0
(* (* b a) (* (- b a) (+ b a)))
1.0ms
b
@0
(* (/ 1/2 (- b a)) (/ (- b a) (* b a)))
1.0ms
b
@0
(/ (+ (* 1/2 (PI)) 0) (* a (* a b)))

rewrite509.0ms (4.4%)

Memory
3.8MiB live, 798.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 942×/-lowering-/.f32
4 942×/-lowering-/.f64
3 836×*-lowering-*.f32
3 836×*-lowering-*.f64
1 852×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036189
1248157
22811149
08144149
Stop Event
1×iter limit
1×node limit
Counts
21 → 1 890
Calls
Call 1
Inputs
(* (/ 1/2 (- b a)) (/ (- b a) (* b a)))
(* (/ (PI) (+ b a)) (* (/ 1/2 (- b a)) (/ (- b a) (* b a))))
(/ (PI) (+ b a))
(PI)
(/ (+ (* 1/2 (PI)) 0) (* a (* a b)))
(+ (* 1/2 (PI)) 0)
(* a (* a b))
(/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a))))
(* (- b a) (* (PI) 1/2))
(- b a)
(* (* (PI) (/ -1/2 (* a a))) (- (/ 1 a) (/ 1 b)))
(- (/ 1 a) (/ 1 b))
(* (PI) (/ -1/2 (* a a)))
(* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a))
(* (* (/ (* (PI) 1/2) (* (- b a) (+ b a))) (- b a)) (/ 1 (* b a)))
(/ (* (PI) 1/2) (* (- b a) (+ b a)))
(/ (- b a) (* b a))
(* a b)
(* (* b a) (* (- b a) (+ b a)))
(/ -1/2 (* a a))
(/ 1 (* b a))
Outputs
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 b (*.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (/.f64 (/.f64 a (*.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 (+.f64 b a) (*.f64 b a))) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (+.f64 b a) (*.f64 b a))) (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) (/.f64 (*.f64 b a) (-.f64 b a)))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (-.f64 #s(literal 0 binary64) (-.f64 b a)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (*.f64 b a) (-.f64 b a)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) (/.f64 (*.f64 b a) (-.f64 b a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (-.f64 #s(literal 0 binary64) (-.f64 b a))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (-.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a)))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (*.f64 b a) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (*.f64 b a) (-.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a (*.f64 b (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b a) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b a) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a (*.f64 b (-.f64 b a))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a)) (-.f64 b a))
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal 1 binary64)) (*.f64 a (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b a))) (*.f64 (-.f64 b a) (-.f64 #s(literal 0 binary64) (*.f64 b a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b a) b)) (*.f64 a (-.f64 b a)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) (*.f64 b a)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b a))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 b a))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b a) b)) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) a))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b a))) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b a))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) b)) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) a))
(/.f64 (*.f64 (-.f64 b a) #s(literal -1/2 binary64)) (*.f64 (*.f64 b a) (-.f64 #s(literal 0 binary64) (-.f64 b a))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (-.f64 b a)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (-.f64 #s(literal 0 binary64) (-.f64 b a))))
(/.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal 1/2 binary64)) (*.f64 a (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal -1/2 binary64)) (*.f64 a (-.f64 #s(literal 0 binary64) (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 (*.f64 a (*.f64 b (-.f64 b a)))))
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(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) a)
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) a)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) a))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(pow.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a (/.f64 #s(literal -1/2 binary64) a)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 #s(literal 0 binary64) a))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) a))
(exp.f64 (*.f64 (log.f64 (*.f64 b a)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 a)) (-.f64 #s(literal 0 binary64) (log.f64 b))))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 b)) (-.f64 #s(literal 0 binary64) (log.f64 a))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) b)
(/.f64 (/.f64 #s(literal 1 binary64) b) a)
(/.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 #s(literal 1 binary64) b))))
(/.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(pow.f64 (*.f64 b a) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 b a) (*.f64 b a)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 a (/.f64 #s(literal 1 binary64) b)) #s(literal -1 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) 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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (pow.f64 (*.f64 b a) #s(literal -1/2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1/2 binary64)))

simplify586.0ms (5.1%)

Memory
8.4MiB live, 320.4MiB allocated
Algorithm
1×egg-herbie
Rules
6 998×accelerator-lowering-fma.f32
6 998×accelerator-lowering-fma.f64
3 890×*-lowering-*.f32
3 890×*-lowering-*.f64
1 810×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05745189
117844878
263614656
086474484
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* 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)
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(/ (PI) b)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/ (PI) b)
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/ (PI) a)
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (* a (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)))))
(* -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 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 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) a))
(+ (* -1/2 (/ (* 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))
(/ -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))
(* 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 (* (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)))))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ 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 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (fma.f64 a b #s(literal 0 binary64)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (fma.f64 a b #s(literal 0 binary64))))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (fma.f64 a a #s(literal 0 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (*.f64 a (fma.f64 a a #s(literal 0 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 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 (fma.f64 a a #s(literal 0 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 a a #s(literal 0 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 b (fma.f64 b (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 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 a a #s(literal 0 binary64)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 a (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (fma.f64 b b #s(literal 0 binary64)))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))) (/.f64 (PI.f64) a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (fma.f64 b b #s(literal 0 binary64)))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (fma.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))) (/.f64 (PI.f64) a)))) (fma.f64 b b #s(literal 0 binary64)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 a (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (fma.f64 b b #s(literal 0 binary64)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (PI.f64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)) (fma.f64 b b #s(literal 0 binary64)))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.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 a (PI.f64)) (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) b)) b)) b)) (fma.f64 b b #s(literal 0 binary64)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 a (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (/.f64 a (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (fma.f64 b b #s(literal 0 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 a (fma.f64 (*.f64 a (PI.f64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
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(/.f64 #s(literal 1 binary64) (fma.f64 a b #s(literal 0 binary64)))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (fma.f64 a b #s(literal 0 binary64)))

eval600.0ms (5.2%)

Memory
14.2MiB live, 482.7MiB allocated
Compiler

Compiled 69 070 to 5 481 computations (92.1% saved)

prune421.0ms (3.6%)

Memory
-41.3MiB live, 501.6MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New2 835132 848
Fresh8210
Picked505
Done000
Total2 848152 863
Accuracy
100.0%
Counts
2 863 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
56.5%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (fma.f64 b b #s(literal 0 binary64))))
62.5%
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) a) b) a)
▶99.6%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a))
62.0%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
98.9%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)))))
98.9%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.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)))
99.6%
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))
62.4%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
▶55.3%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
62.4%
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
55.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b))
▶99.6%
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a)))
▶55.5%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
Compiler

Compiled 388 to 272 computations (29.9% saved)

simplify11.0ms (0.1%)

Memory
19.1MiB live, 19.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
✓cost-diff384
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.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 (+.f64 b a) (*.f64 b a))
✓cost-diff0
(PI.f64)
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64))
✓cost-diff64
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
✓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
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a)))
✓cost-diff384
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a))
Rules
188×*-lowering-*.f32
188×*-lowering-*.f64
156×/-lowering-/.f32
156×/-lowering-/.f64
86×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024152
161152
2140152
3251152
4265152
0265152
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (PI) (/ (/ 1/2 (* b a)) (+ b a)))
(PI)
(/ (/ 1/2 (* b a)) (+ b a))
(/ 1/2 (* b a))
1/2
(* b a)
b
a
(+ b a)
(* (PI) (/ 1/2 (* b (* a a))))
(PI)
(/ 1/2 (* b (* a a)))
1/2
(* b (* a a))
b
(* a a)
a
(/ (+ (* 1/2 (PI)) 0) (* (+ b a) (* b a)))
(+ (* 1/2 (PI)) 0)
1/2
(PI)
0
(* (+ b a) (* b a))
(+ b a)
b
a
(* b a)
(* (/ (PI) (* a a)) (/ 1/2 b))
(/ (PI) (* a a))
(PI)
(* a a)
a
(/ 1/2 b)
1/2
b
(/ (* (PI) (/ 1/2 (+ b a))) (* b a))
(* (PI) (/ 1/2 (+ b a)))
(PI)
(/ 1/2 (+ b a))
1/2
(+ b a)
b
a
(* b a)
Outputs
(* (PI) (/ (/ 1/2 (* b a)) (+ b a)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 b (+.f64 b a)))))
(PI)
(PI.f64)
(/ (/ 1/2 (* b a)) (+ b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b (+.f64 b a))))
(/ 1/2 (* b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
1/2
#s(literal 1/2 binary64)
(* b a)
(*.f64 b a)
b
a
(+ b a)
(+.f64 b a)
(* (PI) (/ 1/2 (* b (* a a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a))))
(PI)
(PI.f64)
(/ 1/2 (* b (* a a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a)))
1/2
#s(literal 1/2 binary64)
(* b (* a a))
(*.f64 a (*.f64 b a))
b
(* a a)
(*.f64 a a)
a
(/ (+ (* 1/2 (PI)) 0) (* (+ b a) (* b a)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 b (+.f64 b a)))))
(+ (* 1/2 (PI)) 0)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
0
#s(literal 0 binary64)
(* (+ b a) (* b a))
(*.f64 a (*.f64 b (+.f64 b a)))
(+ b a)
(+.f64 b a)
b
a
(* b a)
(*.f64 b a)
(* (/ (PI) (* a a)) (/ 1/2 b))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b 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
(/ (* (PI) (/ 1/2 (+ b a))) (* b a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 b (+.f64 b a)))))
(* (PI) (/ 1/2 (+ b a)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (+.f64 b a)))
(PI)
(PI.f64)
(/ 1/2 (+ b a))
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
1/2
#s(literal 1/2 binary64)
(+ b a)
(+.f64 b a)
b
a
(* b a)
(*.f64 b a)

localize99.0ms (0.9%)

Memory
-24.2MiB live, 134.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
✓accuracy99.7%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a))
✓accuracy99.4%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.0%
(/.f64 (PI.f64) (*.f64 a a))
✓accuracy87.5%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
✓accuracy100.0%
(*.f64 b a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 (+.f64 b a) (*.f64 b a))
✓accuracy99.0%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
✓accuracy99.2%
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
✓accuracy87.8%
(*.f64 b (*.f64 a a))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a))
✓accuracy99.7%
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a)))
✓accuracy99.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
Samples
56.0ms256×0valid
Compiler

Compiled 156 to 26 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 13.0ms (45.2% of total)
ival-div: 12.0ms (41.8% of total)
ival-add: 2.0ms (7% of total)
ival-pi: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
24.2MiB live, 24.2MiB allocated
Counts
17 → 336
Calls
Call 1
Inputs
#<alt (/ (/ 1/2 (* b a)) (+ b a))>
#<alt (* (PI) (/ (/ 1/2 (* b a)) (+ b a)))>
#<alt (PI)>
#<alt (/ 1/2 (* b a))>
#<alt (* (PI) (/ 1/2 (* b (* a a))))>
#<alt (/ 1/2 (* b (* a a)))>
#<alt (* b (* a a))>
#<alt (/ (+ (* 1/2 (PI)) 0) (* (+ b a) (* b a)))>
#<alt (+ (* 1/2 (PI)) 0)>
#<alt (* (+ b a) (* b a))>
#<alt (* (/ (PI) (* a a)) (/ 1/2 b))>
#<alt (/ (PI) (* a a))>
#<alt (* a a)>
#<alt (/ (* (PI) (/ 1/2 (+ b a))) (* b a))>
#<alt (* (PI) (/ 1/2 (+ b a)))>
#<alt (/ 1/2 (+ b a))>
#<alt (* b a)>
Outputs
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)>
#<alt (/ (+ (* b (- (* 1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)>
#<alt (/ (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (* 1/2 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ (* -1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (* 1/2 (/ 1 b))) (pow b 2))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) (pow b 2))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ (+ (* -1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a)>
#<alt (/ (+ (* a (- (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)>
#<alt (/ (+ (* a (- (* a (+ (* -1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (- (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (- (+ (* -1/2 (/ (pow b 2) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a)) (* 1/2 (/ 1 b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ 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) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 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 b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
Calls

84 calls:

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

rewrite562.0ms (4.9%)

Memory
-17.2MiB live, 658.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 728×/-lowering-/.f32
5 728×/-lowering-/.f64
4 636×*-lowering-*.f32
4 636×*-lowering-*.f64
2 326×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024111
1155111
21268111
08649111
Stop Event
1×iter limit
1×node limit
Counts
17 → 2 110
Calls
Call 1
Inputs
(/ (/ 1/2 (* b a)) (+ b a))
(* (PI) (/ (/ 1/2 (* b a)) (+ b a)))
(PI)
(/ 1/2 (* b a))
(* (PI) (/ 1/2 (* b (* a a))))
(/ 1/2 (* b (* a a)))
(* b (* a a))
(/ (+ (* 1/2 (PI)) 0) (* (+ b a) (* b a)))
(+ (* 1/2 (PI)) 0)
(* (+ b a) (* b a))
(* (/ (PI) (* a a)) (/ 1/2 b))
(/ (PI) (* a a))
(* a a)
(/ (* (PI) (/ 1/2 (+ b a))) (* b a))
(* (PI) (/ 1/2 (+ b a)))
(/ 1/2 (+ b a))
(* b a)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 b a))) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 b a))) (*.f64 a (-.f64 a b))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 b a))) (*.f64 a (-.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 b a))) (*.f64 b b)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) b) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 b a)))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 b a)))))
(+.f64 (*.f64 (*.f64 a (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 b a)))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 b a)))))
(+.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a))) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a)))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 b a))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 b a)))))
(fma.f64 (*.f64 a (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 b a))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 b a)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 b a))) (*.f64 b b) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 b a))) (*.f64 a (-.f64 a b))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 b a))) (*.f64 a (-.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 b a))) (*.f64 b b)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b a)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) (*.f64 b a)))
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 b a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a))
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(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) b) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))))
(+.f64 (*.f64 (*.f64 a (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))))
(+.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 b a)))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))))
(fma.f64 (*.f64 a (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (*.f64 b b) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (*.f64 a (-.f64 a b))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (*.f64 a (-.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (*.f64 b b)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (+.f64 b 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 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (fma.f64 a a (*.f64 b (-.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (-.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 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 #s(literal 0 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (-.f64 b a)))) (-.f64 #s(literal 0 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (*.f64 b a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) #s(literal -1 binary64))
(*.f64 b a)
(*.f64 b (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(*.f64 a b)
(*.f64 (*.f64 b a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 b a))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) a))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) b)

simplify475.0ms (4.1%)

Memory
30.1MiB live, 933.6MiB allocated
Algorithm
1×egg-herbie
Rules
10 416×accelerator-lowering-fma.f32
10 416×accelerator-lowering-fma.f64
4 466×*-lowering-*.f32
4 466×*-lowering-*.f64
3 412×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04634032
112983954
234893792
369123788
082023632
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
(/ 1/2 (* (pow a 2) b))
(/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ (+ (* b (- (* 1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ 1/2 (* a (pow b 2)))
(/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))
(/ (- (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (* 1/2 (/ 1 b))) (pow b 2))
(/ (- (+ (* -1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (* 1/2 (/ 1 b))) (pow b 2))
(/ 1/2 (* a (pow b 2)))
(/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))
(/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) (pow b 2))
(/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) (pow b 2))
(/ 1/2 (* a (pow b 2)))
(/ (+ (* -1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a)
(/ (+ (* a (- (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)
(/ (+ (* a (- (* a (+ (* -1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)
(/ 1/2 (* (pow a 2) b))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))
(/ (- (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (* 1/2 (/ 1 a))) (pow a 2))
(/ (- (+ (* -1/2 (/ (pow b 2) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (* 1/2 (/ 1 a))) (pow a 2))
(/ 1/2 (* (pow a 2) b))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))
(/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2))
(/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a)) (* 1/2 (/ 1 b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 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) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow 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 b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
Outputs
(/ 1/2 (* (pow a 2) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)
(/.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
(/ (+ (* b (- (* 1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)
(/.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 b (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
(/ (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 b b))
(/ (- (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (* 1/2 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (fma.f64 a (/.f64 #s(literal 1/2 binary64) b) #s(literal -1/2 binary64)) b)) (*.f64 b b))
(/ (- (+ (* -1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (* 1/2 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 (/.f64 (fma.f64 a (/.f64 #s(literal 1/2 binary64) b) #s(literal -1/2 binary64)) b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) (pow b 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (fma.f64 a (/.f64 #s(literal 1/2 binary64) b) #s(literal -1/2 binary64)) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) (pow b 2))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a a) b) a) b) #s(literal 1/2 binary64)) b)) (*.f64 b b))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a)
(/.f64 (fma.f64 a (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a)
(/ (+ (* a (- (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)
(/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a)
(/ (+ (* a (- (* a (+ (* -1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a)
(/ 1/2 (* (pow a 2) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a b)))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 a a))
(/ (- (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (* 1/2 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) a)) (*.f64 a a))
(/ (- (+ (* -1/2 (/ (pow b 2) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (* 1/2 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ 1/2 (* (pow a 2) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a b)))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a)) (* 1/2 (/ 1 b))) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 b (/.f64 b a) (-.f64 #s(literal 0 binary64) b)) a) #s(literal -1/2 binary64)) a)) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a b))))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 b (PI.f64)) (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 (*.f64 b b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a #s(literal 5 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (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) (* 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) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 a (/.f64 #s(literal 1/2 binary64) 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 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) a (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a a) b))))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a (/.f64 (PI.f64) b))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (PI.f64)))) b)) (-.f64 #s(literal 0 binary64) 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 a (*.f64 a (PI.f64))) (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 a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (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 a 2) b)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a b))))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (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) b) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal 1/2 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) a))))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a b))))
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(/.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)))
(fma.f64 b (*.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))
(+ (* 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 (*.f64 b #s(literal -1/2 binary64)) (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 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a a) b) a) b) #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 (fma.f64 a #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 a a) b) a))) b)) 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 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a a) b) a) b) #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 (fma.f64 a #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (-.f64 (/.f64 (*.f64 a a) b) a))) b)) 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)))
(fma.f64 a (*.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))
(+ (* 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 #s(literal 1/2 binary64) (/.f64 (fma.f64 b (/.f64 b a) (-.f64 #s(literal 0 binary64) b)) a) #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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (fma.f64 b (/.f64 b a) (-.f64 #s(literal 0 binary64) b))) a) (*.f64 b #s(literal -1/2 binary64))) 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 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 b (/.f64 b a) (-.f64 #s(literal 0 binary64) b)) a) #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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (fma.f64 b (/.f64 b a) (-.f64 #s(literal 0 binary64) b))) a) (*.f64 b #s(literal -1/2 binary64))) a)) a)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)

eval370.0ms (3.2%)

Memory
17.4MiB live, 647.5MiB allocated
Compiler

Compiled 52 881 to 3 532 computations (93.3% saved)

prune220.0ms (1.9%)

Memory
-8.7MiB live, 563.2MiB allocated
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New2 745102 755
Fresh7310
Picked325
Done000
Total2 755152 770
Accuracy
100.0%
Counts
2 770 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.5%
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) a) b) a)
▶99.6%
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (PI.f64)))
61.4%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b a))
62.4%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b a))
62.0%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
56.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
92.4%
(*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))))
▶92.5%
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 1/2 binary64))
▶62.4%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
✓99.6%
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a)))
55.4%
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) b))
▶94.8%
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 b a))))
62.4%
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)))
✓55.5%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
▶56.5%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
Compiler

Compiled 348 to 249 computations (28.4% saved)

simplify19.0ms (0.2%)

Memory
-0.2MiB live, 39.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 b a))))
✓cost-diff384
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 b a)))
✓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) a))
✓cost-diff0
(*.f64 b (*.f64 a (+.f64 b a)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a))))
✓cost-diff0
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 a (*.f64 b b))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
✓cost-diff0
(/.f64 (*.f64 b a) (PI.f64))
✓cost-diff0
(+.f64 b a)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
✓cost-diff768
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (PI.f64)))
Rules
324×*-lowering-*.f32
324×*-lowering-*.f64
300×/-lowering-/.f32
300×/-lowering-/.f64
204×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023157
163157
2181157
3349157
4435157
5481157
6491157
7492157
0492157
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (/ 1/2 (+ b a)) (/ (* b a) (PI)))
(/ 1/2 (+ b a))
1/2
(+ b a)
b
a
(/ (* b a) (PI))
(* b a)
(PI)
(* (PI) (/ 1/2 (* a (* b b))))
(PI)
(/ 1/2 (* a (* b b)))
1/2
(* a (* b b))
a
(* b b)
b
(* (/ (PI) (* b (* a (+ b a)))) 1/2)
(/ (PI) (* b (* a (+ b a))))
(PI)
(* b (* a (+ b a)))
b
(* a (+ b a))
a
(+ b a)
1/2
(* (/ (PI) (* b a)) (/ 1/2 a))
(/ (PI) (* b a))
(PI)
(* b a)
b
a
(/ 1/2 a)
1/2
(* (PI) (/ (/ 1/2 a) (* b (+ b a))))
(PI)
(/ (/ 1/2 a) (* b (+ b a)))
(/ 1/2 a)
1/2
a
(* b (+ b a))
b
(+ b a)
Outputs
(/ (/ 1/2 (+ b a)) (/ (* b a) (PI)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/ 1/2 (+ b a))
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
1/2
#s(literal 1/2 binary64)
(+ b a)
(+.f64 b a)
b
a
(/ (* b a) (PI))
(/.f64 (*.f64 b a) (PI.f64))
(* b a)
(*.f64 b a)
(PI)
(PI.f64)
(* (PI) (/ 1/2 (* a (* b b))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b a))))
(PI)
(PI.f64)
(/ 1/2 (* a (* b b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))
1/2
#s(literal 1/2 binary64)
(* a (* b b))
(*.f64 b (*.f64 b a))
a
(* b b)
(*.f64 b b)
b
(* (/ (PI) (* b (* a (+ b a)))) 1/2)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/ (PI) (* b (* a (+ b a))))
(/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a))))
(PI)
(PI.f64)
(* 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
#s(literal 1/2 binary64)
(* (/ (PI) (* b a)) (/ 1/2 a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a a)))
(/ (PI) (* b a))
(/.f64 (PI.f64) (*.f64 b a))
(PI)
(PI.f64)
(* b a)
(*.f64 b a)
b
a
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
(* (PI) (/ (/ 1/2 a) (* b (+ b a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
(PI)
(PI.f64)
(/ (/ 1/2 a) (* b (+ b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(* b (+ b a))
(*.f64 b (+.f64 b a))
b
(+ b a)
(+.f64 b a)

localize87.0ms (0.8%)

Memory
-7.1MiB live, 199.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(*.f64 b (+.f64 b a))
✓accuracy99.7%
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 b a))))
✓accuracy94.9%
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 b a)))
✓accuracy100.0%
(*.f64 b a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
✓accuracy99.5%
(/.f64 (PI.f64) (*.f64 b a))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(*.f64 a (+.f64 b a))
✓accuracy99.0%
(/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a))))
✓accuracy93.3%
(*.f64 b (*.f64 a (+.f64 b a)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
✓accuracy99.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
✓accuracy88.5%
(*.f64 a (*.f64 b b))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (PI.f64)))
✓accuracy99.6%
(/.f64 (*.f64 b a) (PI.f64))
Samples
45.0ms256×0valid
Compiler

Compiled 159 to 25 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 13.0ms (46.4% of total)
ival-div: 12.0ms (42.8% of total)
ival-add: 2.0ms (7.1% of total)
ival-pi: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
8.7MiB live, 48.2MiB allocated
Counts
19 → 420
Calls
Call 1
Inputs
#<alt (/ (/ 1/2 (+ b a)) (/ (* b a) (PI)))>
#<alt (/ 1/2 (+ b a))>
#<alt (+ b a)>
#<alt (/ (* b a) (PI))>
#<alt (* (PI) (/ 1/2 (* a (* b b))))>
#<alt (PI)>
#<alt (/ 1/2 (* a (* b b)))>
#<alt (* a (* b b))>
#<alt (* (/ (PI) (* b (* a (+ b a)))) 1/2)>
#<alt (/ (PI) (* b (* a (+ b a))))>
#<alt (* b (* a (+ b a)))>
#<alt (* (/ (PI) (* b a)) (/ 1/2 a))>
#<alt (/ (PI) (* b a))>
#<alt (* b a)>
#<alt (/ (/ 1/2 a) (* b (+ b a)))>
#<alt (* (PI) (/ (/ 1/2 a) (* b (+ b a))))>
#<alt (/ 1/2 a)>
#<alt (* a (+ b a))>
#<alt (* b (+ 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 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)>
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#<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)))))>
#<alt (* a b)>
#<alt (* b (+ a b))>
#<alt (* b (+ a b))>
#<alt (* b (+ a b))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (pow b 2)>
#<alt (+ (* a b) (pow b 2))>
#<alt (+ (* a b) (pow b 2))>
#<alt (+ (* a b) (pow b 2))>
#<alt (* a b)>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a b)>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
Calls

105 calls:

TimeVariablePointExpression
4.0ms
b
@inf
(/ 1/2 (* a (* b b)))
1.0ms
a
@0
(* (PI) (/ 1/2 (* a (* b b))))
1.0ms
b
@0
(* (PI) (/ 1/2 (* a (* b b))))
1.0ms
a
@inf
(/ 1/2 (* a (* b b)))
0.0ms
b
@inf
(* (PI) (/ 1/2 (* a (* b b))))

rewrite472.0ms (4.1%)

Memory
-15.8MiB live, 776.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 750×*-lowering-*.f32
5 750×*-lowering-*.f64
5 508×/-lowering-/.f32
5 508×/-lowering-/.f64
1 748×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023123
1141123
21242123
08710123
Stop Event
1×iter limit
1×node limit
Counts
19 → 1 914
Calls
Call 1
Inputs
(/ (/ 1/2 (+ b a)) (/ (* b a) (PI)))
(/ 1/2 (+ b a))
(+ b a)
(/ (* b a) (PI))
(* (PI) (/ 1/2 (* a (* b b))))
(PI)
(/ 1/2 (* a (* b b)))
(* a (* b b))
(* (/ (PI) (* b (* a (+ b a)))) 1/2)
(/ (PI) (* b (* a (+ b a))))
(* b (* a (+ b a)))
(* (/ (PI) (* b a)) (/ 1/2 a))
(/ (PI) (* b a))
(* b a)
(/ (/ 1/2 a) (* b (+ b a)))
(* (PI) (/ (/ 1/2 a) (* b (+ b a))))
(/ 1/2 a)
(* a (+ b a))
(* b (+ b a))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (PI.f64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (+.f64 b a)) (*.f64 a #s(literal -2 binary64)))) (/.f64 (PI.f64) (*.f64 (*.f64 b (+.f64 b a)) (*.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b a) (PI.f64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)))
(neg.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b (+.f64 b a)) (*.f64 a #s(literal -2 binary64)))))
(neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b a))))) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b a)))))))
(neg.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))))
(neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal -1/2 binary64) (+.f64 b a))))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 b a)) (*.f64 (+.f64 b a) #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b 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 a #s(literal -2 binary64))) (*.f64 b (+.f64 b a))))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 b a)) (*.f64 b a)))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (+.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (PI.f64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b a) (PI.f64))) (-.f64 #s(literal 0 binary64) (+.f64 b a))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))) #s(literal 1 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 b (+.f64 b a))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b (+.f64 b a)) (*.f64 a #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) a) (/.f64 (PI.f64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (/.f64 (PI.f64) b) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) a) (/.f64 b (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 b (+.f64 b a)) (*.f64 a #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) a) (-.f64 #s(literal 0 binary64) b)))
(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b a)))) (PI.f64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b a))))))
(/.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b a) (PI.f64))))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 b a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a #s(literal 2 binary64)))) (+.f64 b a))
(/.f64 (/.f64 (PI.f64) b) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (PI.f64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) (*.f64 (+.f64 b a) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b a) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (*.f64 b (+.f64 b a)) (*.f64 a #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a (+.f64 b a)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b a))))
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b a)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 b a)) (*.f64 (+.f64 b a) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)) (neg.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (+.f64 b a))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a))) (/.f64 b (PI.f64)))
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b))
(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (/.f64 a (PI.f64))))
(/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (/.f64 #s(literal -1 binary64) (PI.f64)))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 (+.f64 b a) #s(literal 2 binary64))) a)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (-.f64 #s(literal 0 binary64) (+.f64 b a)))
(/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) a)) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (/.f64 a (PI.f64)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64))) (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b a)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b a)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a)))) (-.f64 #s(literal 0 binary64) (/.f64 a (PI.f64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 b a))) (*.f64 b a))
(/.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) a))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) #s(literal 1/2 binary64)) b)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) #s(literal 1/2 binary64)) a)
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) a)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) b)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (/.f64 a (PI.f64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b a)) (PI.f64)) (-.f64 #s(literal 0 binary64) (+.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a))) (PI.f64)) b)
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 b a))) (PI.f64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (PI.f64)) a)
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a)))) a)
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a)))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 b a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (+.f64 b a))) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (+.f64 b a))) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (PI.f64))) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) a)))
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))) #s(literal 1 binary64))
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 b (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 a (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 a (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (/.f64 (cbrt.f64 (PI.f64)) (*.f64 b a)) (*.f64 (+.f64 b a) #s(literal 2 binary64))))
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(*.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 (/.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b 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 b) (*.f64 (*.f64 b 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))))
(+.f64 (*.f64 b a) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 b a))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 b a))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 b a))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (-.f64 b a))) (/.f64 (*.f64 (*.f64 b a) (*.f64 b a)) (*.f64 b (-.f64 b a))))
(fma.f64 b b (*.f64 b a))
(fma.f64 b a (*.f64 b b))
(fma.f64 a b (*.f64 b b))
(fma.f64 a (neg.f64 (-.f64 #s(literal 0 binary64) b)) (*.f64 b b))
(fma.f64 (*.f64 b a) #s(literal 1 binary64) (*.f64 b b))
(fma.f64 #s(literal 1 binary64) (*.f64 b a) (*.f64 b b))
(fma.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b) (*.f64 b b))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 b b))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) a) (*.f64 b b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 b a))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) a (*.f64 b b))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a) (*.f64 b b))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 b a))))
(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(/.f64 (*.f64 b (+.f64 b a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (*.f64 b a) (-.f64 (*.f64 b a) (*.f64 b b)))) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (-.f64 b a)) (*.f64 (*.f64 b (+.f64 b a)) (*.f64 b (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 b (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 b (*.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))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 b a))) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (*.f64 b a) (-.f64 (*.f64 b a) (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (*.f64 b a) (-.f64 (*.f64 b a) (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 b (+.f64 b a)) (*.f64 b (-.f64 b a))) (*.f64 b (-.f64 b a)))
(/.f64 (*.f64 (*.f64 b (+.f64 b a)) (*.f64 b (-.f64 b a))) (*.f64 #s(literal 1 binary64) (*.f64 b (-.f64 b a))))
(/.f64 (*.f64 b (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 b (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 b (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
(/.f64 (*.f64 b (*.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))) b) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) b) (fma.f64 a a (*.f64 b (-.f64 b a))))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) b) (*.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) b) (-.f64 b a))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) b) (*.f64 #s(literal 1 binary64) (-.f64 b a)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (*.f64 b a) (-.f64 (*.f64 b a) (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 b (+.f64 b a)) (*.f64 b (-.f64 b a)))) (neg.f64 (*.f64 b (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 b (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 b (*.f64 (+.f64 b a) (-.f64 b a)))) (-.f64 #s(literal 0 binary64) (-.f64 b a)))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) b)) (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) b)) (-.f64 #s(literal 0 binary64) (-.f64 b a)))
(/.f64 (fma.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 b a) (*.f64 b a) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 b a) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 (*.f64 b a) (*.f64 b a)) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 b a) (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) b) (-.f64 #s(literal 0 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (-.f64 b a))) b) (-.f64 #s(literal 0 binary64) (-.f64 b a)))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) b) (-.f64 a b))
(*.f64 b (+.f64 b a))
(*.f64 (+.f64 b a) b)
(*.f64 (+.f64 b a) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(*.f64 (*.f64 b (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 b (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 b (-.f64 b a)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 b a))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (+.f64 b a)))
(*.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (*.f64 b a) (-.f64 (*.f64 b a) (*.f64 b b))))))
(*.f64 (*.f64 (*.f64 b (+.f64 b a)) (*.f64 b (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b (-.f64 b a))))
(*.f64 (*.f64 b (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 b (*.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))) b) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) b) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) (+.f64 b a))
(*.f64 (/.f64 (*.f64 b (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b 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 b (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 b (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 b a))
(*.f64 (/.f64 (*.f64 b (*.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))) b) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b 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))) b) (*.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)) b) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 b a))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) b) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a))))

simplify695.0ms (6%)

Memory
15.1MiB live, 937.2MiB allocated
Algorithm
1×egg-herbie
Rules
9 960×accelerator-lowering-fma.f32
9 960×accelerator-lowering-fma.f64
4 942×*-lowering-*.f32
4 942×*-lowering-*.f64
3 474×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04784468
113814394
236104320
379324312
092024126
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
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 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)))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(/ (* a b) (PI))
(* 1/2 (/ (PI) (* 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 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (PI) (* (pow a 2) b))
(/ (+ (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))) b)
(/ (+ (* b (- (/ (* b (PI)) (pow a 4)) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) b)
(/ (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 5))) (* -1 (/ (PI) (pow a 4))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) b)
(/ (PI) (* a (pow b 2)))
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2))
(/ (- (+ (/ (PI) a) (/ (* a (PI)) (pow b 2))) (/ (PI) b)) (pow b 2))
(/ (- (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 3))) (/ (PI) a)) (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))) (pow b 2))
(/ (PI) (* a (pow b 2)))
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2))
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)) (/ (PI) a)) (pow b 2))
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (PI)) b)) (* a (PI))) b))) b)) (/ (PI) a)) (pow b 2))
(/ (PI) (* a (pow b 2)))
(/ (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) a)
(/ (+ (* a (- (/ (* a (PI)) (pow b 4)) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a)
(/ (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 5))) (* -1 (/ (PI) (pow b 4))))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a)
(/ (PI) (* (pow a 2) b))
(/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) (pow a 2))
(/ (- (+ (/ (PI) b) (/ (* b (PI)) (pow a 2))) (/ (PI) a)) (pow a 2))
(/ (- (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 3))) (/ (PI) b)) (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))) (pow a 2))
(/ (PI) (* (pow a 2) b))
(/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) (pow a 2))
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)) (/ (PI) b)) (pow a 2))
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) (/ (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) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow 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) (* 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 (* a (pow b 2)))
(/ (+ (* -1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a)
(/ (+ (* a (- (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)
(/ (+ (* a (- (* a (+ (* -1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)
(/ 1/2 (* (pow a 2) b))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))
(/ (- (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (* 1/2 (/ 1 a))) (pow a 2))
(/ (- (+ (* -1/2 (/ (pow b 2) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (* 1/2 (/ 1 a))) (pow a 2))
(/ 1/2 (* (pow a 2) b))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))
(/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2))
(/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a)) (* 1/2 (/ 1 b))) (pow a 2))
(/ 1/2 (* (pow a 2) b))
(/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ (+ (* b (- (* 1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ 1/2 (* a (pow b 2)))
(/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))
(/ (- (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (* 1/2 (/ 1 b))) (pow b 2))
(/ (- (+ (* -1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (* 1/2 (/ 1 b))) (pow b 2))
(/ 1/2 (* a (pow b 2)))
(/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))
(/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) (pow b 2))
(/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) (pow b 2))
(* 1/2 (/ (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 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* a b)
(* 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)))))
(* a b)
(* b (+ a b))
(* b (+ a b))
(* b (+ a b))
(pow b 2)
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(pow b 2)
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(pow b 2)
(+ (* a b) (pow b 2))
(+ (* a b) (pow b 2))
(+ (* a b) (pow b 2))
(* a b)
(* a (+ b (/ (pow b 2) a)))
(* a (+ b (/ (pow b 2) a)))
(* a (+ b (/ (pow b 2) a)))
(* a b)
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (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 #s(literal -1/2 binary64) (*.f64 (PI.f64) b)) (*.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 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) b) (pow.f64 a #s(literal 4 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) (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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.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) (fma.f64 (PI.f64) (/.f64 a (*.f64 b b)) (/.f64 (PI.f64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (PI.f64) b)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (*.f64 (PI.f64) (/.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 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) b)) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (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 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) 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)
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(/ (PI) (* a b))
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(/ (PI) (* a b))
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(/ (PI) (* a b))
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(* a b)
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(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a)
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(/ (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)
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(/ 1/2 (* a (pow b 2)))
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(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
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(/ (+ (* 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)
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(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.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 (PI.f64) (/.f64 b (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
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(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
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(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) a))) a)) a)) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
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(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
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(/ (+ (* 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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.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) (fma.f64 (PI.f64) (/.f64 a (*.f64 b b)) (/.f64 (PI.f64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (PI.f64) b)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
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(/ (+ (* -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 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) b)) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (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 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b))) b)) b)) (*.f64 b b))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
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(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) 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 (fma.f64 a (/.f64 b a) a))
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (fma.f64 a (/.f64 b a) a))
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (fma.f64 a (/.f64 b a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (fma.f64 a (/.f64 b a) a))
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (fma.f64 a (/.f64 b a) a))
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (fma.f64 a (/.f64 b a) a))
(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 b (fma.f64 a (/.f64 a b) a))
(* b (+ a (/ (pow a 2) b)))
(*.f64 b (fma.f64 a (/.f64 a b) a))
(* b (+ a (/ (pow a 2) b)))
(*.f64 b (fma.f64 a (/.f64 a b) a))
(* a b)
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(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(*.f64 b (fma.f64 a (/.f64 a b) a))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(*.f64 b (fma.f64 a (/.f64 a b) a))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(*.f64 b (fma.f64 a (/.f64 a b) a))
(* a b)
(*.f64 a b)
(* b (+ a b))
(*.f64 b (+.f64 a b))
(* b (+ a b))
(*.f64 b (+.f64 a b))
(* b (+ a b))
(*.f64 b (+.f64 a b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (fma.f64 a (/.f64 b b) b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (fma.f64 a (/.f64 b b) b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (fma.f64 a (/.f64 b b) b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (fma.f64 a (/.f64 b b) b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (fma.f64 a (/.f64 b b) b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (fma.f64 a (/.f64 b b) b))
(pow b 2)
(*.f64 b b)
(+ (* a b) (pow b 2))
(*.f64 b (+.f64 a b))
(+ (* a b) (pow b 2))
(*.f64 b (+.f64 a b))
(+ (* a b) (pow b 2))
(*.f64 b (+.f64 a b))
(* a b)
(*.f64 a b)
(* a (+ b (/ (pow b 2) a)))
(*.f64 a (fma.f64 b (/.f64 b a) b))
(* a (+ b (/ (pow b 2) a)))
(*.f64 a (fma.f64 b (/.f64 b a) b))
(* a (+ b (/ (pow b 2) a)))
(*.f64 a (fma.f64 b (/.f64 b a) b))
(* a b)
(*.f64 a b)
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(*.f64 a (fma.f64 b (/.f64 b a) b))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(*.f64 a (fma.f64 b (/.f64 b a) b))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(*.f64 a (fma.f64 b (/.f64 b a) b))

eval465.0ms (4%)

Memory
27.4MiB live, 804.8MiB allocated
Compiler

Compiled 48 088 to 5 339 computations (88.9% saved)

prune372.0ms (3.2%)

Memory
-4.7MiB live, 762.5MiB allocated
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New2 85172 858
Fresh268
Picked235
Done112
Total2 856172 873
Accuracy
100.0%
Counts
2 873 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.5%
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) a) b) a)
99.6%
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 b (/.f64 (PI.f64) a)))
61.4%
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 b a) (PI.f64)))
62.4%
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
55.3%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
61.4%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b a))
62.4%
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b a))
62.0%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
61.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
56.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
✓92.5%
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 1/2 binary64))
✓62.4%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
61.4%
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) b))
56.5%
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b b)))
62.4%
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)))
✓55.5%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
✓56.5%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
Compiler

Compiled 783 to 287 computations (63.3% saved)

regimes41.0ms (0.4%)

Memory
11.2MiB live, 89.7MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (fma.f64 b b #s(literal 0 binary64))))
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b b)))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b 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) a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 b a))))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) a) b) a)
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (*.f64 b a) (PI.f64)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (fma.f64 b b #s(literal 0 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 b (/.f64 (PI.f64) a)))
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) 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 b a) (*.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 b (*.f64 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 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 b a)))))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Outputs
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a)))
Calls

3 calls:

15.0ms
b
12.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
12.0ms
a
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
99.6%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes22.0ms (0.2%)

Memory
-25.2MiB live, 51.8MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (fma.f64 b b #s(literal 0 binary64))))
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b b)))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) b))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b 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) a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) b)
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 b a))))
Outputs
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
Calls

3 calls:

8.0ms
a
6.0ms
b
6.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.0%1a
99.0%1b
99.0%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes11.0ms (0.1%)

Memory
-10.1MiB live, 29.4MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (fma.f64 b b #s(literal 0 binary64))))
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 1/2 binary64))
Outputs
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 1/2 binary64))
Calls

3 calls:

3.0ms
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
99.0%2a
97.2%2b
92.5%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)

regimes6.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 a (fma.f64 b b #s(literal 0 binary64))))
Outputs
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
Calls

2 calls:

3.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
90.7%2b
95.2%2a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-18.5MiB live, 23.2MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
Outputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a)))
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
84.1%2b
64.7%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)))
88.7%2a
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes4.0ms (0%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
Outputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
Calls

2 calls:

2.0ms
a
2.0ms
b
Results
AccuracySegmentsBranch
79.4%2b
83.9%2a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(*.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))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
Calls

1 calls:

1.0ms
a
Results
AccuracySegmentsBranch
83.9%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
12.6MiB live, 12.6MiB 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 a (*.f64 b b))))
Outputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
Calls

3 calls:

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)))
1.0ms
a
Results
AccuracySegmentsBranch
56.5%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)))
56.5%1b
56.5%1a
Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch14.0ms (0.1%)

Memory
2.6MiB live, 41.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
12.0ms
-3.4085035561645184e+152
-7.925187867708556e+145
Samples
9.0ms96×0valid
Compiler

Compiled 182 to 134 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (49.4% of total)
ival-mult: 2.0ms (32.9% of total)
ival-sub: 1.0ms (16.5% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch46.0ms (0.4%)

Memory
-32.0MiB live, 45.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
-4.59155635584945e-32
-1.1741586813239509e-38
Samples
12.0ms144×0valid
Compiler

Compiled 242 to 182 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (46.5% of total)
ival-mult: 3.0ms (34.9% of total)
ival-pi: 1.0ms (11.6% of total)
ival-sub: 1.0ms (11.6% 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
36.8MiB live, 36.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
-4.59155635584945e-32
-1.1741586813239509e-38
Samples
12.0ms144×0valid
Compiler

Compiled 242 to 182 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (46.2% of total)
ival-mult: 3.0ms (34.6% of total)
ival-pi: 1.0ms (11.5% of total)
ival-sub: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Memory
-64.4MiB live, 46.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
-4.59155635584945e-32
-1.1741586813239509e-38
Samples
29.0ms144×0valid
Compiler

Compiled 242 to 182 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 20.0ms (78.3% of total)
ival-div: 4.0ms (15.7% of total)
ival-pi: 1.0ms (3.9% of total)
ival-sub: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
9.0MiB live, 47.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
-4.59155635584945e-32
-1.1741586813239509e-38
Samples
14.0ms144×0valid
Compiler

Compiled 242 to 182 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (43.8% of total)
ival-mult: 3.0ms (32.8% of total)
ival-pi: 1.0ms (10.9% of total)
ival-sub: 1.0ms (10.9% 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
25.0MiB live, 25.0MiB allocated
Algorithm
1×egg-herbie
Rules
26×*-commutative_binary64
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046144
160144
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(if (<=.f64 a #s(literal -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 1/2 binary64)))
(if (<=.f64 a #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a))))
(if (<=.f64 a #s(literal -2374940160662717/182687704666362864775460604089535377456991567872 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a))))
(if (<=.f64 a #s(literal -5746858278247083/11972621413014756705924586149611790497021399392059392 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
(if (<=.f64 a #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
Outputs
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (*.f64 (*.f64 b a) (+.f64 b a)))
(if (<=.f64 a #s(literal -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 1/2 binary64)))
(if (<=.f64 a #s(literal -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a))))))
(if (<=.f64 a #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a))))
(if (<=.f64 a #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 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 -2374940160662717/182687704666362864775460604089535377456991567872 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 b a))))
(if (<=.f64 a #s(literal -2374940160662717/182687704666362864775460604089535377456991567872 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))))
(if (<=.f64 a #s(literal -5746858278247083/11972621413014756705924586149611790497021399392059392 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
(if (<=.f64 a #s(literal -5746858278247083/11972621413014756705924586149611790497021399392059392 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b))))
(if (<=.f64 a #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))

soundness867.0ms (7.5%)

Memory
15.2MiB live, 1 035.2MiB allocated
Rules
12 618×accelerator-lowering-fma.f32
12 618×accelerator-lowering-fma.f64
10 416×accelerator-lowering-fma.f32
10 416×accelerator-lowering-fma.f64
6 700×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024111
1155111
21268111
08649111
036189
1248157
22811149
08144149
023123
1141123
21242123
08710123
02911696
17681666
222951612
363831612
083411525
04634032
112983954
234893792
369123788
082023632
01549
111349
2111249
0919049
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 472 to 283 computations (40% saved)

preprocess46.0ms (0.4%)

Memory
10.9MiB live, 126.4MiB allocated
Remove

(sort a b)

Compiler

Compiled 390 to 154 computations (60.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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