NMSE Section 6.1 mentioned, B

Time bar (total: 10.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze93.0ms (0.9%)

Memory
0.9MiB live, 252.8MiB 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)

sample1.2s (12.2%)

Memory
-7.2MiB live, 2 485.5MiB allocated
Samples
873.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 628.0ms
ival-div: 266.0ms (42.4% of total)
ival-mult: 238.0ms (37.9% of total)
ival-sub: 73.0ms (11.6% of total)
ival-pi: 33.0ms (5.3% of total)
exact: 9.0ms (1.4% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain173.0ms (1.7%)

Memory
18.8MiB live, 417.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
300-2(2.434882588704648e-76 7.388722941358489e+156)(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
130-0-(-.f64 (*.f64 b b) (*.f64 a a))
50-0-(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
00-0-(*.f64 a a)
00-0-a
00-0-(/.f64 (PI.f64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(*.f64 b b)
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 1 binary64) b)
00-0-(/.f64 #s(literal 1 binary64) a)
00-0-b
00-0-(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))n*u280
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue130
↳(*.f64 b b)overflow58
↳(*.f64 a a)overflow55
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o50
↳(*.f64 b b)overflow58
↳(*.f64 a a)overflow55
↳(-.f64 (*.f64 b b) (*.f64 a a))overflow100
Confusion
Predicted +Predicted -
+437
-3203
Precision
0.9347826086956522
Recall
0.86
Confusion?
Predicted +Predicted MaybePredicted -
+4307
-30203
Precision?
0.9347826086956522
Recall?
0.86
Freqs
test
numberfreq
0210
146
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms512×0valid
Compiler

Compiled 181 to 49 computations (72.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 16.0ms (46.8% of total)
ival-mult: 11.0ms (32.2% of total)
ival-sub: 4.0ms (11.7% of total)
ival-pi: 2.0ms (5.9% of total)
exact: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess238.0ms (2.4%)

Memory
11.6MiB live, 401.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 062×lower-fma.f64
8 062×lower-fma.f32
4 668×lower-*.f32
4 660×lower-*.f64
2 098×lower-neg.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033109
111595
241895
3208795
4606095
01521
02621
14619
210819
339318
4156917
5428017
0840517
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.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 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
Symmetry

(sort a b)

Compiler

Compiled 23 to 15 computations (34.8% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶81.8%
(*.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)

simplify228.0ms (2.3%)

Memory
-2.9MiB live, 365.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 b b) (*.f64 a a))
cost-diff320
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
cost-diff320
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
cost-diff384
(/.f64 (PI.f64) #s(literal 2 binary64))
Rules
8 062×lower-fma.f64
8 062×lower-fma.f32
4 668×lower-*.f32
4 660×lower-*.f64
2 098×lower-neg.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01577
02677
14673
210873
339372
4156971
5428071
0840571
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
#s(literal 1 binary64)
(-.f64 (*.f64 b b) (*.f64 a a))
(*.f64 b b)
b
(*.f64 a a)
a
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (PI.f64) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (-.f64 a b)))
#s(literal 1 binary64)
(-.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (+.f64 b a) (-.f64 b a))
(*.f64 b b)
b
(*.f64 a a)
a
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)

localize47.0ms (0.5%)

Memory
-12.6MiB live, 102.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.203125
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
accuracy0.7023621854878522
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
accuracy2.8515521791510294
(-.f64 (*.f64 b b) (*.f64 a a))
accuracy6.230216627139065
(*.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
25.0ms256×0valid
Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (43.6% of total)
ival-mult: 6.0ms (37.4% of total)
ival-sub: 2.0ms (12.5% of total)
ival-pi: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-7.4MiB live, 35.8MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (PI.f64) #s(literal 2 binary64)) (patch (/.f64 (PI.f64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (patch (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b b) (*.f64 a a)) (patch (-.f64 (*.f64 b b) (*.f64 a a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor 0 b) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) (taylor 0 b) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) (taylor 0 b) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 b) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor inf b) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor inf b) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) (taylor inf b) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(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)) (taylor inf b) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor -inf b) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor -inf b) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor -inf b) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf b) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor 0 a) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) (taylor 0 a) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
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#s(alt (pow b 2) (taylor 0 a) (#s(alt (-.f64 (*.f64 b b) (*.f64 a a)) (patch (-.f64 (*.f64 b b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow a 2)) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (*.f64 b b) (*.f64 a a)) (patch (-.f64 (*.f64 b b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow a 2)) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (*.f64 b b) (*.f64 a a)) (patch (-.f64 (*.f64 b b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow a 2)) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (*.f64 b b) (*.f64 a a)) (patch (-.f64 (*.f64 b b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 2)) (taylor inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 a a)) (patch (-.f64 (*.f64 b b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 a a)) (patch (-.f64 (*.f64 b b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 a a)) (patch (-.f64 (*.f64 b b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 a a)) (patch (-.f64 (*.f64 b b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 2)) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 a a)) (patch (-.f64 (*.f64 b b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 a a)) (patch (-.f64 (*.f64 b b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 a a)) (patch (-.f64 (*.f64 b b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 a a)) (patch (-.f64 (*.f64 b b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow a 2)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(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)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) #<representation binary64>) () ())) ())
Calls

24 calls:

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

simplify267.0ms (2.6%)

Memory
15.8MiB live, 521.0MiB allocated
Algorithm
1×egg-herbie
Rules
12 618×lower-fma.f64
12 618×lower-fma.f32
5 734×lower-*.f64
5 734×lower-*.f32
2 064×lower-+.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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 (PI.f64) (*.f64 (/.f64 b (*.f64 a (*.f64 a a))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (PI.f64) (*.f64 a a))) (/.f64 (*.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 a (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
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(/ (- (+ 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 (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 #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 (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(/.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(+ (* (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 (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(+ (* (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 (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(/ -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 a (neg.f64 a)))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(/ -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 a (neg.f64 a)))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))

rewrite254.0ms (2.5%)

Memory
25.4MiB live, 513.6MiB allocated
Rules
6 700×lower-*.f32
6 692×lower-*.f64
4 958×lower-fma.f64
4 958×lower-fma.f32
2 990×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553
02649
112449
2112349
0919349
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 583
Calls
Call 1
Inputs
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 b b) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(+.f64 (*.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 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (*.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 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a)))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 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 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 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 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(fma.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(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 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(fma.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(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 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) 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 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 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 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 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 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a) #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(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 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(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 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(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 b b (*.f64 a a))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
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(+.f64 (*.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))))))
(+.f64 (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))) (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))))
(+.f64 (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))))
(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 b b (*.f64 a a)))) (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))))
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))))
(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 b 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 a (*.f64 a (fma.f64 b 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)))) (*.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 b b (*.f64 a 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 a (*.f64 a (fma.f64 b b (*.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 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 b b (*.f64 a a)))) (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 a a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 a a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 b b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (fma.f64 b (neg.f64 b) (*.f64 a a)))
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) (*.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 b (*.f64 a a)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))) (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))))
(/.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b (neg.f64 b) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) (+.f64 (neg.f64 b) a))
(pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64)))
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b 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)))))
(*.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))))
(*.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 b b (*.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)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a 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)))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 b b (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (fma.f64 b b (*.f64 a a)) #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)))

eval179.0ms (1.8%)

Memory
20.2MiB live, 195.0MiB allocated
Compiler

Compiled 22 466 to 2 045 computations (90.9% saved)

prune134.0ms (1.3%)

Memory
13.1MiB live, 322.4MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New66019679
Fresh000
Picked101
Done000
Total66119680
Accuracy
100.0%
Counts
680 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(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 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
88.0%
(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 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
90.0%
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
89.6%
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (+.f64 b a)))
▶84.0%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
78.8%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 b (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
▶83.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (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)))
35.7%
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))))
84.4%
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
99.5%
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
85.0%
(*.f64 (-.f64 b a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
89.6%
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
83.9%
(*.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))))
▶53.5%
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.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)))
48.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)))
53.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)))
56.4%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
▶65.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
Compiler

Compiled 840 to 494 computations (41.2% saved)

simplify199.0ms (2%)

Memory
-27.4MiB live, 336.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 b a) (+.f64 b a))
cost-diff0
(*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
cost-diff1024
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
cost-diff0
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))))
cost-diff0
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.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-diff384
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
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
(PI.f64)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
cost-diff0
(-.f64 b a)
cost-diff0
(/.f64 (-.f64 b a) (*.f64 b a))
cost-diff384
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a))
cost-diff1408
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
Rules
6 862×lower-*.f32
6 832×lower-*.f64
5 926×lower-fma.f64
5 926×lower-fma.f32
3 400×lower-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048342
076340
1171334
2718296
34083294
08480294
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a))
(/.f64 (-.f64 b a) (*.f64 b a))
(-.f64 b a)
b
a
(*.f64 b a)
(+.f64 b a)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(*.f64 a (*.f64 a b))
a
(*.f64 a b)
b
(/.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 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 b a)
b
a
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))
(*.f64 b a)
(*.f64 (-.f64 b a) (+.f64 b a))
(+.f64 b a)
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.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)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(PI.f64)
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
#s(literal -1/2 binary64)
(*.f64 a a)
a
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
b
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
(*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))
(*.f64 (-.f64 b a) (+.f64 b a))
(-.f64 b a)
b
a
(+.f64 b a)
(*.f64 b a)
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))
#s(literal 1/2 binary64)
(*.f64 (PI.f64) (-.f64 b a))
(PI.f64)
Outputs
(*.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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a))
(/.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (-.f64 b a) (*.f64 b a))
(-.f64 b a)
b
a
(*.f64 b a)
(+.f64 b a)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))
(/.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
(*.f64 a (*.f64 a b))
(*.f64 b (*.f64 a a))
a
(*.f64 a b)
(*.f64 b a)
b
(/.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) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(-.f64 b a)
b
a
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))
(*.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a))))
(*.f64 b a)
(*.f64 (-.f64 b a) (+.f64 b a))
(+.f64 b a)
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.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 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) (/.f64 (-.f64 b a) (*.f64 b a)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))
(PI.f64)
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
#s(literal -1/2 binary64)
(*.f64 a a)
a
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (-.f64 b a) (*.f64 b a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
b
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
(/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))
(*.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a))))
(*.f64 (-.f64 b a) (+.f64 b a))
(-.f64 b a)
b
a
(+.f64 b a)
(*.f64 b a)
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))
(*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (PI.f64) (-.f64 b a))
(*.f64 (-.f64 b a) (PI.f64))
(PI.f64)

localize136.0ms (1.3%)

Memory
-6.0MiB live, 191.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.234375
(*.f64 (PI.f64) (-.f64 b a))
accuracy0.3544386809656115
(*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))
accuracy0.6340662014467467
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
accuracy9.498745612368324
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
accuracy0.21484375
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
accuracy0.4175067591323412
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
accuracy6.230216627139065
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.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)))
accuracy29.528444900302492
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))))
accuracy0
(PI.f64)
accuracy0.234375
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy0.3544386809656115
(*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))
accuracy9.937990759038202
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
accuracy0
(PI.f64)
accuracy0.16015625
(*.f64 a (*.f64 a b))
accuracy0.7467236402159797
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
accuracy21.587391804507114
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
accuracy0.15625
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
accuracy0.2265625
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a))
accuracy0.25390625
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))
accuracy13.78956428604982
(/.f64 (-.f64 b a) (*.f64 b a))
Samples
78.0ms256×0valid
Compiler

Compiled 318 to 42 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 31.0ms (55.1% of total)
ival-div: 19.0ms (33.8% of total)
ival-sub: 4.0ms (7.1% of total)
ival-pi: 1.0ms (1.8% of total)
ival-add: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series51.0ms (0.5%)

Memory
19.3MiB live, 91.2MiB allocated
Counts
24 → 480
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 b a) (*.f64 b a)) (patch (/.f64 (-.f64 b a) (*.f64 b a)) #<representation binary64>) () ())
#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))) (patch #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (PI.f64)) (patch (*.f64 #s(literal 1/2 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) (patch (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) #s(literal 1/2 binary64)) (patch (*.f64 (PI.f64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (patch (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.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))) (patch (*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.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))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))) (patch #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (patch (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (patch (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (patch (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 b a) (+.f64 b a)) (patch (*.f64 (-.f64 b a) (+.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) (patch (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor 0 b) (#s(alt (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) (taylor 0 b) (#s(alt (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) (taylor 0 b) (#s(alt (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 b) (#s(alt (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor inf b) (#s(alt (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor inf b) (#s(alt (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) (taylor inf b) (#s(alt (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(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)) (taylor inf b) (#s(alt (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor -inf b) (#s(alt (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) (taylor inf a) (#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b))))) (taylor -inf b) (#s(alt (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) (patch (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) (patch (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) (patch (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow a 2)) (taylor 0 a) (#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow a 2)) (taylor 0 a) (#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow a 2)) (taylor 0 a) (#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow a 2)) (taylor 0 a) (#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
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#s(alt (/ -1/2 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (PI))) (taylor 0 b) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* a (PI))) (* b (PI))) (taylor 0 b) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a (PI))) (* b (PI))) (taylor 0 b) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* b (PI)) (taylor inf b) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (PI) (* -1 (/ (* a (PI)) b)))) (taylor inf b) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (PI) (* -1 (/ (* a (PI)) b)))) (taylor inf b) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (PI) (* -1 (/ (* a (PI)) b)))) (taylor inf b) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* b (PI)) (taylor -inf b) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) (taylor -inf b) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) (taylor -inf b) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* b (PI)) (taylor 0 a) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a (PI))) (* b (PI))) (taylor 0 a) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a (PI))) (* b (PI))) (taylor 0 a) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a (PI))) (* b (PI))) (taylor 0 a) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (PI))) (taylor inf a) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (PI)) (/ (* b (PI)) a))) (taylor inf a) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (PI)) (/ (* b (PI)) a))) (taylor inf a) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (PI)) (/ (* b (PI)) a))) (taylor inf a) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (PI))) (taylor -inf a) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) (taylor -inf a) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) (taylor -inf a) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) (taylor -inf a) (#s(alt (*.f64 (PI.f64) (-.f64 b a)) (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
Calls

120 calls:

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

simplify328.0ms (3.3%)

Memory
10.5MiB live, 419.8MiB allocated
Algorithm
1×egg-herbie
Rules
9 924×lower-fma.f64
9 924×lower-fma.f32
5 822×lower-*.f64
5 822×lower-*.f32
2 872×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06146518
118796128
258245984
086115731
Stop Event
1×iter limit
1×node limit
Counts
480 → 477
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)
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(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (* (pow a 3) b))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(* a (pow b 3))
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* a (pow b 3))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* a (pow b 3))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(* -1 (* (pow a 3) b))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* -1 (* (pow a 3) b))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* -1 (pow a 2))
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(pow b 2)
(+ (* a (+ b (* -1 b))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(* -1 (pow a 2))
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* -1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (* b (PI)) (pow a 2))))
(+ (* -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 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (PI)) (pow a 4))))))))
(* 1/2 (/ (PI) b))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* a (PI)) b)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* a (PI)) b)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 3) (PI)) (pow b 3)))))) 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 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2))))
(+ (* 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 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4))))))))
(* -1/2 (/ (PI) a))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a)
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3)))))) 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))
(* (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 (* (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 (PI)))
(+ (* -1 (* a (PI))) (* b (PI)))
(+ (* -1 (* a (PI))) (* b (PI)))
(+ (* -1 (* a (PI))) (* b (PI)))
(* b (PI))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(* b (PI))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
(+ (* -1 (* a (PI))) (* b (PI)))
(+ (* -1 (* a (PI))) (* b (PI)))
(* -1 (* a (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(* -1 (* a (PI)))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (*.f64 a (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) b) (*.f64 (*.f64 a a) (*.f64 a a))) (/.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) (*.f64 (*.f64 a a) (*.f64 a a))) (/.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 (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 a (*.f64 b b)) (/.f64 (PI.f64) a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (PI.f64) b)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 a (*.f64 b b)) (/.f64 (PI.f64) a)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64))) (*.f64 b (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 a (fma.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 b (*.f64 a a)) (/.f64 (PI.f64) b)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a a))) (/.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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (PI.f64)) a)) a) (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) a)) (*.f64 a a))
(/ -1 (* a b))
(/.f64 #s(literal -1 binary64) (*.f64 a b))
(/ (- (* 2 (/ b (pow a 2))) (/ 1 a)) b)
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a a)) (/.f64 #s(literal -1 binary64) a)) b)
(/ (- (* b (+ (* -2 (/ b (pow a 3))) (* 2 (/ 1 (pow a 2))))) (/ 1 a)) b)
(fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a (*.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a b)))
(/ (- (* b (+ (* b (- (* 2 (/ b (pow a 4))) (* 2 (/ 1 (pow a 3))))) (* 2 (/ 1 (pow a 2))))) (/ 1 a)) b)
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(*.f64 a (*.f64 b (*.f64 b b)))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(*.f64 (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a (neg.f64 a)) (/.f64 a (*.f64 b b)) a))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(*.f64 (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a (neg.f64 a)) (/.f64 a (*.f64 b b)) a))
(* a (pow b 3))
(*.f64 a (*.f64 b (*.f64 b b)))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(*.f64 a (*.f64 b (*.f64 b b)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(*.f64 b (*.f64 a (*.f64 (+.f64 a b) (-.f64 b a))))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(*.f64 b (*.f64 a (*.f64 (+.f64 a b) (-.f64 b a))))
(* -1 (* (pow a 3) b))
(*.f64 a (*.f64 a (*.f64 a (neg.f64 b))))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(*.f64 a (*.f64 a (*.f64 a (neg.f64 b))))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(*.f64 a (*.f64 (*.f64 a a) (*.f64 b (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(*.f64 a (*.f64 (*.f64 a a) (*.f64 b (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(* -1 (* (pow a 3) b))
(*.f64 a (*.f64 a (*.f64 a (neg.f64 b))))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(*.f64 a (*.f64 a (*.f64 a (neg.f64 b))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(*.f64 a (*.f64 (*.f64 a a) (*.f64 b (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(*.f64 a (*.f64 (*.f64 a a) (*.f64 b (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(* -1 (* a (PI)))
(*.f64 (PI.f64) (neg.f64 a))
(+ (* -1 (* a (PI))) (* b (PI)))
(*.f64 (PI.f64) (-.f64 b a))
(+ (* -1 (* a (PI))) (* b (PI)))
(*.f64 (PI.f64) (-.f64 b a))
(+ (* -1 (* a (PI))) (* b (PI)))
(*.f64 (PI.f64) (-.f64 b a))
(* b (PI))
(*.f64 (PI.f64) b)
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(*.f64 b (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 a b))))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(*.f64 b (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 a b))))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(*.f64 b (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 a b))))
(* b (PI))
(*.f64 (PI.f64) b)
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(*.f64 b (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 a b))))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(*.f64 b (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 a b))))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(*.f64 b (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 a b))))
(* b (PI))
(*.f64 (PI.f64) b)
(+ (* -1 (* a (PI))) (* b (PI)))
(*.f64 (PI.f64) (-.f64 b a))
(+ (* -1 (* a (PI))) (* b (PI)))
(*.f64 (PI.f64) (-.f64 b a))
(+ (* -1 (* a (PI))) (* b (PI)))
(*.f64 (PI.f64) (-.f64 b a))
(* -1 (* a (PI)))
(*.f64 (PI.f64) (neg.f64 a))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(*.f64 a (fma.f64 (PI.f64) (/.f64 b a) (neg.f64 (PI.f64))))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(*.f64 a (fma.f64 (PI.f64) (/.f64 b a) (neg.f64 (PI.f64))))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(*.f64 a (fma.f64 (PI.f64) (/.f64 b a) (neg.f64 (PI.f64))))
(* -1 (* a (PI)))
(*.f64 (PI.f64) (neg.f64 a))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(*.f64 a (fma.f64 (PI.f64) (/.f64 b a) (neg.f64 (PI.f64))))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(*.f64 a (fma.f64 (PI.f64) (/.f64 b a) (neg.f64 (PI.f64))))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(*.f64 a (fma.f64 (PI.f64) (/.f64 b a) (neg.f64 (PI.f64))))

rewrite471.0ms (4.7%)

Memory
-10.4MiB live, 572.3MiB allocated
Rules
5 576×lower-/.f32
5 556×lower-/.f64
4 040×lower-*.f32
4 010×lower-*.f64
1 844×frac-2neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048268
076260
1332228
23052228
08673228
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 2 186
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a))
(/.f64 (-.f64 b a) (*.f64 b a))
(-.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
(/.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 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.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)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
(*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))
(*.f64 (-.f64 b a) (+.f64 b a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))
(*.f64 a (*.f64 a b))
(*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(*.f64 (PI.f64) (-.f64 b a))
Outputs
(+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal -1 binary64) b)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))))) (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))))
(-.f64 (/.f64 (/.f64 b (*.f64 b a)) (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))) (/.f64 (/.f64 a (*.f64 b a)) (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))))
(-.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 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))) (/.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 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 (+.f64 b a) (*.f64 b a))) (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (+.f64 b a) (*.f64 b a))) (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))))
(-.f64 (/.f64 (/.f64 b (*.f64 (*.f64 b a) (+.f64 b a))) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (/.f64 a (*.f64 (*.f64 b a) (+.f64 b a))) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 b (*.f64 b a)) (+.f64 b a)) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (/.f64 (/.f64 a (*.f64 b a)) (+.f64 b a)) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))) (neg.f64 (-.f64 b a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))) (neg.f64 (-.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (neg.f64 (-.f64 b a)))) (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (neg.f64 (-.f64 b a)))))
(fma.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal -1 binary64) b)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))))))
(neg.f64 (/.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 (-.f64 b a) (*.f64 b a)) (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (PI.f64) (*.f64 (*.f64 b (/.f64 a (-.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b (/.f64 a (-.f64 b a))) (*.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) (*.f64 b (/.f64 a (-.f64 b a))))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (+.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))) (neg.f64 (-.f64 b a)))))
(/.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 b (*.f64 a (-.f64 b a))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 (*.f64 b a) (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 b (/.f64 a (-.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 b a)))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b a) (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (+.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b a) (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 b (*.f64 a (-.f64 b a)))))))
(/.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))) (neg.f64 (-.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (*.f64 b (/.f64 a (-.f64 b a))) (*.f64 (-.f64 b a) (+.f64 b a)))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (*.f64 (+.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))) (-.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 b (/.f64 a (-.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a)))))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (/.f64 (-.f64 b a) (*.f64 b a))) (neg.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (+.f64 b a))) (-.f64 b a))
(/.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 b (/.f64 a (-.f64 b a))) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 b (*.f64 a (-.f64 b a)))) (+.f64 b a))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (PI.f64))))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a)))))
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(*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a)))
(*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))
(*.f64 (+.f64 b a) (*.f64 b (*.f64 a (-.f64 b a))))
(*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))
(*.f64 (*.f64 b (*.f64 a (-.f64 b a))) (+.f64 b a))
(*.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b)) a)
(*.f64 (*.f64 a (*.f64 (-.f64 b a) (+.f64 b a))) b)
(*.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (-.f64 b a))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (neg.f64 a)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 a (neg.f64 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 -1/2 binary64) (*.f64 a a))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 a (neg.f64 a))))
(/.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)) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) a))) (neg.f64 (neg.f64 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 (neg.f64 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a 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))
(+.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) (neg.f64 a)))
(+.f64 (*.f64 b (PI.f64)) (*.f64 (neg.f64 a) (PI.f64)))
(fma.f64 b (PI.f64) (*.f64 (neg.f64 a) (PI.f64)))
(fma.f64 (PI.f64) b (*.f64 (PI.f64) (neg.f64 a)))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (PI.f64)) (+.f64 b a))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)) (PI.f64)) (fma.f64 b b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b a))
(/.f64 (*.f64 (PI.f64) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (PI.f64))) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)) (PI.f64))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))
(*.f64 (-.f64 b a) (PI.f64))
(*.f64 (PI.f64) (-.f64 b a))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (-.f64 b a)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 b a)))
(*.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (-.f64 b a) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (-.f64 b a) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

eval578.0ms (5.7%)

Memory
27.8MiB live, 1 000.7MiB allocated
Compiler

Compiled 89 543 to 6 715 computations (92.5% saved)

prune491.0ms (4.9%)

Memory
-6.9MiB live, 1 165.0MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New3 369203 389
Fresh14014
Picked415
Done000
Total3 387213 408
Accuracy
100.0%
Counts
3 408 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 b a)) (*.f64 (*.f64 b a) (+.f64 b a)))
47.3%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) #s(approx (* (- b a) (+ b a)) (*.f64 b b))))
44.4%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(approx (* (* b a) (* (- b a) (+ b a))) (*.f64 a (*.f64 b (*.f64 b b)))))
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a)))
▶65.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64))))
56.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (PI.f64)))))
85.1%
(*.f64 (/.f64 (/.f64 #s(approx (- b a) (-.f64 (/.f64 (*.f64 a b) a) a)) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
▶99.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
69.3%
(*.f64 (/.f64 #s(approx (/ (- b a) (* b a)) (/.f64 #s(literal 1 binary64) a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
▶99.6%
(*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
65.5%
(*.f64 #s(approx (/ (/ (- b a) (* b a)) (+ b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
48.0%
#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)))
56.4%
#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
66.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a))
62.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
62.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))))
✓65.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
▶66.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
62.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b)))
▶62.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
Compiler

Compiled 638 to 420 computations (34.2% saved)

simplify261.0ms (2.6%)

Memory
-10.3MiB live, 391.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 b a)
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 b a))
cost-diff320
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a))
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b)))
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64))
cost-diff0
#s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64))))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) a)
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
cost-diff384
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b 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
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
cost-diff0
(-.f64 b a)
cost-diff320
(*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))
cost-diff384
(*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
Rules
5 558×lower-*.f32
5 534×lower-*.f64
4 582×lower-fma.f64
4 582×lower-fma.f32
2 958×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052316
077316
1166312
2572306
32652290
45923290
08562290
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)))
(-.f64 b a)
b
a
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
#s(literal 1 binary64)
(*.f64 b a)
(+.f64 b a)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
#s(literal 1/2 binary64)
(*.f64 b (*.f64 a a))
b
(*.f64 a a)
a
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(/.f64 (PI.f64) a)
(PI.f64)
a
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
#s(literal 1/2 binary64)
(*.f64 b a)
b
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64))))
#s(literal 1 binary64)
#s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64))
(*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b)))
#s(literal 2 binary64)
(*.f64 a (*.f64 a b))
a
(*.f64 a b)
b
(PI.f64)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a))
(/.f64 #s(literal 1 binary64) (+.f64 b a))
#s(literal 1 binary64)
(+.f64 b a)
b
a
(*.f64 b a)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
Outputs
(*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a)))))
(*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)))
(/.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a))))
(-.f64 b a)
b
a
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
#s(literal 1 binary64)
(*.f64 b a)
(+.f64 b a)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 a (*.f64 b (*.f64 a #s(literal 2 binary64))))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(/.f64 (PI.f64) (*.f64 a (*.f64 b (*.f64 a #s(literal 2 binary64)))))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
#s(literal 1/2 binary64)
(*.f64 b (*.f64 a a))
b
(*.f64 a a)
a
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 a (*.f64 b (*.f64 a #s(literal 2 binary64))))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b (*.f64 a #s(literal 2 binary64)))))
(/.f64 (PI.f64) a)
(PI.f64)
a
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
#s(literal 1/2 binary64)
(*.f64 b a)
b
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 a (*.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 2 binary64)))))
#s(literal 1 binary64)
#s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64)))
#s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 a (*.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64))
(*.f64 a (*.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b)))
(*.f64 a (*.f64 b (*.f64 a #s(literal 2 binary64))))
#s(literal 2 binary64)
(*.f64 a (*.f64 a b))
(*.f64 b (*.f64 a a))
a
(*.f64 a b)
(*.f64 b a)
b
(PI.f64)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (+.f64 b a))
#s(literal 1 binary64)
(+.f64 b a)
b
a
(*.f64 b a)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)

localize141.0ms (1.4%)

Memory
14.2MiB live, 330.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(PI.f64)
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (+.f64 b a))
accuracy0.18359375
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a))
accuracy0.19140625
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy0.1484375
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64))
accuracy0.16015625
(*.f64 a (*.f64 a b))
accuracy0.6340662014467467
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64))))
accuracy22.929297926151975
#s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64)))
accuracy0.1640625
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
accuracy0.26171875
(/.f64 (PI.f64) a)
accuracy0.6107820089776874
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
accuracy21.587391804507114
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
accuracy0.18359375
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
accuracy0.679762556565761
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
accuracy5.258799066478859
(*.f64 b (*.f64 a a))
accuracy21.587391804507114
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
accuracy0.15625
(*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
accuracy0.25390625
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))
accuracy0.6264055878384784
(/.f64 #s(literal 1 binary64) (*.f64 b a))
accuracy14.751200682190355
(*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)))
Samples
88.0ms256×0valid
Compiler

Compiled 278 to 46 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-div: 29.0ms (43.9% of total)
ival-mult: 28.0ms (42.4% of total)
ival-sub: 6.0ms (9.1% of total)
ival-pi: 1.0ms (1.5% of total)
ival-add: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series52.0ms (0.5%)

Memory
0.5MiB live, 83.7MiB allocated
Counts
24 → 540
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (patch (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) #<representation binary64>) () ())
#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))) (patch #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (patch (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (patch (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) (patch #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) a) (patch (/.f64 (PI.f64) a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64))) (patch #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64)) (patch (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (patch (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 b a)) (patch (/.f64 #s(literal 1 binary64) (+.f64 b a)) #<representation binary64>) () ())
#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1 binary64) (*.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor 0 b) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) (taylor 0 b) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) (taylor 0 b) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 b) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor inf b) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor inf b) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) (taylor inf b) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(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)) (taylor inf b) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor -inf b) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor -inf b) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor -inf b) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf b) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor 0 a) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) (taylor 0 a) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) (taylor 0 a) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 a) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor inf a) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor inf a) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) (taylor inf a) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(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)) (taylor inf a) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) (patch (*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ (PI) a)) (taylor inf a) (#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a) (taylor inf a) (#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) (taylor inf a) (#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3)))))) a) (taylor inf a) (#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (PI) a)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* -1/2 (/ (* (pow b 2) (PI)) a))) a)) (* 1/2 (PI))) a)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf b) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf b) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf b) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf b) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 a) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 a) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 a) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 a) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 a) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 a) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 a) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 a) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf b) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf b) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf b) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf b) (#s(alt (*.f64 a (*.f64 a b)) (patch (*.f64 a (*.f64 a b)) #<representation binary64>) () ())) ())
Calls

135 calls:

TimeVariablePointExpression
15.0ms
b
@inf
(/ (/ 1 (+ b a)) (* b a))
4.0ms
a
@inf
(/ (/ 1 (* b a)) (+ b a))
1.0ms
b
@inf
(/ 1/2 (* b (* a a)))
1.0ms
a
@0
(/ (* 2 (* a (* a b))) (PI))
0.0ms
b
@0
(/ (* 2 (* a (* a b))) (PI))

simplify288.0ms (2.9%)

Memory
-16.7MiB live, 565.0MiB allocated
Algorithm
1×egg-herbie
Rules
11 664×lower-fma.f64
11 664×lower-fma.f32
4 958×lower-*.f64
4 958×lower-*.f32
4 100×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05776597
116606451
245176125
086515951
Stop Event
1×iter limit
1×node limit
Counts
540 → 531
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 (* (pow a 2) b))
(/ (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2))) b)
(/ (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) b)
(/ (+ (* b (- (* b (+ (* -1 (/ b (pow a 5))) (/ 1 (pow a 4)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) b)
(/ 1 (* a (pow b 2)))
(/ (- (/ 1 a) (/ 1 b)) (pow b 2))
(/ (- (+ (/ 1 a) (/ a (pow b 2))) (/ 1 b)) (pow b 2))
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ 1 b))) (pow b 2))
(/ 1 (* a (pow b 2)))
(/ (- (/ 1 a) (/ 1 b)) (pow b 2))
(/ (+ (* -1 (/ (+ 1 (* -1 (/ a b))) b)) (/ 1 a)) (pow b 2))
(/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))) b)) (/ 1 a)) (pow b 2))
(/ 1 (* a (pow b 2)))
(/ (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))) a)
(/ (+ (* a (- (/ a (pow b 4)) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 5))) (/ 1 (pow b 4)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a)
(/ 1 (* (pow a 2) b))
(/ (- (/ 1 b) (/ 1 a)) (pow a 2))
(/ (- (+ (/ 1 b) (/ b (pow a 2))) (/ 1 a)) (pow a 2))
(/ (- (+ (* -1 (/ (pow b 2) (pow a 3))) (/ 1 b)) (+ (* -1 (/ b (pow a 2))) (/ 1 a))) (pow a 2))
(/ 1 (* (pow a 2) b))
(/ (- (/ 1 b) (/ 1 a)) (pow a 2))
(/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (/ 1 b)) (pow a 2))
(/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (/ 1 b)) (pow a 2))
(/ -1 (* a b))
(/ (- (* 2 (/ b (pow a 2))) (/ 1 a)) b)
(/ (- (* b (+ (* -2 (/ b (pow a 3))) (* 2 (/ 1 (pow a 2))))) (/ 1 a)) b)
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(* -1 (/ (- (/ a b) 1) b))
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
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(/ 1 b)
(+ (* -1 (/ a (pow b 2))) (/ 1 b))
(+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))
(+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))
(/ 1 a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)
(/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)
(/ 1 a)
(* -1 (/ (- (/ b a) 1) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(* -1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (* b (PI)) (pow a 2))))
(+ (* -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 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (PI)) (pow a 4))))))))
(* 1/2 (/ (PI) b))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* a (PI)) b)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* a (PI)) b)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 3) (PI)) (pow b 3)))))) 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 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2))))
(+ (* 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 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4))))))))
(* -1/2 (/ (PI) a))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a)
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3)))))) 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))
(* (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 (* 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))
(* (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)
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 b b) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) a) b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) a (/.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) b)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (PI.f64) a) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (PI.f64) (*.f64 b b))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.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) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) a)) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.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 (PI.f64) (/.f64 (*.f64 b b) a)))) a)) a)) (*.f64 a a))
(/ 1 (* (pow a 2) b))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a b)))
(/ (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2))) b)
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) a) b)
(/ (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) b)
(/.f64 (fma.f64 b (/.f64 b (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) a)) b)
(/ (+ (* b (- (* b (+ (* -1 (/ b (pow a 5))) (/ 1 (pow a 4)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) b)
(/.f64 (fma.f64 b (fma.f64 (/.f64 b (pow.f64 a #s(literal 5 binary64))) (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 4 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) a)) b)
(/ 1 (* a (pow b 2)))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b b)))
(/ (- (/ 1 a) (/ 1 b)) (pow b 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (*.f64 b b))
(/ (- (+ (/ 1 a) (/ a (pow b 2))) (/ 1 b)) (pow b 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 a b)) b)) (*.f64 b b))
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ 1 b))) (pow b 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (fma.f64 a (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 a b)) b) #s(literal 1 binary64)) b)) (*.f64 b b))
(/ 1 (* a (pow b 2)))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b b)))
(/ (- (/ 1 a) (/ 1 b)) (pow b 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ 1 (* -1 (/ a b))) b)) (/ 1 a)) (pow b 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 a b)) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))) b)) (/ 1 a)) (pow b 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (fma.f64 a (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 a b)) b) #s(literal 1 binary64)) b)) (*.f64 b b))
(/ 1 (* a (pow b 2)))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b b)))
(/ (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))) a)
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b) b) a)
(/ (+ (* a (- (/ a (pow b 4)) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a)
(/.f64 (fma.f64 a (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b) b)) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 5))) (/ 1 (pow b 4)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a)
(/.f64 (fma.f64 a (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) (neg.f64 a) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b) b)) a)
(/ 1 (* (pow a 2) b))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a b)))
(/ (- (/ 1 b) (/ 1 a)) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) (*.f64 a a))
(/ (- (+ (/ 1 b) (/ b (pow a 2))) (/ 1 a)) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) a)) (*.f64 a a))
(/ (- (+ (* -1 (/ (pow b 2) (pow a 3))) (/ 1 b)) (+ (* -1 (/ b (pow a 2))) (/ 1 a))) (pow a 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (fma.f64 (/.f64 b a) (+.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)) a)) (*.f64 a a))
(/ 1 (* (pow a 2) b))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a b)))
(/ (- (/ 1 b) (/ 1 a)) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (/ 1 b)) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (/ 1 b)) (pow a 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (fma.f64 (/.f64 b a) (+.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)) a)) (*.f64 a a))
(/ -1 (* a b))
(/.f64 #s(literal -1 binary64) (*.f64 a b))
(/ (- (* 2 (/ b (pow a 2))) (/ 1 a)) b)
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a a)) (/.f64 #s(literal -1 binary64) a)) b)
(/ (- (* b (+ (* -2 (/ b (pow a 3))) (* 2 (/ 1 (pow a 2))))) (/ 1 a)) b)
(fma.f64 (fma.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a b)))
(/ (- (* b (+ (* b (- (* 2 (/ b (pow a 4))) (* 2 (/ 1 (pow a 3))))) (* 2 (/ 1 (pow a 2))))) (/ 1 a)) b)
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 b (/.f64 b (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) a))) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a b)))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ (- (/ 1 a) (* 2 (/ 1 b))) b)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (/.f64 #s(literal -2 binary64) (*.f64 b b)))
(/ (- (+ (* 2 (/ a (pow b 2))) (/ 1 a)) (* 2 (/ 1 b))) b)
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 a b)) b) (/.f64 #s(literal 1 binary64) a)) b)
(/ (- (+ (* -2 (/ (pow a 2) (pow b 3))) (/ 1 a)) (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 b)))) b)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 a (*.f64 b b)) (+.f64 #s(literal -1 binary64) (/.f64 a b))) (/.f64 #s(literal -2 binary64) b))) b)
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(* -1 (/ (- (* 2 (/ 1 b)) (/ 1 a)) b))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (/.f64 #s(literal -2 binary64) (*.f64 b b)))
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(fma.f64 b (-.f64 (/.f64 b (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* -1 (/ a b))) b)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)
(/.f64 (fma.f64 a (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 a b)) b) #s(literal 1 binary64)) b)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 a (fma.f64 a (/.f64 a b) (neg.f64 a))) b) a) b)) (neg.f64 b))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (/ a b) 1) b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(/.f64 (fma.f64 a (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 a b)) b) #s(literal 1 binary64)) b)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 a (fma.f64 a (/.f64 a b) (neg.f64 a))) b) a) b)) (neg.f64 b))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -1 (/ a (pow b 2))) (/ 1 b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))
(/.f64 (fma.f64 a (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 a b)) b) #s(literal 1 binary64)) b)
(+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))
(fma.f64 a (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (neg.f64 a) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ b a))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)
(/.f64 (fma.f64 (/.f64 b a) (+.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)) a)
(/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b (-.f64 (/.f64 (*.f64 b b) a) b)) (neg.f64 a)) b) a)) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* -1 (/ (- (/ b a) 1) a))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))
(/.f64 (fma.f64 (/.f64 b a) (+.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)) a)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b (-.f64 (/.f64 (*.f64 b b) a) b)) (neg.f64 a)) b) a)) a)
a
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
b
(* b (+ 1 (/ a b)))
(fma.f64 b (/.f64 a b) b)
(* b (+ 1 (/ a b)))
(fma.f64 b (/.f64 a b) b)
(* b (+ 1 (/ a b)))
(fma.f64 b (/.f64 a b) b)
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) (neg.f64 b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) (neg.f64 b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) (neg.f64 b))
b
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
a
(* a (+ 1 (/ b a)))
(fma.f64 a (/.f64 b a) a)
(* a (+ 1 (/ b a)))
(fma.f64 a (/.f64 b a) a)
(* a (+ 1 (/ b a)))
(fma.f64 a (/.f64 b a) a)
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(-.f64 (/.f64 (*.f64 a b) a) (neg.f64 a))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(-.f64 (/.f64 (*.f64 a b) a) (neg.f64 a))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(-.f64 (/.f64 (*.f64 a b) a) (neg.f64 a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(* -1/2 (/ (PI) a))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)
(+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (* b (PI)) (pow a 2))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 b (/.f64 (PI.f64) a) (PI.f64)))
(+ (* -1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (PI)) (pow a 3))))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (PI.f64) (*.f64 a a))) b (/.f64 (PI.f64) a)))
(+ (* -1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (PI)) (pow a 4))))))))
(fma.f64 b (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a))
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 a b) (PI.f64))) b)
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* a (PI)) b)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (PI.f64) b) (fma.f64 a (/.f64 a b) a) (PI.f64))) b)
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* a (PI)) b)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 3) (PI)) (pow b 3)))))) b)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 (PI.f64) (*.f64 b b))) (fma.f64 (PI.f64) (/.f64 a b) (PI.f64)))) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* a (PI)) b))) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 a b) (PI.f64))) b)
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (fma.f64 a (/.f64 a b) a)) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* -1/2 (/ (* (pow a 3) (PI)) b))) b)) (* 1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))
(/.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 (PI.f64) (fma.f64 a (/.f64 a b) a))) b) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a))) b)) (neg.f64 b))
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2))))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (fma.f64 (PI.f64) (/.f64 a b) (PI.f64)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4))))))))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
(* -1/2 (/ (PI) a))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a)
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 b (/.f64 (PI.f64) a) (PI.f64)) a))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) a) (fma.f64 b (/.f64 b a) b) (PI.f64))) a)
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3)))))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (PI.f64) (*.f64 a a))) (fma.f64 b (/.f64 (PI.f64) a) (PI.f64)))) a)
(* -1/2 (/ (PI) a))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)
(* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 b (/.f64 (PI.f64) a) (PI.f64)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* -1/2 (/ (* (pow b 2) (PI)) a))) a)) (* 1/2 (PI))) a))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (fma.f64 b (/.f64 (PI.f64) a) (PI.f64))) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* 1/2 (PI))) a))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (fma.f64 b (/.f64 (PI.f64) a) (PI.f64)))) a)) a)) (neg.f64 a))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))

rewrite337.0ms (3.3%)

Memory
12.3MiB live, 627.7MiB allocated
Rules
5 262×lower-/.f32
5 242×lower-/.f64
4 042×lower-*.f32
4 018×lower-*.f64
2 188×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052270
077274
1324220
23034220
08654220
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 1 505
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.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 b a))
(*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a)))
(-.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(/.f64 (PI.f64) a)
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64))))
#s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64))
(*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b a))
(+.f64 b a)
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))
(*.f64 b (*.f64 a a))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(*.f64 a (*.f64 a b))
Outputs
(+.f64 (*.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 -1 binary64) b)))
(+.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 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b (neg.f64 a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (PI.f64))) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b (neg.f64 a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 b (neg.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 b (neg.f64 a)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))))
(-.f64 (/.f64 (/.f64 b (*.f64 b a)) (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))) (/.f64 (/.f64 a (*.f64 b a)) (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))))
(-.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 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))) (/.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 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 (+.f64 b a) (*.f64 b a))) (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (+.f64 b a) (*.f64 b a))) (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b 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 -1 binary64) b)))
(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)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (/.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a)))) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))))
(/.f64 (PI.f64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal 2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a)) (*.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (PI.f64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (*.f64 b a) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 b (neg.f64 a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b a) (*.f64 (/.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b a) (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal -2 binary64)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b (neg.f64 a))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 b (neg.f64 a))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 b a))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (neg.f64 (*.f64 (*.f64 b a) (/.f64 #s(literal 2 binary64) (PI.f64)))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (*.f64 b (*.f64 a (+.f64 b a)))))
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 b a))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (-.f64 b a) (+.f64 b 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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a))))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b 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 (PI.f64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a))))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (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 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (*.f64 (-.f64 b 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))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (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) (+.f64 b a))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (PI.f64)) (*.f64 (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 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 b a) (*.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (PI.f64)) (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) #s(literal 1 binary64)) (*.f64 (+.f64 b a) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (-.f64 b a) (neg.f64 (+.f64 b a))))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 b a))) (*.f64 (-.f64 b a) (neg.f64 (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b (neg.f64 a))))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (+.f64 b a))) (*.f64 #s(literal -2 binary64) (*.f64 b a)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal -1 binary64) (+.f64 b a))) (*.f64 #s(literal -2 binary64) (*.f64 b (neg.f64 a))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a)))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (PI.f64)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (neg.f64 (PI.f64))) (*.f64 (*.f64 b a) #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) #s(literal 1 binary64)) (*.f64 (*.f64 b (neg.f64 a)) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (PI.f64)) (*.f64 (*.f64 b (neg.f64 a)) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (neg.f64 (PI.f64))) (*.f64 (*.f64 b (neg.f64 a)) #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) #s(literal 1 binary64)) (*.f64 a (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) (PI.f64)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) (neg.f64 (PI.f64))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a)))) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)))
(/.f64 (neg.f64 (/.f64 (-.f64 b a) (*.f64 b a))) (neg.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a))))
(/.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (*.f64 b (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b (neg.f64 a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (PI.f64))) (neg.f64 (*.f64 (*.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (PI.f64))) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a)) (*.f64 b a))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (PI.f64))) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 b a))) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.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 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 1 binary64)) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a))) (/.f64 (-.f64 b a) (*.f64 b a))) (+.f64 b a))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 b a))) (*.f64 b (neg.f64 a)))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a)))) a)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 b a))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 (-.f64 b a) (*.f64 b a))) #s(literal 2 binary64))
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 b a) #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 b a)))
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
(/.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (-.f64 b a) #s(literal -2 binary64)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (neg.f64 (-.f64 b a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (-.f64 b a) #s(literal -2 binary64))))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (-.f64 b a))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 b a))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a))) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 b a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (-.f64 b a))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b a))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (PI.f64))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a))) (fma.f64 a (+.f64 b a) (*.f64 b b)))
(*.f64 (pow.f64 (/.f64 (-.f64 b a) (PI.f64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 (-.f64 b a) (neg.f64 (PI.f64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 b (*.f64 a a))
(*.f64 a (*.f64 b a))
(*.f64 (*.f64 b a) a)
(*.f64 (*.f64 a a) b)
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.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 binary64) (/.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 b (neg.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal -1/2 binary64) (*.f64 b (neg.f64 a)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (*.f64 b (neg.f64 a)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))
(pow.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) b)) #s(literal -1 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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 a #s(literal 1/2 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) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 b (*.f64 a a))
(*.f64 a (*.f64 b a))
(*.f64 (*.f64 b a) a)
(*.f64 (*.f64 a a) b)

eval397.0ms (3.9%)

Memory
-9.5MiB live, 914.9MiB allocated
Compiler

Compiled 50 725 to 4 461 computations (91.2% saved)

prune371.0ms (3.7%)

Memory
-11.4MiB live, 810.8MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New2 355122 367
Fresh9615
Picked415
Done011
Total2 368202 388
Accuracy
100.0%
Counts
2 388 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.8%
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) b) a)
▶99.6%
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a))
93.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)
44.4%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(approx (* (* b a) (* (- b a) (+ b a))) (*.f64 a (*.f64 b (*.f64 b b)))))
95.7%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
▶65.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64)))))
56.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (PI.f64)))))
62.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 a b) (PI.f64)) b))))
85.1%
(*.f64 (/.f64 (/.f64 #s(approx (- b a) (-.f64 (/.f64 (*.f64 a b) a) a)) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
62.4%
(*.f64 (/.f64 #s(approx (/ 1 (+ b a)) (/.f64 #s(literal 1 binary64) b)) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
▶95.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
56.4%
#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
56.4%
#s(approx (/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a))))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))))
62.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
66.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a))
▶62.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))))
✓65.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
65.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (PI.f64)) (*.f64 b a))))
▶62.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
✓62.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
Compiler

Compiled 530 to 358 computations (32.5% saved)

simplify576.0ms (5.7%)

Memory
32.0MiB live, 381.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64)))
cost-diff0
#s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64))))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64)))))
cost-diff0
(*.f64 a (+.f64 b a))
cost-diff0
(*.f64 b (*.f64 a (+.f64 b a)))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) b)
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
cost-diff384
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))))
cost-diff0
(*.f64 (+.f64 b a) #s(literal 2 binary64))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
cost-diff384
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a))
Rules
8 436×lower-fma.f64
8 436×lower-fma.f32
4 532×lower-*.f32
4 510×lower-*.f64
3 184×lower-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048273
070271
1155267
2508267
32416251
44699251
08250251
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a))
(/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
(PI.f64)
(*.f64 (+.f64 b a) #s(literal 2 binary64))
(+.f64 b a)
b
a
#s(literal 2 binary64)
(*.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 b (*.f64 a a))
b
(*.f64 a a)
a
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(/.f64 (PI.f64) b)
(PI.f64)
b
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
#s(literal 1/2 binary64)
(*.f64 a a)
a
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a))))
#s(literal 1 binary64)
(*.f64 b (*.f64 a (+.f64 b a)))
b
(*.f64 a (+.f64 b a))
a
(+.f64 b a)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64)))))
#s(literal 1 binary64)
#s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64))))
(*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64)))
(*.f64 a #s(literal 2 binary64))
a
#s(literal 2 binary64)
(/.f64 (*.f64 b a) (PI.f64))
(*.f64 b a)
b
(PI.f64)
Outputs
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a))
(/.f64 (PI.f64) (*.f64 a (*.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64))))
(/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
(PI.f64)
(*.f64 (+.f64 b a) #s(literal 2 binary64))
(+.f64 b a)
b
a
#s(literal 2 binary64)
(*.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.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 a a)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 b (*.f64 a a))
b
(*.f64 a a)
a
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(/.f64 (PI.f64) b)
(PI.f64)
b
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
#s(literal 1/2 binary64)
(*.f64 a a)
a
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (PI.f64) (*.f64 a (*.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (+.f64 b a))))
#s(literal 1 binary64)
(*.f64 b (*.f64 a (+.f64 b a)))
(*.f64 a (*.f64 b (+.f64 b a)))
b
(*.f64 a (+.f64 b a))
a
(+.f64 b a)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64)))))
#s(literal 1 binary64)
#s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64))))
#s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64))))
(*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64)))
(*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64)))
(*.f64 a #s(literal 2 binary64))
a
#s(literal 2 binary64)
(/.f64 (*.f64 b a) (PI.f64))
(*.f64 b a)
b
(PI.f64)

localize298.0ms (3%)

Memory
-5.0MiB live, 241.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.171875
(*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64)))
accuracy0.4827166276162537
(/.f64 (*.f64 b a) (PI.f64))
accuracy0.6340662014467467
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64)))))
accuracy22.929297926151975
#s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64))))
accuracy0.00390625
(*.f64 a (+.f64 b a))
accuracy0.19140625
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy0.6254098030511119
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a))))
accuracy2.163497035236916
(*.f64 b (*.f64 a (+.f64 b a)))
accuracy0.2734375
(/.f64 (PI.f64) b)
accuracy0.4175067591323412
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
accuracy5.700293006518215
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
accuracy21.587391804507114
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
accuracy0
(PI.f64)
accuracy0.7467236402159797
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
accuracy5.258799066478859
(*.f64 b (*.f64 a a))
accuracy21.587391804507114
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))))
accuracy0
(*.f64 b a)
accuracy0
(PI.f64)
accuracy0.19369125976844204
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a))
accuracy0.4644298038039052
(/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
Samples
241.0ms256×0valid
Compiler

Compiled 235 to 43 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 207.0ms
ival-mult: 164.0ms (79.1% of total)
ival-div: 37.0ms (17.8% of total)
ival-sub: 3.0ms (1.4% of total)
ival-pi: 1.0ms (0.5% of total)
ival-add: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
0.9MiB live, 77.8MiB allocated
Counts
22 → 444
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (patch (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 b a) #s(literal 2 binary64)) (patch (*.f64 (+.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))) (patch #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) #s(literal 1/2 binary64)) (patch (*.f64 (PI.f64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) (patch (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (patch #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) b) (patch (/.f64 (PI.f64) b) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 a (+.f64 b a))) (patch (*.f64 b (*.f64 a (+.f64 b a))) #<representation binary64>) () ())
#s(alt (*.f64 a (+.f64 b a)) (patch (*.f64 a (+.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64)))) (patch #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64))) (patch (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 a #s(literal 2 binary64)) (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) (taylor 0 b) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) (taylor 0 b) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(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) (taylor 0 b) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor inf b) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(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)) (taylor inf b) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) (taylor 0 a) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) (taylor 0 a) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(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) (taylor 0 a) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor inf a) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(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)) (taylor inf a) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) a)) (taylor 0 b) (#s(alt (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (patch (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a))) (taylor 0 b) (#s(alt (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (patch (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))))) (taylor 0 b) (#s(alt (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (patch (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 b) (#s(alt (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (patch (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor inf b) (#s(alt (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (patch (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) (taylor inf b) (#s(alt (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (patch (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (patch (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(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) (taylor inf b) (#s(alt (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (patch (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor -inf b) (#s(alt (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (patch (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (taylor -inf b) (#s(alt (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (patch (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ 1/2 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor 0 b) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor 0 b) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor 0 b) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor 0 b) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor inf b) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor inf b) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor inf b) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor inf b) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor -inf b) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor -inf b) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor -inf b) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor -inf b) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor 0 a) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor 0 a) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor 0 a) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor 0 a) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor inf a) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor inf a) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor inf a) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor inf a) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor -inf a) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor -inf a) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor -inf a) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (* a b) (PI)) (taylor -inf a) (#s(alt (/.f64 (*.f64 b a) (PI.f64)) (patch (/.f64 (*.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
Calls

111 calls:

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

simplify330.0ms (3.3%)

Memory
5.0MiB live, 520.2MiB allocated
Algorithm
1×egg-herbie
Rules
9 442×lower-fma.f64
9 442×lower-fma.f32
4 674×lower-*.f64
4 674×lower-*.f32
3 334×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04105424
111255350
230915094
366745090
080654900
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) a))
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(* 1/2 (/ (PI) b))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(* 1/2 (/ (PI) b))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(* 1/2 (/ (PI) a))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(* 2 a)
(+ (* 2 a) (* 2 b))
(+ (* 2 a) (* 2 b))
(+ (* 2 a) (* 2 b))
(* 2 b)
(* b (+ 2 (* 2 (/ a b))))
(* b (+ 2 (* 2 (/ a b))))
(* b (+ 2 (* 2 (/ a b))))
(* 2 b)
(* -1 (* b (- (* -2 (/ a b)) 2)))
(* -1 (* b (- (* -2 (/ a b)) 2)))
(* -1 (* b (- (* -2 (/ a b)) 2)))
(* 2 b)
(+ (* 2 a) (* 2 b))
(+ (* 2 a) (* 2 b))
(+ (* 2 a) (* 2 b))
(* 2 a)
(* a (+ 2 (* 2 (/ b a))))
(* a (+ 2 (* 2 (/ b a))))
(* a (+ 2 (* 2 (/ b a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ b a)) 2)))
(* -1 (* a (- (* -2 (/ b a)) 2)))
(* -1 (* a (- (* -2 (/ b 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) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (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))
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ 1 (* (pow a 2) b))
(/ (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2))) b)
(/ (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) b)
(/ (+ (* b (- (* b (+ (* -1 (/ b (pow a 5))) (/ 1 (pow a 4)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) b)
(/ 1 (* a (pow b 2)))
(/ (- (/ 1 a) (/ 1 b)) (pow b 2))
(/ (- (+ (/ 1 a) (/ a (pow b 2))) (/ 1 b)) (pow b 2))
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ 1 b))) (pow b 2))
(/ 1 (* a (pow b 2)))
(/ (- (/ 1 a) (/ 1 b)) (pow b 2))
(/ (+ (* -1 (/ (+ 1 (* -1 (/ a b))) b)) (/ 1 a)) (pow b 2))
(/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))) b)) (/ 1 a)) (pow b 2))
(/ 1 (* a (pow b 2)))
(/ (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))) a)
(/ (+ (* a (- (/ a (pow b 4)) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 5))) (/ 1 (pow b 4)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a)
(/ 1 (* (pow a 2) b))
(/ (- (/ 1 b) (/ 1 a)) (pow a 2))
(/ (- (+ (/ 1 b) (/ b (pow a 2))) (/ 1 a)) (pow a 2))
(/ (- (+ (* -1 (/ (pow b 2) (pow a 3))) (/ 1 b)) (+ (* -1 (/ b (pow a 2))) (/ 1 a))) (pow a 2))
(/ 1 (* (pow a 2) b))
(/ (- (/ 1 b) (/ 1 a)) (pow a 2))
(/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (/ 1 b)) (pow a 2))
(/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (/ 1 b)) (pow a 2))
(* (pow a 2) b)
(* b (+ (* a b) (pow a 2)))
(* b (+ (* a b) (pow a 2)))
(* b (+ (* a b) (pow a 2)))
(* a (pow b 2))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* a (pow b 2))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* a (pow b 2))
(* a (+ (* a b) (pow b 2)))
(* a (+ (* a b) (pow b 2)))
(* a (+ (* a b) (pow b 2)))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* a 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)))))
(* 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))
(* 2 (/ (* (pow a 2) b) (PI)))
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* 2 (/ (* a (pow b 2)) (PI)))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* 2 (/ (* a (pow b 2)) (PI)))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 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)
(* (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 (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))
(/ (* 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))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) b) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #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) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) b)) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a a) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 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) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) a) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 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) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) a) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b))) a)) (neg.f64 a))) (*.f64 a a))
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(*.f64 (/.f64 (PI.f64) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)))
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(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (PI.f64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(/ 1/2 (pow a 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(/ 1/2 (pow a 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(/ 1/2 (pow a 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(/ 1/2 (pow a 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(/ 1/2 (pow a 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(/ 1/2 (pow a 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(/ 1/2 (pow a 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(/ 1/2 (pow a 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(/ 1/2 (pow a 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(/ 1/2 (pow a 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(/ 1/2 (pow a 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(/ 1/2 (pow a 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))
(/ (* a b) (PI))
(/.f64 (*.f64 a b) (PI.f64))

rewrite305.0ms (3%)

Memory
-19.6MiB live, 504.6MiB allocated
Rules
4 934×lower-/.f32
4 918×lower-/.f64
3 962×lower-*.f32
3 940×lower-*.f64
2 612×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048234
070228
1302196
22707196
08386196
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 992
Calls
Call 1
Inputs
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a))
(/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
(PI.f64)
(*.f64 (+.f64 b a) #s(literal 2 binary64))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
(/.f64 (PI.f64) b)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a))))
(*.f64 b (*.f64 a (+.f64 b a)))
(*.f64 a (+.f64 b a))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64)))))
#s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64))))
(*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64)))
(*.f64 a #s(literal 2 binary64))
(*.f64 b a)
(*.f64 b (*.f64 a a))
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(/.f64 (*.f64 b a) (PI.f64))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 b a) (/.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (PI.f64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b (neg.f64 a))) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal -2 binary64))) (*.f64 b a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (*.f64 (+.f64 b a) b)) #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (*.f64 a (*.f64 (+.f64 b a) b)) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 a (*.f64 (+.f64 b a) b))) #s(literal 2 binary64))) (/.f64 (PI.f64) (*.f64 (neg.f64 (*.f64 a (*.f64 (+.f64 b a) b))) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 a (*.f64 (+.f64 b a) b)) #s(literal 2 binary64)))) (/.f64 (PI.f64) (neg.f64 (*.f64 (*.f64 a (*.f64 (+.f64 b a) b)) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal -2 binary64)))) (/.f64 (PI.f64) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a (*.f64 (+.f64 b a) b)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 a (*.f64 (+.f64 b a) b)))))
(neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal -2 binary64))) (*.f64 b a)))
(/.f64 (PI.f64) (*.f64 (*.f64 a (*.f64 (+.f64 b a) b)) #s(literal 2 binary64)))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 (+.f64 b a) b))))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (neg.f64 (*.f64 b (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (/.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (PI.f64)) (*.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 a (*.f64 (+.f64 b a) b))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 (+.f64 b a) b)) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (+.f64 b a) b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 (+.f64 b a) b)) #s(literal 2 binary64)) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b a) (/.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (PI.f64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (*.f64 a (*.f64 (+.f64 b a) b))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (*.f64 a (*.f64 (+.f64 b a) b))) (/.f64 #s(literal 2 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 b a) (/.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (PI.f64))))))
(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 a (+.f64 b a))))
(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 a (+.f64 b a)) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 (+.f64 b a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (*.f64 a (*.f64 (+.f64 b a) b)))))
(/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b a))))
(/.f64 (/.f64 (PI.f64) b) (*.f64 (*.f64 a (+.f64 b a)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (+.f64 b a) b))) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (*.f64 a (*.f64 (+.f64 b a) b)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 a (*.f64 (+.f64 b a) b))) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 b a) (/.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (PI.f64)) (*.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 a (*.f64 (+.f64 b a) b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 a (*.f64 (+.f64 b a) b)) (/.f64 #s(literal 2 binary64) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a (*.f64 (+.f64 b a) b)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 a (*.f64 (+.f64 b a) b)) #s(literal 2 binary64)) (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 b a) (/.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (PI.f64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 a (*.f64 (+.f64 b a) b)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 (*.f64 a (*.f64 (+.f64 b a) b))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 a (*.f64 (+.f64 b a) b)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal -2 binary64))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 (+.f64 b a) b)))))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal -2 binary64))) (*.f64 b (neg.f64 a)))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal -2 binary64))) (neg.f64 (neg.f64 (*.f64 b (neg.f64 a)))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (*.f64 a (*.f64 (+.f64 b a) b))))
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (PI.f64)))
(/.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 a (+.f64 b a)))))
(/.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (*.f64 (*.f64 a (+.f64 b a)) (/.f64 #s(literal 2 binary64) (PI.f64)))))
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 (+.f64 b a) b))) #s(literal 2 binary64))
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) a)
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 b a)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 b a) #s(literal -2 binary64)) (*.f64 b a)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 (+.f64 b a) b))))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a (*.f64 (+.f64 b a) b)))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)) (*.f64 #s(literal -2 binary64) (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 a (*.f64 (+.f64 b a) b)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 (PI.f64))) (*.f64 (*.f64 a (+.f64 b a)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (PI.f64))) (*.f64 (neg.f64 (*.f64 a (*.f64 (+.f64 b a) b))) #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (*.f64 a (*.f64 (+.f64 b a) b)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (neg.f64 (*.f64 a (*.f64 (+.f64 b a) b))) #s(literal 2 binary64))))
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eval211.0ms (2.1%)

Memory
6.3MiB live, 602.6MiB allocated
Compiler

Compiled 24 895 to 2 613 computations (89.5% saved)

prune249.0ms (2.5%)

Memory
2.6MiB live, 765.5MiB allocated
Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New1 64061 646
Fresh7613
Picked145
Done022
Total1 648181 666
Accuracy
100.0%
Counts
1 666 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.5%
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) a)
62.4%
(/.f64 (/.f64 (PI.f64) #s(approx (* (+ b a) 2) (*.f64 #s(literal 2 binary64) b))) (*.f64 b a))
95.7%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
92.7%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 (+.f64 b a) b)))
✓65.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64)))))
85.1%
(*.f64 (/.f64 (/.f64 #s(approx (- b a) (-.f64 (/.f64 (*.f64 a b) a) a)) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
93.5%
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) a))
99.6%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
✓95.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
56.4%
#s(approx (/ (/ (PI) (* (+ b a) 2)) (* b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
56.4%
#s(approx (/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a))))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))))
62.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
66.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a))
✓62.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))))
✓65.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
65.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (PI.f64)) (*.f64 b a))))
✓62.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
✓62.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
Compiler

Compiled 1 121 to 351 computations (68.7% saved)

regimes70.0ms (0.7%)

Memory
13.2MiB live, 131.2MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))))
#s(approx (/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a))))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))))
#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
#s(approx (/ (/ (PI) (* (+ b a) 2)) (* b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 (+.f64 b a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (PI.f64)) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a))
(/.f64 (/.f64 (PI.f64) #s(approx (* (+ b a) 2) (*.f64 #s(literal 2 binary64) b))) (*.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) a)
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a))
(*.f64 (/.f64 #s(approx (/ 1 (+ b a)) (/.f64 #s(literal 1 binary64) b)) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 a b) (PI.f64)) b))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 b a) (PI.f64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a b))) (PI.f64))))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(approx (* (* b a) (* (- b a) (+ b a))) (*.f64 a (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) #s(approx (* (- b a) (+ b a)) (*.f64 b b))))
(*.f64 #s(approx (/ (/ (- b a) (* b a)) (+ b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) b) a)
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 b (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)))
#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)))
(*.f64 (/.f64 #s(approx (/ (- b a) (* b a)) (/.f64 #s(literal 1 binary64) a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(*.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))))
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.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 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 b a)) (*.f64 (*.f64 b a) (+.f64 b a)))
(*.f64 (-.f64 b a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.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 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 #s(approx (- b a) (-.f64 (/.f64 (*.f64 a b) a) a)) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(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 (PI.f64) (*.f64 #s(literal 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 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))))
Outputs
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a))
Calls

3 calls:

36.0ms
a
16.0ms
b
15.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
99.6%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes38.0ms (0.4%)

Memory
-32.3MiB live, 48.9MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))))
#s(approx (/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a))))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))))
#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
#s(approx (/ (/ (PI) (* (+ b a) 2)) (* b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 (+.f64 b a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (PI.f64)) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a))
(/.f64 (/.f64 (PI.f64) #s(approx (* (+ b a) 2) (*.f64 #s(literal 2 binary64) b))) (*.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))) a)
Outputs
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
Calls

3 calls:

23.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
7.0ms
a
6.0ms
b
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
99.6%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes19.0ms (0.2%)

Memory
6.9MiB live, 45.0MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))))
#s(approx (/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a))))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))))
#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
#s(approx (/ (/ (PI) (* (+ b a) 2)) (* b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 (+.f64 b a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (PI.f64)) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a))
(/.f64 (/.f64 (PI.f64) #s(approx (* (+ b a) 2) (*.f64 #s(literal 2 binary64) b))) (*.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
Calls

3 calls:

8.0ms
a
5.0ms
b
5.0ms
(*.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
99.5%2a
99.1%2b
95.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes6.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))))
#s(approx (/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a))))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))))
#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
#s(approx (/ (/ (PI) (* (+ b a) 2)) (* b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 (+.f64 b a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (PI.f64)) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
Calls

1 calls:

5.0ms
a
Results
AccuracySegmentsBranch
99.5%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))))
#s(approx (/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a))))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))))
#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
#s(approx (/ (/ (PI) (* (+ b a) 2)) (* b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 (+.f64 b a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (PI.f64)) (*.f64 b a))))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
Calls

1 calls:

4.0ms
a
Results
AccuracySegmentsBranch
99.5%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-15.8MiB live, 22.4MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))))
#s(approx (/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a))))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))))
#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
#s(approx (/ (/ (PI) (* (+ b a) 2)) (* b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 (+.f64 b a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) b)))
Outputs
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 (+.f64 b a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
Calls

2 calls:

6.0ms
a
4.0ms
b
Results
AccuracySegmentsBranch
98.9%2b
98.9%2a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
-10.0MiB live, 28.1MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))))
#s(approx (/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a))))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))))
#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
#s(approx (/ (/ (PI) (* (+ b a) 2)) (* b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 (+.f64 b a) b)))
Outputs
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 (+.f64 b a) b)))
Calls

3 calls:

5.0ms
(*.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)))
3.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
92.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
92.7%1a
92.7%1b
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes9.0ms (0.1%)

Memory
27.0MiB live, 27.0MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))))
#s(approx (/ 1 (/ (* (* (- b a) (+ b a)) (* b a)) (* 1/2 (* (PI) (- b a))))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))))
#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
#s(approx (/ (/ (PI) (* (+ b a) 2)) (* b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))))
Calls

3 calls:

3.0ms
b
3.0ms
a
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
83.6%2a
87.5%2b
69.8%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)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes9.0ms (0.1%)

Memory
-25.0MiB live, 16.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
Calls

3 calls:

6.0ms
a
2.0ms
b
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
65.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
65.7%1a
65.7%1b
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes4.0ms (0%)

Memory
14.0MiB live, 14.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
a
1.0ms
b
1.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
62.5%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)))
62.5%1b
62.5%1a
Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch13.0ms (0.1%)

Memory
-14.5MiB live, 22.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
-1.3841823820958848e+122
-8.584772222298649e+121
Samples
9.0ms64×0valid
Compiler

Compiled 134 to 96 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (67.5% of total)
ival-div: 2.0ms (27% of total)
ival-sub: 1.0ms (13.5% 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)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.3841823820958848e+122
-8.584772222298649e+121
Compiler

Compiled 134 to 96 computations (28.4% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.3841823820958848e+122
-8.584772222298649e+121
Compiler

Compiled 134 to 96 computations (28.4% saved)

bsearch3.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
2.0ms
8.761146728815898e+42
1.0067800763737702e+43
Samples
1.0ms16×0valid
Compiler

Compiled 54 to 40 computations (25.9% saved)

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

bsearch20.0ms (0.2%)

Memory
8.9MiB live, 46.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.5367215212665827e-55
2.551382529870161e-51
Samples
13.0ms128×0valid
Compiler

Compiled 234 to 164 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 6.0ms (59.6% of total)
ival-mult: 3.0ms (29.8% of total)
ival-sub: 1.0ms (9.9% 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)

simplify10.0ms (0.1%)

Memory
-19.2MiB live, 19.6MiB allocated
Algorithm
1×egg-herbie
Rules
28×*-commutative_binary64
2×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067325
186325
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(if (<=.f64 a #s(literal -85999999999999994266675699893276156304580679810490586170235023772954461117178401462856858249130935696378274522852673716224 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -85999999999999994266675699893276156304580679810490586170235023772954461117178401462856858249130935696378274522852673716224 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -85999999999999994266675699893276156304580679810490586170235023772954461117178401462856858249130935696378274522852673716224 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 b #s(literal 10000000000000000139372116959414099130712064 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 (+.f64 b a) b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 (+.f64 b a) b)))
(if (<=.f64 b #s(literal 8424983333484575/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))
Outputs
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(if (<=.f64 a #s(literal -85999999999999994266675699893276156304580679810490586170235023772954461117178401462856858249130935696378274522852673716224 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -85999999999999994266675699893276156304580679810490586170235023772954461117178401462856858249130935696378274522852673716224 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -85999999999999994266675699893276156304580679810490586170235023772954461117178401462856858249130935696378274522852673716224 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -85999999999999994266675699893276156304580679810490586170235023772954461117178401462856858249130935696378274522852673716224 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (PI.f64) a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 b #s(literal 10000000000000000139372116959414099130712064 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 (+.f64 b a) b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 b #s(literal 10000000000000000139372116959414099130712064 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 (+.f64 b a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a))))
(if (<=.f64 b #s(literal 8424983333484575/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))))
(if (<=.f64 b #s(literal 8424983333484575/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b a)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))))

soundness824.0ms (8.2%)

Memory
15.4MiB live, 936.8MiB allocated
Rules
12 618×lower-fma.f64
12 618×lower-fma.f32
6 700×lower-*.f32
6 692×lower-*.f64
5 734×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553
02649
112449
2112349
0919349
02911696
17681666
222951612
363831612
083411525
052270
077274
1324220
23034220
08654220
048234
070228
1302196
22707196
08386196
048268
076260
1332228
23052228
08673228
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 887 to 430 computations (51.5% saved)

preprocess65.0ms (0.6%)

Memory
19.1MiB live, 170.5MiB allocated
Remove

(sort a b)

Compiler

Compiled 484 to 178 computations (63.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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