NMSE Section 6.1 mentioned, B

Time bar (total: 11.1s)

analyze101.0ms (0.9%)

Memory
11.9MiB live, 87.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
12.5%12.5%87.4%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
46.9%46.8%53.1%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
71.1%71%28.9%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
85%84.9%15%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.2s (10.4%)

Memory
19.2MiB live, 1 746.8MiB allocated
Samples
808.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 602.0ms
ival-div: 270.0ms (44.9% of total)
ival-mult: 202.0ms (33.6% of total)
ival-sub: 77.0ms (12.8% of total)
ival-pi: 35.0ms (5.8% of total)
exact: 8.0ms (1.3% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess349.0ms (3.2%)

Memory
-11.9MiB live, 476.6MiB allocated
Algorithm
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
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
Symmetry

(sort a b)

explain174.0ms (1.6%)

Memory
18.6MiB live, 337.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
270-1(3.2217398453174146e-132 1.4498046100825657e+160)(*.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)))
110-0-(-.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*u260
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue110
(*.f64 b b)overflow60
(*.f64 a a)overflow65
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o40
(*.f64 b b)overflow60
(*.f64 a a)overflow65
(-.f64 (*.f64 b b) (*.f64 a a))overflow114
Confusion
Predicted +Predicted -
+403
-1212
Precision
0.975609756097561
Recall
0.9302325581395349
Confusion?
Predicted +Predicted MaybePredicted -
+4003
-10212
Precision?
0.975609756097561
Recall?
0.9302325581395349
Freqs
test
numberfreq
0215
141
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
55.0ms512×0valid
Compiler

Compiled 204 to 64 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 14.0ms (42.6% of total)
ival-mult: 11.0ms (33.4% of total)
ival-sub: 4.0ms (12.2% of total)
ival-pi: 2.0ms (6.1% of total)
exact: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.6%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify286.0ms (2.6%)

Memory
-33.4MiB live, 350.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 b b) (*.f64 a a))
cost-diff320
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
cost-diff320
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
cost-diff384
(/.f64 (PI.f64) #s(literal 2 binary64))
Rules
8 062×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
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
#s(literal 1 binary64)
(-.f64 (*.f64 b b) (*.f64 a a))
(*.f64 b b)
b
(*.f64 a a)
a
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (PI.f64) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (-.f64 a b)))
#s(literal 1 binary64)
(-.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (+.f64 b a) (-.f64 b a))
(*.f64 b b)
b
(*.f64 a a)
a
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)

localize46.0ms (0.4%)

Memory
1.9MiB live, 79.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
accuracy98.9%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
accuracy96.1%
(-.f64 (*.f64 b b) (*.f64 a a))
accuracy90.0%
(*.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)))
Samples
26.0ms256×0valid
Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (40.5% of total)
ival-mult: 7.0ms (40.5% of total)
ival-sub: 2.0ms (11.6% of total)
ival-pi: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#<alt (/.f64 (PI.f64) #s(literal 2 binary64))>
#<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)))>
#<alt (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))>
#<alt (-.f64 (*.f64 b b) (*.f64 a a))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))>
#<alt (* -1 (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (/ -1 (pow a 2))>
#<alt (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))>
#<alt (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))>
#<alt (+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (/ -1 (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))>
#<alt (/ -1 (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))>
Calls

24 calls:

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

rewrite360.0ms (3.3%)

Memory
10.3MiB live, 516.8MiB allocated
Algorithm
batch-egg-rewrite
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
iter limit
node limit
iter limit
Counts
5 → 583
Calls
Call 1
Inputs
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 b b) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a)))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(fma.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(fma.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a) #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
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(fma.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (*.f64 b (*.f64 b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 b (*.f64 b (*.f64 b b)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 b (*.f64 b (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 a a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 a a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 b b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (fma.f64 b (neg.f64 b) (*.f64 a a)))
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))
(/.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))) (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))))
(/.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b (neg.f64 b) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) (+.f64 (neg.f64 b) a))
(pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64)))
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))))
(*.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 b b (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)))

simplify467.0ms (4.2%)

Memory
5.8MiB live, 682.6MiB allocated
Algorithm
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
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* -1 (pow a 2))
(- (pow b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(pow b 2)
(+ (* -1 (pow a 2)) (pow b 2))
(+ (* -1 (pow a 2)) (pow b 2))
(+ (* -1 (pow a 2)) (pow b 2))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(/ -1 (pow a 2))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ 1 (pow b 2))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ -1 (pow a 2))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/ -1 (pow a 2))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 (PI.f64) (*.f64 (/.f64 b (*.f64 a (*.f64 a a))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (PI.f64) (*.f64 a a))) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (*.f64 a (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 a (*.f64 b b)) (/.f64 (PI.f64) a)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) a) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) b)) (*.f64 b b))
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(/.f64 #s(literal -1 binary64) (*.f64 a a))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (neg.f64 a)))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))

eval83.0ms (0.8%)

Memory
33.9MiB live, 221.0MiB allocated
Compiler

Compiled 22 370 to 2 044 computations (90.9% saved)

prune102.0ms (0.9%)

Memory
-29.0MiB live, 308.1MiB allocated
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New65623679
Fresh000
Picked101
Done000
Total65723680
Accuracy
100.0%
Counts
680 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.5%
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
51.3%
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b))
53.8%
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 a a))
83.1%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
79.8%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 b (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
88.7%
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 b a))
49.5%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
50.7%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
57.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
64.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
76.7%
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)) b) a))
99.6%
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
83.1%
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
89.1%
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))))
99.6%
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 b a)))))
83.1%
(*.f64 (-.f64 b a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
99.6%
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
83.0%
(*.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))))
79.6%
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))))))
83.6%
(*.f64 (*.f64 (*.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 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
50.7%
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
89.0%
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 (-.f64 b a) (*.f64 b a))))
Compiler

Compiled 962 to 588 computations (38.9% saved)

simplify350.0ms (3.2%)

Memory
-39.1MiB live, 421.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 b a)
cost-diff0
(/.f64 (-.f64 b a) (*.f64 b a))
cost-diff384
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
cost-diff1408
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
cost-diff384
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
cost-diff384
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
cost-diff64
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
cost-diff384
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
cost-diff0
(*.f64 a (*.f64 a b))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (+.f64 b a))
cost-diff384
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
cost-diff1408
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))
Rules
8 314×lower-fma.f64
8 314×lower-fma.f32
4 874×lower-*.f32
4 850×lower-*.f64
3 380×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032239
059237
1126237
2331237
31051213
43524212
08383212
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(+.f64 b a)
b
a
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
(-.f64 b a)
(/.f64 (-.f64 b a) (*.f64 b a))
(*.f64 b a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(*.f64 a (*.f64 a b))
a
(*.f64 a b)
b
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
(PI.f64)
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(*.f64 a a)
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(PI.f64)
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
#s(literal -1/2 binary64)
(*.f64 a a)
a
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
b
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
(/.f64 (-.f64 b a) (*.f64 b a))
(-.f64 b a)
b
a
(*.f64 b a)
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(+.f64 b a)
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
Outputs
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a))))
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(+.f64 b a)
b
a
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
(-.f64 b a)
(/.f64 (-.f64 b a) (*.f64 b a))
(*.f64 b a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
(*.f64 a (*.f64 a b))
(*.f64 b (*.f64 a a))
a
(*.f64 a b)
(*.f64 b a)
b
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 a a) (*.f64 b a))))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) (*.f64 b a))
(PI.f64)
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 b a))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(*.f64 a a)
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 a a) (*.f64 b a))))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a a))
(PI.f64)
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
#s(literal -1/2 binary64)
(*.f64 a a)
a
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (-.f64 b a) (*.f64 b a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
b
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a))))
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a (*.f64 b (+.f64 b a))))
(/.f64 (-.f64 b a) (*.f64 b a))
(-.f64 b a)
b
a
(*.f64 b a)
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(+.f64 b a)
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)

localize115.0ms (1%)

Memory
21.3MiB live, 257.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
accuracy99.7%
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
accuracy99.6%
(/.f64 (PI.f64) (+.f64 b a))
accuracy78.8%
(/.f64 (-.f64 b a) (*.f64 b a))
accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
accuracy99.7%
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
accuracy98.7%
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
accuracy95.4%
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
accuracy100.0%
(PI.f64)
accuracy100.0%
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
accuracy99.4%
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
accuracy94.7%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (PI.f64))
accuracy100.0%
(PI.f64)
accuracy99.8%
(*.f64 a (*.f64 a b))
accuracy99.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
accuracy99.8%
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
accuracy99.6%
(/.f64 (PI.f64) (+.f64 b a))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))
accuracy78.8%
(/.f64 (-.f64 b a) (*.f64 b a))
Samples
65.0ms256×0valid
Compiler

Compiled 241 to 34 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 20.0ms (47.9% of total)
ival-div: 15.0ms (35.9% of total)
ival-sub: 2.0ms (4.8% of total)
ival-add: 2.0ms (4.8% of total)
ival-pi: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
-4.4MiB live, 75.7MiB allocated
Counts
18 → 360
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))>
#<alt (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))>
#<alt (/.f64 (PI.f64) (+.f64 b a))>
#<alt (PI.f64)>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))>
#<alt (*.f64 #s(literal 1/2 binary64) (PI.f64))>
#<alt (*.f64 a (*.f64 a b))>
#<alt (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))>
#<alt (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))>
#<alt (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))>
#<alt (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))>
#<alt (*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))>
#<alt (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))>
#<alt (/.f64 (-.f64 b a) (*.f64 b a))>
#<alt (-.f64 b a)>
#<alt (/.f64 #s(literal -1/2 binary64) (*.f64 a a))>
Outputs
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
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#<alt (/ -1 b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (* -1 a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt b>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt b>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (* -1 a)>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
#<alt (/ -1/2 (pow a 2))>
Calls

90 calls:

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

rewrite435.0ms (3.9%)

Memory
27.6MiB live, 457.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 054×lower-*.f32
5 030×lower-*.f64
4 796×lower-/.f32
4 776×lower-/.f64
2 518×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032160
059160
1257160
22544136
08178136
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 217
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 a (*.f64 a b))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
(/.f64 (-.f64 b a) (*.f64 b a))
(-.f64 b a)
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
Outputs
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 b (neg.f64 a))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (/.f64 (*.f64 b a) (-.f64 b a)))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (neg.f64 (-.f64 b a)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (*.f64 b a) (-.f64 b a)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 b (neg.f64 a)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (-.f64 b a)) (/.f64 (*.f64 b a) (-.f64 b a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (neg.f64 (-.f64 b a))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (-.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a)))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (-.f64 b a))))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 b))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (*.f64 b a) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (*.f64 b a) (-.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b a) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b a) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 b a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a)) (-.f64 b a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 b a))) (*.f64 (-.f64 b a) (*.f64 b (neg.f64 a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b a) b)) (*.f64 (-.f64 b a) a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (neg.f64 (-.f64 b a)) (*.f64 b a)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 b a))) (*.f64 (neg.f64 (-.f64 b a)) (*.f64 b (neg.f64 a))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b a) b)) (*.f64 (neg.f64 (-.f64 b a)) a))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 b a))) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b (neg.f64 a))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) b)) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) a))
(/.f64 (*.f64 (-.f64 b a) #s(literal -1/2 binary64)) (*.f64 (*.f64 b a) (neg.f64 (-.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 b (neg.f64 a)) (-.f64 b a)))
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 (-.f64 b a))))
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) #s(literal 1 binary64)) (*.f64 (*.f64 b (neg.f64 a)) (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal 1/2 binary64)) (*.f64 a (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal -1/2 binary64)) (*.f64 a (neg.f64 (-.f64 b a))))
(/.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal 1 binary64)) (*.f64 a (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 (*.f64 (-.f64 b a) (*.f64 b a))))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) #s(literal 1 binary64)) (*.f64 (-.f64 b a) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64)) (/.f64 (*.f64 b a) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (neg.f64 (-.f64 b a))) (*.f64 b (neg.f64 a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) b)) a)
(/.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) #s(literal -1/2 binary64)) (neg.f64 (-.f64 b a)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b a) (*.f64 b a))) (neg.f64 (-.f64 b a)))
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (*.f64 b (neg.f64 a)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) a)
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 (/.f64 (*.f64 b a) (-.f64 b a))))
(/.f64 (neg.f64 (/.f64 (-.f64 b a) (*.f64 b a))) (neg.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 b a)))) (neg.f64 (*.f64 (-.f64 b a) (*.f64 b (neg.f64 a)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b a) b))) (neg.f64 (*.f64 (-.f64 b a) a)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a))) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (*.f64 b a))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 b a)))) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (*.f64 b (neg.f64 a)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b a) b))) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 b a))) (neg.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b a))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 b a)))) (neg.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b (neg.f64 a)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) b))) (neg.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) a)))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (*.f64 b a) (neg.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (*.f64 b (neg.f64 a)) (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 b (neg.f64 a)) (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal 1/2 binary64))) (neg.f64 (*.f64 a (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal -1/2 binary64))) (neg.f64 (*.f64 a (neg.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) b) #s(literal 1 binary64))) (neg.f64 (*.f64 a (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))) (neg.f64 (neg.f64 (*.f64 (-.f64 b a) (*.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a)))) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 b a) (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (neg.f64 (-.f64 b a)))) (neg.f64 (*.f64 b (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) b))) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b a) (*.f64 b a)))) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) (neg.f64 (*.f64 b (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) (neg.f64 a))
(pow.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (*.f64 b a) (-.f64 b a))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b a) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (-.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 b a) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a))) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (*.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)))
(*.f64 (-.f64 b a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 b a))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) (/.f64 (-.f64 b a) a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a) (/.f64 (-.f64 b a) b))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (PI.f64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (PI.f64)))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(/.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (-.f64 b a) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b a) (/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 (*.f64 b a) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (*.f64 b a) (neg.f64 (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (+.f64 b a)) (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (*.f64 b (*.f64 a (+.f64 b a)))))
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(/.f64 (neg.f64 (-.f64 b a)) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)) (fma.f64 b b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b (neg.f64 a)))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (+.f64 b a))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 b (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (-.f64 b (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (neg.f64 (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b (neg.f64 a))))))
(/.f64 (-.f64 (neg.f64 b) (neg.f64 a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 (neg.f64 (+.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (neg.f64 (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a))))))
(pow.f64 (/.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal -1 binary64))
(*.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (+.f64 b a)))))
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
(*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 a a)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 a a)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (*.f64 a a))))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) a)
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a (*.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) a))) (neg.f64 (neg.f64 a)))
(pow.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) #s(literal -1 binary64))
(pow.f64 (/.f64 a (/.f64 #s(literal -1/2 binary64) a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a a))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1/2 binary64))

simplify658.0ms (5.9%)

Memory
-13.3MiB live, 609.8MiB allocated
Algorithm
egg-herbie
Rules
12 514×lower-fma.f64
12 514×lower-fma.f32
4 222×lower-*.f64
4 222×lower-*.f32
3 554×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04194074
112143905
232803717
081653612
Stop Event
iter limit
node limit
Counts
360 → 357
Calls
Call 1
Inputs
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (PI) a)
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(/ (PI) b)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/ (PI) b)
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/ (PI) a)
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(* -1/2 (/ (PI) (pow a 3)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* -1/2 (/ (PI) (pow a 3)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/ -1/2 a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(/ 1/2 b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ -1/2 a)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(/ -1/2 a)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(* -1/2 (/ (PI) a))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(* 1/2 (/ (PI) b))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(* -1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(* -1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(* -1/2 (/ (PI) (pow a 3)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* -1/2 (/ (PI) (pow a 3)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* -1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (/ (PI) (* a b)))
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (PI) (* a b))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)
(/ (PI) (* a b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(/ (PI) (* a b))
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(* -1 (/ (PI) (* a b)))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)
(* -1 (/ (PI) (* a b)))
(* -1 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a))
(/ -1 b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(* -1 a)
(- b a)
(- b a)
(- b a)
b
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
b
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
b
(+ b (* -1 a))
(+ b (* -1 a))
(+ b (* -1 a))
(* -1 a)
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
(/ -1/2 (pow a 2))
Outputs
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (PI.f64))) (*.f64 a (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a #s(literal 4 binary64))) b (/.f64 (PI.f64) (*.f64 a a))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (PI.f64))) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a a))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) a)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (PI.f64)) b)) (neg.f64 b))) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 a (fma.f64 (*.f64 a (PI.f64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) 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) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 b (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.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 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) a) (*.f64 #s(literal 1/2 binary64) (*.f64 b (PI.f64)))) a)) (neg.f64 a))) (*.f64 a a))
(/ (PI) a)
(/.f64 (PI.f64) a)
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(/.f64 (-.f64 (PI.f64) (/.f64 (*.f64 b (PI.f64)) a)) a)
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(fma.f64 b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 #s(literal -1 binary64) (/.f64 b a))) (/.f64 (PI.f64) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(fma.f64 b (fma.f64 b (/.f64 (*.f64 b (neg.f64 (PI.f64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 #s(literal -1 binary64) (/.f64 b a)))) (/.f64 (PI.f64) a))
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/.f64 (fma.f64 a (/.f64 (PI.f64) (neg.f64 b)) (PI.f64)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/.f64 (fma.f64 a (/.f64 (fma.f64 a (/.f64 (PI.f64) b) (neg.f64 (PI.f64))) b) (PI.f64)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/.f64 (+.f64 (PI.f64) (/.f64 (neg.f64 (fma.f64 a (PI.f64) (/.f64 (*.f64 a (*.f64 a (fma.f64 a (/.f64 (PI.f64) b) (neg.f64 (PI.f64))))) b))) b)) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(/.f64 (fma.f64 a (/.f64 (PI.f64) (neg.f64 b)) (PI.f64)) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(/.f64 (fma.f64 a (/.f64 (fma.f64 a (/.f64 (PI.f64) b) (neg.f64 (PI.f64))) b) (PI.f64)) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/.f64 (+.f64 (PI.f64) (/.f64 (neg.f64 (fma.f64 a (PI.f64) (/.f64 (*.f64 a (*.f64 a (fma.f64 a (/.f64 (PI.f64) b) (neg.f64 (PI.f64))))) b))) b)) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(/.f64 (fma.f64 a (/.f64 (PI.f64) (neg.f64 b)) (PI.f64)) b)
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 #s(literal -1 binary64) (/.f64 a b))) (/.f64 (PI.f64) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 a (neg.f64 (PI.f64))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 #s(literal -1 binary64) (/.f64 a b)))) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/.f64 (-.f64 (PI.f64) (/.f64 (*.f64 b (PI.f64)) a)) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (-.f64 (/.f64 (*.f64 b b) a) b) (PI.f64)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/.f64 (+.f64 (PI.f64) (/.f64 (neg.f64 (fma.f64 b (PI.f64) (/.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 b (PI.f64)) a) (PI.f64))) a))) a)) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(/.f64 (-.f64 (PI.f64) (/.f64 (*.f64 b (PI.f64)) a)) a)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (-.f64 (/.f64 (*.f64 b b) a) b) (PI.f64)) a)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(/.f64 (+.f64 (PI.f64) (/.f64 (neg.f64 (fma.f64 b (PI.f64) (/.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 b (PI.f64)) a) (PI.f64))) a))) a)) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
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(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b)
(/ (- (/ b a) 1) b)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b)
(/ (- (/ b a) 1) b)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(* -1 a)
(neg.f64 a)
(- b a)
(-.f64 b a)
(- b a)
(-.f64 b a)
(- b a)
(-.f64 b a)
b
(* b (+ 1 (* -1 (/ a b))))
(-.f64 b (*.f64 (/.f64 a b) b))
(* b (+ 1 (* -1 (/ a b))))
(-.f64 b (*.f64 (/.f64 a b) b))
(* b (+ 1 (* -1 (/ a b))))
(-.f64 b (*.f64 (/.f64 a b) b))
b
(* -1 (* b (- (/ a b) 1)))
(-.f64 b (*.f64 (/.f64 a b) b))
(* -1 (* b (- (/ a b) 1)))
(-.f64 b (*.f64 (/.f64 a b) b))
(* -1 (* b (- (/ a b) 1)))
(-.f64 b (*.f64 (/.f64 a b) b))
b
(+ b (* -1 a))
(-.f64 b a)
(+ b (* -1 a))
(-.f64 b a)
(+ b (* -1 a))
(-.f64 b a)
(* -1 a)
(neg.f64 a)
(* a (- (/ b a) 1))
(-.f64 (/.f64 (*.f64 a b) a) a)
(* a (- (/ b a) 1))
(-.f64 (/.f64 (*.f64 a b) a) a)
(* a (- (/ b a) 1))
(-.f64 (/.f64 (*.f64 a b) a) a)
(* -1 a)
(neg.f64 a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(-.f64 (/.f64 (*.f64 a b) a) a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(-.f64 (/.f64 (*.f64 a b) a) a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(-.f64 (/.f64 (*.f64 a b) a) a)
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))

eval588.0ms (5.3%)

Memory
28.9MiB live, 521.3MiB allocated
Compiler

Compiled 44 605 to 4 362 computations (90.2% saved)

prune681.0ms (6.2%)

Memory
-83.5MiB live, 520.1MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New2 061162 077
Fresh17118
Picked415
Done000
Total2 082182 100
Accuracy
100.0%
Counts
2 100 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.1%
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a)
64.1%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b a))
99.6%
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (PI.f64)))
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 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a))
64.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) a)
58.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
94.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
57.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
64.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
99.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a)))
99.4%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
99.7%
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))
99.6%
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
68.2%
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
59.0%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
64.1%
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (neg.f64 a)))))
58.9%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
Compiler

Compiled 459 to 320 computations (30.3% saved)

simplify190.0ms (1.7%)

Memory
29.0MiB live, 306.5MiB allocated
Algorithm
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)) a)
cost-diff384
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)
cost-diff384
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a)
cost-diff0
(*.f64 a b)
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 a b))
cost-diff384
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
cost-diff0
(*.f64 a a)
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 a a))
cost-diff384
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
cost-diff0
(*.f64 b (*.f64 a a))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (+.f64 b a))
cost-diff0
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64))
cost-diff384
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a))
Rules
2 774×lower-fma.f64
2 774×lower-fma.f32
2 574×lower-*.f32
2 556×lower-*.f64
1 936×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025144
047144
187144
2174144
3309144
4444144
5611144
61150144
72256144
84141144
95905144
107319144
08113144
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(+.f64 b a)
b
a
#s(literal 1/2 binary64)
(*.f64 b a)
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
#s(literal 1/2 binary64)
(*.f64 b (*.f64 a a))
b
(*.f64 a a)
a
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (PI.f64) (*.f64 a a))
(PI.f64)
(*.f64 a a)
a
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
(*.f64 a b)
a
b
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
(-.f64 b a)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
a
b
Outputs
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(+.f64 b a)
b
a
#s(literal 1/2 binary64)
(*.f64 b a)
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
#s(literal 1/2 binary64)
(*.f64 b (*.f64 a a))
b
(*.f64 a a)
a
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (PI.f64) (*.f64 a a))
(PI.f64)
(*.f64 a a)
a
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (-.f64 b a))))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 b a))
(PI.f64)
(*.f64 a b)
(*.f64 b a)
a
b
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
(-.f64 b a)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
a
b

localize88.0ms (0.8%)

Memory
9.9MiB live, 241.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(PI.f64)
accuracy99.9%
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a)
accuracy99.8%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)
accuracy99.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
accuracy100.0%
(PI.f64)
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
accuracy99.8%
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
accuracy98.8%
(/.f64 (PI.f64) (*.f64 a b))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(PI.f64)
accuracy98.6%
(/.f64 (PI.f64) (*.f64 a a))
accuracy89.1%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
accuracy100.0%
(PI.f64)
accuracy99.8%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
accuracy99.7%
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
accuracy89.2%
(*.f64 b (*.f64 a a))
accuracy100.0%
(PI.f64)
accuracy100.0%
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64))
accuracy99.7%
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a))
accuracy99.6%
(/.f64 (PI.f64) (+.f64 b a))
Samples
52.0ms256×0valid
Compiler

Compiled 146 to 27 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 16.0ms (48.8% of total)
ival-mult: 12.0ms (36.6% of total)
ival-pi: 1.0ms (3% of total)
ival-sub: 1.0ms (3% of total)
ival-add: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
-24.5MiB live, 55.9MiB allocated
Counts
18 → 348
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a))>
#<alt (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64))>
#<alt (/.f64 (PI.f64) (+.f64 b a))>
#<alt (PI.f64)>
#<alt (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))>
#<alt (*.f64 b (*.f64 a a))>
#<alt (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))>
#<alt (/.f64 (PI.f64) (*.f64 a a))>
#<alt (*.f64 a a)>
#<alt (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))>
#<alt (/.f64 (PI.f64) (*.f64 a b))>
#<alt (*.f64 a b)>
#<alt (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a)>
#<alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)>
#<alt (*.f64 #s(literal 1/2 binary64) (PI.f64))>
#<alt (/.f64 #s(literal 1/2 binary64) (-.f64 b a))>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))>
#<alt (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))>
#<alt (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))>
#<alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))>
#<alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))>
#<alt (/ (PI) a)>
#<alt (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))>
#<alt (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))>
#<alt (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))>
#<alt (/ (PI) b)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)>
#<alt (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)>
#<alt (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)>
#<alt (/ (PI) b)>
#<alt (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))>
#<alt (/ (PI) b)>
#<alt (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))>
#<alt (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))>
#<alt (/ (PI) a)>
#<alt (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)>
#<alt (/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)>
#<alt (/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)>
#<alt (/ (PI) a)>
#<alt (* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* a (PI)) (pow b 5)))))))) a)>
#<alt (* -1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3)))))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) (* -1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* -1/2 (/ (* (pow b 2) (PI)) a))) a)) (* 1/2 (PI))) a)) (* -1/2 (/ (PI) b))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (PI)) (pow a 3)))) b)>
#<alt (/ (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* b (PI)) (pow a 5)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow b 2))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 3)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* a (PI)) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ -1/2 a)>
#<alt (- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))>
#<alt (- (* b (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))>
#<alt (- (* b (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))>
#<alt (/ 1/2 b)>
#<alt (/ (+ 1/2 (* 1/2 (/ a b))) b)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* -1/2 (/ a b))) b)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ a b)) (* -1/2 (/ (pow a 2) (pow b 2))))) b)>
#<alt (/ 1/2 b)>
#<alt (* -1 (/ (- (* -1/2 (/ a b)) 1/2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* -1/2 a)) b)) 1/2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* -1/2 a)) b)) 1/2) b))>
#<alt (/ 1/2 b)>
#<alt (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))>
#<alt (/ -1/2 a)>
#<alt (/ (- (* -1/2 (/ b a)) 1/2) a)>
#<alt (/ (- (* -1/2 (/ (pow b 2) (pow a 2))) (+ 1/2 (* 1/2 (/ b a)))) a)>
#<alt (/ (- (* -1/2 (/ (pow b 3) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ b a)) (* 1/2 (/ (pow b 2) (pow a 2)))))) a)>
#<alt (/ -1/2 a)>
#<alt (* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a))) a))>
Calls

87 calls:

TimeVariablePointExpression
5.0ms
b
@inf
(/ 1/2 (* b (* a a)))
3.0ms
b
@-inf
(/ 1/2 (- b a))
2.0ms
a
@0
(* (/ (PI) (+ b a)) 1/2)
0.0ms
b
@0
(/ 1/2 (* b (* a a)))
0.0ms
a
@0
(* (/ (PI) (* a b)) (/ 1/2 (- b a)))

rewrite223.0ms (2%)

Memory
-2.3MiB live, 479.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 656×lower-*.f32
4 638×lower-*.f64
4 258×lower-/.f32
4 238×lower-/.f64
1 632×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025110
047110
1189110
21323110
08044110
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 173
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
(*.f64 b (*.f64 a a))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (PI.f64) (*.f64 a a))
(*.f64 a a)
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (PI.f64) (*.f64 a b))
(*.f64 a b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 a (*.f64 b #s(literal 2 binary64))) (/.f64 (+.f64 b a) (PI.f64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 b a) (-.f64 (neg.f64 b) a))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))))
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))))
(neg.f64 (*.f64 (neg.f64 (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a (+.f64 b a)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (neg.f64 (/.f64 (PI.f64) (+.f64 b a)))))
(neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) (/.f64 #s(literal -1/2 binary64) b)))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (+.f64 b a)))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (+.f64 b a))) (neg.f64 a)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 b #s(literal 2 binary64))) (/.f64 (+.f64 b a) (PI.f64)))))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (+.f64 b a))) a))
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 a (*.f64 b #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (PI.f64))))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 b a) (-.f64 (neg.f64 b) a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 b a)) (-.f64 (neg.f64 b) a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a))))
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64)))) (+.f64 b a))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 b #s(literal 2 binary64))) (/.f64 (+.f64 b a) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b a) (-.f64 (neg.f64 b) a)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) a) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a)))))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (neg.f64 (*.f64 b (+.f64 b a))))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 (+.f64 b a) (neg.f64 b)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (PI.f64)))))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 b a)) (neg.f64 (*.f64 b a)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (-.f64 (neg.f64 b) a))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (*.f64 b a) (-.f64 (neg.f64 b) a)))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (*.f64 b a)) (+.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 b a) (neg.f64 (*.f64 b a))))
(/.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (/.f64 (+.f64 b a) (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (+.f64 b a) (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (+.f64 b a) (PI.f64))))
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 b a)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (+.f64 b a))) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (PI.f64)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a (/.f64 (+.f64 b a) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (*.f64 b (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (+.f64 b a))) (neg.f64 a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 (+.f64 b a) (neg.f64 a)))
(/.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) (*.f64 b #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 a #s(literal 2 binary64))) b)
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))) b)
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (neg.f64 (/.f64 (+.f64 b a) (PI.f64))))
(/.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 a #s(literal 2 binary64)))) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a)))) (neg.f64 b))
(/.f64 (*.f64 (neg.f64 (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (neg.f64 (/.f64 (+.f64 b a) (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a (+.f64 b a)))) b)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 a (+.f64 b a)))) (*.f64 b #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a (+.f64 b a)))) (neg.f64 b))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 a (+.f64 b a)))) (*.f64 b #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) b)
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b))
(pow.f64 (*.f64 (*.f64 a (*.f64 b #s(literal 2 binary64))) (/.f64 (+.f64 b a) (PI.f64))) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a)))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (+.f64 b a) (*.f64 b a))))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (pow.f64 (*.f64 a (/.f64 (+.f64 b a) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 b a)))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (-.f64 (neg.f64 b) a))))
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 b (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (+.f64 b a) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (+.f64 b a))))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (+.f64 b a))) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 (PI.f64) (*.f64 a (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a)) (PI.f64))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (+.f64 b a))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) (-.f64 b a))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) (*.f64 b a))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (*.f64 a (/.f64 (+.f64 b a) (PI.f64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (pow.f64 (*.f64 (*.f64 a (*.f64 b #s(literal 2 binary64))) (/.f64 (+.f64 b a) (PI.f64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 a (*.f64 b #s(literal 2 binary64))) (/.f64 (+.f64 b a) (PI.f64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 a b))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64)))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64)))) (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64)))) (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #s(literal 1 binary64)) (/.f64 (PI.f64) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (-.f64 (neg.f64 b) a)) (neg.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 (PI.f64) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 b b)) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 a (-.f64 a b))))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 a (-.f64 a b))) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 b b)))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a))) b) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 a)))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 a)) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a))) b))
(+.f64 (*.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))
(+.f64 (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))
(+.f64 (*.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (neg.f64 a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a)))))
(+.f64 (*.f64 (neg.f64 a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 b a)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 b) a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 b a)))
(fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (neg.f64 a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a)))))
(fma.f64 (neg.f64 a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a)))))
(fma.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))
(fma.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))
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(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (neg.f64 a)))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (PI.f64)))
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 a (+.f64 b a))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 a (+.f64 b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 b b)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (fma.f64 b b (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 b a)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) b) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) a))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) b))
(+.f64 (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (*.f64 (*.f64 a (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a))))))
(+.f64 (*.f64 (*.f64 a (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a))))))
(+.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (*.f64 (*.f64 b a) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a))))))
(+.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))))
(+.f64 (*.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 b a)))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))))
(fma.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 (*.f64 a (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a))))))
(fma.f64 (*.f64 a (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a))))))
(fma.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 (*.f64 b a) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 b b) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 a (+.f64 b a))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 a (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 b b)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (fma.f64 b b (*.f64 a a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 b a)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) a))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) b))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 b a)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 b a)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 b a))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (-.f64 a b))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 b (+.f64 b a) (*.f64 a a))) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a)))
(pow.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 b a) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 b (+.f64 b a) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (+.f64 b a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 (neg.f64 b) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (neg.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (neg.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 (neg.f64 b) a))

simplify509.0ms (4.6%)

Memory
38.9MiB live, 946.5MiB allocated
Algorithm
egg-herbie
Rules
17 492×lower-fma.f64
17 492×lower-fma.f32
5 438×lower-*.f64
5 438×lower-*.f32
3 974×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05293674
115243592
242523446
082673324
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) a))
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(* 1/2 (/ (PI) b))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(* 1/2 (/ (PI) b))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(* 1/2 (/ (PI) a))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(/ (PI) a)
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(/ (PI) b)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/ (PI) b)
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/ (PI) a)
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))) 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 (/ (PI) (pow b 4))) (* 1/2 (/ (* a (PI)) (pow b 5)))))))) 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 (/ (PI) b)) (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3)))))) (pow a 2))
(* -1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) (* -1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* -1/2 (/ (* (pow b 2) (PI)) a))) a)) (* 1/2 (PI))) a)) (* -1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (PI)) (pow a 3)))) 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 (/ (PI) (pow a 4))) (* -1/2 (/ (* b (PI)) (pow a 5)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow b 2))
(/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 3)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* a (PI)) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(/ -1/2 a)
(- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(- (* b (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(- (* b (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(/ 1/2 b)
(/ (+ 1/2 (* 1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* -1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ a b)) (* -1/2 (/ (pow a 2) (pow b 2))))) b)
(/ 1/2 b)
(* -1 (/ (- (* -1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* -1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* -1/2 a)) b)) 1/2) b))
(/ 1/2 b)
(+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(/ -1/2 a)
(/ (- (* -1/2 (/ b a)) 1/2) a)
(/ (- (* -1/2 (/ (pow b 2) (pow a 2))) (+ 1/2 (* 1/2 (/ b a)))) a)
(/ (- (* -1/2 (/ (pow b 3) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ b a)) (* 1/2 (/ (pow b 2) (pow a 2)))))) a)
(/ -1/2 a)
(* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a))) a))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 b b) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)) (/.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a))) (pow.f64 b #s(literal 4 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 a (*.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 a #s(literal -1/2 binary64))) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal 1/2 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) a))))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (fma.f64 b (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) a) (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64)))) a)) a)) (*.f64 a a))
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(*.f64 (/.f64 (PI.f64) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (*.f64 b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)))))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(fma.f64 b (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) b) (pow.f64 a #s(literal 4 binary64))) (*.f64 b #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (*.f64 a (/.f64 a (*.f64 b b))) (PI.f64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
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(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* -1/2 (/ a b))) b)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 a b) a)) b)) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ a b)) (* -1/2 (/ (pow a 2) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 a b))) #s(literal 1/2 binary64)) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(* -1 (/ (- (* -1/2 (/ a b)) 1/2) b))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)) b)
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* -1/2 a)) b)) 1/2) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a (/.f64 a b) a) b) #s(literal -1/2 binary64)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* -1/2 a)) b)) 1/2) b))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (fma.f64 a (/.f64 a b) a)) b) (*.f64 #s(literal 1/2 binary64) a)) b)) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) b))
(+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 a (*.f64 b (*.f64 b b))) a (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) b))
(+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) b))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ (- (* -1/2 (/ b a)) 1/2) a)
(/.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal -1/2 binary64)) a)
(/ (- (* -1/2 (/ (pow b 2) (pow a 2))) (+ 1/2 (* 1/2 (/ b a)))) a)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 b a) b)) a)) a)
(/ (- (* -1/2 (/ (pow b 3) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ b a)) (* 1/2 (/ (pow b 2) (pow a 2)))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 b a) b)) a)) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a))
(/.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal -1/2 binary64)) a)
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a) #s(literal 1/2 binary64)) (neg.f64 a))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a))) a))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 b #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (fma.f64 b (/.f64 b a) b))) a)) a)) a)

eval266.0ms (2.4%)

Memory
-21.3MiB live, 485.1MiB allocated
Compiler

Compiled 24 884 to 3 170 computations (87.3% saved)

prune173.0ms (1.6%)

Memory
-4.0MiB live, 501.8MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1 740131 753
Fresh10212
Picked415
Done011
Total1 754171 771
Accuracy
100.0%
Counts
1 771 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.1%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a)
62.7%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 b (-.f64 a b)))
62.6%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
64.1%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b a))
99.5%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a))
99.6%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
58.9%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
57.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
64.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
68.1%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 a b) (*.f64 b (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
59.0%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 b #s(literal -2 binary64))))
94.2%
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a))
62.7%
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) b))
59.0%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
62.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64))
99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a))))
64.1%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
Compiler

Compiled 408 to 292 computations (28.4% saved)

simplify475.0ms (4.3%)

Memory
9.3MiB live, 867.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b (+.f64 b a))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 b (+.f64 b a)))
cost-diff384
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
cost-diff384
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
cost-diff0
(*.f64 b (-.f64 a b))
cost-diff0
(*.f64 a (*.f64 b (-.f64 a b)))
cost-diff0
(/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b))))
cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64))
cost-diff0
(*.f64 (*.f64 b a) a)
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
cost-diff0
(*.f64 (+.f64 b a) (*.f64 b a))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
Rules
23 560×lower-fma.f64
23 560×lower-fma.f32
2 580×lower-*.f32
2 558×lower-*.f64
2 364×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025155
046155
194155
2242155
3491155
4617155
5759155
61182155
72640155
84114155
96187155
106893155
117155155
127206155
137216155
08280155
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (+.f64 b a) (*.f64 b a))
(+.f64 b a)
b
a
(*.f64 b a)
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))
#s(literal 1/2 binary64)
(*.f64 (*.f64 b a) a)
(*.f64 b a)
b
a
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b))))
#s(literal -1/2 binary64)
(*.f64 a (*.f64 b (-.f64 a b)))
a
(*.f64 b (-.f64 a b))
b
(-.f64 a b)
(PI.f64)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
b
(*.f64 b a)
a
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (PI.f64) (*.f64 b (+.f64 b a)))
(PI.f64)
(*.f64 b (+.f64 b a))
b
(+.f64 b a)
a
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
Outputs
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (+.f64 b a) (*.f64 b a))
(*.f64 a (*.f64 b (+.f64 b a)))
(+.f64 b a)
b
a
(*.f64 b a)
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 b a) a)
(*.f64 b (*.f64 a a))
(*.f64 b a)
b
a
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b (-.f64 b a)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b))))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b (-.f64 b a))))
#s(literal -1/2 binary64)
(*.f64 a (*.f64 b (-.f64 a b)))
(*.f64 b (*.f64 a (-.f64 a b)))
a
(*.f64 b (-.f64 a b))
b
(-.f64 a b)
(PI.f64)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
b
(*.f64 b a)
a
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a))))
(/.f64 (PI.f64) (*.f64 b (+.f64 b a)))
(PI.f64)
(*.f64 b (+.f64 b a))
b
(+.f64 b a)
a
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)

localize119.0ms (1.1%)

Memory
-1.5MiB live, 215.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 b (+.f64 b a))
accuracy100.0%
(PI.f64)
accuracy99.0%
(/.f64 (PI.f64) (*.f64 b (+.f64 b a)))
accuracy94.4%
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (PI.f64))
accuracy100.0%
(PI.f64)
accuracy99.7%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
accuracy99.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
accuracy100.0%
(*.f64 b (-.f64 a b))
accuracy99.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64))
accuracy99.7%
(/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b))))
accuracy94.3%
(*.f64 a (*.f64 b (-.f64 a b)))
accuracy100.0%
(PI.f64)
accuracy99.8%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
accuracy99.8%
(*.f64 (*.f64 b a) a)
accuracy99.7%
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))
accuracy100.0%
(*.f64 b a)
accuracy100.0%
(PI.f64)
accuracy99.8%
(*.f64 (+.f64 b a) (*.f64 b a))
accuracy99.6%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
Samples
47.0ms256×0valid
Compiler

Compiled 157 to 27 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 16.0ms (53.7% of total)
ival-div: 10.0ms (33.6% of total)
ival-pi: 1.0ms (3.4% of total)
ival-sub: 1.0ms (3.4% of total)
ival-add: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
4.0MiB live, 44.5MiB allocated
Counts
18 → 348
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))>
#<alt (*.f64 (PI.f64) #s(literal 1/2 binary64))>
#<alt (PI.f64)>
#<alt (*.f64 (+.f64 b a) (*.f64 b a))>
#<alt (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))>
#<alt (*.f64 (*.f64 b a) a)>
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64))>
#<alt (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b))))>
#<alt (*.f64 a (*.f64 b (-.f64 a b)))>
#<alt (*.f64 b (-.f64 a b))>
#<alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)>
#<alt (*.f64 #s(literal 1/2 binary64) (PI.f64))>
#<alt (*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a))>
#<alt (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))>
#<alt (*.f64 b (+.f64 b a))>
#<alt (*.f64 b a)>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* (pow a 2) b)>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* a (pow b 2))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* a (pow b 2))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* a (pow b 2))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* a (PI)) (pow b 5)))))))) a)>
#<alt (* -1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3)))))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) (* -1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* -1/2 (/ (* (pow b 2) (PI)) a))) a)) (* 1/2 (PI))) a)) (* -1/2 (/ (PI) b))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (PI)) (pow a 3)))) b)>
#<alt (/ (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* b (PI)) (pow a 5)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow b 2))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 3)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* a (PI)) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a)>
#<alt (/ (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)>
#<alt (/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)>
#<alt (/ -1/2 (* (pow a 2) b))>
#<alt (* -1 (/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow a 2)))>
#<alt (/ (- (* -1/2 (/ b (pow a 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow a 2))>
#<alt (/ (- (+ (* -1/2 (/ b (pow a 2))) (* -1/2 (/ (pow b 2) (pow a 3)))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow a 2))>
#<alt (/ -1/2 (* (pow a 2) b))>
#<alt (* -1 (/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow a 2)))>
#<alt (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2))>
#<alt (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 b) (* -1/2 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) (pow a 2))>
#<alt (/ -1/2 (* (pow a 2) b))>
#<alt (/ (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)>
#<alt (/ (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)>
#<alt (/ (- (* b (- (* b (- (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))>
#<alt (/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))) (pow b 2))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (- (* -1/2 (/ a b)) 1/2) b)) (* 1/2 (/ 1 a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (pow a 2) b))) b)) 1/2) b)) (* 1/2 (/ 1 a))) (pow b 2))>
#<alt (* -1 (* a (pow b 2)))>
#<alt (* a (+ (* -1 (pow b 2)) (* a b)))>
#<alt (* a (+ (* -1 (pow b 2)) (* a b)))>
#<alt (* a (+ (* -1 (pow b 2)) (* a b)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))>
#<alt (* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))>
#<alt (* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))>
#<alt (* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))>
#<alt (* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))>
#<alt (* (pow a 2) b)>
#<alt (* b (+ (* -1 (* a b)) (pow a 2)))>
#<alt (* b (+ (* -1 (* a b)) (pow a 2)))>
#<alt (* b (+ (* -1 (* a b)) (pow a 2)))>
#<alt (* -1 (* a (pow b 2)))>
#<alt (* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))>
#<alt (* -1 (* a (pow b 2)))>
#<alt (* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))>
#<alt (* a b)>
#<alt (* b (+ a (* -1 b)))>
#<alt (* b (+ a (* -1 b)))>
#<alt (* b (+ a (* -1 b)))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ a b) 1))>
#<alt (* (pow b 2) (- (/ a b) 1))>
#<alt (* (pow b 2) (- (/ a b) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ a b) 1))>
#<alt (* (pow b 2) (- (/ a b) 1))>
#<alt (* (pow b 2) (- (/ a b) 1))>
#<alt (* -1 (pow b 2))>
#<alt (+ (* -1 (pow b 2)) (* a b))>
#<alt (+ (* -1 (pow b 2)) (* a b))>
#<alt (+ (* -1 (pow b 2)) (* a b))>
#<alt (* a b)>
#<alt (* a (+ b (* -1 (/ (pow b 2) a))))>
#<alt (* a (+ b (* -1 (/ (pow b 2) a))))>
#<alt (* a (+ b (* -1 (/ (pow b 2) a))))>
#<alt (* a b)>
#<alt (* -1 (* a (+ (* -1 b) (/ (pow b 2) a))))>
#<alt (* -1 (* a (+ (* -1 b) (/ (pow b 2) a))))>
#<alt (* -1 (* a (+ (* -1 b) (/ (pow b 2) a))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (PI) (* a b))>
#<alt (/ (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a)) b)>
#<alt (/ (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a)) b)>
#<alt (/ (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a)) b)>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) (pow b 2))>
#<alt (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) (pow b 2))>
#<alt (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) (pow b 2))>
#<alt (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (PI)) b)) (* a (PI))) b))) (pow b 2))>
#<alt (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow a 3) (PI)) b)) (* (pow a 2) (PI))) b)) (* a (PI))) b))) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2)))>
#<alt (+ (* a (- (/ (* a (PI)) (pow b 4)) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2)))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 5))) (* -1 (/ (PI) (pow b 4))))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2)))>
#<alt (/ (PI) (* a b))>
#<alt (/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) a)>
#<alt (/ (- (+ (/ (PI) b) (/ (* b (PI)) (pow a 2))) (/ (PI) a)) a)>
#<alt (/ (- (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 3))) (/ (PI) b)) (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))) a)>
#<alt (/ (PI) (* a b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) b)) (* -1 (/ (- (/ (* b (PI)) a) (PI)) a))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) b)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a)) (PI)) a))) a))>
#<alt (* a b)>
#<alt (* b (+ a b))>
#<alt (* b (+ a b))>
#<alt (* b (+ a b))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (pow b 2)>
#<alt (+ (* a b) (pow b 2))>
#<alt (+ (* a b) (pow b 2))>
#<alt (+ (* a b) (pow b 2))>
#<alt (* a b)>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a b)>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
Calls

87 calls:

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

rewrite304.0ms (2.7%)

Memory
9.3MiB live, 597.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 778×lower-*.f32
6 756×lower-*.f64
3 766×lower-/.f32
3 752×lower-/.f64
2 346×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025118
046118
1177118
21217118
09072118
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 433
Calls
Call 1
Inputs
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(*.f64 (+.f64 b a) (*.f64 b a))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))
(*.f64 (*.f64 b a) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b))))
(*.f64 a (*.f64 b (-.f64 a b)))
(*.f64 b (-.f64 a b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (PI.f64) (*.f64 b (+.f64 b a)))
(*.f64 b (+.f64 b a))
(*.f64 b a)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 b (*.f64 (+.f64 b a) a)) #s(literal 2 binary64)) (PI.f64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 (+.f64 b a) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b (*.f64 (+.f64 b a) a)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 (+.f64 b a) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) (+.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 (neg.f64 a) (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a)))))) (/.f64 (PI.f64) (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a)))))))
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 (+.f64 b a) a))))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 (neg.f64 a) (+.f64 b a))))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a)))))))
(neg.f64 (*.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) (/.f64 #s(literal 1/2 binary64) a)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))))
(neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal -1/2 binary64) a)))
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 (+.f64 b a) a)))))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 (+.f64 b a) a)))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 a (+.f64 b a))))
(neg.f64 (/.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) (*.f64 a #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 b (+.f64 b a)) (PI.f64))))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) (neg.f64 a)))
(neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (neg.f64 (*.f64 b (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (neg.f64 (*.f64 b a))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 (+.f64 b a) a)) #s(literal 2 binary64)) (PI.f64))))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) a))
(neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal -2 binary64))) (*.f64 b (+.f64 b a))))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 b a)))
(/.f64 (PI.f64) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a)))))
(/.f64 (PI.f64) (*.f64 (*.f64 b (*.f64 (+.f64 b a) a)) #s(literal 2 binary64)))
(/.f64 (PI.f64) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 (*.f64 b (+.f64 b a)))))
(/.f64 (PI.f64) (*.f64 (+.f64 b a) (*.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (+.f64 b a)))
(/.f64 (PI.f64) (neg.f64 (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a)))))))
(/.f64 (PI.f64) (neg.f64 (neg.f64 (*.f64 (*.f64 b (*.f64 (+.f64 b a) a)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 (+.f64 b a) a)) (PI.f64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64))) (neg.f64 a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 a) (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)) a))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b (*.f64 (+.f64 b a) a)) (PI.f64)))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 (+.f64 b a) a)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)) a)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 b (*.f64 (+.f64 b a) a)) (PI.f64))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64))) a))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (neg.f64 (*.f64 b a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 a (+.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (*.f64 (neg.f64 a) (neg.f64 (+.f64 b a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (neg.f64 (*.f64 (neg.f64 a) (+.f64 b a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (neg.f64 (neg.f64 (*.f64 (+.f64 b a) a))))
(/.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 b (PI.f64)) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 (+.f64 b a) a)) #s(literal 2 binary64)) (PI.f64)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64))) (*.f64 a #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a)))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)) a) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)) a)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 b a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a))))) (neg.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 (PI.f64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (+.f64 b a) a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64)) (/.f64 (PI.f64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) a)))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (*.f64 b (*.f64 (+.f64 b a) a))))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (neg.f64 (*.f64 (+.f64 b a) a)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 (neg.f64 a) (+.f64 b a)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 (neg.f64 (+.f64 b a)) a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 a (neg.f64 (+.f64 b a))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 b (*.f64 (+.f64 b a) a)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a))))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 b (+.f64 b a)) (*.f64 a #s(literal -2 binary64))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 b (+.f64 b a))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 (+.f64 b a)) (*.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (neg.f64 (+.f64 b a))))
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) b))
(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) a)
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b (+.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 b a))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64))))
(/.f64 (/.f64 (PI.f64) b) (*.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64)))
(/.f64 (/.f64 (PI.f64) b) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (*.f64 (+.f64 b a) a)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) (neg.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 b (+.f64 b a)) (PI.f64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 b a))))
(/.f64 (/.f64 (PI.f64) (neg.f64 b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (neg.f64 (+.f64 b a))))
(/.f64 (/.f64 (PI.f64) (neg.f64 b)) (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (neg.f64 b)) (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a)))))
(/.f64 (/.f64 (PI.f64) (neg.f64 b)) (neg.f64 (*.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64))))
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal -2 binary64))) (neg.f64 (*.f64 b (+.f64 b a))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (+.f64 b a))) (neg.f64 (*.f64 b a)))
(/.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b (+.f64 b a)))) (neg.f64 a))
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (+.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (neg.f64 (+.f64 b a)))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (+.f64 b a)) b)
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) b) a)
(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) a) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a (+.f64 b a)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 b (+.f64 b a))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 b (*.f64 (+.f64 b a) a))))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (+.f64 b a) a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) (*.f64 a (/.f64 (+.f64 b a) (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (neg.f64 (PI.f64))) (*.f64 a (neg.f64 (+.f64 b a))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) #s(literal -1 binary64)) (neg.f64 (*.f64 (+.f64 b a) a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal -1/2 binary64)) (neg.f64 (*.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1 binary64)) (*.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal -1 binary64)) (*.f64 b (*.f64 a #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal -1 binary64)) (*.f64 (+.f64 b a) (*.f64 a #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 b)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (+.f64 b a)) (neg.f64 a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 b)) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 b a)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (+.f64 b a)) (*.f64 a #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 (*.f64 a #s(literal -2 binary64)) b))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (neg.f64 b))) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 (+.f64 b a))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) a))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 b a)))
(/.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (+.f64 b a))) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) b)) (neg.f64 a))
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) a)) (neg.f64 b))
(pow.f64 (/.f64 (*.f64 (*.f64 b (*.f64 (+.f64 b a) a)) #s(literal 2 binary64)) (PI.f64)) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (+.f64 b a) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a))))))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 (+.f64 b a) a))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)) a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 (+.f64 b a) a)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.f64 b a) a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b (+.f64 b a))))) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b (+.f64 b a)) (PI.f64)) a))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 b (*.f64 (+.f64 b a) a)) (PI.f64)))))
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(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (+.f64 b a))) (/.f64 (cbrt.f64 (PI.f64)) b))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) b)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 b a)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 b a))) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) b) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))) (fma.f64 a a (*.f64 b (-.f64 b a))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) b) (*.f64 (+.f64 b a) (-.f64 b a)))) (-.f64 b a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (PI.f64) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))) (fma.f64 a a (*.f64 b (-.f64 b a))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (PI.f64) (*.f64 (+.f64 b a) (-.f64 b a)))) (-.f64 b a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64)) (/.f64 (PI.f64) b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) b))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) b))
(+.f64 (*.f64 b a) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 b a))
(+.f64 (-.f64 (*.f64 b b) #s(literal 0 binary64)) (*.f64 b a))
(-.f64 (*.f64 b b) (neg.f64 (*.f64 b a)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b (+.f64 b a))))
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (-.f64 b a))) (/.f64 (*.f64 b (*.f64 a (*.f64 b a))) (*.f64 b (-.f64 b a))))
(fma.f64 b b (*.f64 b a))
(fma.f64 b a (*.f64 b b))
(fma.f64 a b (*.f64 b b))
(fma.f64 (*.f64 b a) #s(literal 1 binary64) (*.f64 b b))
(fma.f64 #s(literal 1 binary64) (*.f64 b a) (*.f64 b b))
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 b a))
(fma.f64 (neg.f64 a) (neg.f64 b) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 a) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 b a))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b a)) (*.f64 b b))
(fma.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 b)) (*.f64 b a))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 b a))
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 b a))
(neg.f64 (neg.f64 (*.f64 b (+.f64 b a))))
(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(/.f64 (*.f64 b (+.f64 b a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b a)))) (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (-.f64 b a)) (*.f64 (*.f64 b (+.f64 b a)) (*.f64 b (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 b (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (*.f64 b (+.f64 b a)) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (*.f64 b (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 b (+.f64 b a))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b a)))))
(/.f64 (*.f64 (*.f64 b (+.f64 b a)) (*.f64 b (-.f64 b a))) (*.f64 b (-.f64 b a)))
(/.f64 (*.f64 b (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (fma.f64 a a (*.f64 b (-.f64 b a))))
(/.f64 (*.f64 (*.f64 b (+.f64 b a)) (-.f64 b a)) (-.f64 b a))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) b) (fma.f64 a a (*.f64 b (-.f64 b a))))
(/.f64 (*.f64 (+.f64 b a) (*.f64 b (-.f64 b a))) (-.f64 b a))
(/.f64 (neg.f64 (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 b (+.f64 b a)) (*.f64 b (-.f64 b a)))) (neg.f64 (*.f64 b (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 b (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))))) (neg.f64 (fma.f64 a a (*.f64 b (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (*.f64 b (+.f64 b a)) (-.f64 b a))) (-.f64 a b))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) b)) (neg.f64 (fma.f64 a a (*.f64 b (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (*.f64 b (-.f64 b a)))) (-.f64 a b))
(/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (fma.f64 b (*.f64 a (*.f64 b a)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b a) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (pow.f64 (neg.f64 (*.f64 b a)) #s(literal 3 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (neg.f64 (*.f64 b a)) (neg.f64 (*.f64 b a)) (*.f64 (*.f64 b b) (neg.f64 (*.f64 b a))))))
(/.f64 (-.f64 (*.f64 b (*.f64 a (*.f64 b a))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 b a) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (neg.f64 (*.f64 b a)) (neg.f64 (*.f64 b a)))) (*.f64 b (-.f64 b a)))
(*.f64 b (+.f64 b a))
(*.f64 (+.f64 b a) b)
(*.f64 (*.f64 b (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a)))
(*.f64 (neg.f64 b) (neg.f64 (+.f64 b a)))
(*.f64 (neg.f64 b) (-.f64 (neg.f64 b) a))
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b (-.f64 b a)))) b))
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) b))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b (+.f64 b a))))
(*.f64 (neg.f64 (+.f64 b a)) (neg.f64 b))
(*.f64 (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b a))))))
(*.f64 (*.f64 (*.f64 b (+.f64 b a)) (*.f64 b (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b (-.f64 b a))))
(*.f64 (*.f64 b (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b (-.f64 b a)))))
(*.f64 (*.f64 (*.f64 b (+.f64 b a)) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b (-.f64 b a)))))
(*.f64 (*.f64 (+.f64 b a) (*.f64 b (-.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b a)))
(neg.f64 (neg.f64 (*.f64 b a)))
(/.f64 a (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 b a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(/.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (neg.f64 (*.f64 b a)) #s(literal -1 binary64))
(*.f64 b a)
(*.f64 a b)
(*.f64 (*.f64 b a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 b a))
(*.f64 (neg.f64 a) (neg.f64 b))
(*.f64 (neg.f64 b) (neg.f64 a))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b a)))

simplify431.0ms (3.9%)

Memory
7.5MiB live, 914.2MiB allocated
Algorithm
egg-herbie
Rules
13 978×lower-fma.f64
13 978×lower-fma.f32
5 272×lower-*.f64
5 272×lower-*.f32
3 142×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04653973
113143858
235953749
081253622
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* (pow a 2) b)
(* b (+ (* a b) (pow a 2)))
(* b (+ (* a b) (pow a 2)))
(* b (+ (* a b) (pow a 2)))
(* a (pow b 2))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* a (pow b 2))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* a (pow b 2))
(* a (+ (* a b) (pow b 2)))
(* a (+ (* a b) (pow b 2)))
(* a (+ (* a b) (pow b 2)))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* (pow a 2) b))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))) 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 (/ (PI) (pow b 4))) (* 1/2 (/ (* a (PI)) (pow b 5)))))))) 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 (/ (PI) b)) (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3)))))) (pow a 2))
(* -1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) (* -1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* -1/2 (/ (* (pow b 2) (PI)) a))) a)) (* 1/2 (PI))) a)) (* -1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (PI)) (pow a 3)))) 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 (/ (PI) (pow a 4))) (* -1/2 (/ (* b (PI)) (pow a 5)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow b 2))
(/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 3)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* a (PI)) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ 1/2 (* a (pow b 2)))
(/ (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a)
(/ (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)
(/ -1/2 (* (pow a 2) b))
(* -1 (/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow a 2)))
(/ (- (* -1/2 (/ b (pow a 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow a 2))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (* -1/2 (/ (pow b 2) (pow a 3)))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow a 2))
(/ -1/2 (* (pow a 2) b))
(* -1 (/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow a 2)))
(/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2))
(/ (- (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 b) (* -1/2 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) (pow a 2))
(/ -1/2 (* (pow a 2) b))
(/ (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ (- (* b (- (* b (- (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ 1/2 (* a (pow b 2)))
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow b 2))
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))) (pow b 2))
(/ 1/2 (* a (pow b 2)))
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))
(/ (+ (* -1 (/ (- (* -1/2 (/ a b)) 1/2) b)) (* 1/2 (/ 1 a))) (pow b 2))
(/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (pow a 2) b))) b)) 1/2) b)) (* 1/2 (/ 1 a))) (pow b 2))
(* -1 (* a (pow b 2)))
(* a (+ (* -1 (pow b 2)) (* a b)))
(* a (+ (* -1 (pow b 2)) (* a b)))
(* a (+ (* -1 (pow b 2)) (* a b)))
(* (pow a 2) b)
(* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))
(* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))
(* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))
(* (pow a 2) b)
(* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))
(* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))
(* (pow a 2) (+ b (* -1 (/ (pow b 2) a))))
(* (pow a 2) b)
(* b (+ (* -1 (* a b)) (pow a 2)))
(* b (+ (* -1 (* a b)) (pow a 2)))
(* b (+ (* -1 (* a b)) (pow a 2)))
(* -1 (* a (pow b 2)))
(* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))
(* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))
(* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))
(* -1 (* a (pow b 2)))
(* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))
(* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))
(* (pow b 2) (+ (* -1 a) (/ (pow a 2) b)))
(* a b)
(* b (+ a (* -1 b)))
(* b (+ a (* -1 b)))
(* b (+ a (* -1 b)))
(* -1 (pow b 2))
(* (pow b 2) (- (/ a b) 1))
(* (pow b 2) (- (/ a b) 1))
(* (pow b 2) (- (/ a b) 1))
(* -1 (pow b 2))
(* (pow b 2) (- (/ a b) 1))
(* (pow b 2) (- (/ a b) 1))
(* (pow b 2) (- (/ a b) 1))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a b))
(+ (* -1 (pow b 2)) (* a b))
(+ (* -1 (pow b 2)) (* a b))
(* a b)
(* a (+ b (* -1 (/ (pow b 2) a))))
(* a (+ b (* -1 (/ (pow b 2) a))))
(* a (+ b (* -1 (/ (pow b 2) a))))
(* a b)
(* -1 (* a (+ (* -1 b) (/ (pow b 2) a))))
(* -1 (* a (+ (* -1 b) (/ (pow b 2) a))))
(* -1 (* a (+ (* -1 b) (/ (pow b 2) a))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (PI) (* a b))
(/ (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a)) b)
(/ (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a)) b)
(/ (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a)) b)
(/ (PI) (pow b 2))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) (pow b 2))
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) (pow b 2))
(/ (PI) (pow b 2))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) (pow b 2))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (PI)) b)) (* a (PI))) b))) (pow b 2))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow a 3) (PI)) b)) (* (pow a 2) (PI))) b)) (* a (PI))) b))) (pow b 2))
(/ (PI) (pow b 2))
(+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2)))
(+ (* a (- (/ (* a (PI)) (pow b 4)) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2)))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 5))) (* -1 (/ (PI) (pow b 4))))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2)))
(/ (PI) (* a b))
(/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) a)
(/ (- (+ (/ (PI) b) (/ (* b (PI)) (pow a 2))) (/ (PI) a)) a)
(/ (- (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 3))) (/ (PI) b)) (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))) a)
(/ (PI) (* a b))
(* -1 (/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) a))
(* -1 (/ (+ (* -1 (/ (PI) b)) (* -1 (/ (- (/ (* b (PI)) a) (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (PI) b)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a)) (PI)) a))) a))
(* a b)
(* b (+ a b))
(* b (+ a b))
(* b (+ a b))
(pow b 2)
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(pow b 2)
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(pow b 2)
(+ (* a b) (pow b 2))
(+ (* a b) (pow b 2))
(+ (* a b) (pow b 2))
(* a b)
(* a (+ b (/ (pow b 2) a)))
(* a (+ b (/ (pow b 2) a)))
(* a (+ b (/ (pow b 2) a)))
(* a b)
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (PI.f64) b)) (*.f64 (*.f64 a a) (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 b b))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 a (*.f64 b b)) (/.f64 (PI.f64) a)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) b)) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (/.f64 (*.f64 a a) b)))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) (*.f64 b (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 a (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (PI.f64) a)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 b (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (PI.f64)) a)) a)) a)) (*.f64 a a))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* b (+ (* a b) (pow a 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* b (+ (* a b) (pow a 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* b (+ (* a b) (pow a 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 (*.f64 (fma.f64 a (/.f64 a b) a) b) b)
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 (*.f64 (fma.f64 a (/.f64 a b) a) b) b)
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 (*.f64 (fma.f64 a (/.f64 a b) a) b) b)
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 (*.f64 (fma.f64 a (/.f64 a b) a) b) b)
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 (*.f64 (fma.f64 a (/.f64 a b) a) b) b)
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 (*.f64 (fma.f64 a (/.f64 a b) a) b) b)
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (+ (* a b) (pow b 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* a (+ (* a b) (pow b 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* a (+ (* a b) (pow b 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* (pow a 2) b)
(*.f64 a (*.f64 a b))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
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(-.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 (PI.f64) (*.f64 a a)))
(/ (- (+ (/ (PI) b) (/ (* b (PI)) (pow a 2))) (/ (PI) a)) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 (PI.f64) b)) a)
(/ (- (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 3))) (/ (PI) b)) (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))) a)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 (*.f64 b b) a) b)) a) (PI.f64)) a) (/.f64 (PI.f64) b)) (neg.f64 a))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(* -1 (/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) a))
(-.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 (PI.f64) (*.f64 a a)))
(* -1 (/ (+ (* -1 (/ (PI) b)) (* -1 (/ (- (/ (* b (PI)) a) (PI)) a))) a))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 (PI.f64) b)) a)
(* -1 (/ (+ (* -1 (/ (PI) b)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a)) (PI)) a))) a))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 (*.f64 b b) a) b)) a) (PI.f64)) a) (/.f64 (PI.f64) b)) (neg.f64 a))
(* a b)
(*.f64 a b)
(* b (+ a b))
(*.f64 b (+.f64 a b))
(* b (+ a b))
(*.f64 b (+.f64 a b))
(* b (+ a b))
(*.f64 b (+.f64 a b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (fma.f64 b (/.f64 a b) b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (fma.f64 b (/.f64 a b) b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (fma.f64 b (/.f64 a b) b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (fma.f64 b (/.f64 a b) b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (fma.f64 b (/.f64 a b) b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (fma.f64 b (/.f64 a b) b))
(pow b 2)
(*.f64 b b)
(+ (* a b) (pow b 2))
(*.f64 b (+.f64 a b))
(+ (* a b) (pow b 2))
(*.f64 b (+.f64 a b))
(+ (* a b) (pow b 2))
(*.f64 b (+.f64 a b))
(* a b)
(*.f64 a b)
(* a (+ b (/ (pow b 2) a)))
(*.f64 a (fma.f64 b (/.f64 b a) b))
(* a (+ b (/ (pow b 2) a)))
(*.f64 a (fma.f64 b (/.f64 b a) b))
(* a (+ b (/ (pow b 2) a)))
(*.f64 a (fma.f64 b (/.f64 b a) b))
(* a b)
(*.f64 a b)
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(*.f64 a (fma.f64 b (/.f64 b a) b))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(*.f64 a (fma.f64 b (/.f64 b a) b))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(*.f64 a (fma.f64 b (/.f64 b a) b))
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)

eval292.0ms (2.6%)

Memory
9.7MiB live, 636.6MiB allocated
Compiler

Compiled 30 973 to 3 840 computations (87.6% saved)

prune402.0ms (3.6%)

Memory
-2.9MiB live, 567.8MiB allocated
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New2 09292 101
Fresh7310
Picked235
Done022
Total2 101172 118
Accuracy
100.0%
Counts
2 118 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.1%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a)
62.6%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
64.1%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b a))
62.6%
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) b)
57.2%
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b b))
99.6%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (/.f64 a (/.f64 #s(literal 1 binary64) b))))
99.6%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
62.6%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
58.9%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
57.1%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
64.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
58.9%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b (PI.f64)) (*.f64 a a)))
57.1%
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
59.0%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
62.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) b) a))
64.1%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
62.6%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
Compiler

Compiled 1 062 to 348 computations (67.2% saved)

regimes83.0ms (0.8%)

Memory
7.6MiB live, 85.2MiB allocated
Counts
62 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b (PI.f64)) (*.f64 a a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) a)
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b b))
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) b)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a)
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (neg.f64 a)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 b (-.f64 a b)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 b #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) b) a))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a)
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 a b) (*.f64 b (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (PI.f64)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 b (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (/.f64 a (/.f64 #s(literal 1 binary64) b))))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)) b) a))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))))))
(*.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))))
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 b a))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 (-.f64 b a) (*.f64 b a))))
(*.f64 (-.f64 b a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 b a)))))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a))
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
(*.f64 (*.f64 (*.f64 (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 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) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a))
Calls

3 calls:

38.0ms
(*.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)))
26.0ms
a
17.0ms
b
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
99.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes56.0ms (0.5%)

Memory
11.9MiB live, 51.5MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b (PI.f64)) (*.f64 a a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) a)
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b b))
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) b)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a)
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (neg.f64 a)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a))
Outputs
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a))
Calls

3 calls:

37.0ms
(*.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)))
9.0ms
b
9.0ms
a
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
99.6%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes58.0ms (0.5%)

Memory
-36.0MiB live, 44.9MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b (PI.f64)) (*.f64 a a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) a)
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b b))
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) b)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a)
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (neg.f64 a)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 b a) (PI.f64)) (*.f64 b a)))
Outputs
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
Calls

3 calls:

27.0ms
(*.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)))
8.0ms
b
8.0ms
a
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
99.6%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes46.0ms (0.4%)

Memory
8.8MiB live, 47.6MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b (PI.f64)) (*.f64 a a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) a)
(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) (*.f64 b b))
(/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) b)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 b a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a)
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (neg.f64 a)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a))
Outputs
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
Calls

3 calls:

29.0ms
a
8.0ms
b
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)))
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)

regimes12.0ms (0.1%)

Memory
24.4MiB live, 24.4MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
Outputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a))))
Calls

3 calls:

4.0ms
b
4.0ms
a
4.0ms
(*.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%2a
98.3%2b
94.5%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes25.0ms (0.2%)

Memory
-13.0MiB live, 25.2MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 b (-.f64 a b)))) (PI.f64))
Outputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
Calls

3 calls:

18.0ms
a
4.0ms
b
3.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
72.9%4(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
91.0%3b
94.3%2a
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes4.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
Outputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
Calls

1 calls:

3.0ms
a
Results
AccuracySegmentsBranch
94.3%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
Outputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
Calls

2 calls:

2.0ms
b
1.0ms
a
Results
AccuracySegmentsBranch
83.6%2b
89.2%2a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.2%)

Memory
-34.6MiB live, 9.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

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)))
1.0ms
a
1.0ms
b
Results
AccuracySegmentsBranch
58.9%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
58.9%1b
58.9%1a
Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch11.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
-1.9506207086050767e+87
-6.262336589251192e+86
Samples
7.0ms80×0valid
Compiler

Compiled 156 to 115 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (40.2% of total)
ival-mult: 2.0ms (40.2% of total)
ival-sub: 1.0ms (20.1% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch48.0ms (0.4%)

Memory
-1.4MiB live, 35.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
45.0ms
-1.7806117507175505e-24
-1.4112813879947135e-31
Samples
40.0ms144×0valid
Compiler

Compiled 242 to 182 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 31.0ms (85.3% of total)
ival-mult: 3.0ms (8.3% of total)
ival-pi: 1.0ms (2.8% of total)
ival-sub: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.7806117507175505e-24
-1.4112813879947135e-31
Compiler

Compiled 242 to 182 computations (24.8% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.7806117507175505e-24
-1.4112813879947135e-31
Compiler

Compiled 242 to 182 computations (24.8% saved)

simplify7.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Algorithm
egg-herbie
Rules
28×*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039143
154143
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.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 b a) (*.f64 b a)))
(if (<=.f64 a #s(literal -1900000000000000055405306325444513908582105126050946422433796384304159312727278505426944 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -3811162509514511/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))))
(if (<=.f64 a #s(literal -3811162509514511/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(if (<=.f64 a #s(literal -3811162509514511/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
Outputs
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a))
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (+.f64 b a))
(*.f64 (/.f64 (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 b a) (*.f64 b a)))
(if (<=.f64 a #s(literal -1900000000000000055405306325444513908582105126050946422433796384304159312727278505426944 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -1900000000000000055405306325444513908582105126050946422433796384304159312727278505426944 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -3811162509514511/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))))
(if (<=.f64 a #s(literal -3811162509514511/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))))
(if (<=.f64 a #s(literal -3811162509514511/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(if (<=.f64 a #s(literal -3811162509514511/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(if (<=.f64 a #s(literal -3811162509514511/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))

soundness1.1s (9.9%)

Memory
-29.7MiB live, 1 030.3MiB allocated
Rules
17 492×lower-fma.f64
17 492×lower-fma.f32
12 618×lower-fma.f64
12 618×lower-fma.f32
6 778×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025110
047110
1189110
21323110
08044110
01553
02649
112449
2112349
0919349
02911696
17681666
222951612
363831612
083411525
025118
046118
1177118
21217118
09072118
05293674
115243592
242523446
082673324
032160
059160
1257160
22544136
08178136
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 455 to 258 computations (43.3% saved)

preprocess76.0ms (0.7%)

Memory
-18.1MiB live, 97.5MiB allocated
Remove

(sort a b)

Compiler

Compiled 388 to 142 computations (63.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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