NMSE Section 6.1 mentioned, B

Time bar (total: 4.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze76.0ms (1.6%)

Memory
3.9MiB live, 27.8MiB 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)

sample906.0ms (19.2%)

Memory
17.9MiB live, 336.9MiB allocated
Samples
636.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 480.0ms
ival-div: 195.0ms (40.7% of total)
ival-mult: 176.0ms (36.7% of total)
ival-sub: 65.0ms (13.6% of total)
ival-pi: 29.0ms (6% of total)
exact: 7.0ms (1.5% of total)
ival-true: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain143.0ms (3%)

Memory
-8.3MiB live, 91.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
310-5(8.540673012858537e-47 -4.626377587300511e+155)(*.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)))
120-0-(-.f64 (*.f64 b b) (*.f64 a a))
41(3.624424335555075e-185 -2.6256490300544375e+161)0-(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
00-0-(*.f64 a a)
00-0-a
00-0-(/.f64 (PI.f64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(*.f64 b b)
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 1 binary64) b)
00-0-(/.f64 #s(literal 1 binary64) a)
00-0-b
00-0-(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))n*u260
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue120
(*.f64 b b)overflow55
(*.f64 a a)overflow53
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o50
(*.f64 b b)overflow55
(*.f64 a a)overflow53
(-.f64 (*.f64 b b) (*.f64 a a))overflow96
Confusion
Predicted +Predicted -
+436
-0207
Precision
1.0
Recall
0.8775510204081632
Confusion?
Predicted +Predicted MaybePredicted -
+4306
-00207
Precision?
1.0
Recall?
0.8775510204081632
Freqs
test
numberfreq
0213
143
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
25.710205078125
Average Time
0.10043048858642578
Samples
47.0ms512×0valid
Compiler

Compiled 256 to 64 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 13.0ms (42.8% of total)
ival-mult: 11.0ms (36.2% of total)
ival-sub: 4.0ms (13.2% of total)
ival-pi: 2.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess129.0ms (2.7%)

Memory
5.5MiB live, 34.4MiB allocated
Algorithm
egg-herbie
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 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 b a)))
Symmetry

(sort a b)

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.4%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify96.0ms (2%)

Memory
-1.0MiB live, 29.0MiB 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))
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 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))
#s(literal 1 binary64)
(-.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (-.f64 b a) (+.f64 a b))
(*.f64 b b)
b
(*.f64 a a)
a
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)

localize33.0ms (0.7%)

Memory
7.6MiB live, 15.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.21550751953688405
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
accuracy0.5888399504500059
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
accuracy2.550775057490618
(-.f64 (*.f64 b b) (*.f64 a a))
accuracy6.0429613242278855
(*.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
24.0ms256×0valid
Compiler

Compiled 156 to 32 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 7.0ms (45.4% of total)
ival-mult: 5.0ms (32.5% of total)
ival-sub: 2.0ms (13% of total)
ival-pi: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
-6.8MiB live, 4.3MiB allocated
Counts
5 → 52
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
(* 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 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))))))))
(pow b 2)
(+ (* -1 (pow a 2)) (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)))
(* 1/2 (/ (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)))
(/ (+ (* -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 a 2) (- (/ (pow b 2) (pow a 2)) 1))
(/ -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 (/ (+ (* -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 (/ (* 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) (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))))))))
(- (pow b 2) (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)))
(/ (+ (* -1/2 (/ (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)) (* 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))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (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 (/ (+ (* -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))
Calls

6 calls:

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

simplify147.0ms (3.1%)

Memory
-0.3MiB live, 41.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911138
17681118
222931080
363891080
083451013
Stop Event
iter limit
node limit
Counts
52 → 52
Calls
Call 1
Inputs
(* 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 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))))))))
(pow b 2)
(+ (* -1 (pow a 2)) (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)))
(* 1/2 (/ (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)))
(/ (+ (* -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 a 2) (- (/ (pow b 2) (pow a 2)) 1))
(/ -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 (/ (+ (* -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 (/ (* 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) (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))))))))
(- (pow b 2) (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)))
(/ (+ (* -1/2 (/ (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)) (* 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))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (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 (/ (+ (* -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))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) a)) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64)) a)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(* 1/2 (/ (PI) (pow b 2)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a) (PI.f64) (/.f64 (PI.f64) (*.f64 b b))) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) a) a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b))))
(+ (* 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))))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 8 binary64))) a) a (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 a a)))
(pow b 2)
(*.f64 b b)
(+ (* -1 (pow a 2)) (pow b 2))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64)) (*.f64 b b))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 8 binary64))) a (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 a #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) a (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))) (*.f64 a a))
(* -1/2 (/ (PI) (pow a 2)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 b b) (PI.f64)) a) a) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (PI.f64)) a))
(/ (+ (* -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))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (+.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64)))) a))
(* -1 (pow a 2))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (*.f64 a a))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal -1 binary64)) a) a)
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64) (*.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 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (PI.f64) a) b) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) a)) a)) (*.f64 a a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) b)) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) b)) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(*.f64 (fma.f64 (*.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) b) (PI.f64) (/.f64 (/.f64 (PI.f64) a) a)) #s(literal -1/2 binary64))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) b) b (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b) (/.f64 (/.f64 (PI.f64) a) a)))
(+ (* -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))))))))
(fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) a) (PI.f64) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 8 binary64))) b) b (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64)))) (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) (*.f64 b b)))
(- (pow b 2) (pow a 2))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal -1 binary64)) a) a)
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(-.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) b (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 8 binary64))) (neg.f64 b) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 b #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal -1 binary64)) a) a))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))) (*.f64 b b))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) a) a (PI.f64)) b) b) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (PI.f64)))
(/ (+ (* 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))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (+.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (PI.f64)) (*.f64 (pow.f64 a #s(literal 6 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal 1/2 binary64) (*.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 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (PI.f64) b) a) a) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) b)) b)) (*.f64 b b))

rewrite132.0ms (2.8%)

Memory
1.7MiB live, 56.5MiB allocated
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
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
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(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)))
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(*.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) b a))
(/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))
(/.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))
(/.f64 (fma.f64 a a (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))
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(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a)))
(neg.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(neg.f64 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(fma.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64)))
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(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a)))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))

eval63.0ms (1.3%)

Memory
4.4MiB live, 54.6MiB allocated
Compiler

Compiled 18 778 to 2 112 computations (88.8% saved)

prune41.0ms (0.9%)

Memory
-22.5MiB live, 30.4MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New61318631
Fresh000
Picked101
Done000
Total61418632
Accuracy
100.0%
Counts
632 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.8%
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
88.7%
(fma.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))))
89.4%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
83.9%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
85.1%
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (*.f64 a b))
84.4%
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b))))
90.5%
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
84.4%
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
84.4%
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
89.4%
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
83.8%
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
85.1%
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
74.6%
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (/.f64 (/.f64 (-.f64 b a) a) b)))
49.1%
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
48.4%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)))
48.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)))
58.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
56.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
Compiler

Compiled 874 to 596 computations (31.8% saved)

simplify87.0ms (1.8%)

Memory
6.6MiB live, 26.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 b a) a)
cost-diff0
(/.f64 (/.f64 (-.f64 b a) a) b)
cost-diff128
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
cost-diff1280
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
cost-diff0
(*.f64 (+.f64 a b) (-.f64 b a))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
cost-diff1408
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
cost-diff0
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (PI.f64) (+.f64 a b))
cost-diff128
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
cost-diff3072
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
cost-diff6080
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053376
087384
1182372
2511347
32066307
45430307
08276306
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
(+.f64 a b)
a
b
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
(-.f64 b a)
(pow.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
(/.f64 (PI.f64) (-.f64 b a))
(neg.f64 b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(PI.f64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(literal 1/2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(PI.f64)
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(*.f64 a a)
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(PI.f64)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
a
b
(-.f64 b a)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 a b))
#s(literal 2 binary64)
(*.f64 a b)
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
(+.f64 a b)
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
Outputs
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (PI.f64) (+.f64 a b))
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(+.f64 a b)
(+.f64 b a)
a
b
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
(-.f64 b a)
(pow.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
(*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
(/.f64 (PI.f64) (-.f64 b a))
(neg.f64 b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(PI.f64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(literal 1/2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(*.f64 (/.f64 (/.f64 (PI.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) b) (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (PI.f64))
(PI.f64)
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(*.f64 a a)
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) a) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(/.f64 (PI.f64) (+.f64 b a))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a))
(PI.f64)
(*.f64 (+.f64 a b) (-.f64 b a))
(*.f64 (-.f64 b a) (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a
b
(-.f64 b a)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 a b))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a b)
(*.f64 b a)
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) a) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64) (/.f64 (PI.f64) a)) (+.f64 b a))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (/.f64 (-.f64 b a) b) a)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(/.f64 (PI.f64) (+.f64 a b))
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(+.f64 a b)
(+.f64 b a)
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)

localize119.0ms (2.5%)

Memory
-4.8MiB live, 51.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.16796875
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
accuracy0.234375
(/.f64 (PI.f64) (+.f64 a b))
accuracy0.2734375
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
accuracy9.458630447105072
(/.f64 (/.f64 (-.f64 b a) a) b)
accuracy0.13671875
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
accuracy0.41798725183595037
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
accuracy0.7330887883124382
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy25.77194362072861
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
accuracy0.01953125
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
accuracy0.31640625
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
accuracy3.1565637749184194
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
accuracy29.877083673096486
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)))
accuracy0
(PI.f64)
accuracy0.46390247726543515
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
accuracy7.73960298021379
(*.f64 (*.f64 a a) b)
accuracy24.739867271108558
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
accuracy0.23828125
(/.f64 (PI.f64) (-.f64 b a))
accuracy0.274101269536884
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
accuracy2.3046771791510294
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
accuracy2.6865792166296742
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
Samples
85.0ms256×0valid
Compiler

Compiled 731 to 107 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 27.0ms (42.5% of total)
ival-div: 23.0ms (36.2% of total)
ival-pow: 5.0ms (7.9% of total)
ival-add: 3.0ms (4.7% of total)
ival-sub: 3.0ms (4.7% of total)
ival-pi: 1.0ms (1.6% of total)
exact: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series48.0ms (1%)

Memory
3.9MiB live, 18.2MiB allocated
Counts
23 → 190
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
(/.f64 (PI.f64) (+.f64 a b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
(*.f64 (+.f64 a b) (-.f64 b a))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
(/.f64 (PI.f64) (-.f64 b a))
(*.f64 (*.f64 a a) b)
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
Outputs
(/ 1/2 (* a b))
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6)))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))))))) a)
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 7))))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))))))))
(/ (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))
(/ (+ (* -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)))
(/ (PI) (* (pow a 2) b))
(* -1/2 (/ (PI) a))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(/ -1/2 a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(pow b 2)
(+ (* a (+ b (* -1 b))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(/ (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 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ b a)
(/ (+ b (* -1 a)) a)
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(* (pow a 2) b)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (PI) (pow b 2))
(+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(/ -1/2 (pow a 2))
(/ (- (* -1/2 (/ b a)) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (* -1/2 (/ (pow b 2) (pow a 2)))) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/2 (/ (pow b 3) (pow a 3))))) 1/2) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3))))))))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b)))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3)))))) (pow a 2))
(/ (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)
(/ (+ (* -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) b))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(* -1 (pow a 2))
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(* -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 b)
(- (/ 1 a) (/ 1 b))
-1
(- (/ b a) 1)
(* -1 (/ (PI) a))
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a)
(* -1 (/ (PI) (pow a 2)))
(/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2))
(/ (- (* -1 (/ (+ (* 1/2 b) (* 1/2 (/ (pow b 2) a))) a)) 1/2) (pow a 2))
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) (* 1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))))) a)) (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -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 (/ (+ (* -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) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* -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 (/ (+ (PI) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a))
(/ (+ (* -1 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))
(- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))
(- (* 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))))
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (+ (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (* b (+ (* -1/2 (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))) (* 1/2 (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))))))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* 1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))))))) b)
(+ (* -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))
(/ (+ (* -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 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(/ (+ (* -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)
(/ (- (/ b a) 1) b)
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* -1 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) b)
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) b)
(/ (- (+ (* 1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (* -1/2 (/ a (pow b 2)))) b)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a)))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* a (* (PI) (+ a (* -1 a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 3))))))))) (pow b 2))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 3))
(/ (+ (* -1/2 (PI)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))))) (pow b 3))
(/ (+ (* -1/2 (PI)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))))) (pow b 3))
(/ (+ (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)
(/ (+ (* -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))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(/ (- (+ (* -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)
(* b (- (/ 1 a) (/ 1 b)))
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (pow b 2))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) b))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 3)))
(* -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))
(/ (+ (* -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))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) 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))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
b
@-inf
((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ 1 (* 2 (* a b)))) (* (+ a b) (- b a)) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ (PI) (* (+ a b) (- b a))) (/ 1 (* 2 (* a b))))
8.0ms
a
@inf
((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ 1 (* 2 (* a b)))) (* (+ a b) (- b a)) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ (PI) (* (+ a b) (- b a))) (/ 1 (* 2 (* a b))))
7.0ms
b
@inf
((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ 1 (* 2 (* a b)))) (* (+ a b) (- b a)) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ (PI) (* (+ a b) (- b a))) (/ 1 (* 2 (* a b))))
7.0ms
a
@0
((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ 1 (* 2 (* a b)))) (* (+ a b) (- b a)) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ (PI) (* (+ a b) (- b a))) (/ 1 (* 2 (* a b))))
6.0ms
b
@0
((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ 1 (* 2 (* a b)))) (* (+ a b) (- b a)) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ (PI) (* (+ a b) (- b a))) (/ 1 (* 2 (* a b))))

simplify156.0ms (3.3%)

Memory
-4.9MiB live, 53.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010655105
132794255
087394021
Stop Event
iter limit
node limit
Counts
190 → 190
Calls
Call 1
Inputs
(/ 1/2 (* a b))
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6)))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))))))) a)
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 7))))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))))))))
(/ (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))
(/ (+ (* -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)))
(/ (PI) (* (pow a 2) b))
(* -1/2 (/ (PI) a))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(/ -1/2 a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(pow b 2)
(+ (* a (+ b (* -1 b))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(/ (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 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ b a)
(/ (+ b (* -1 a)) a)
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(* (pow a 2) b)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (PI) (pow b 2))
(+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(/ -1/2 (pow a 2))
(/ (- (* -1/2 (/ b a)) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (* -1/2 (/ (pow b 2) (pow a 2)))) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/2 (/ (pow b 3) (pow a 3))))) 1/2) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3))))))))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b)))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3)))))) (pow a 2))
(/ (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)
(/ (+ (* -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) b))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(* -1 (pow a 2))
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(* -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 b)
(- (/ 1 a) (/ 1 b))
-1
(- (/ b a) 1)
(* -1 (/ (PI) a))
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a)
(* -1 (/ (PI) (pow a 2)))
(/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2))
(/ (- (* -1 (/ (+ (* 1/2 b) (* 1/2 (/ (pow b 2) a))) a)) 1/2) (pow a 2))
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) (* 1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))))) a)) (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -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 (/ (+ (* -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) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* -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 (/ (+ (PI) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a))
(/ (+ (* -1 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))
(- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))
(- (* 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))))
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (+ (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (* b (+ (* -1/2 (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))) (* 1/2 (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))))))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* 1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))))))) b)
(+ (* -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))
(/ (+ (* -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 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(/ (+ (* -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)
(/ (- (/ b a) 1) b)
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* -1 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) b)
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) b)
(/ (- (+ (* 1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (* -1/2 (/ a (pow b 2)))) b)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a)))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* a (* (PI) (+ a (* -1 a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 3))))))))) (pow b 2))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 3))
(/ (+ (* -1/2 (PI)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))))) (pow b 3))
(/ (+ (* -1/2 (PI)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))))) (pow b 3))
(/ (+ (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)
(/ (+ (* -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))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(/ (- (+ (* -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)
(* b (- (/ 1 a) (/ 1 b)))
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (pow b 2))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) b))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 3)))
(* -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))
(/ (+ (* -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))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) 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))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
Outputs
(/ 1/2 (* a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b)) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) #s(literal -1/2 binary64))) a (*.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6)))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))))) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))))) #s(literal -1/2 binary64))) a (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(* -1/2 (/ (PI) (pow b 3)))
(*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5))))
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(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 3)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) b) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64))) (neg.f64 b)))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 3)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64)) (*.f64 (*.f64 a a) (PI.f64)))) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) #s(literal 1/2 binary64))) (neg.f64 b))) (neg.f64 b)))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) b) (*.f64 (neg.f64 (PI.f64)) a)) (neg.f64 b)) (PI.f64)) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) b) (*.f64 (*.f64 (neg.f64 a) a) (PI.f64))) (neg.f64 b)) (*.f64 (PI.f64) a)) (neg.f64 b)) (PI.f64)) (neg.f64 b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (PI.f64))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a a) b) #s(literal 0 binary64)) b)) (*.f64 b b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) #s(literal -1 binary64) (/.f64 (PI.f64) a)) b)
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) (*.f64 (PI.f64) #s(literal -2 binary64))) (neg.f64 b)) (/.f64 (PI.f64) a)) (neg.f64 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))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) (*.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) a)) b) #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -2 binary64))) (neg.f64 b)) (/.f64 (PI.f64) a)) (neg.f64 b))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(/.f64 (fma.f64 a (/.f64 (PI.f64) b) (PI.f64)) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b)) b) (PI.f64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 (PI.f64) a (/.f64 (neg.f64 (fma.f64 (*.f64 a a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) (neg.f64 b))) (neg.f64 b)) (PI.f64)) (neg.f64 b))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) (neg.f64 b))) b)) (*.f64 b b))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (fma.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64)) (*.f64 (*.f64 a a) (PI.f64)))) (neg.f64 b))) (neg.f64 b))) b)) (*.f64 b b))

rewrite144.0ms (3%)

Memory
5.5MiB live, 66.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053280
087292
1385260
23921260
08071260
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 289
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
(/.f64 (PI.f64) (+.f64 a b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
(*.f64 (+.f64 a b) (-.f64 b a))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
(/.f64 (PI.f64) (-.f64 b a))
(*.f64 (*.f64 a a) b)
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (-.f64 b a) a) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) a)) #s(literal -1 binary64))
(pow.f64 (*.f64 a (*.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) a) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64)) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b a))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (-.f64 b a)))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (neg.f64 (-.f64 b a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 a) (-.f64 b a)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (-.f64 b a)) a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 b a) (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) a))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (-.f64 b a) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (neg.f64 a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)
(/.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 a) (neg.f64 (-.f64 b a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (-.f64 b a)) (neg.f64 a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) a))
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b))) (-.f64 b a))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a)) (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (-.f64 b a)) (*.f64 #s(literal 2 binary64) a)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (-.f64 b a)) #s(literal 2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b a) b))
(*.f64 (/.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) b))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (*.f64 a b)) (/.f64 (-.f64 b a) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (*.f64 a b)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b))) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 b) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 a b) (-.f64 b a))) (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) a) (*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))))
(*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 b a) b) a)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (*.f64 b (/.f64 a (-.f64 b a)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (/.f64 (-.f64 b a) b) a))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (-.f64 b a))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b)))
(*.f64 (-.f64 b a) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(*.f64 (-.f64 b a) (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)))
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(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 a b) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (*.f64 a b) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 a b))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 a b)))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 a b))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64))) #s(literal -1 binary64)))

eval162.0ms (3.4%)

Memory
6.6MiB live, 128.1MiB allocated
Compiler

Compiled 44 822 to 5 177 computations (88.4% saved)

prune35.0ms (0.7%)

Memory
-3.2MiB live, 59.1MiB allocated
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New1 339161 355
Fresh10313
Picked325
Done000
Total1 352211 373
Accuracy
100.0%
Counts
1 373 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.6%
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b)) (*.f64 (-.f64 b a) #s(literal 2 binary64)))
89.4%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
83.9%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
80.1%
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a)))
77.8%
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b a) b))
99.6%
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
98.3%
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
92.6%
(*.f64 (-.f64 (/.f64 (/.f64 b (*.f64 a b)) (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 a (*.f64 a b)) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
85.1%
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
67.1%
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
63.0%
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
65.8%
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
58.0%
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
56.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
61.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b)))
48.4%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)))
48.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)))
60.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
56.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
61.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)))
56.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
Compiler

Compiled 1 036 to 695 computations (32.9% saved)

simplify100.0ms (2.1%)

Memory
4.1MiB live, 32.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 b a) a)
cost-diff0
(*.f64 (/.f64 (-.f64 b a) a) (PI.f64))
cost-diff128
(*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64))
cost-diff512
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a)))
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
(-.f64 b a)
cost-diff0
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff256
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
cost-diff768
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (+.f64 a b))
cost-diff0
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
cost-diff1408
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044304
070304
1154300
2573260
32601260
45253260
08396259
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
(+.f64 a b)
a
b
(-.f64 b a)
(*.f64 a b)
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 a a)
a
b
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 b a)
b
a
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 a b)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 b a) a) (PI.f64))
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a))
(*.f64 (+.f64 a b) b)
(+.f64 a b)
Outputs
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b)) a)
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) b) a) (-.f64 b a))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
(*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.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 b a)
(*.f64 a b)
(*.f64 b a)
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 a a)
a
b
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b)) a)
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (PI.f64))
(-.f64 b a)
b
a
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (*.f64 (+.f64 b a) a) (*.f64 (-.f64 b a) b))
(*.f64 a b)
(*.f64 b a)
(*.f64 (+.f64 a b) (-.f64 b a))
(*.f64 (-.f64 b a) (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b)) a)
(*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (PI.f64))
(*.f64 (/.f64 (-.f64 b a) a) (PI.f64))
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a))
(*.f64 (*.f64 (-.f64 b a) b) (+.f64 b a))
(*.f64 (+.f64 a b) b)
(*.f64 (+.f64 b a) b)
(+.f64 a b)
(+.f64 b a)

localize87.0ms (1.9%)

Memory
2.3MiB live, 42.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(/.f64 (-.f64 b a) a)
accuracy0.12109375
(*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a))
accuracy0.1328125
(*.f64 (/.f64 (-.f64 b a) a) (PI.f64))
accuracy12.511838168472634
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a)))
accuracy0
(PI.f64)
accuracy0.265625
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy1.4964561358348072
(*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy8.839574973504053
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
accuracy0
(PI.f64)
accuracy0.5129821741554688
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a))
accuracy7.597277622311836
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)
accuracy24.739867271108558
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
accuracy0.19921875
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
accuracy0.3882403391253495
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
accuracy7.73960298021379
(*.f64 (*.f64 a a) b)
accuracy24.739867271108558
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
accuracy0.16796875
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
accuracy0.234375
(/.f64 (PI.f64) (+.f64 a b))
accuracy0.2890625
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
accuracy0.46730207049260114
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b))
Samples
61.0ms256×0valid
Compiler

Compiled 590 to 86 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 21.0ms (47.6% of total)
ival-div: 17.0ms (38.6% of total)
ival-sub: 3.0ms (6.8% of total)
ival-pi: 1.0ms (2.3% of total)
ival-add: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.7%)

Memory
-12.9MiB live, 11.5MiB allocated
Counts
22 → 140
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 b a)
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 b a) a) (PI.f64))
(/.f64 (-.f64 b a) a)
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b))
(*.f64 (*.f64 a a) b)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a))
(*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a))
Outputs
(* 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)
(PI)
(+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) 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))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(* 1/2 (* b (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
b
(+ b (* -1 a))
(* 1/2 (/ (* b (PI)) a))
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) a)
(/ (* b (PI)) a)
(/ (+ (* -1 (* a (PI))) (* b (PI))) a)
(/ b a)
(/ (+ b (* -1 a)) a)
(/ (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)
(* (pow a 2) b)
(* 1/2 (/ (PI) (pow a 2)))
(* a (pow b 3))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(pow b 3)
(+ (* a (* b (+ b (* -1 b)))) (pow b 3))
(+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))
(/ (+ (* -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 (PI))
(- (+ (* -1 (PI)) (/ (* b (PI)) a)) (* -1 (/ (* b (PI)) a)))
(- (+ (* -1 (PI)) (+ (* -1 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (/ (* b (PI)) a))) (* -1 (/ (* b (PI)) a)))
(- (+ (* -1 (PI)) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3)))) (+ (* -1 (/ (* b (PI)) a)) (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))))
(/ (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)
(* -1/2 (* a (PI)))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* -1 a)
(* a (- (/ b a) 1))
(* -1/2 (PI))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(+ (* -1 (PI)) (/ (* b (PI)) a))
-1
(- (/ b a) 1)
(* -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 (* (pow a 3) b))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* -1 (* (pow a 2) b))
(* (pow a 2) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 2) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(/ (+ (* -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)) (* -1 (/ (- (* -1 (* b (PI))) (* b (PI))) a)))
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a))) (* b (PI))) a)))
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* -1 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a))) (* b (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 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -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 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* (pow a 2) (+ (* -1 b) (* -1 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 2) (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* b (+ b (* -1 b)))) a))))
(/ (+ (* -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 (PI)) (* b (- (/ (PI) a) (* -1 (/ (PI) a)))))
(+ (* -1 (PI)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))
(+ (* -1 (PI)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 2))) (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (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))
(- b a)
(/ (+ (* -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)
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(* b (+ (* -1 (pow a 2)) (* b (+ a (* -1 a)))))
(* b (+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a))))))
(/ (+ (* -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))
(- (+ (PI) (* -1 (/ (* a (PI)) b))) (/ (* a (PI)) b))
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))) (/ (* a (PI)) b))
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3)))) (+ (/ (* a (PI)) b) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))
(/ (+ (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)
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))))
(* b (+ (* -1 (/ (PI) b)) (/ (PI) a)))
(* b (- (/ 1 a) (/ 1 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)
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* (pow b 3) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(* (pow b 3) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(/ (+ (* -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))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b)) b)))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (* -1 (/ (+ (* -1 (* a (- (* -1 (* a (PI))) (* a (PI))))) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b)) b))) 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))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))))
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) b))))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -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))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (* -1 a)) b)) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1)))
Calls

6 calls:

TimeVariablePointExpression
16.0ms
b
@inf
((* (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (/ 1/2 (- b a))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (/ (* (- b a) (* (PI) 1/2)) (* (* a b) (* (+ a b) (- b a)))) (* (- b a) (* (PI) 1/2)) (- b a) (/ (* (* (/ (- b a) a) (PI)) 1/2) (* (* (+ a b) b) (- b a))) (* (* (/ (- b a) a) (PI)) 1/2) (* (/ (- b a) a) (PI)) (/ (- b a) a) (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (* (* a a) b) (/ (* (PI) 1/2) (* a a)) (* (* a b) (* (+ a b) (- b a))) (* (* (+ a b) b) (- b a)))
4.0ms
a
@0
((* (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (/ 1/2 (- b a))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (/ (* (- b a) (* (PI) 1/2)) (* (* a b) (* (+ a b) (- b a)))) (* (- b a) (* (PI) 1/2)) (- b a) (/ (* (* (/ (- b a) a) (PI)) 1/2) (* (* (+ a b) b) (- b a))) (* (* (/ (- b a) a) (PI)) 1/2) (* (/ (- b a) a) (PI)) (/ (- b a) a) (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (* (* a a) b) (/ (* (PI) 1/2) (* a a)) (* (* a b) (* (+ a b) (- b a))) (* (* (+ a b) b) (- b a)))
4.0ms
b
@-inf
((* (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (/ 1/2 (- b a))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (/ (* (- b a) (* (PI) 1/2)) (* (* a b) (* (+ a b) (- b a)))) (* (- b a) (* (PI) 1/2)) (- b a) (/ (* (* (/ (- b a) a) (PI)) 1/2) (* (* (+ a b) b) (- b a))) (* (* (/ (- b a) a) (PI)) 1/2) (* (/ (- b a) a) (PI)) (/ (- b a) a) (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (* (* a a) b) (/ (* (PI) 1/2) (* a a)) (* (* a b) (* (+ a b) (- b a))) (* (* (+ a b) b) (- b a)))
3.0ms
a
@-inf
((* (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (/ 1/2 (- b a))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (/ (* (- b a) (* (PI) 1/2)) (* (* a b) (* (+ a b) (- b a)))) (* (- b a) (* (PI) 1/2)) (- b a) (/ (* (* (/ (- b a) a) (PI)) 1/2) (* (* (+ a b) b) (- b a))) (* (* (/ (- b a) a) (PI)) 1/2) (* (/ (- b a) a) (PI)) (/ (- b a) a) (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (* (* a a) b) (/ (* (PI) 1/2) (* a a)) (* (* a b) (* (+ a b) (- b a))) (* (* (+ a b) b) (- b a)))
3.0ms
a
@inf
((* (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (/ 1/2 (- b a))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (/ (* (- b a) (* (PI) 1/2)) (* (* a b) (* (+ a b) (- b a)))) (* (- b a) (* (PI) 1/2)) (- b a) (/ (* (* (/ (- b a) a) (PI)) 1/2) (* (* (+ a b) b) (- b a))) (* (* (/ (- b a) a) (PI)) 1/2) (* (/ (- b a) a) (PI)) (/ (- b a) a) (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (* (* a a) b) (/ (* (PI) 1/2) (* a a)) (* (* a b) (* (+ a b) (- b a))) (* (* (+ a b) b) (- b a)))

simplify127.0ms (2.7%)

Memory
0.7MiB live, 38.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06332459
120142077
262382002
083141919
Stop Event
iter limit
node limit
Counts
140 → 139
Calls
Call 1
Inputs
(* 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)
(PI)
(+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) 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))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(* 1/2 (* b (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
b
(+ b (* -1 a))
(* 1/2 (/ (* b (PI)) a))
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) a)
(/ (* b (PI)) a)
(/ (+ (* -1 (* a (PI))) (* b (PI))) a)
(/ b a)
(/ (+ b (* -1 a)) a)
(/ (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)
(* (pow a 2) b)
(* 1/2 (/ (PI) (pow a 2)))
(* a (pow b 3))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(pow b 3)
(+ (* a (* b (+ b (* -1 b)))) (pow b 3))
(+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))
(/ (+ (* -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 (PI))
(- (+ (* -1 (PI)) (/ (* b (PI)) a)) (* -1 (/ (* b (PI)) a)))
(- (+ (* -1 (PI)) (+ (* -1 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (/ (* b (PI)) a))) (* -1 (/ (* b (PI)) a)))
(- (+ (* -1 (PI)) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3)))) (+ (* -1 (/ (* b (PI)) a)) (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))))
(/ (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)
(* -1/2 (* a (PI)))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* -1 a)
(* a (- (/ b a) 1))
(* -1/2 (PI))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(+ (* -1 (PI)) (/ (* b (PI)) a))
-1
(- (/ b a) 1)
(* -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 (* (pow a 3) b))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* -1 (* (pow a 2) b))
(* (pow a 2) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 2) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(/ (+ (* -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)) (* -1 (/ (- (* -1 (* b (PI))) (* b (PI))) a)))
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a))) (* b (PI))) a)))
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* -1 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a))) (* b (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 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -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 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* (pow a 2) (+ (* -1 b) (* -1 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 2) (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (* b (+ b (* -1 b)))) a))))
(/ (+ (* -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 (PI)) (* b (- (/ (PI) a) (* -1 (/ (PI) a)))))
(+ (* -1 (PI)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))
(+ (* -1 (PI)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 2))) (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (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))
(- b a)
(/ (+ (* -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)
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(* b (+ (* -1 (pow a 2)) (* b (+ a (* -1 a)))))
(* b (+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a))))))
(/ (+ (* -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))
(- (+ (PI) (* -1 (/ (* a (PI)) b))) (/ (* a (PI)) b))
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))) (/ (* a (PI)) b))
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3)))) (+ (/ (* a (PI)) b) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))
(/ (+ (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)
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))))
(* b (+ (* -1 (/ (PI) b)) (/ (PI) a)))
(* b (- (/ 1 a) (/ 1 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)
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* (pow b 3) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(* (pow b 3) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(/ (+ (* -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))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b)) b)))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (* -1 (/ (+ (* -1 (* a (- (* -1 (* a (PI))) (* a (PI))))) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b)) b))) 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))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))))
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) b))))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -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))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (* -1 a)) b)) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1)))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(PI)
(PI.f64)
(+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))
(fma.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal -2 binary64)) a (PI.f64))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) a (*.f64 #s(literal -2 binary64) (PI.f64))) b) a (PI.f64))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a (*.f64 (/.f64 (PI.f64) b) #s(literal -2 binary64))) a (PI.f64))
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b)
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (neg.f64 (PI.f64)) (*.f64 b b))) a (/.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 (fma.f64 (fma.f64 (neg.f64 (PI.f64)) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 (PI.f64)) (*.f64 b b))) a (/.f64 (PI.f64) b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ 1/2 (* (pow a 2) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
(* 1/2 (* b (PI)))
(*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)))
b
(+ b (* -1 a))
(-.f64 b a)
(* 1/2 (/ (* b (PI)) a))
(*.f64 (/.f64 (*.f64 (PI.f64) b) a) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) a)
(/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b))) a)
(/ (* b (PI)) a)
(/.f64 (*.f64 (PI.f64) b) a)
(/ (+ (* -1 (* a (PI))) (* b (PI))) a)
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) a)
(/ b a)
(/.f64 b a)
(/ (+ b (* -1 a)) a)
(/.f64 (-.f64 b a) a)
(/ (PI) (* a b))
(/.f64 (/.f64 (PI.f64) b) a)
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) 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)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a (/.f64 (PI.f64) 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64)) a (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a (/.f64 (PI.f64) b)) a)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* 1/2 (/ (PI) (pow a 2)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))
(* a (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) a)
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(*.f64 (pow.f64 b #s(literal 3 binary64)) a)
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(*.f64 (*.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) b) a)
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
(+ (* a (* b (+ b (* -1 b)))) (pow b 3))
(pow.f64 b #s(literal 3 binary64))
(+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))
(*.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a)
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 b b))) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) (*.f64 a a))
(* -1 (PI))
(neg.f64 (PI.f64))
(- (+ (* -1 (PI)) (/ (* b (PI)) a)) (* -1 (/ (* b (PI)) a)))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) b)) a) (PI.f64))
(- (+ (* -1 (PI)) (+ (* -1 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (/ (* b (PI)) a))) (* -1 (/ (* b (PI)) a)))
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) (*.f64 a a))) b (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a))) b (neg.f64 (PI.f64)))
(- (+ (* -1 (PI)) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3)))) (+ (* -1 (/ (* b (PI)) a)) (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))))
(-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 3 binary64))) (*.f64 b b) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) (*.f64 a a))) b (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a))) b)) (PI.f64))
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/.f64 (fma.f64 (/.f64 (neg.f64 (PI.f64)) a) b (PI.f64)) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) b (*.f64 b (/.f64 (*.f64 (PI.f64) b) a))) a) (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 (fma.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) b (*.f64 b (/.f64 (*.f64 (PI.f64) b) a))) a) (PI.f64))) a)
(* -1/2 (* a (PI)))
(*.f64 (*.f64 (PI.f64) a) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) a)
(* -1 a)
(neg.f64 a)
(* a (- (/ b a) 1))
(*.f64 (/.f64 (-.f64 b a) a) a)
(* -1/2 (PI))
(*.f64 #s(literal -1/2 binary64) (PI.f64))
(+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))
(fma.f64 (/.f64 (*.f64 (PI.f64) b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(+ (* -1 (PI)) (/ (* b (PI)) a))
(fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64)))
-1
#s(literal -1 binary64)
(- (/ b a) 1)
(/.f64 (-.f64 b a) a)
(* -1 (/ (PI) (* a b)))
(/.f64 (PI.f64) (*.f64 (neg.f64 b) a))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a) (/.f64 (neg.f64 (PI.f64)) b)) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)
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(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) b)
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -2 binary64) (/.f64 (PI.f64) a)) b)
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) a (*.f64 #s(literal -2 binary64) (PI.f64))) b) (/.f64 (PI.f64) a)) 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))
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal -2 binary64)) a) a (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) a)) b) (PI.f64)) (PI.f64)) b) (/.f64 (PI.f64) a)) b)
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(*.f64 (pow.f64 b #s(literal 3 binary64)) a)
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(*.f64 (-.f64 a (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) b)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (* -1 a)) b)) 1)))
(pow.f64 b #s(literal 3 binary64))
(* -1 (* (pow b 3) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1)))
(*.f64 (neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64))) (pow.f64 b #s(literal 3 binary64)))

rewrite152.0ms (3.2%)

Memory
2.9MiB live, 74.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044238
070234
1311204
22972204
08394204
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 714
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 b a)
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 b a) a) (PI.f64))
(/.f64 (-.f64 b a) a)
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b))
(*.f64 (*.f64 a a) b)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a))
(*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a))
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 b a) b) (/.f64 (-.f64 b a) a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 b a) b) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b a) (*.f64 (/.f64 (-.f64 b a) a) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 b a) (*.f64 (/.f64 (-.f64 b a) a) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 b a) b) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 b a) a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 b a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 (-.f64 b a) a) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 b a) b) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 b a) (/.f64 (-.f64 b a) a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 b a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 b a) b) (*.f64 (/.f64 (-.f64 b a) a) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (-.f64 b a) (PI.f64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b a) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (-.f64 b a) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b a) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 b a) (*.f64 (-.f64 b a) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (+.f64 b a) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) b) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) b) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b a))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) b) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 b b (*.f64 a a)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) b) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (pow.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) a)) (/.f64 (-.f64 b a) b))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 (pow.f64 (*.f64 (+.f64 b a) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a))
(*.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a (+.f64 b a)))) (/.f64 (-.f64 b a) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 b a)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b a)) (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b a)))
(*.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) b)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (+.f64 b a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) b)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) (+.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 b a) b)))
(*.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) b)) (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (-.f64 b a) b)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (/.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) b)) (-.f64 b a)) (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) b) (+.f64 b a)) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) b) (+.f64 b a))))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a)))) (pow.f64 (*.f64 b a) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) b) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a))))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal -1 binary64)) (-.f64 b a))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) b) a))
(*.f64 (/.f64 (pow.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal -1 binary64)) (-.f64 b a)) (pow.f64 (pow.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal -1 binary64)) (-.f64 b a)) (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 b a) b) #s(literal -1 binary64)) (-.f64 b a)) (pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 b a) b) #s(literal -1 binary64)) (-.f64 b a)) (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 b a) b) (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) b) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(*.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (-.f64 b a))))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) a) (*.f64 (/.f64 (-.f64 b a) b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(*.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (neg.f64 (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 b a) a) (PI.f64))) (pow.f64 (*.f64 (neg.f64 (+.f64 b a)) (*.f64 (-.f64 b a) b)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 b a) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (+.f64 b a) b) #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) b)) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) a) (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) b) (+.f64 b a)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 b a) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 (-.f64 b a) b) (+.f64 b a))))
(*.f64 (/.f64 (-.f64 b a) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (pow.f64 (*.f64 (+.f64 b a) b) #s(literal -1 binary64)) (-.f64 b a))))
(*.f64 (/.f64 (-.f64 b a) a) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) b)) (-.f64 b a))))
(*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (pow.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 b a) (/.f64 (pow.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal -1 binary64)) (-.f64 b a))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) b) (+.f64 b a)) (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) b))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) b) (/.f64 (-.f64 b a) a)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (-.f64 b a) b) (+.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) b) (/.f64 (-.f64 b a) a))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (/.f64 (pow.f64 (*.f64 (+.f64 b a) b) #s(literal -1 binary64)) (-.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (-.f64 b a) (+.f64 b a)))))
(*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) b) (/.f64 (-.f64 b a) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
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(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 a a) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 a a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 a a) #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (*.f64 a a) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) a) b)
(*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a))
(*.f64 (*.f64 (*.f64 b a) (-.f64 b a)) (+.f64 b a))
(*.f64 (*.f64 (*.f64 (-.f64 b a) b) (+.f64 b a)) a)
(*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))
(*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))
(*.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a))))
(*.f64 (+.f64 b a) (*.f64 (*.f64 b a) (-.f64 b a)))
(*.f64 b (*.f64 a (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 a (*.f64 (*.f64 (-.f64 b a) b) (+.f64 b a)))
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 a) (*.f64 b (*.f64 a (+.f64 b a)))) #s(literal 3 binary64))) (fma.f64 (*.f64 b (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 b (*.f64 b (*.f64 a (+.f64 b a)))) (-.f64 (*.f64 (*.f64 (neg.f64 a) (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (neg.f64 a) (*.f64 b (*.f64 a (+.f64 b a))))) (*.f64 (*.f64 b (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (neg.f64 a) (*.f64 b (*.f64 a (+.f64 b a))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) b) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) b) (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (neg.f64 a)) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (neg.f64 a))) (*.f64 (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) b) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (neg.f64 a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b a) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 b a) (*.f64 b b)) (*.f64 (*.f64 b a) (*.f64 b b)) (-.f64 (*.f64 (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) a)) (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) a))) (*.f64 (*.f64 (*.f64 b a) (*.f64 b b)) (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) (*.f64 b a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 a) a) (*.f64 b a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b a)) (*.f64 (*.f64 b b) (*.f64 b a)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 a) a) (*.f64 b a)) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 b a))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b a)) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 b a))) (neg.f64 (fma.f64 b b (*.f64 a a))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 b a))) (neg.f64 (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (*.f64 b a) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (neg.f64 (fma.f64 b b (*.f64 a a))))
(/.f64 (neg.f64 (*.f64 (*.f64 b a) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 b a)) (fma.f64 b b (*.f64 a a)))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 b a)) (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b a))
(/.f64 (*.f64 (*.f64 b a) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 b b (*.f64 a a)))
(/.f64 (*.f64 (*.f64 b a) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 b (*.f64 a (+.f64 b a))) b (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (neg.f64 a)))
(fma.f64 (*.f64 b b) (*.f64 b a) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 b a)))
(fma.f64 (*.f64 b a) (*.f64 b b) (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) a)))
(fma.f64 b (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (neg.f64 a) (*.f64 b (*.f64 a (+.f64 b a)))))
(+.f64 (*.f64 b (*.f64 b (*.f64 a (+.f64 b a)))) (*.f64 (neg.f64 a) (*.f64 b (*.f64 a (+.f64 b a)))))
(+.f64 (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) b) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (neg.f64 a)))
(+.f64 (*.f64 (*.f64 b a) (*.f64 b b)) (*.f64 (*.f64 b a) (*.f64 (neg.f64 a) a)))
(+.f64 (*.f64 (*.f64 b b) (*.f64 b a)) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 b a)))
(*.f64 (*.f64 (-.f64 b a) b) (+.f64 b a))
(*.f64 (*.f64 (+.f64 b a) b) (-.f64 b a))
(*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) b)
(*.f64 (-.f64 b a) (*.f64 (+.f64 b a) b))
(*.f64 (+.f64 b a) (*.f64 (-.f64 b a) b))
(*.f64 b (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 (+.f64 b a) b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 a) (*.f64 (+.f64 b a) b)) #s(literal 3 binary64))) (fma.f64 (*.f64 b (*.f64 (+.f64 b a) b)) (*.f64 b (*.f64 (+.f64 b a) b)) (-.f64 (*.f64 (*.f64 (neg.f64 a) (*.f64 (+.f64 b a) b)) (*.f64 (neg.f64 a) (*.f64 (+.f64 b a) b))) (*.f64 (*.f64 b (*.f64 (+.f64 b a) b)) (*.f64 (neg.f64 a) (*.f64 (+.f64 b a) b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 b a) b) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 b a) b) (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (+.f64 b a) b) b) (*.f64 (*.f64 (+.f64 b a) b) b) (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) b) (neg.f64 a)) (*.f64 (*.f64 (+.f64 b a) b) (neg.f64 a))) (*.f64 (*.f64 (*.f64 (+.f64 b a) b) b) (*.f64 (*.f64 (+.f64 b a) b) (neg.f64 a))))))
(/.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 (*.f64 a (*.f64 (neg.f64 b) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 a (*.f64 (neg.f64 b) a)) (*.f64 a (*.f64 (neg.f64 b) a))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a (*.f64 (neg.f64 b) a))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (+.f64 b a) b))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (+.f64 b a) b))) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (-.f64 b a) b))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (-.f64 b a) b))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b a) b) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b a) b) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 b (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (neg.f64 (fma.f64 b b (*.f64 a a))))
(/.f64 (neg.f64 (*.f64 b (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (+.f64 b a) b)) (fma.f64 b b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (+.f64 b a) b)) (+.f64 b a))
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (-.f64 b a) b)) (-.f64 a b))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (-.f64 b a) b)) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(/.f64 (*.f64 (*.f64 (+.f64 b a) b) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (*.f64 (+.f64 b a) b) (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b a))
(/.f64 (*.f64 b (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 b b (*.f64 a a)))
(/.f64 (*.f64 b (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 a (*.f64 (neg.f64 b) a)))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 a (*.f64 (neg.f64 b) a)))
(fma.f64 (*.f64 (+.f64 b a) b) b (*.f64 (*.f64 (+.f64 b a) b) (neg.f64 a)))
(fma.f64 (*.f64 b b) b (*.f64 a (*.f64 (neg.f64 b) a)))
(fma.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)) (*.f64 a (*.f64 (neg.f64 b) a)))
(fma.f64 b (*.f64 (+.f64 b a) b) (*.f64 (neg.f64 a) (*.f64 (+.f64 b a) b)))
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 (neg.f64 b) a)))
(+.f64 (*.f64 b (*.f64 (+.f64 b a) b)) (*.f64 (neg.f64 a) (*.f64 (+.f64 b a) b)))
(+.f64 (*.f64 (*.f64 (+.f64 b a) b) b) (*.f64 (*.f64 (+.f64 b a) b) (neg.f64 a)))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a (*.f64 (neg.f64 b) a)))

eval181.0ms (3.8%)

Memory
9.6MiB live, 146.8MiB allocated
Compiler

Compiled 47 875 to 5 597 computations (88.3% saved)

prune32.0ms (0.7%)

Memory
-3.1MiB live, 68.6MiB allocated
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New1 642121 654
Fresh9514
Picked325
Done112
Total1 655201 675
Accuracy
100.0%
Counts
1 675 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.3%
(/.f64 #s(approx (* (* (/ (- b a) a) (PI)) 1/2) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a)))
98.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a)))
63.0%
(*.f64 (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
85.0%
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a))))
85.1%
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
67.1%
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
63.0%
(*.f64 #s(approx (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
63.0%
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
58.0%
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
53.9%
#s(approx (* (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (/ 1/2 (- b a))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64))) b) b))
57.8%
#s(approx (* (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (/ 1/2 (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
56.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
60.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) a)))
60.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
56.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
61.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
61.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
56.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a a))))
60.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
56.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
Compiler

Compiled 1 011 to 704 computations (30.4% saved)

simplify93.0ms (2%)

Memory
3.2MiB live, 25.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(-.f64 b a)
cost-diff0
(*.f64 (-.f64 b a) (PI.f64))
cost-diff1792
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a))))
cost-diff0
(/.f64 (PI.f64) a)
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
cost-diff384
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
cost-diff384
(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) a)
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
cost-diff384
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.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
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff0
(*.f64 b a)
cost-diff0
(/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
cost-diff1088
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042284
065278
1137272
2411268
31723265
46211265
08346265
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a)))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a))
(/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 b a)
b
a
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(+.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) 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
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(/.f64 (PI.f64) a)
(PI.f64)
a
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
#s(literal 1/2 binary64)
(*.f64 b a)
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (PI.f64) a)
(PI.f64)
a
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
b
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a))))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
b
a
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a))
(*.f64 b (*.f64 a (+.f64 b a)))
(*.f64 a (+.f64 b a))
(+.f64 b a)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) b)) (PI.f64))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a))
(*.f64 (*.f64 (/.f64 (+.f64 a b) #s(literal 1/2 binary64)) b) (/.f64 a (PI.f64)))
(/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (*.f64 (/.f64 b (PI.f64)) #s(literal 2 binary64)) a)
(*.f64 b a)
(*.f64 a b)
b
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 b a)
(+.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
#s(literal 1/2 binary64)
(*.f64 (*.f64 b a) a)
(*.f64 (*.f64 a a) b)
(*.f64 b a)
(*.f64 a b)
b
a
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 (PI.f64) a)
(PI.f64)
a
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
#s(literal 1/2 binary64)
(*.f64 b a)
(*.f64 a b)
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 (PI.f64) a)
(PI.f64)
a
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
b
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) b)) (PI.f64))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
b
a
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a)))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a) (*.f64 (+.f64 a b) b))
#s(literal 1/2 binary64)
(*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a))
(*.f64 (*.f64 (-.f64 b a) a) (*.f64 (+.f64 a b) b))
(*.f64 b (*.f64 a (+.f64 b a)))
(*.f64 (*.f64 (+.f64 a b) a) b)
(*.f64 a (+.f64 b a))
(*.f64 (+.f64 a b) a)
(+.f64 b a)
(+.f64 a b)

localize85.0ms (1.8%)

Memory
-6.9MiB live, 39.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.265625
(*.f64 (-.f64 b a) (PI.f64))
accuracy0.4260486072891299
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a)))
accuracy2.937488020938306
(*.f64 b (*.f64 a (+.f64 b a)))
accuracy8.396862648741996
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a))))
accuracy0.193691259768442
(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
accuracy0.2109375
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
accuracy0.25390625
(/.f64 (PI.f64) a)
accuracy24.739867271108558
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
accuracy0.193691259768442
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
accuracy0.25390625
(/.f64 (PI.f64) a)
accuracy0.41798725183595037
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
accuracy24.739867271108558
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
accuracy0.140625
(*.f64 (*.f64 b a) a)
accuracy0.19921875
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
accuracy0.3882403391253495
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))
accuracy24.739867271108558
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
accuracy0
(PI.f64)
accuracy0.1328125
(*.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a))
accuracy0.234375
(/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy0.9161060622151517
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a)))
Samples
61.0ms256×0valid
Compiler

Compiled 540 to 83 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 21.0ms (46.9% of total)
ival-div: 18.0ms (40.2% of total)
ival-sub: 3.0ms (6.7% of total)
ival-pi: 1.0ms (2.2% of total)
ival-add: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.5%)

Memory
-1.4MiB live, 13.5MiB allocated
Counts
22 → 70
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a)))
(/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 b a)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) 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))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(/.f64 (PI.f64) a)
(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a))))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
(*.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a))
(*.f64 (*.f64 b a) a)
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(*.f64 b (*.f64 a (+.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a)))
Outputs
(* 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)
(* 2 (/ (* a b) (PI)))
(* a b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(/ (PI) a)
(/ 1/2 (* a b))
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
b
(+ b (* -1 a))
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* (pow a 2) b)
(* a (pow b 2))
(* a (+ (* a b) (pow b 2)))
(/ 1/2 (* a (pow b 3)))
(/ (+ (* -1/2 (/ (* a (+ b (* -1 b))) (pow b 5))) (* 1/2 (/ 1 (pow b 3)))) a)
(/ (+ (* a (- (* a (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(/ (+ (* a (- (* a (- (+ (* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (pow b 7))) (/ (* (+ b (* -1 b)) (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (pow b 2))))) (* 1/2 (/ 1 (pow b 5)))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(/ (+ (* -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 (* a (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(* -1 a)
(* a (- (/ b a) 1))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(/ -1/2 (* (pow a 3) b))
(/ (- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3)))) (* 1/2 (/ 1 b))) (pow a 3))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))))) (* 1/2 (/ 1 b))) (pow a 3))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (/ (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3)))
(* -1 (/ (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* 1/2 (* b (+ b (* -1 b))))) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (pow a 3)))
(/ (+ (* -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)
(- b a)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* b (+ (* a b) (pow a 2)))
(/ (- (* -1/2 (/ (* b (+ a (* -1 a))) (pow a 5))) (* 1/2 (/ 1 (pow a 3)))) b)
(/ (- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (pow a 5))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 5))))) (* 1/2 (/ 1 (pow a 3)))) b)
(/ (- (* b (- (* b (- (* -1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 7))) (/ (* (+ a (* -1 a)) (+ (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7))) (* 1/2 (/ 1 (pow a 5))))) (pow a 2))))) (+ (* 1/2 (/ 1 (pow a 5))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 5))))) (* 1/2 (/ 1 (pow a 3)))) b)
(/ (+ (* -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))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(* b (+ 1 (* -1 (/ a b))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3))
(/ (+ (* -1/2 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (pow b 3))
(/ (+ (* -1/2 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (* -1/2 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))))) (pow b 3))
(/ (+ (* -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 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (/ (- (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3)))
(* -1 (/ (- (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ (* a (+ a (* -1 a))) (pow b 3)))) (* 1/2 (/ 1 a))) (pow b 3)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* a (+ a (* -1 a)))) (* 1/2 (/ (+ (* a (pow (+ a (* -1 a)) 2)) (pow a 3)) b))) (pow b 3))) (* -1/2 (/ a (pow b 2)))) (* 1/2 (/ 1 a))) (pow b 3)))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
b
@-inf
((/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (/ (* b a) (* 1/2 (PI))) (* b a) (* 1/2 (PI)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (PI) (/ 1/2 (* (* b a) a)) (* (/ (PI) a) (/ 1/2 (* b a))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (* (/ (PI) a) (/ (/ 1/2 a) b)) (/ (/ 1/2 a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (* (- b a) (PI)) (/ 1/2 (* (* b (* a (+ b a))) (- b a)))) (* (- b a) (PI)) (- b a) (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (* (* b a) a) (/ 1/2 (* b a)) (* b (* a (+ b a))) (/ 1/2 (* (* b (* a (+ b a))) (- b a))))
4.0ms
a
@inf
((/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (/ (* b a) (* 1/2 (PI))) (* b a) (* 1/2 (PI)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (PI) (/ 1/2 (* (* b a) a)) (* (/ (PI) a) (/ 1/2 (* b a))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (* (/ (PI) a) (/ (/ 1/2 a) b)) (/ (/ 1/2 a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (* (- b a) (PI)) (/ 1/2 (* (* b (* a (+ b a))) (- b a)))) (* (- b a) (PI)) (- b a) (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (* (* b a) a) (/ 1/2 (* b a)) (* b (* a (+ b a))) (/ 1/2 (* (* b (* a (+ b a))) (- b a))))
4.0ms
a
@-inf
((/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (/ (* b a) (* 1/2 (PI))) (* b a) (* 1/2 (PI)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (PI) (/ 1/2 (* (* b a) a)) (* (/ (PI) a) (/ 1/2 (* b a))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (* (/ (PI) a) (/ (/ 1/2 a) b)) (/ (/ 1/2 a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (* (- b a) (PI)) (/ 1/2 (* (* b (* a (+ b a))) (- b a)))) (* (- b a) (PI)) (- b a) (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (* (* b a) a) (/ 1/2 (* b a)) (* b (* a (+ b a))) (/ 1/2 (* (* b (* a (+ b a))) (- b a))))
4.0ms
a
@0
((/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (/ (* b a) (* 1/2 (PI))) (* b a) (* 1/2 (PI)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (PI) (/ 1/2 (* (* b a) a)) (* (/ (PI) a) (/ 1/2 (* b a))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (* (/ (PI) a) (/ (/ 1/2 a) b)) (/ (/ 1/2 a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (* (- b a) (PI)) (/ 1/2 (* (* b (* a (+ b a))) (- b a)))) (* (- b a) (PI)) (- b a) (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (* (* b a) a) (/ 1/2 (* b a)) (* b (* a (+ b a))) (/ 1/2 (* (* b (* a (+ b a))) (- b a))))
3.0ms
b
@inf
((/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (/ (* b a) (* 1/2 (PI))) (* b a) (* 1/2 (PI)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (PI) (/ 1/2 (* (* b a) a)) (* (/ (PI) a) (/ 1/2 (* b a))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (* (/ (PI) a) (/ (/ 1/2 a) b)) (/ (/ 1/2 a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (* (- b a) (PI)) (/ 1/2 (* (* b (* a (+ b a))) (- b a)))) (* (- b a) (PI)) (- b a) (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (* (* b a) a) (/ 1/2 (* b a)) (* b (* a (+ b a))) (/ 1/2 (* (* b (* a (+ b a))) (- b a))))

simplify92.0ms (2%)

Memory
8.3MiB live, 29.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03701205
110851082
23675994
08457946
Stop Event
iter limit
node limit
Counts
70 → 69
Calls
Call 1
Inputs
(* 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)
(* 2 (/ (* a b) (PI)))
(* a b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(/ (PI) a)
(/ 1/2 (* a b))
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
b
(+ b (* -1 a))
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* (pow a 2) b)
(* a (pow b 2))
(* a (+ (* a b) (pow b 2)))
(/ 1/2 (* a (pow b 3)))
(/ (+ (* -1/2 (/ (* a (+ b (* -1 b))) (pow b 5))) (* 1/2 (/ 1 (pow b 3)))) a)
(/ (+ (* a (- (* a (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(/ (+ (* a (- (* a (- (+ (* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (pow b 7))) (/ (* (+ b (* -1 b)) (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (pow b 2))))) (* 1/2 (/ 1 (pow b 5)))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(/ (+ (* -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 (* a (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(* -1 a)
(* a (- (/ b a) 1))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(/ -1/2 (* (pow a 3) b))
(/ (- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3)))) (* 1/2 (/ 1 b))) (pow a 3))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))))) (* 1/2 (/ 1 b))) (pow a 3))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (/ (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3)))
(* -1 (/ (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* 1/2 (* b (+ b (* -1 b))))) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (pow a 3)))
(/ (+ (* -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)
(- b a)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* b (+ (* a b) (pow a 2)))
(/ (- (* -1/2 (/ (* b (+ a (* -1 a))) (pow a 5))) (* 1/2 (/ 1 (pow a 3)))) b)
(/ (- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (pow a 5))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 5))))) (* 1/2 (/ 1 (pow a 3)))) b)
(/ (- (* b (- (* b (- (* -1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 7))) (/ (* (+ a (* -1 a)) (+ (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7))) (* 1/2 (/ 1 (pow a 5))))) (pow a 2))))) (+ (* 1/2 (/ 1 (pow a 5))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 5))))) (* 1/2 (/ 1 (pow a 3)))) b)
(/ (+ (* -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))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(* b (+ 1 (* -1 (/ a b))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3))
(/ (+ (* -1/2 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (pow b 3))
(/ (+ (* -1/2 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (* -1/2 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))))) (pow b 3))
(/ (+ (* -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 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (/ (- (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3)))
(* -1 (/ (- (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ (* a (+ a (* -1 a))) (pow b 3)))) (* 1/2 (/ 1 a))) (pow b 3)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* a (+ a (* -1 a)))) (* 1/2 (/ (+ (* a (pow (+ a (* -1 a)) 2)) (pow a 3)) b))) (pow b 3))) (* -1/2 (/ a (pow b 2)))) (* 1/2 (/ 1 a))) (pow b 3)))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(* 2 (/ (* a b) (PI)))
(*.f64 (/.f64 (*.f64 a b) (PI.f64)) #s(literal 2 binary64))
(* a b)
(*.f64 a b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ 1/2 (* (pow a 2) b))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) b)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(* b (PI))
(*.f64 (PI.f64) b)
(+ (* -1 (* a (PI))) (* b (PI)))
(*.f64 (PI.f64) (-.f64 b a))
b
(+ b (* -1 a))
(-.f64 b a)
(* 2 (/ (* a (pow b 2)) (PI)))
(*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* a (pow b 2))
(*.f64 (*.f64 b b) a)
(* a (+ (* a b) (pow b 2)))
(*.f64 (*.f64 a (+.f64 a b)) b)
(/ 1/2 (* a (pow b 3)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) a)
(/ (+ (* -1/2 (/ (* a (+ b (* -1 b))) (pow b 5))) (* 1/2 (/ 1 (pow b 3)))) a)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 0 binary64)) a)
(/ (+ (* a (- (* a (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64))) a #s(literal 0 binary64)) a (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a)
(/ (+ (* a (- (* a (- (+ (* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (pow b 7))) (/ (* (+ b (* -1 b)) (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (pow b 2))))) (* 1/2 (/ 1 (pow b 5)))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64))) a #s(literal 0 binary64)) a (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) 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 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))) (*.f64 a a))
(* -1 (* a (PI)))
(*.f64 (neg.f64 (PI.f64)) a)
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(*.f64 (*.f64 (PI.f64) (-.f64 (/.f64 b a) #s(literal 1 binary64))) a)
(* -1 a)
(neg.f64 a)
(* a (- (/ b a) 1))
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(* 2 (/ (* (pow a 2) b) (PI)))
(*.f64 (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)) b)
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 b (PI.f64))))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 (*.f64 (fma.f64 b (/.f64 b a) b) a) a)
(/ -1/2 (* (pow a 3) b))
(/.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64))) b)
(/ (- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3))
(/.f64 (fma.f64 (/.f64 (/.f64 b a) a) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3)))) (* 1/2 (/ 1 b))) (pow a 3))
(/.f64 (fma.f64 (/.f64 (/.f64 b a) a) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))))) (* 1/2 (/ 1 b))) (pow a 3))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (/.f64 b a) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 a))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 b (/.f64 b a))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (neg.f64 a))) (neg.f64 a))) (*.f64 a a))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(*.f64 (*.f64 (PI.f64) (-.f64 (/.f64 b a) #s(literal 1 binary64))) a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(* -1 (/ (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3)))
(/.f64 (fma.f64 (/.f64 (/.f64 b a) a) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (/ (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (pow a 3)))
(/.f64 (fma.f64 (/.f64 (/.f64 b a) a) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* 1/2 (* b (+ b (* -1 b))))) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (pow a 3)))
(/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 b a) a) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(- b a)
(-.f64 b a)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))
(* b (+ (* a b) (pow a 2)))
(*.f64 (*.f64 a (+.f64 a b)) b)
(/ (- (* -1/2 (/ (* b (+ a (* -1 a))) (pow a 5))) (* 1/2 (/ 1 (pow a 3)))) b)
(/.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64))) b)
(/ (- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (pow a 5))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 5))))) (* 1/2 (/ 1 (pow a 3)))) b)
(fma.f64 (*.f64 (/.f64 b (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64))) b))
(/ (- (* b (- (* b (- (* -1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 7))) (/ (* (+ a (* -1 a)) (+ (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7))) (* 1/2 (/ 1 (pow a 5))))) (pow a 2))))) (+ (* 1/2 (/ 1 (pow a 5))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 5))))) (* 1/2 (/ 1 (pow a 3)))) b)
(fma.f64 (*.f64 (/.f64 b (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64))) b))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) 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 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) 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 #s(literal -1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) b) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))) (*.f64 b b))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(*.f64 (fma.f64 (neg.f64 (PI.f64)) (/.f64 a b) (PI.f64)) b)
(* b (+ 1 (* -1 (/ a b))))
(fma.f64 (/.f64 (neg.f64 a) b) b b)
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) b) b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 a (PI.f64))))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 (*.f64 (fma.f64 a (/.f64 a b) a) b) b)
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3))
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (* -1/2 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (pow b 3))
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (* -1/2 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (* -1/2 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))))) (pow b 3))
(/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (/.f64 a b) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 a (/.f64 a b))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(*.f64 (fma.f64 (neg.f64 (PI.f64)) (/.f64 a b) (PI.f64)) b)
(* -1 (* b (- (/ a b) 1)))
(fma.f64 (/.f64 (neg.f64 a) b) b b)
(* -1 (/ (- (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3)))
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (- (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ (* a (+ a (* -1 a))) (pow b 3)))) (* 1/2 (/ 1 a))) (pow b 3)))
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* a (+ a (* -1 a)))) (* 1/2 (/ (+ (* a (pow (+ a (* -1 a)) 2)) (pow a 3)) b))) (pow b 3))) (* -1/2 (/ a (pow b 2)))) (* 1/2 (/ 1 a))) (pow b 3)))
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) #s(literal 1/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (pow.f64 b #s(literal 3 binary64))))

rewrite153.0ms (3.2%)

Memory
-3.4MiB live, 66.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042230
065224
1276222
22379198
08797198
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 358
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a)))
(/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 b a)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) 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))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(/.f64 (PI.f64) a)
(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a))))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
(*.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a))
(*.f64 (*.f64 b a) a)
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(*.f64 b (*.f64 a (+.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a)))
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (neg.f64 (PI.f64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (PI.f64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (*.f64 (+.f64 a b) (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (PI.f64) a))
(*.f64 (pow.f64 (*.f64 (+.f64 a b) b) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 a (PI.f64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 a b) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a b) a) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 b (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 b (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 a b) a) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a b) a) (PI.f64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (pow.f64 (*.f64 (+.f64 a b) a) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64)) (*.f64 (-.f64 b a) (+.f64 a b))) (-.f64 b a))
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (PI.f64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (PI.f64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a b) a) b) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (pow.f64 (*.f64 (/.f64 a (PI.f64)) (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (pow.f64 (/.f64 (*.f64 (+.f64 a b) a) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (pow.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 a b) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 a (PI.f64)) #s(literal 2 binary64)) (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64)) (+.f64 a b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64)) (+.f64 a b)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (PI.f64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (PI.f64)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (PI.f64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (PI.f64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (PI.f64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 (*.f64 a b) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64)))) (neg.f64 (neg.f64 (+.f64 a b))))
(/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 a b) (PI.f64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64))) (neg.f64 (+.f64 a b)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64)) (+.f64 a b))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (*.f64 (*.f64 (+.f64 a b) a) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a b) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (PI.f64)) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal -1 binary64)) (*.f64 a #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 (/.f64 (*.f64 a b) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 (*.f64 b #s(literal 2 binary64)) a))
(*.f64 (/.f64 (*.f64 a b) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 (/.f64 (*.f64 a b) (PI.f64)) #s(literal 2 binary64))
(*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 a (PI.f64)) #s(literal 2 binary64)) b)
(*.f64 (*.f64 (*.f64 b #s(literal 2 binary64)) a) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.f64 (*.f64 a #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) b) #s(literal -1 binary64)))
(*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 b (PI.f64)))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (pow.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 a b))
(*.f64 (/.f64 a (PI.f64)) (*.f64 b #s(literal 2 binary64)))
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 a (PI.f64)))
(*.f64 (*.f64 (neg.f64 b) a) (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal -1 binary64)))
(*.f64 (*.f64 a b) (/.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 a (/.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(*.f64 a (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))))
(*.f64 b (*.f64 (/.f64 a (PI.f64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 a b) (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64))
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a b) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a b) b) (*.f64 (*.f64 a b) b) (-.f64 (*.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 a a) b)) (*.f64 (*.f64 (*.f64 a b) b) (*.f64 (*.f64 a a) b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 a b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 3 binary64))) (fma.f64 (*.f64 b (*.f64 a b)) (*.f64 b (*.f64 a b)) (-.f64 (*.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 a a) b)) (*.f64 (*.f64 b (*.f64 a b)) (*.f64 (*.f64 a a) b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a b) b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 a a) b) (-.f64 (*.f64 (*.f64 (*.f64 a b) b) (*.f64 (*.f64 a b) b)) (*.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 a b) b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 b (*.f64 a b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 a a) b) (-.f64 (*.f64 (*.f64 b (*.f64 a b)) (*.f64 b (*.f64 a b))) (*.f64 (*.f64 (*.f64 a a) b) (*.f64 b (*.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (*.f64 (*.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (+.f64 a b) a) b)) (-.f64 b a)) (neg.f64 (-.f64 b a)))
(/.f64 (*.f64 (*.f64 (-.f64 b a) b) (*.f64 (+.f64 a b) a)) (-.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (*.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) b) (*.f64 (+.f64 a b) a))))
(fma.f64 (*.f64 a a) b (*.f64 (*.f64 a b) b))
(fma.f64 (*.f64 a a) b (*.f64 b (*.f64 a b)))
(fma.f64 (*.f64 a b) a (*.f64 (*.f64 a b) b))
(fma.f64 (*.f64 a b) a (*.f64 b (*.f64 a b)))
(fma.f64 (*.f64 a b) b (*.f64 (*.f64 a a) b))
(fma.f64 a (*.f64 a b) (*.f64 (*.f64 a b) b))
(fma.f64 a (*.f64 a b) (*.f64 b (*.f64 a b)))
(fma.f64 b (*.f64 a a) (*.f64 (*.f64 a b) b))
(fma.f64 b (*.f64 a a) (*.f64 b (*.f64 a b)))
(fma.f64 b (*.f64 a b) (*.f64 (*.f64 a a) b))
(+.f64 (*.f64 (*.f64 a b) b) (*.f64 (*.f64 a a) b))
(+.f64 (*.f64 b (*.f64 a b)) (*.f64 (*.f64 a a) b))
(+.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 a b) b))
(+.f64 (*.f64 (*.f64 a a) b) (*.f64 b (*.f64 a b)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (*.f64 b b)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) b)) (*.f64 (-.f64 b a) (+.f64 a b))) (+.f64 a b))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a b) a) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) b)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a b) a) b) #s(literal -1 binary64)) (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (+.f64 a b) a) b)) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) (-.f64 b a)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a b) a) b) #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) a) b)))
(pow.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) a) b)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) b)))) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) a) b))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 (*.f64 (*.f64 (+.f64 a b) a) (-.f64 b a))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) b))) (neg.f64 (-.f64 b a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 (+.f64 a b) a) (-.f64 b a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) b)) (-.f64 b a))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (+.f64 a b) a) b)) (-.f64 b a)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 (+.f64 a b) a) b)) (-.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (+.f64 a b) a) b)) (-.f64 b a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 b a) b) (*.f64 (+.f64 a b) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) a) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (-.f64 b a) b) (*.f64 (+.f64 a b) a))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) a) b) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))

eval143.0ms (3%)

Memory
4.7MiB live, 114.2MiB allocated
Compiler

Compiled 36 397 to 4 281 computations (88.2% saved)

prune39.0ms (0.8%)

Memory
-1.0MiB live, 61.5MiB allocated
Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New1 28391 292
Fresh9312
Picked235
Done033
Total1 294181 312
Accuracy
100.0%
Counts
1 312 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64)) (+.f64 a b))
94.0%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) (PI.f64)))
98.4%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 (+.f64 a b) (PI.f64))))
58.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
93.7%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))))
63.0%
(*.f64 (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
58.0%
#s(approx (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
57.8%
#s(approx (* (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (/ 1/2 (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
56.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
60.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b #s(literal 2 binary64)) a) a)))
60.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) a)))
56.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
61.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
61.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
61.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) a)))
60.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
56.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
Compiler

Compiled 1 822 to 604 computations (66.8% saved)

regimes45.0ms (0.9%)

Memory
-2.3MiB live, 20.1MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b #s(literal 2 binary64)) a) a)))
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
#s(approx (* (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (/ 1/2 (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
(/.f64 #s(approx (* (* (/ (- b a) a) (PI)) 1/2) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a)))
(*.f64 (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64)) (+.f64 a b))
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 (+.f64 a b) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) (PI.f64)))
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 #s(approx (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) a)))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)))
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (*.f64 a b))
#s(approx (* (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (/ 1/2 (- b a))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64))) b) b))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b a) b))
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b)) (*.f64 (-.f64 b a) #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 (/.f64 (/.f64 b (*.f64 a b)) (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 a (*.f64 a b)) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(fma.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))))
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b))))
Outputs
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
Calls

3 calls:

15.0ms
b
15.0ms
a
13.0ms
(*.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 23 to 19 computations (17.4% saved)

regimes35.0ms (0.7%)

Memory
0.3MiB live, 16.5MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b #s(literal 2 binary64)) a) a)))
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
#s(approx (* (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (/ 1/2 (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
(/.f64 #s(approx (* (* (/ (- b a) a) (PI)) 1/2) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a)))
(*.f64 (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64)) (+.f64 a b))
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 (+.f64 a b) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (*.f64 (*.f64 b #s(literal 2 binary64)) a)) (PI.f64)))
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 #s(approx (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) a)))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)))
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (*.f64 a b))
#s(approx (* (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (/ 1/2 (- b a))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64))) b) b))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Outputs
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64)) (+.f64 a b))
Calls

3 calls:

11.0ms
a
11.0ms
b
11.0ms
(*.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 23 to 19 computations (17.4% saved)

regimes16.0ms (0.3%)

Memory
1.3MiB live, 9.0MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b #s(literal 2 binary64)) a) a)))
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
#s(approx (* (/ (* (/ (PI) (+ a b)) (- b a)) (* a b)) (/ 1/2 (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
(/.f64 #s(approx (* (* (/ (- b a) a) (PI)) 1/2) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a)))
(*.f64 (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b))
Calls

3 calls:

5.0ms
b
5.0ms
a
5.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
98.9%2a
97.1%2b
94.0%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0.1%)

Memory
-5.2MiB live, 2.8MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b #s(literal 2 binary64)) a) a)))
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a a))))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b))
Calls

1 calls:

4.0ms
a
Results
AccuracySegmentsBranch
98.4%2a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.2%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b #s(literal 2 binary64)) a) a)))
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
Calls

3 calls:

3.0ms
b
3.0ms
a
3.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
64.3%2(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
85.4%2b
87.0%2a
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes6.0ms (0.1%)

Memory
-4.2MiB live, 5.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
Calls

3 calls:

2.0ms
a
2.0ms
b
2.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
60.8%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
60.8%1b
60.8%1a
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0.1%)

Memory
-3.6MiB live, 4.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
a
1.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
1.0ms
b
Results
AccuracySegmentsBranch
56.3%1a
56.3%1b
56.3%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch17.0ms (0.4%)

Memory
6.0MiB live, 6.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-1.6617432541566303e+107
-1.2188901223697612e+103
Samples
10.0ms128×0valid
Compiler

Compiled 360 to 284 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (41% of total)
ival-mult: 3.0ms (41% of total)
ival-sub: 1.0ms (13.7% 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)

bsearch11.0ms (0.2%)

Memory
-3.8MiB live, 3.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
10.0ms
-1.2188901223697612e+103
-4.892935765188418e+100
Samples
6.0ms80×0valid
Compiler

Compiled 234 to 185 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (43.5% of total)
ival-mult: 2.0ms (43.5% of total)
ival-sub: 1.0ms (21.7% 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)

bsearch21.0ms (0.4%)

Memory
-0.0MiB live, 7.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
-4.870648594892193e-36
-6.839902448848796e-52
Samples
12.0ms160×0valid
Compiler

Compiled 644 to 480 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (43.9% of total)
ival-mult: 3.0ms (32.9% of total)
ival-pi: 1.0ms (11% of total)
ival-sub: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify22.0ms (0.5%)

Memory
-1.0MiB live, 18.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059250
179250
283250
385250
486250
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64)) (+.f64 a b))
(if (<=.f64 a #s(literal -1300000000000000097976439002134104650914133309634350913786225522069954870034268946236230415047042522939392 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b)))
(if (<=.f64 a #s(literal -2999999999999999806817730693289349346494966123067239993275950224859050996426375510619909630311190757376 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b)))
(if (<=.f64 a #s(literal -728143801304855/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
Outputs
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64)) (+.f64 a b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a))
(if (<=.f64 a #s(literal -1300000000000000097976439002134104650914133309634350913786225522069954870034268946236230415047042522939392 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b)))
(if (<=.f64 a #s(literal -1300000000000000097976439002134104650914133309634350913786225522069954870034268946236230415047042522939392 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 (+.f64 b a) a) b)))
(if (<=.f64 a #s(literal -2999999999999999806817730693289349346494966123067239993275950224859050996426375510619909630311190757376 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b)))
(if (<=.f64 a #s(literal -2999999999999999806817730693289349346494966123067239993275950224859050996426375510619909630311190757376 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 (+.f64 b a) a) b)))
(if (<=.f64 a #s(literal -728143801304855/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -728143801304855/12554203470773361527671578846415332832204710888928069025792 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))

soundness616.0ms (13.1%)

Memory
-3.9MiB live, 11.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911138
17681118
222931080
363891080
083451013
042230
065224
1276222
22379198
08797198
044238
070234
1311204
22972204
08394204
01553
02649
112449
2112349
0919349
053280
087292
1385260
23921260
08071260
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 032 to 520 computations (49.6% saved)

preprocess42.0ms (0.9%)

Memory
6.0MiB live, 28.9MiB allocated
Remove

(sort a b)

Compiler

Compiled 732 to 266 computations (63.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...