NMSE Section 6.1 mentioned, B

Time bar (total: 9.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze142.0ms (1.5%)

Memory
5.4MiB live, 206.0MiB 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 (12.6%)

Memory
21.9MiB live, 2 335.5MiB allocated
Samples
876.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 676.0ms
ival-div: 271.0ms (40.1% of total)
ival-mult: 248.0ms (36.7% of total)
ival-sub: 77.0ms (11.4% of total)
ival-pi: 61.0ms (9% of total)
exact: 9.0ms (1.3% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain189.0ms (2%)

Memory
30.1MiB live, 469.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
370-1(-2.5616187199805166e-299 4.130212406373663e+157)(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
160-0-(-.f64 (*.f64 b b) (*.f64 a a))
40-0-(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
00-0-(*.f64 a a)
00-0-a
00-0-(/.f64 (PI.f64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(*.f64 b b)
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 1 binary64) b)
00-0-(/.f64 #s(literal 1 binary64) a)
00-0-b
00-0-(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))n*u360
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue160
↳(*.f64 b b)overflow68
↳(*.f64 a a)overflow65
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o40
↳(*.f64 b b)overflow68
↳(*.f64 a a)overflow65
↳(-.f64 (*.f64 b b) (*.f64 a a))overflow117
Confusion
Predicted +Predicted -
+536
-3194
Precision
0.9464285714285714
Recall
0.8983050847457628
Confusion?
Predicted +Predicted MaybePredicted -
+5306
-30194
Precision?
0.9464285714285714
Recall?
0.8983050847457628
Freqs
test
numberfreq
0200
156
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
57.0ms512×0valid
Compiler

Compiled 181 to 49 computations (72.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 17.0ms (44.6% of total)
ival-mult: 13.0ms (34.1% of total)
ival-sub: 5.0ms (13.1% of total)
ival-pi: 2.0ms (5.3% of total)
ival-true: 1.0ms (2.6% of total)
exact: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)

preprocess193.0ms (2%)

Memory
-19.1MiB live, 246.5MiB 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 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 a b))))
Symmetry

(sort a b)

Compiler

Compiled 23 to 15 computations (34.8% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.0%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify149.0ms (1.6%)

Memory
-13.5MiB live, 147.2MiB 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 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 a b))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 b a) (+.f64 a b)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(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 a b))
(*.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) b) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)

localize43.0ms (0.5%)

Memory
-7.6MiB live, 67.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.15625
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
accuracy0.5465884522856617
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
accuracy3.6445126724718526
(-.f64 (*.f64 b b) (*.f64 a a))
accuracy8.310458417906883
(*.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
28.0ms256×0valid
Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 9.0ms (46.5% of total)
ival-mult: 6.0ms (31% of total)
ival-sub: 2.0ms (10.3% of total)
ival-pi: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-26.6MiB live, 18.2MiB 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
@0
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
1.0ms
a
@inf
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
1.0ms
b
@inf
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))

simplify177.0ms (1.8%)

Memory
31.5MiB live, 185.1MiB 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 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) a)) #s(literal -1/2 binary64)) b)) 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 (fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 (*.f64 a a) a))) #s(literal 1/2 binary64)) b (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) a)) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (*.f64 a 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)
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(/.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a a) a)) (*.f64 b (*.f64 (*.f64 b b) b))) (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a a) a)) (*.f64 b (*.f64 (*.f64 b b) b))) (fma.f64 (/.f64 a (*.f64 b b)) a #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(/.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #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 (/.f64 a (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 a a) a) (/.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #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 (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 8 binary64))) a) a (/.f64 a (pow.f64 b #s(literal 6 binary64)))) (*.f64 a a)) a (/.f64 (fma.f64 (/.f64 a (*.f64 b b)) a #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 (neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 b (*.f64 a a)) b (/.f64 (*.f64 b (*.f64 (*.f64 b b) b)) (*.f64 a (*.f64 (*.f64 a 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 (/.f64 b (*.f64 a a)) b (/.f64 (*.f64 b (*.f64 (*.f64 b b) b)) (*.f64 a (*.f64 (*.f64 a 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 (neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 b (*.f64 a a)) b (/.f64 (*.f64 b (*.f64 (*.f64 b b) b)) (*.f64 a (*.f64 (*.f64 a 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 (/.f64 b (*.f64 a a)) b (/.f64 (*.f64 b (*.f64 (*.f64 b b) b)) (*.f64 a (*.f64 (*.f64 a a) a))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))

rewrite209.0ms (2.2%)

Memory
16.9MiB live, 239.1MiB 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
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.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) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 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 (neg.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 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (neg.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 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (neg.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 (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 (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 2/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64))
(/.f64 (neg.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 (PI.f64) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a))))) (fma.f64 a a (*.f64 b b)))
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a))))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))))
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) #s(literal 1/2 binary64)) (PI.f64))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (neg.f64 (PI.f64))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a))))) (fma.f64 a a (*.f64 b b)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a))))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (+.f64 a b) (*.f64 a b))))
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1 binary64)) (/.f64 (-.f64 b a) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) b) (/.f64 (-.f64 b a) a))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))))))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) #s(literal 2 binary64)) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (-.f64 b a) b) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (+.f64 a b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 b a) (*.f64 a b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 b a) (*.f64 a b)))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (/.f64 (-.f64 b a) (*.f64 a b))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) (/.f64 (-.f64 b a) (*.f64 a b))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 b a) (*.f64 a b)))))
(*.f64 (/.f64 (-.f64 b a) a) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) b))
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (*.f64 a b))))
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) b))) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 a b) (*.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))))
(*.f64 (*.f64 (-.f64 b a) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(*.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 a b))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (*.f64 a b))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 a b) (*.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 b a) (*.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) (/.f64 (-.f64 b a) b))
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(*.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(pow.f64 (exp.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b))) (+.f64 (neg.f64 b) a))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))
(/.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 a a))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))) (neg.f64 (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))))
(/.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a))))
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 a a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 b b)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 a a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (*.f64 (*.f64 (*.f64 a a) b) b)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (*.f64 (*.f64 (*.f64 b b) b) b)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 a a) a) a)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (*.f64 (*.f64 (*.f64 (*.f64 a a) b) b) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a))))))
(fma.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a))))))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a))))))
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a))))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a))))))
(+.f64 (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a))))) (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a))))))
(+.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 a a) a) a)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a))))) (*.f64 (*.f64 (*.f64 (*.f64 a a) b) b) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a))))))
(+.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a))))))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a))))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 b b)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 a a)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 a a) a) a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (*.f64 (*.f64 (*.f64 a a) b) b)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (*.f64 (*.f64 (*.f64 b b) b) b)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 a b))) (-.f64 b a)))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))))

eval124.0ms (1.3%)

Memory
-27.4MiB live, 219.4MiB allocated
Compiler

Compiled 22 465 to 2 047 computations (90.9% saved)

prune185.0ms (1.9%)

Memory
15.8MiB live, 324.7MiB allocated
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New65821679
Fresh000
Picked101
Done000
Total65921680
Accuracy
99.9%
Counts
680 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.1%
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a))
86.8%
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (PI.f64)) (-.f64 b a)))
86.7%
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (+.f64 a b) (-.f64 b a)))
▶86.7%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
80.8%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
76.9%
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b))
▶99.7%
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
▶80.5%
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) (/.f64 (-.f64 b a) b))
81.1%
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
86.7%
(*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 b a) (*.f64 a b)))))
99.6%
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
86.7%
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
80.1%
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
86.7%
(*.f64 (PI.f64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 a b))))
46.2%
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
52.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) b)) #s(literal -1/2 binary64)) a)) a))
▶46.2%
#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 a a)))
55.2%
#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 b b)))
61.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
▶53.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
Compiler

Compiled 864 to 516 computations (40.3% saved)

simplify160.0ms (1.7%)

Memory
22.7MiB live, 179.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a)))
cost-diff384
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a)
cost-diff1408
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) (/.f64 (-.f64 b a) b))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
cost-diff384
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
cost-diff1024
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
cost-diff0
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
cost-diff0
#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 a a)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 b (*.f64 a a)))
cost-diff0
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
cost-diff0
(-.f64 b a)
cost-diff0
(/.f64 (-.f64 b a) (*.f64 a b))
cost-diff704
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
cost-diff1088
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a))
Rules
4 660×lower-fma.f64
4 660×lower-fma.f32
4 452×lower-*.f32
4 430×lower-*.f64
3 412×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046331
073331
1163327
2486273
32221273
45771273
08458273
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a))
(/.f64 (-.f64 b a) (*.f64 a b))
(-.f64 b a)
b
a
(*.f64 a b)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(+.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 b (*.f64 a a)))
(PI.f64)
(*.f64 b (*.f64 a a))
b
(*.f64 a a)
a
#s(literal 1/2 binary64)
#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 a a)))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(PI.f64)
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(*.f64 a a)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(PI.f64)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
a
b
(-.f64 b a)
(*.f64 #s(literal 2 binary64) (*.f64 a b))
#s(literal 2 binary64)
(*.f64 a b)
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) (/.f64 (-.f64 b a) b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
a
b
(-.f64 b a)
(/.f64 (-.f64 b a) b)
Outputs
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b))
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/.f64 (-.f64 b a) (*.f64 a b))
(-.f64 b a)
b
a
(*.f64 a b)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))
(*.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 b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 b (*.f64 a a)))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(PI.f64)
(*.f64 b (*.f64 a a))
(*.f64 (*.f64 a a) b)
b
(*.f64 a a)
a
#s(literal 1/2 binary64)
#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 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (PI.f64))
(PI.f64)
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(*.f64 a a)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(/.f64 (PI.f64) (+.f64 a b))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(PI.f64)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
a
b
(-.f64 b a)
(*.f64 #s(literal 2 binary64) (*.f64 a b))
#s(literal 2 binary64)
(*.f64 a b)
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) (/.f64 (-.f64 b a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a)
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) a) (-.f64 b a))) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
a
b
(-.f64 b a)
(/.f64 (-.f64 b a) b)

localize191.0ms (2%)

Memory
32.3MiB live, 291.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(/.f64 (-.f64 b a) b)
accuracy0.568486421301332
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy4.218235065648984
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a)
accuracy7.964379322402848
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) (/.f64 (-.f64 b a) b))
accuracy0.0078125
(*.f64 #s(literal 2 binary64) (*.f64 a b))
accuracy0.181972509768442
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
accuracy0.5841104824161993
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy30.05655101183337
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
accuracy0.01953125
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
accuracy0.3125
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
accuracy4.145289612694377
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
accuracy30.322427287313882
#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 a a)))
accuracy0
(PI.f64)
accuracy0.2430978740245801
(/.f64 (PI.f64) (*.f64 b (*.f64 a a)))
accuracy7.878372744252927
(*.f64 b (*.f64 a a))
accuracy25.384700540070483
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
accuracy0.171875
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
accuracy0.19921875
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a))
accuracy0.234375
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
accuracy15.659984731938746
(/.f64 (-.f64 b a) (*.f64 a b))
Samples
141.0ms256×0valid
Compiler

Compiled 309 to 44 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-div: 52.0ms (46.7% of total)
ival-mult: 49.0ms (44% of total)
ival-sub: 4.0ms (3.6% of total)
ival-pi: 3.0ms (2.7% of total)
ival-add: 2.0ms (1.8% of total)
exact: 1.0ms (0.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series75.0ms (0.8%)

Memory
-19.4MiB live, 136.5MiB allocated
Counts
23 → 504
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 b a) (*.f64 a b)) (patch (/.f64 (-.f64 b a) (*.f64 a b)) #<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 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64))) (patch #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)) (patch (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (patch (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt #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 a a))) (patch #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 a a))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)) (patch (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (patch (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (patch (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (patch (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (patch (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) (/.f64 (-.f64 b a) b)) (patch (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) (/.f64 (-.f64 b a) b)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) #<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 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (* a b)) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* 1/2 (/ a b)) 1/2) a) (taylor 0 a) (#s(alt (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (/ a b)) 1/2) a) (taylor 0 a) (#s(alt (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (/ a b)) 1/2) a) (taylor 0 a) (#s(alt (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 b) (taylor inf a) (#s(alt (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (taylor inf a) (#s(alt (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (taylor inf a) (#s(alt (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (taylor inf a) (#s(alt (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 b) (taylor -inf a) (#s(alt (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (taylor -inf a) (#s(alt (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (taylor -inf a) (#s(alt (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (taylor -inf a) (#s(alt (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 a) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 a) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 a) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 a) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf a) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf a) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf a) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf a) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf a) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf a) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf a) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf a) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 b) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 b) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 b) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 b) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf b) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf b) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf b) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf b) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf b) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf b) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf b) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf b) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal 2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a b)) (taylor 0 b) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (* -1 a)) b) (taylor 0 b) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (* -1 a)) b) (taylor 0 b) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (* -1 a)) b) (taylor 0 b) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf b) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ a b))) (taylor inf b) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ a b))) (taylor inf b) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ a b))) (taylor inf b) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf b) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ a b))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ a b))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ a b))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ a b))) (taylor 0 a) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ a b))) (taylor 0 a) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ a b))) (taylor 0 a) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a b)) (taylor inf a) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ 1 a) (/ 1 b))) (taylor inf a) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ 1 a) (/ 1 b))) (taylor inf a) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ 1 a) (/ 1 b))) (taylor inf a) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a b)) (taylor -inf a) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ 1 b) (/ 1 a)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ 1 b) (/ 1 a)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ 1 b) (/ 1 a)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 b a) b) (patch (/.f64 (-.f64 b a) b) #<representation binary64>) () ())) ())
Calls

126 calls:

TimeVariablePointExpression
21.0ms
b
@0
(/ (/ (- b a) (* a b)) (- b a))
3.0ms
b
@0
(* (/ (PI) (* (+ a b) (- b a))) (- b a))
2.0ms
b
@-inf
(* 2 (* a b))
2.0ms
b
@-inf
(* (/ (PI) (* b (* a a))) 1/2)
1.0ms
b
@0
(* (/ (PI) (* b (* a a))) 1/2)

simplify226.0ms (2.4%)

Memory
-1.2MiB live, 326.2MiB allocated
Algorithm
1×egg-herbie
Rules
21 016×lower-fma.f64
21 016×lower-fma.f32
4 536×lower-*.f64
4 536×lower-*.f32
2 980×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07147802
121516934
081426604
Stop Event
1×iter limit
1×node limit
Counts
504 → 501
Calls
Call 1
Inputs
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ -1 b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(* -1 a)
(- b a)
(- b a)
(- b a)
b
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
b
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
b
(+ b (* -1 a))
(+ b (* -1 a))
(+ b (* -1 a))
(* -1 a)
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* 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)))
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(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (* 1/2 (/ (PI) a)))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* a (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (/ (PI) a))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)) b)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(* 1/2 (/ (PI) a))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(* 1/2 (/ (PI) 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))
(* (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 b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ -1/2 a)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(/ -1/2 a)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(/ -1/2 a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* -1 (/ a b))
(/ (+ b (* -1 a)) b)
(/ (+ b (* -1 a)) b)
(/ (+ b (* -1 a)) b)
1
(+ 1 (* -1 (/ a b)))
(+ 1 (* -1 (/ a b)))
(+ 1 (* -1 (/ a b)))
1
(+ 1 (* -1 (/ a b)))
(+ 1 (* -1 (/ a b)))
(+ 1 (* -1 (/ a b)))
1
(+ 1 (* -1 (/ a b)))
(+ 1 (* -1 (/ a b)))
(+ 1 (* -1 (/ a b)))
(* -1 (/ a b))
(* a (- (/ 1 a) (/ 1 b)))
(* a (- (/ 1 a) (/ 1 b)))
(* a (- (/ 1 a) (/ 1 b)))
(* -1 (/ a b))
(* -1 (* a (- (/ 1 b) (/ 1 a))))
(* -1 (* a (- (/ 1 b) (/ 1 a))))
(* -1 (* a (- (/ 1 b) (/ 1 a))))
Outputs
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) a)) #s(literal -1/2 binary64)) b (*.f64 (/.f64 (PI.f64) (*.f64 a 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 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)) b (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) a)) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (*.f64 a 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 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) a)) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) b)) (*.f64 a a))) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal -1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 a (*.f64 (/.f64 (PI.f64) b) a)) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) b)) #s(literal -1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (*.f64 b 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) b)) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b 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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) b)) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 b b) (/.f64 (PI.f64) (*.f64 (*.f64 a a) a)))) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal -1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.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 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 b (*.f64 (/.f64 (PI.f64) a) b)) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (neg.f64 a))) (neg.f64 a))) (*.f64 a a))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(/ (- (/ b a) 1) b)
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(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* 2 (* a b))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(* -1 (/ a b))
(/.f64 (neg.f64 a) b)
(/ (+ b (* -1 a)) b)
(/.f64 (-.f64 b a) b)
(/ (+ b (* -1 a)) b)
(/.f64 (-.f64 b a) b)
(/ (+ b (* -1 a)) b)
(/.f64 (-.f64 b a) b)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ a b)))
(-.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (* -1 (/ a b)))
(-.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (* -1 (/ a b)))
(-.f64 #s(literal 1 binary64) (/.f64 a b))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ a b)))
(-.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (* -1 (/ a b)))
(-.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (* -1 (/ a b)))
(-.f64 #s(literal 1 binary64) (/.f64 a b))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ a b)))
(-.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (* -1 (/ a b)))
(-.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (* -1 (/ a b)))
(-.f64 #s(literal 1 binary64) (/.f64 a b))
(* -1 (/ a b))
(/.f64 (neg.f64 a) b)
(* a (- (/ 1 a) (/ 1 b)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) a)
(* a (- (/ 1 a) (/ 1 b)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) a)
(* a (- (/ 1 a) (/ 1 b)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) a)
(* -1 (/ a b))
(/.f64 (neg.f64 a) b)
(* -1 (* a (- (/ 1 b) (/ 1 a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))
(* -1 (* a (- (/ 1 b) (/ 1 a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))
(* -1 (* a (- (/ 1 b) (/ 1 a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))

rewrite540.0ms (5.6%)

Memory
-116.3MiB live, 443.8MiB allocated
Rules
6 098×lower-*.f32
6 076×lower-*.f64
4 426×lower-/.f32
4 402×lower-/.f64
3 146×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046261
073257
1355257
23806257
08746257
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 1 651
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(/.f64 (-.f64 b a) (*.f64 a b))
(-.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 b (*.f64 a a)))
(PI.f64)
#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 a a)))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) (/.f64 (-.f64 b a) b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 b (*.f64 a a))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal 2 binary64) (*.f64 a b))
(/.f64 (-.f64 b a) b)
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 b a) a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (pow.f64 (/.f64 (-.f64 b a) (neg.f64 (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) a)))
(*.f64 (pow.f64 (/.f64 (-.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(*.f64 (/.f64 (neg.f64 (-.f64 b a)) (*.f64 (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)) (*.f64 a b))) (+.f64 a b))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 a b)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (neg.f64 b) a)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (-.f64 b a)))
(*.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) a) b)))
(pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) (-.f64 b a)) (*.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (-.f64 b a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 a (/.f64 b (-.f64 b a))) (-.f64 b a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 b a) (-.f64 b a)) (*.f64 a b)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 #s(literal 1 binary64) (-.f64 b a))) b)
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (*.f64 (neg.f64 b) a))
(/.f64 (*.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (*.f64 a b))
(/.f64 (/.f64 (-.f64 b a) (-.f64 b a)) (*.f64 a b))
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) #s(literal 1 binary64)) (-.f64 b a))
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) #s(literal 1 binary64)) (*.f64 b (-.f64 b a)))
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 b) a) (-.f64 b a)))
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 b a) a) b))
(/.f64 (/.f64 (-.f64 b a) a) (*.f64 (-.f64 b a) b))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 a (/.f64 b (-.f64 b a))))
(/.f64 (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a)) (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (-.f64 b a)) (neg.f64 (*.f64 (*.f64 (-.f64 b a) a) b)))
(/.f64 (neg.f64 (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (neg.f64 b) a)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 (neg.f64 b) a)) (neg.f64 (-.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (-.f64 b a) (-.f64 b a)) (*.f64 a b))))
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 b a) (-.f64 b a)) (*.f64 a b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (/.f64 b (-.f64 b a))) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 b a) (-.f64 b a)) (*.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a))
(/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) b))
(neg.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 (neg.f64 b) a)) (-.f64 b a)))
(neg.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (neg.f64 (-.f64 b a))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b a)) (/.f64 (/.f64 a (*.f64 a b)) (-.f64 b a)))
(-.f64 (/.f64 b (*.f64 (*.f64 (-.f64 b a) a) b)) (/.f64 a (*.f64 (*.f64 (-.f64 b a) a) b)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 b a) (-.f64 b a)) (*.f64 a b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (*.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal -1 binary64)) (/.f64 (-.f64 b a) b))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (/.f64 b (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a b) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (+.f64 a b))) (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (+.f64 a b))) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) b))) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
(*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) b))) (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b))) (fma.f64 a a (*.f64 b (-.f64 b a))))
(*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (fma.f64 a a (*.f64 b b)))
(*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 a b))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (/.f64 b (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) b)) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (+.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) b))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 a b)) (/.f64 (-.f64 b a) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 a b)))
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) b) (/.f64 (-.f64 b a) a))
(*.f64 (*.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) b))) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(*.f64 (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (-.f64 b a)) (+.f64 a b)))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (neg.f64 (-.f64 b a)) (*.f64 (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)) (*.f64 a b))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 a b))))
(*.f64 (*.f64 (neg.f64 (-.f64 b a)) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a b))))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(*.f64 (/.f64 (-.f64 b a) b) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (-.f64 b a)) (+.f64 a b)))))
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (-.f64 b a)) (+.f64 a b)))) (/.f64 (-.f64 b a) b))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 a b)))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 a b))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) b)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) b))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (-.f64 b a)) (*.f64 (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)) (*.f64 a b))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (-.f64 b a)) (*.f64 (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)) (*.f64 a b)))))
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(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a #s(literal -2 binary64))) (*.f64 (neg.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (*.f64 b #s(literal 2 binary64))) (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (*.f64 b #s(literal 2 binary64))) (neg.f64 (neg.f64 a))))
(/.f64 (+.f64 (neg.f64 a) (*.f64 (neg.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (*.f64 b #s(literal 2 binary64))) a))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 b #s(literal 2 binary64))) (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 a #s(literal -2 binary64)) (*.f64 (neg.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 b #s(literal 2 binary64))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 a) (*.f64 (neg.f64 (*.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (*.f64 b #s(literal 2 binary64))) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 a #s(literal -2 binary64))) (*.f64 (neg.f64 b) #s(literal -1 binary64))) (*.f64 (neg.f64 b) (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) #s(literal -1/2 binary64))) (*.f64 (neg.f64 b) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 (neg.f64 b) (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)) (*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 a))))
(/.f64 (+.f64 a (*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)) a))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a #s(literal -2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 b #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 b #s(literal 2 binary64)) (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)) (*.f64 (*.f64 b #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 b #s(literal 2 binary64)) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 a #s(literal -2 binary64))) (*.f64 (neg.f64 (neg.f64 b)) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 (neg.f64 b)) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) a (*.f64 (neg.f64 (neg.f64 b)) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (neg.f64 b)) a))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 b)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 b)) (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -2 binary64)) (*.f64 (neg.f64 (neg.f64 b)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 a #s(literal -2 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 b)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 a #s(literal -2 binary64))) (*.f64 b #s(literal -1 binary64))) (*.f64 b (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 a)) (*.f64 #s(literal -1/2 binary64) b)) (*.f64 b (neg.f64 (neg.f64 a))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64)) b) (*.f64 b (/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) a) b)
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) b) a)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 a a) a)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) b)))) (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 #s(literal -1/4 binary64) (*.f64 a b))) (/.f64 #s(literal 1/4 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a))) (*.f64 (neg.f64 b) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 b) (*.f64 a #s(literal -1/2 binary64))) (*.f64 (neg.f64 b) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 2 binary64)) a) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (*.f64 (*.f64 a #s(literal -2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 b #s(literal 2 binary64))))
(/.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) b))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 b) (*.f64 (neg.f64 a) #s(literal -1/2 binary64))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 2 binary64)) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (*.f64 b #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (neg.f64 a) #s(literal 1/2 binary64))) (*.f64 (neg.f64 b) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 (neg.f64 b) #s(literal -1/2 binary64))) (*.f64 (neg.f64 b) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a #s(literal -2 binary64)) (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 (neg.f64 b) (*.f64 a #s(literal -2 binary64))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 a) (*.f64 (neg.f64 b) #s(literal 1/2 binary64))) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (+.f64 a (*.f64 (*.f64 b #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 b #s(literal 2 binary64)) a))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64)) (*.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a #s(literal -2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (*.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 b #s(literal 2 binary64)) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -2 binary64)) b) (*.f64 b (*.f64 a #s(literal -2 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 a) (*.f64 b #s(literal 1/2 binary64))) (*.f64 (neg.f64 b) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) (/.f64 #s(literal 1/4 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 a a) a)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) b))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) (/.f64 #s(literal -1/4 binary64) (*.f64 a b)))))
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 a a) a)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) b))) (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 #s(literal -1/4 binary64) (*.f64 a b))) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (*.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 #s(literal -1/4 binary64) (*.f64 a b))) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 a a) a)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) b))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 a)) (/.f64 #s(literal 1/2 binary64) b))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (*.f64 #s(literal 2 binary64) b) a)
(*.f64 (*.f64 #s(literal 2 binary64) a) b)
(*.f64 #s(literal 2 binary64) (*.f64 a b))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(*.f64 a (*.f64 b #s(literal 2 binary64)))
(*.f64 b (*.f64 #s(literal 2 binary64) a))
(*.f64 (pow.f64 (/.f64 b (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (*.f64 b b))))
(*.f64 (pow.f64 (/.f64 b (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(*.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (neg.f64 (-.f64 b a)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) b))
(*.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) b))
(pow.f64 (/.f64 (/.f64 b (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (-.f64 b a)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a)) (/.f64 #s(literal 1 binary64) b)) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) b)) (+.f64 a b))
(/.f64 (*.f64 (-.f64 b a) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) (/.f64 a b))) (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (*.f64 #s(literal 1 binary64) (/.f64 a b)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 b a))) (neg.f64 (neg.f64 b)))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a)) #s(literal -1 binary64)) (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (neg.f64 b)))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a)) #s(literal 1 binary64)) (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) b))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)) (*.f64 (+.f64 a b) (neg.f64 b)))
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) b)
(/.f64 (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a)) (*.f64 b (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (*.f64 b (-.f64 b a)) (*.f64 b b))
(/.f64 (neg.f64 (-.f64 b a)) (neg.f64 b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (-.f64 b a))))
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 b (+.f64 a b)))
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (+.f64 a b) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (-.f64 b a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 b a)))
(/.f64 (-.f64 b a) b)
(neg.f64 (/.f64 (neg.f64 (-.f64 b a)) b))
(neg.f64 (/.f64 (-.f64 b a) (neg.f64 b)))
(-.f64 #s(literal 1 binary64) (/.f64 a b))
(exp.f64 (*.f64 (log.f64 (/.f64 b (-.f64 b a))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b)))

eval409.0ms (4.3%)

Memory
14.5MiB live, 829.4MiB allocated
Compiler

Compiled 60 087 to 5 033 computations (91.6% saved)

prune356.0ms (3.7%)

Memory
33.9MiB live, 815.5MiB allocated
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New2 572192 591
Fresh13316
Picked415
Done000
Total2 589232 612
Accuracy
100.0%
Counts
2 612 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
83.8%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b)))
86.3%
(/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (*.f64 (+.f64 a b) (-.f64 b a)))
93.2%
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) b))) (+.f64 a b))
▶74.9%
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b))
68.5%
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
60.2%
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
99.6%
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))))
69.3%
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) #s(approx (/ (- b a) b) #s(literal 1 binary64)))
▶81.1%
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
76.0%
(*.f64 (/.f64 #s(approx (/ (- b a) (* a b)) (/.f64 #s(literal 1 binary64) a)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
64.3%
(*.f64 (/.f64 #s(approx (/ (- b a) (* a b)) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 b a) (*.f64 a b)))))
▶99.7%
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
61.7%
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
▶53.9%
#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))
53.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
55.2%
#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 b b)))
60.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64)))
60.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
✓53.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
60.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
▶54.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
Compiler

Compiled 744 to 466 computations (37.4% saved)

simplify123.0ms (1.3%)

Memory
-23.9MiB live, 214.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff128
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a))
cost-diff1280
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b))
cost-diff0
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
cost-diff0
(-.f64 b a)
cost-diff320
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
cost-diff704
(/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a))
cost-diff0
#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))
cost-diff384
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
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 (*.f64 a a) b))))
cost-diff0
(*.f64 b a)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 b a))
cost-diff0
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
cost-diff0
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
Rules
6 530×lower-fma.f64
6 530×lower-fma.f32
4 122×lower-*.f32
4 096×lower-*.f64
2 972×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047314
071314
1160310
2493260
32223260
45099260
08502259
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
#s(literal 1 binary64)
(*.f64 b a)
b
a
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(+.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 (*.f64 a a) b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a a) b)
(*.f64 a 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 a a)) b))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 a a)
a
b
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
(-.f64 b a)
b
a
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
(*.f64 a b)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
Outputs
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
#s(literal 1 binary64)
(*.f64 b a)
(*.f64 a b)
b
a
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))
(*.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 b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a a) b)
(*.f64 a 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 a a)) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 a a)
a
b
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) a))
(/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a b) b) a))
(-.f64 b a)
b
a
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(*.f64 (*.f64 (+.f64 a b) a) (*.f64 (-.f64 b a) b))
(*.f64 (+.f64 a b) (-.f64 b a))
(*.f64 (-.f64 b a) (+.f64 a b))
(+.f64 a b)
(*.f64 a b)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) a))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a))
(*.f64 (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b)
(*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a))
(*.f64 (+.f64 a b) (-.f64 b a))
(*.f64 (-.f64 b a) (+.f64 a b))
(+.f64 a b)

localize195.0ms (2%)

Memory
-8.5MiB live, 360.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(/.f64 (-.f64 b a) a)
accuracy0.15234375
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a))
accuracy4.01112197120837
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b)
accuracy11.945526962850703
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b))
accuracy0
(PI.f64)
accuracy0.1328125
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy2.196601692931063
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
accuracy9.798713381707225
(/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
accuracy0
(PI.f64)
accuracy0.6040575160857825
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a))
accuracy7.861293735210222
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)
accuracy25.384700540070483
#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))
accuracy0.1484375
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
accuracy0.22492796729000586
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
accuracy7.878372744252927
(*.f64 (*.f64 a a) b)
accuracy25.384700540070483
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
accuracy0
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
accuracy0.171875
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
accuracy0.234375
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
accuracy0.5029320464969471
(/.f64 #s(literal 1 binary64) (*.f64 b a))
Samples
145.0ms256×0valid
Compiler

Compiled 284 to 42 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-div: 63.0ms (51.9% of total)
ival-mult: 52.0ms (42.8% of total)
ival-sub: 4.0ms (3.3% of total)
ival-pi: 1.0ms (0.8% of total)
ival-add: 1.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory
18.1MiB live, 99.3MiB allocated
Counts
22 → 468
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.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 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 (*.f64 a a) b)))) (patch #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) (patch (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b) (patch (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.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 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (patch (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (patch (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b)) (patch (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a)) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor 0 b) (#s(alt (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a 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 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a 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 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a 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 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor inf b) (#s(alt (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor inf b) (#s(alt (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a 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 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a 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 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor -inf b) (#s(alt (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor -inf b) (#s(alt (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a 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 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a 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 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor 0 a) (#s(alt (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a 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 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<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 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<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 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor inf a) (#s(alt (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor inf a) (#s(alt (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<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 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<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 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor -inf a) (#s(alt (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor -inf a) (#s(alt (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<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 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<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 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 b) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 b) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 b) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 b) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf b) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf b) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf b) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf b) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf b) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf b) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf b) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf b) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 a) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 a) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 a) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 a) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf a) (#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow a 2) b)) (taylor -inf a) (#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 b) (* -1 (/ (* b (+ b (* -1 b))) a)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* b (+ b (* -1 b)))) a)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* b (+ b (* -1 b)))) a)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 2) b)) (taylor 0 b) (#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))) (taylor 0 b) (#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))) (taylor 0 b) (#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))) (taylor 0 b) (#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (+ (* -1 (/ a b)) (/ a b)))) (taylor inf b) (#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))))) (taylor inf b) (#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))))) (taylor inf b) (#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- (* -1 (/ (+ a (* -1 a)) b)) 1))) (taylor -inf b) (#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))) (taylor -inf b) (#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))) (taylor -inf b) (#s(alt (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) (patch (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 b) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (- (/ b a) 1) (taylor 0 b) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (- (/ b a) 1) (taylor 0 b) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (- (/ b a) 1) (taylor 0 b) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf b) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ 1 a) (/ 1 b))) (taylor inf b) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ 1 a) (/ 1 b))) (taylor inf b) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ 1 a) (/ 1 b))) (taylor inf b) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf b) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ 1 b) (/ 1 a)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ 1 b) (/ 1 a)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ 1 b) (/ 1 a)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 a) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (* -1 a)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (* -1 a)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (* -1 a)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf a) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (- (/ b a) 1) (taylor inf a) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (- (/ b a) 1) (taylor inf a) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (- (/ b a) 1) (taylor inf a) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf a) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (- (/ b a) 1) (taylor -inf a) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (- (/ b a) 1) (taylor -inf a) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (- (/ b a) 1) (taylor -inf a) (#s(alt (/.f64 (-.f64 b a) a) (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
Calls

117 calls:

TimeVariablePointExpression
5.0ms
b
@0
(/ 1/2 (* (* a a) b))
2.0ms
a
@-inf
(* (* (+ a b) (- b a)) (* a b))
2.0ms
a
@-inf
(/ (- b a) (* (* (+ a b) (- b a)) (* a b)))
1.0ms
b
@inf
(/ 1/2 (* (* a a) b))
0.0ms
b
@0
(* (* (PI) 1/2) (/ (- b a) a))

simplify195.0ms (2%)

Memory
2.6MiB live, 231.4MiB allocated
Algorithm
1×egg-herbie
Rules
11 332×lower-fma.f64
11 332×lower-fma.f32
4 314×lower-*.f64
4 314×lower-*.f32
3 910×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04735685
113705439
243555157
083255039
Stop Event
1×iter limit
1×node limit
Counts
468 → 465
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 (* 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 (* 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))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) 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))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(/ 1 (* (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))
(* 1/2 (/ (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 a)
(- b a)
(- b a)
(- b a)
b
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
b
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
b
(+ b (* -1 a))
(+ b (* -1 a))
(+ b (* -1 a))
(* -1 a)
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* 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 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)))))
(* 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))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(* 1/2 (/ (* b (PI)) a))
(* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))))
(* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))))
(* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))))
(* 1/2 (/ (* b (PI)) a))
(* -1 (* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))))
(* -1 (* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))))
(* -1 (* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))))
(* 1/2 (/ (* b (PI)) a))
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) a)
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) a)
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) a)
(* -1/2 (PI))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(* -1/2 (PI))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(* 1/2 (/ (PI) a))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(* 1/2 (/ (PI) 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))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(pow b 3)
(+ (* a (* b (+ b (* -1 b)))) (pow b 3))
(+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))
(+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))
(* -1 (* (pow a 2) b))
(* (pow a 2) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 2) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* (pow a 2) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* -1 (* (pow a 2) b))
(* (pow a 2) (+ (* -1 b) (* -1 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 2) (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* b (+ b (* -1 b)))) a))))
(* (pow a 2) (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* b (+ b (* -1 b)))) a))))
(* -1 (* (pow a 2) b))
(* b (+ (* -1 (pow a 2)) (* b (+ a (* -1 a)))))
(* b (+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a))))))
(* b (+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(* (pow b 3) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(* (pow b 3) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (* -1 a)) b)) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1)))
-1
(- (/ b a) 1)
(- (/ b a) 1)
(- (/ b a) 1)
(/ b a)
(* b (- (/ 1 a) (/ 1 b)))
(* b (- (/ 1 a) (/ 1 b)))
(* b (- (/ 1 a) (/ 1 b)))
(/ b a)
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(/ b a)
(/ (+ b (* -1 a)) a)
(/ (+ b (* -1 a)) a)
(/ (+ b (* -1 a)) a)
-1
(- (/ b a) 1)
(- (/ b a) 1)
(- (/ b a) 1)
-1
(- (/ b a) 1)
(- (/ b a) 1)
(- (/ b a) 1)
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)) b) b)) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) #s(literal 1/2 binary64)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 a #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) a) b)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal -1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 a (*.f64 (/.f64 (PI.f64) b) a)) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
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(*.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64))
(* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))))
(*.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) b)
(* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))))
(*.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) b)
(* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))))
(*.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) b)
(* 1/2 (/ (* b (PI)) a))
(*.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64))
(* -1 (* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))))
(*.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) b)
(* -1 (* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))))
(*.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) b)
(* -1 (* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))))
(*.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) b)
(* 1/2 (/ (* b (PI)) a))
(*.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) a)
(/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) a (*.f64 b #s(literal 1/2 binary64)))) a)
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) a)
(/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) a (*.f64 b #s(literal 1/2 binary64)))) a)
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) a)
(/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) a (*.f64 b #s(literal 1/2 binary64)))) a)
(* -1/2 (PI))
(*.f64 #s(literal -1/2 binary64) (PI.f64))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(* -1/2 (PI))
(*.f64 #s(literal -1/2 binary64) (PI.f64))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(* 1/2 (/ (PI) b))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) #s(literal -1/2 binary64)))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal -1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) a) (*.f64 (fma.f64 (*.f64 b b) (/.f64 (PI.f64) (*.f64 a a)) (PI.f64)) #s(literal 1/2 binary64))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) a) (+.f64 b (*.f64 (*.f64 b b) (/.f64 b (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 b b) (/.f64 (PI.f64) (*.f64 a a)) (PI.f64)) #s(literal 1/2 binary64))) a)
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.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) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b (*.f64 (*.f64 b (*.f64 (/.f64 (PI.f64) a) b)) #s(literal 1/2 binary64))) (neg.f64 a))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 (/.f64 (PI.f64) a) b))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 b b) (PI.f64)) #s(literal -1/2 binary64))) (neg.f64 a))) (neg.f64 a))) (neg.f64 a))
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) a) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) b) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) a) #s(literal -1/2 binary64)))) b (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
(* 1/2 (/ (PI) b))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal -1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) b) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (*.f64 a a) (PI.f64)) #s(literal 1/2 binary64))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (PI.f64) b))) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (*.f64 a a) (PI.f64)) #s(literal 1/2 binary64))) b)
(* 1/2 (/ (PI) b))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.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) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) a (*.f64 (*.f64 a (*.f64 (/.f64 (PI.f64) b) a)) #s(literal 1/2 binary64))) (neg.f64 b))) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 (/.f64 (PI.f64) b) a))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a (PI.f64)) a) #s(literal -1/2 binary64))) (neg.f64 b))) (neg.f64 b))) (neg.f64 b))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(* (pow a 2) b)
(*.f64 b (*.f64 a a))
(pow b 3)
(*.f64 (*.f64 b b) b)
(+ (* a (* b (+ b (* -1 b)))) (pow b 3))
(*.f64 (*.f64 b b) b)
(+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))
(*.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) b)
(+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))
(*.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) b)
(* -1 (* (pow a 2) b))
(*.f64 (*.f64 (neg.f64 a) a) b)
(* (pow a 2) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(*.f64 (*.f64 (neg.f64 a) a) b)
(* (pow a 2) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a a)) (neg.f64 b)) a) a)
(* (pow a 2) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a a)) (neg.f64 b)) a) a)
(* -1 (* (pow a 2) b))
(*.f64 (*.f64 (neg.f64 a) a) b)
(* (pow a 2) (+ (* -1 b) (* -1 (/ (* b (+ b (* -1 b))) a))))
(*.f64 (*.f64 (neg.f64 a) a) b)
(* (pow a 2) (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* b (+ b (* -1 b)))) a))))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a a)) (neg.f64 b)) a) a)
(* (pow a 2) (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* b (+ b (* -1 b)))) a))))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a a)) (neg.f64 b)) a) a)
(* -1 (* (pow a 2) b))
(*.f64 (*.f64 (neg.f64 a) a) b)
(* b (+ (* -1 (pow a 2)) (* b (+ a (* -1 a)))))
(*.f64 (*.f64 (neg.f64 a) a) b)
(* b (+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a))))))
(*.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) b)
(* b (+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a))))))
(*.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) b)
(pow b 3)
(*.f64 (*.f64 b b) b)
(* (pow b 3) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(*.f64 (*.f64 b b) b)
(* (pow b 3) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(*.f64 (*.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)) b) (*.f64 (neg.f64 b) b))
(* (pow b 3) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(*.f64 (*.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)) b) (*.f64 (neg.f64 b) b))
(pow b 3)
(*.f64 (*.f64 b b) b)
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (* -1 a)) b)) 1)))
(*.f64 (*.f64 b b) b)
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1)))
(*.f64 (*.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)) b) (*.f64 (neg.f64 b) b))
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1)))
(*.f64 (*.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)) b) (*.f64 (neg.f64 b) b))
-1
#s(literal -1 binary64)
(- (/ b a) 1)
(/.f64 (-.f64 b a) a)
(- (/ b a) 1)
(/.f64 (-.f64 b a) a)
(- (/ b a) 1)
(/.f64 (-.f64 b a) a)
(/ b a)
(/.f64 b a)
(* b (- (/ 1 a) (/ 1 b)))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(* b (- (/ 1 a) (/ 1 b)))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(* b (- (/ 1 a) (/ 1 b)))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/ b a)
(/.f64 b a)
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/ b a)
(/.f64 b a)
(/ (+ b (* -1 a)) a)
(/.f64 (-.f64 b a) a)
(/ (+ b (* -1 a)) a)
(/.f64 (-.f64 b a) a)
(/ (+ b (* -1 a)) a)
(/.f64 (-.f64 b a) a)
-1
#s(literal -1 binary64)
(- (/ b a) 1)
(/.f64 (-.f64 b a) a)
(- (/ b a) 1)
(/.f64 (-.f64 b a) a)
(- (/ b a) 1)
(/.f64 (-.f64 b a) a)
-1
#s(literal -1 binary64)
(- (/ b a) 1)
(/.f64 (-.f64 b a) a)
(- (/ b a) 1)
(/.f64 (-.f64 b a) a)
(- (/ b a) 1)
(/.f64 (-.f64 b a) a)

rewrite225.0ms (2.3%)

Memory
-10.4MiB live, 418.5MiB allocated
Rules
6 046×lower-/.f32
6 030×lower-/.f64
3 894×lower-*.f32
3 868×lower-*.f64
1 838×frac-2neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047250
071246
1327208
22941208
08765208
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 1 433
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.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 (*.f64 a a) b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) 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 a a)) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 b a)
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 (*.f64 a a) b)
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b)
(/.f64 (-.f64 b a) a)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
(*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b))) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(*.f64 (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (+.f64 a b)))
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(pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 a b)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 a b))))
(/.f64 (neg.f64 (/.f64 (PI.f64) (+.f64 a b))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (+.f64 a b) #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b))) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (+.f64 a b))) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 a b)))
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (neg.f64 (neg.f64 (+.f64 a b)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (+.f64 a b) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (+.f64 a b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 a b))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (+.f64 a b)))
(-.f64 (/.f64 (/.f64 b (*.f64 (-.f64 b a) (+.f64 a b))) (/.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (/.f64 a (*.f64 (-.f64 b a) (+.f64 a b))) (/.f64 #s(literal 2 binary64) (PI.f64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 a b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (+.f64 a b)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 a b) #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 a b) a)
(*.f64 (*.f64 a a) b)
(*.f64 a (*.f64 a b))
(*.f64 b (*.f64 a a))
(*.f64 (*.f64 b (+.f64 a b)) (-.f64 b a))
(*.f64 (*.f64 (-.f64 b a) b) (+.f64 a b))
(*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) b)
(*.f64 (-.f64 b a) (*.f64 (+.f64 a b) b))
(*.f64 (+.f64 a b) (*.f64 (-.f64 b a) b))
(*.f64 b (*.f64 (-.f64 b a) (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (-.f64 b a) (+.f64 a b))) b)) (neg.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) b)) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (-.f64 b a) b))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b)) (*.f64 (-.f64 b a) b))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (neg.f64 (*.f64 b (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (-.f64 b a) (+.f64 a b))))) (neg.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 b (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (-.f64 b a) (+.f64 a b))) b) (fma.f64 a a (*.f64 b b)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a))) b) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (-.f64 b a) b)) (-.f64 a b))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b)) (*.f64 (-.f64 b a) b)) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(/.f64 (*.f64 b (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (-.f64 b a) (+.f64 a b)))) (fma.f64 a a (*.f64 b b)))
(/.f64 (*.f64 b (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 (*.f64 (neg.f64 a) a) b))
(fma.f64 (*.f64 (*.f64 b b) b) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 a) a) b))
(fma.f64 (*.f64 b b) b (*.f64 (*.f64 (neg.f64 a) a) b))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (neg.f64 a) a) b))
(fma.f64 b (*.f64 b b) (*.f64 (*.f64 (neg.f64 a) a) b))
(+.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (neg.f64 a) a) b))
(*.f64 (pow.f64 (/.f64 a (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (*.f64 b b))))
(*.f64 (pow.f64 (/.f64 a (*.f64 (-.f64 b a) (+.f64 a b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(*.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (neg.f64 (-.f64 b a)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b a))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) a))
(pow.f64 (/.f64 (/.f64 a (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a (-.f64 b a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a))) (neg.f64 (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (/.f64 #s(literal 1 binary64) a))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) a)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a b) (*.f64 a a))) (*.f64 (neg.f64 a) a))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) #s(literal -1 binary64))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 b a)))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) a)))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 a b) (neg.f64 a))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (/.f64 #s(literal 1 binary64) a)) (+.f64 a b))
(/.f64 (*.f64 (-.f64 b a) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) a)) #s(literal 1 binary64)) (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a))) (neg.f64 (*.f64 a (fma.f64 a (+.f64 a b) (*.f64 b b)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 b a))) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) a)
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a)) #s(literal -1 binary64)) (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (neg.f64 a)))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a)) #s(literal 1 binary64)) (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) a))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (+.f64 a b) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 a b) (*.f64 a a)) (*.f64 a a))
(/.f64 (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a)) (*.f64 a (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)) (neg.f64 (*.f64 a (+.f64 a b))))
(/.f64 (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)) (neg.f64 (*.f64 (+.f64 a b) a)))
(/.f64 (neg.f64 (-.f64 b a)) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (-.f64 b a)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (*.f64 (+.f64 a b) a))
(/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (*.f64 a (+.f64 a b)))
(/.f64 (-.f64 b a) a)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 b a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b a)))
(neg.f64 (/.f64 (neg.f64 (-.f64 b a)) a))
(neg.f64 (/.f64 (-.f64 b a) (neg.f64 a)))
(fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (+.f64 (/.f64 b a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b a) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) a)) (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 a b) (*.f64 a a)) (/.f64 (*.f64 a a) (*.f64 a a)))
(-.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a (fma.f64 a (+.f64 a b) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 a a) a) (*.f64 a (fma.f64 a (+.f64 a b) (*.f64 b b)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) a)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) a)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))) (*.f64 (+.f64 a b) a)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))) (*.f64 (+.f64 a b) a)))
(-.f64 (/.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) (*.f64 (+.f64 a b) a)) (/.f64 (/.f64 (*.f64 a a) #s(literal 1 binary64)) (*.f64 (+.f64 a b) a)))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (+.f64 a b) a)) (/.f64 (*.f64 a a) (*.f64 (+.f64 a b) a)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 a a (*.f64 b b))) (*.f64 a (+.f64 a b))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (fma.f64 a a (*.f64 b b))) (*.f64 a (+.f64 a b))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))) (*.f64 a (+.f64 a b))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 a a)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))) (*.f64 a (+.f64 a b))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) (*.f64 a (+.f64 a b))) (/.f64 (/.f64 (*.f64 a a) #s(literal 1 binary64)) (*.f64 a (+.f64 a b))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 a (+.f64 a b))) (/.f64 (*.f64 a a) (*.f64 a (+.f64 a b))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 a (+.f64 a b) (*.f64 b b))) a) (/.f64 (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 a (+.f64 a b) (*.f64 b b))) a))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 a b)) a) (/.f64 (/.f64 (*.f64 a a) (+.f64 a b)) a))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (-.f64 b a) (neg.f64 a)))
(-.f64 (/.f64 b a) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 b a))) #s(literal -1 binary64)))
(+.f64 (/.f64 b a) #s(literal -1 binary64))

eval864.0ms (9%)

Memory
4.0MiB live, 660.9MiB allocated
Compiler

Compiled 53 457 to 4 658 computations (91.3% saved)

prune360.0ms (3.8%)

Memory
13.1MiB live, 666.8MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New2 311112 322
Fresh11617
Picked505
Done011
Total2 327182 345
Accuracy
100.0%
Counts
2 345 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (PI.f64)) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
83.8%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b)))
▶99.3%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (+.f64 a b)))
68.5%
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
▶99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b))))
99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)))
▶99.7%
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
99.6%
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))))
▶68.5%
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
61.7%
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
68.2%
#s(approx (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
53.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
60.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64)))
60.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
✓53.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
60.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
60.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b))))
▶60.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
Compiler

Compiled 484 to 326 computations (32.6% saved)

simplify121.0ms (1.3%)

Memory
-18.4MiB live, 215.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(/.f64 #s(literal 2 binary64) (PI.f64))
cost-diff0
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b)))
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b))))
cost-diff0
(*.f64 b a)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 b a))
cost-diff0
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
cost-diff0
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
cost-diff0
(*.f64 (*.f64 a b) (+.f64 a b))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (+.f64 a b)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) 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 (*.f64 a b) a))))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff0
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
cost-diff0
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) a) b)
Rules
6 938×lower-fma.f64
6 938×lower-fma.f32
3 794×lower-*.f32
3 772×lower-*.f64
2 396×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049285
072283
1145281
2377249
31120249
43744249
56919249
08067249
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) b)
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
b
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(+.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 (*.f64 a b) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a b) a)
(*.f64 a b)
a
b
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (+.f64 a b)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 a b) (+.f64 a b))
(*.f64 a b)
a
b
(+.f64 a b)
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
#s(literal 1 binary64)
(*.f64 b a)
b
a
#s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(/.f64 (PI.f64) b)
(PI.f64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b))))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b)))
(/.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
(*.f64 (*.f64 a b) (+.f64 a b))
(*.f64 a b)
a
b
(+.f64 a b)
Outputs
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) b)
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
b
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))
(*.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 b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a b) a)
(*.f64 a b)
a
b
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (+.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) a) b)) #s(literal 1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 a b) (+.f64 a b))
(*.f64 (*.f64 (+.f64 a b) a) b)
(*.f64 a b)
a
b
(+.f64 a b)
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
(*.f64 #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
#s(literal 1 binary64)
(*.f64 b a)
(*.f64 a b)
b
a
#s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(/.f64 (PI.f64) b)
(PI.f64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) a) b)) #s(literal 1/2 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b)))
(*.f64 (/.f64 b (PI.f64)) (*.f64 (*.f64 (+.f64 a b) a) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
(*.f64 (*.f64 a b) (+.f64 a b))
(*.f64 (*.f64 (+.f64 a b) a) b)
(*.f64 a b)
a
b
(+.f64 a b)

localize131.0ms (1.4%)

Memory
21.5MiB live, 300.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(PI.f64)
accuracy0.1328125
(*.f64 (*.f64 a b) (+.f64 a b))
accuracy0.201503759768442
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b)))
accuracy0.3873777011909339
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b))))
accuracy0.171875
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
accuracy0.24609375
(/.f64 (PI.f64) b)
accuracy0.5029320464969471
(/.f64 #s(literal 1 binary64) (*.f64 b a))
accuracy28.747909155586328
#s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
accuracy0
(*.f64 a b)
accuracy0
(PI.f64)
accuracy0.1328125
(*.f64 (*.f64 a b) (+.f64 a b))
accuracy0.3483152011909339
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (+.f64 a b)))
accuracy0.13671875
(*.f64 (*.f64 a b) a)
accuracy0.1484375
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))
accuracy0.22492796729000586
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))
accuracy25.384700540070483
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
accuracy0
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
accuracy0.171875
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
accuracy0.18359375
(/.f64 (/.f64 #s(literal 1 binary64) a) b)
accuracy0.234375
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
Samples
86.0ms256×0valid
Compiler

Compiled 241 to 40 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 33.0ms (49.7% of total)
ival-div: 27.0ms (40.6% of total)
ival-sub: 4.0ms (6% 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)

series27.0ms (0.3%)

Memory
-25.1MiB live, 57.0MiB allocated
Counts
23 → 456
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) b) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) b) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) 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 (*.f64 a b) 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 (*.f64 a b) a)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))) (patch (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (+.f64 a b))) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (+.f64 a b))) #<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 a b) (+.f64 a b)) (patch (*.f64 (*.f64 a b) (+.f64 a b)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))) (patch (*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (patch #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.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 b a) (patch (*.f64 b a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b))) (patch (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (PI.f64)) (patch (/.f64 #s(literal 2 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a b) a) (patch (*.f64 (*.f64 a b) a) #<representation binary64>) () ())
#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) b) (patch (/.f64 (PI.f64) b) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (* a b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) b) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) b) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) b) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) b) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) b) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) b) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) b) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) b) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) b) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) b) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) b) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) b) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (*.f64 (*.f64 a b) a) (patch (*.f64 (*.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (*.f64 (*.f64 a b) a) (patch (*.f64 (*.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (*.f64 (*.f64 a b) a) (patch (*.f64 (*.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (*.f64 (*.f64 a b) a) (patch (*.f64 (*.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (*.f64 (*.f64 a b) a) (patch (*.f64 (*.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (*.f64 (*.f64 a b) a) (patch (*.f64 (*.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (*.f64 (*.f64 a b) a) (patch (*.f64 (*.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (*.f64 (*.f64 a b) a) (patch (*.f64 (*.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (*.f64 (*.f64 a b) a) (patch (*.f64 (*.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf b) (#s(alt (*.f64 (*.f64 a b) a) (patch (*.f64 (*.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf b) (#s(alt (*.f64 (*.f64 a b) a) (patch (*.f64 (*.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf b) (#s(alt (*.f64 (*.f64 a b) a) (patch (*.f64 (*.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf b) (#s(alt (*.f64 (*.f64 a b) a) (patch (*.f64 (*.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 a) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 a) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 a) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 a) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf a) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf a) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf a) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf a) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf a) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf a) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf a) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf a) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 b) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 b) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 b) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 b) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor 0 a) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) (taylor 0 a) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) (taylor 0 a) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))))) (taylor 0 a) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) a)) (taylor inf a) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) (taylor inf a) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) (taylor inf a) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a) (taylor inf a) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) a)) (taylor -inf a) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) (taylor -inf a) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<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 #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<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 #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) a)) (taylor 0 b) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a))) (taylor 0 b) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 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 #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 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 #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor inf b) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) (taylor inf b) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 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 #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 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 #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor -inf b) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (taylor -inf b) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (taylor -inf b) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b)) (taylor -inf b) (#s(alt #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (patch #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (PI) b) (taylor 0 b) (#s(alt (/.f64 (PI.f64) b) (patch (/.f64 (PI.f64) b) #<representation binary64>) () ())) ())
#s(alt (/ (PI) b) (taylor 0 b) (#s(alt (/.f64 (PI.f64) b) (patch (/.f64 (PI.f64) b) #<representation binary64>) () ())) ())
#s(alt (/ (PI) b) (taylor 0 b) (#s(alt (/.f64 (PI.f64) b) (patch (/.f64 (PI.f64) b) #<representation binary64>) () ())) ())
#s(alt (/ (PI) b) (taylor 0 b) (#s(alt (/.f64 (PI.f64) b) (patch (/.f64 (PI.f64) b) #<representation binary64>) () ())) ())
#s(alt (/ (PI) b) (taylor inf b) (#s(alt (/.f64 (PI.f64) b) (patch (/.f64 (PI.f64) b) #<representation binary64>) () ())) ())
#s(alt (/ (PI) b) (taylor inf b) (#s(alt (/.f64 (PI.f64) b) (patch (/.f64 (PI.f64) b) #<representation binary64>) () ())) ())
#s(alt (/ (PI) b) (taylor inf b) (#s(alt (/.f64 (PI.f64) b) (patch (/.f64 (PI.f64) b) #<representation binary64>) () ())) ())
#s(alt (/ (PI) b) (taylor inf b) (#s(alt (/.f64 (PI.f64) b) (patch (/.f64 (PI.f64) b) #<representation binary64>) () ())) ())
#s(alt (/ (PI) b) (taylor -inf b) (#s(alt (/.f64 (PI.f64) b) (patch (/.f64 (PI.f64) b) #<representation binary64>) () ())) ())
#s(alt (/ (PI) b) (taylor -inf b) (#s(alt (/.f64 (PI.f64) b) (patch (/.f64 (PI.f64) b) #<representation binary64>) () ())) ())
#s(alt (/ (PI) b) (taylor -inf b) (#s(alt (/.f64 (PI.f64) b) (patch (/.f64 (PI.f64) b) #<representation binary64>) () ())) ())
#s(alt (/ (PI) b) (taylor -inf b) (#s(alt (/.f64 (PI.f64) b) (patch (/.f64 (PI.f64) b) #<representation binary64>) () ())) ())
Calls

114 calls:

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

simplify235.0ms (2.5%)

Memory
39.7MiB live, 268.0MiB allocated
Algorithm
1×egg-herbie
Rules
15 948×lower-fma.f64
15 948×lower-fma.f32
5 816×lower-*.f64
5 816×lower-*.f32
2 220×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02835300
17835232
222054948
341274820
461324820
081874582
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ 1 (* 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 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
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(+ (* -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))
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
Outputs
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)) b) b)) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (*.f64 b b) (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -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 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 (/.f64 a b) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a a) b) (*.f64 #s(literal 1/2 binary64) a))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a) a)) 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 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) a) (pow.f64 b #s(literal 5 binary64))))) a) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 (/.f64 b a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (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 (PI.f64) b) #s(literal 1/2 binary64))) (*.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 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) a) (*.f64 #s(literal 1/2 binary64) b))) a)) a)) (*.f64 a a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)) b) b)) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (*.f64 b b) (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -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 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 (/.f64 a b) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a a) b) (*.f64 #s(literal 1/2 binary64) a))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a) a)) 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 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) a) (pow.f64 b #s(literal 5 binary64))))) a) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 (/.f64 b a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (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 (PI.f64) b) #s(literal 1/2 binary64))) (*.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))
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(fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)))) a))
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(*.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal -1/2 binary64) b (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) b) a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a a)) b) (*.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) b) b (PI.f64)) #s(literal 1/2 binary64))) a)
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(*.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal -1/2 binary64) b (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) b) a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) 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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) b) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) a) b) b) b) #s(literal -1/2 binary64))) a)) a)) a)
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(*.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(fma.f64 (/.f64 b (*.f64 a a)) (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (PI.f64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)))) b))
(* 1/2 (/ (PI) b))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(*.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal -1/2 binary64) a (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) a) b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (/.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -1/2 binary64)) b)) (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)))) b)
(* 1/2 (/ (PI) b))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(*.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal -1/2 binary64) a (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) a) b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) 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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) a) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) b) a) a) a) #s(literal -1/2 binary64))) b)) b)) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* 1/2 (/ (PI) b))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(*.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)))) a))
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(*.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal -1/2 binary64) b (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) b) a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a a)) b) (*.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) b) b (PI.f64)) #s(literal 1/2 binary64))) a)
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(*.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal -1/2 binary64) b (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) b) a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) 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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) b) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) a) b) b) b) #s(literal -1/2 binary64))) a)) a)) a)
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(*.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(fma.f64 (/.f64 b (*.f64 a a)) (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (PI.f64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)))) b))
(* 1/2 (/ (PI) b))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(*.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal -1/2 binary64) a (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) a) b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (/.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -1/2 binary64)) b)) (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)))) b)
(* 1/2 (/ (PI) b))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(*.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal -1/2 binary64) a (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) a) b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) 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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) a) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) b) a) a) a) #s(literal -1/2 binary64))) b)) b)) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)

rewrite267.0ms (2.8%)

Memory
-30.2MiB live, 305.2MiB allocated
Rules
4 638×lower-/.f32
4 620×lower-/.f64
3 708×lower-*.f32
3 686×lower-*.f64
2 944×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049233
072229
1303229
22355229
08116229
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 681
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(/.f64 #s(literal 1 binary64) a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (+.f64 a b)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 (*.f64 a b) (+.f64 a b))
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(*.f64 b a)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b))))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b)))
(/.f64 #s(literal 2 binary64) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 (*.f64 a b) a)
(*.f64 a b)
#s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(/.f64 (PI.f64) b)
Outputs
(*.f64 (pow.f64 (/.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 (*.f64 b a) #s(literal -1/2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(pow.f64 (exp.f64 (log.f64 (*.f64 b a))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 b a) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 a (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 (neg.f64 b) a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 a) (neg.f64 b)) #s(literal -1 binary64))
(pow.f64 (*.f64 b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 b a) #s(literal -1 binary64))
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(pow.f64 (*.f64 (/.f64 (+.f64 b a) (PI.f64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.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 (PI.f64) (+.f64 b a))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (+.f64 b a))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (+.f64 b a) #s(literal -2 binary64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (neg.f64 (neg.f64 (+.f64 b a)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (PI.f64)) (neg.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)) (*.f64 (+.f64 b a) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 b a) (PI.f64)) #s(literal 2 binary64)) #s(literal 1 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) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (+.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) (*.f64 #s(literal 2 binary64) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (+.f64 b a) (PI.f64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 b a) (PI.f64)) #s(literal 2 binary64)) #s(literal 1 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) (PI.f64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (+.f64 b a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 b a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (+.f64 b a)))
(-.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))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 b a) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 b a) a)
(*.f64 (*.f64 a a) b)
(*.f64 b (*.f64 a a))
(*.f64 a (*.f64 b a))
(*.f64 (/.f64 b #s(literal -1 binary64)) (neg.f64 a))
(*.f64 (*.f64 b a) #s(literal 1 binary64))
(*.f64 b a)
(*.f64 a b)
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 b) a)) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64))
(/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a))))
(/.f64 (*.f64 b a) #s(literal 1 binary64))
(/.f64 b (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) a)) (/.f64 b (/.f64 #s(literal -1 binary64) a)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b a) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 b a)) #s(literal -1 binary64))))
#s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (PI.f64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) b))
(pow.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (PI.f64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1 binary64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 b)))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (PI.f64))))
(/.f64 (PI.f64) b)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (PI.f64)))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) b))
(neg.f64 (/.f64 (PI.f64) (neg.f64 b)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (PI.f64) (neg.f64 b)))
(exp.f64 (+.f64 (neg.f64 (log.f64 b)) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (neg.f64 (log.f64 b))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (PI.f64))) #s(literal -1 binary64)))

eval184.0ms (1.9%)

Memory
26.9MiB live, 456.5MiB allocated
Compiler

Compiled 23 479 to 2 309 computations (90.2% saved)

prune199.0ms (2.1%)

Memory
-10.6MiB live, 429.3MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1 42091 429
Fresh6612
Picked325
Done011
Total1 429181 447
Accuracy
100.0%
Counts
1 447 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) (+.f64 b a))
99.6%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (PI.f64)) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
93.3%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) a) b))
✓99.3%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (+.f64 a b)))
81.9%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (* (* a b) (+ a b)) (*.f64 (fma.f64 (/.f64 a b) a a) (*.f64 b b))))
61.7%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (* (* a b) (+ a b)) (*.f64 (*.f64 b b) a)))
68.5%
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) b) a)))
99.6%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
92.4%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (+.f64 b a) b))) (PI.f64))
68.2%
#s(approx (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
53.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
60.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
60.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64)))
✓53.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
60.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
60.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))))
✓60.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
Compiler

Compiled 1 150 to 364 computations (68.3% saved)

regimes55.0ms (0.6%)

Memory
-2.6MiB live, 110.5MiB allocated
Counts
61 → 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 (*.f64 a 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 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (* (* a b) (+ a b)) (*.f64 (*.f64 b b) a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (+.f64 a b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 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))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (+.f64 b a) b))) (PI.f64))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) (+.f64 b a))
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64)))
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) b) a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (PI.f64)) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) #s(approx (/ (- b a) b) #s(literal 1 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (* (* a b) (+ a b)) (*.f64 (fma.f64 (/.f64 a b) a a) (*.f64 b b))))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b)))
#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 b b)))
#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 a a)))
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(*.f64 (/.f64 #s(approx (/ (- b a) (* a b)) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(*.f64 (/.f64 #s(approx (/ (- b a) (* a b)) (/.f64 #s(literal 1 binary64) a)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) b))) (+.f64 a b))
(/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (PI.f64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 a b))))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) (/.f64 (-.f64 b a) b))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (PI.f64)) (-.f64 b a)))
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) b)) #s(literal -1/2 binary64)) a)) a))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 b a) (*.f64 a b)))))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a))
Outputs
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
Calls

3 calls:

18.0ms
b
17.0ms
a
17.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
99.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes35.0ms (0.4%)

Memory
-11.0MiB live, 43.8MiB allocated
Counts
36 → 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 (*.f64 a 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 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (* (* a b) (+ a b)) (*.f64 (*.f64 b b) a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (+.f64 a b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 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))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (+.f64 b a) b))) (PI.f64))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) (+.f64 b a))
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64)))
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) b) a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (+.f64 a b))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (PI.f64)) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) #s(approx (/ (- b a) b) #s(literal 1 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (* (* a b) (+ a b)) (*.f64 (fma.f64 (/.f64 a b) a a) (*.f64 b b))))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b)))
#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 b b)))
#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 a a)))
Outputs
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) (+.f64 b a))
Calls

3 calls:

14.0ms
b
10.0ms
a
9.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
99.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes71.0ms (0.7%)

Memory
-12.4MiB live, 24.4MiB 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 (*.f64 a 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 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (* (* a b) (+ a b)) (*.f64 (*.f64 b b) a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (+.f64 a b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 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))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (+.f64 b a) b))) (PI.f64))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
Outputs
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
Calls

3 calls:

58.0ms
a
6.0ms
b
6.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.6%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)

regimes18.0ms (0.2%)

Memory
30.8MiB live, 30.8MiB allocated
Counts
19 → 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 (*.f64 a 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 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (* (* a b) (+ a b)) (*.f64 (*.f64 b b) a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (+.f64 a b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 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))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (+.f64 b a) b))) (PI.f64))
Outputs
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (+.f64 a b)))
Calls

3 calls:

6.0ms
b
6.0ms
a
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
99.3%1a
99.3%1b
99.3%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes15.0ms (0.2%)

Memory
-16.1MiB live, 19.7MiB allocated
Counts
9 → 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 (*.f64 a 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 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (* (* a b) (+ a b)) (*.f64 (*.f64 b b) 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 (*.f64 a b) a))))
#s(approx (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
Calls

3 calls:

7.0ms
(*.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
93.4%2a
90.8%2b
70.2%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)

regimes6.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
6 → 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 (*.f64 a 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 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b 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 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
Calls

2 calls:

3.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
84.3%2b
86.8%2a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
4 → 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 (*.f64 a 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 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
Calls

3 calls:

2.0ms
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
60.1%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
60.1%1b
60.1%1a
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes8.0ms (0.1%)

Memory
-27.5MiB live, 9.1MiB 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 (*.f64 a a) b))))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
Calls

3 calls:

5.0ms
b
1.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
1.0ms
a
Results
AccuracySegmentsBranch
54.0%1a
54.0%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
54.0%1b
Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch20.0ms (0.2%)

Memory
31.2MiB live, 31.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
-6.883232953384721e-74
-2.4876674599813004e-79
Samples
13.0ms144×0valid
Compiler

Compiled 260 to 182 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (42.3% of total)
ival-mult: 3.0ms (31.7% of total)
ival-pi: 1.0ms (10.6% of total)
ival-sub: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory
-42.5MiB live, 2.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
6.0ms
-6.883232953384721e-74
-2.4876674599813004e-79
Compiler

Compiled 260 to 182 computations (30% saved)

simplify7.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB 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
070250
190250
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) (+.f64 b a))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (+.f64 a b)))
(if (<=.f64 a #s(literal -4328701449710783/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) #s(approx (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))))
(if (<=.f64 a #s(literal -2132522037725165/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #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 (*.f64 a 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 (*.f64 a a) b))))
Outputs
(*.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 a b)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) (+.f64 b a))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) (+.f64 a b))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (+.f64 a b)))
(if (<=.f64 a #s(literal -4328701449710783/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) #s(approx (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))))
(if (<=.f64 a #s(literal -4328701449710783/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64))) #s(approx (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) b)) (PI.f64))))
(if (<=.f64 a #s(literal -2132522037725165/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -2132522037725165/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #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 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))

soundness1.2s (12.1%)

Memory
54.6MiB live, 1 028.2MiB allocated
Rules
21 016×lower-fma.f64
21 016×lower-fma.f32
12 618×lower-fma.f64
12 618×lower-fma.f32
11 332×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04735685
113705439
243555157
083255039
01553
02649
112449
2112349
0919349
046261
073257
1355257
23806257
08746257
02911696
17681666
222951612
363831612
083411525
049233
072229
1303229
22355229
08116229
07147802
121516934
081426604
047250
071246
1327208
22941208
08765208
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node 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
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 578 to 322 computations (44.3% saved)

preprocess410.0ms (4.3%)

Memory
-23.1MiB live, 230.1MiB allocated
Compiler

Compiled 472 to 240 computations (49.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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