NMSE Section 6.1 mentioned, B

Time bar (total: 9.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze95.0ms (1%)

Memory
34.0MiB live, 152.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
12.5%12.5%87.4%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
46.9%46.8%53.1%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
71.1%71%28.9%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
85%84.9%15%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.4s (15%)

Memory
-5.2MiB live, 1 646.0MiB allocated
Samples
883.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 629.0ms
ival-div: 282.0ms (44.8% of total)
ival-mult: 211.0ms (33.5% of total)
ival-sub: 85.0ms (13.5% of total)
ival-pi: 32.0ms (5.1% of total)
exact: 9.0ms (1.4% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain200.0ms (2.2%)

Memory
38.9MiB live, 270.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
420-0-(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
140-0-(-.f64 (*.f64 b b) (*.f64 a a))
31(1.39080699291054e+161 -4.1412574768365276e+107)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*u420
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue140
↳(*.f64 b b)overflow66
↳(*.f64 a a)overflow76
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o40
↳(*.f64 b b)overflow66
↳(*.f64 a a)overflow76
↳(-.f64 (*.f64 b b) (*.f64 a a))overflow128
Confusion
Predicted +Predicted -
+565
-4191
Precision
0.9333333333333333
Recall
0.9180327868852459
Confusion?
Predicted +Predicted MaybePredicted -
+5605
-40191
Precision?
0.9333333333333333
Recall?
0.9180327868852459
Freqs
test
numberfreq
0196
160
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
63.0ms512×0valid
Compiler

Compiled 179 to 49 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 14.0ms (37.1% of total)
ival-mult: 12.0ms (31.8% of total)
ival-sub: 9.0ms (23.9% of total)
ival-pi: 2.0ms (5.3% of total)
exact: 1.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess213.0ms (2.4%)

Memory
-34.8MiB live, 137.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033109
110895
239895
3176995
4464895
01521
02621
15019
214319
357219
4273919
5503219
0816119
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (+.f64 a b)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (PI.f64))
Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.9%
(*.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)

simplify163.0ms (1.8%)

Memory
24.3MiB live, 218.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff0
(*.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-diff2
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01577
02677
15073
214373
357273
4273973
5503273
0816173
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
#s(literal 1 binary64)
(-.f64 (*.f64 b b) (*.f64 a a))
(*.f64 b b)
b
(*.f64 a a)
a
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (+.f64 a b)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (PI.f64))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) b (*.f64 a 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 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)

localize59.0ms (0.6%)

Memory
-31.3MiB live, 92.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
accuracy0.5956630727946661
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
accuracy3.0976438649812352
(-.f64 (*.f64 b b) (*.f64 a a))
accuracy9.33631854349929
(*.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
44.0ms256×0valid
Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sub: 17.0ms (55.3% of total)
ival-div: 7.0ms (22.8% of total)
ival-mult: 6.0ms (19.5% of total)
ival-pi: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
6 → 52
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(-.f64 (*.f64 b b) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
Outputs
(* 1/2 (/ (PI) (pow b 2)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(* 1/2 (/ (PI) (* 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)
(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)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) 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 (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 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(/ (+ (* -1/2 (/ (* 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)
(- (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)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) 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 (/ (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
2.0ms
a
@0
((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms
b
@inf
((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms
a
@inf
((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms
b
@0
((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
1.0ms
a
@-inf
((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))

simplify187.0ms (2.1%)

Memory
18.1MiB live, 258.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911145
19051099
235331055
085221011
Stop Event
1×iter limit
1×node limit
Counts
52 → 52
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (pow b 2)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(* 1/2 (/ (PI) (* 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)
(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)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) 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 (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 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(/ (+ (* -1/2 (/ (* 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)
(- (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)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) 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 (/ (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) (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 a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a) (/.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 (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) (/.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 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 8 binary64))) (*.f64 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)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b)) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a) a (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b)) 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 (/.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) b) b)
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(fma.f64 a (/.f64 a (pow.f64 b #s(literal 4 binary64))) (+.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 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) b) b))
(* -1/2 (/ (PI) (pow a 2)))
(*.f64 (/.f64 (PI.f64) (*.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 #s(literal -1/2 binary64) (*.f64 a a)) (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)))
(/ (+ (* -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) (fma.f64 (PI.f64) (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (PI.f64))) (*.f64 a 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) (+.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64)) (*.f64 (PI.f64) (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (PI.f64))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (/.f64 (PI.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 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a)
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)))) a)) (neg.f64 a))) (*.f64 a a))
(* -1 (pow a 2))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #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 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 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 (neg.f64 (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a)
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)))) a)) (neg.f64 a))) (*.f64 a a))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)))
(+ (* -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 (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) (/.f64 (PI.f64) (*.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 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 8 binary64))) (*.f64 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)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) b (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) b) b (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)) 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 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b 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)))
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(*.f64 (fma.f64 a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a) (/.f64 (PI.f64) (*.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 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (PI.f64))) (*.f64 b b))
(/ (+ (* 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 #s(literal 1/2 binary64) (+.f64 (fma.f64 (pow.f64 a #s(literal 6 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (PI.f64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (PI.f64))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)))) b)) (neg.f64 b))) (*.f64 b b))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) b) b)
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 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 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b)
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)))) b)) (neg.f64 b))) (*.f64 b b))

rewrite121.0ms (1.3%)

Memory
-9.1MiB live, 105.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01554
02654
111250
298050
0891250
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 342
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(-.f64 (*.f64 b b) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
Outputs
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 a b)) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (-.f64 b a)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
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(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))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64)))
(+.f64 (*.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))))
(+.f64 (*.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 (*.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))))
(+.f64 (*.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))))
(+.f64 (*.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))))
(+.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)))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64))))

eval61.0ms (0.7%)

Memory
-0.4MiB live, 108.8MiB allocated
Compiler

Compiled 11 517 to 1 606 computations (86.1% saved)

prune28.0ms (0.3%)

Memory
-0.6MiB live, 38.5MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New37015385
Fresh000
Picked101
Done000
Total37115386
Accuracy
99.9%
Counts
386 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.8%
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
▶85.4%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
80.6%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
81.0%
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64))
77.7%
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64)))
▶85.9%
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
65.1%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
59.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b))
56.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a))
51.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a))
46.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b))
58.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
▶52.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
51.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
▶46.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
Compiler

Compiled 854 to 578 computations (32.3% saved)

simplify119.0ms (1.3%)

Memory
3.5MiB live, 123.1MiB allocated
Algorithm
1×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-diff0
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64))
cost-diff8
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
cost-diff0
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
cost-diff8
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 a a))
cost-diff0
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.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 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
cost-diff0
(/.f64 (PI.f64) (*.f64 a a))
cost-diff0
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
cost-diff0
(*.f64 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (-.f64 b a) a)
cost-diff0
(/.f64 (/.f64 (-.f64 b a) a) b)
cost-diff0
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
cost-diff8
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045327
071327
1160323
2561291
32685275
46020275
08252275
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(*.f64 #s(literal 2 binary64) (+.f64 a b))
#s(literal 2 binary64)
(+.f64 a b)
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (PI.f64) (*.f64 a a))
(PI.f64)
(*.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 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 (PI.f64) (*.f64 a a))
(PI.f64)
(*.f64 a a)
a
(+.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)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(PI.f64)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
a
b
(-.f64 b a)
(*.f64 #s(literal 2 binary64) (*.f64 a b))
#s(literal 2 binary64)
(*.f64 a b)
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(PI.f64)
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))
(*.f64 #s(literal 2 binary64) (+.f64 a b))
#s(literal 2 binary64)
(+.f64 a b)
Outputs
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)) b) a)
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) b) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) a))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(*.f64 #s(literal 2 binary64) (+.f64 a b))
(*.f64 (+.f64 a b) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 a b)
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (PI.f64) (*.f64 a a))
(PI.f64)
(*.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 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) (*.f64 a a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) (*.f64 a a)))
(/.f64 (PI.f64) (*.f64 a a))
(PI.f64)
(*.f64 a a)
a
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
(/.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 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)) b) a)
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(/.f64 (PI.f64) (+.f64 a b))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
(PI.f64)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
a
b
(-.f64 b a)
(*.f64 #s(literal 2 binary64) (*.f64 a b))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a b)
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)) b) a)
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(PI.f64)
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 a b))
(*.f64 (+.f64 a b) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 a b)

localize121.0ms (1.3%)

Memory
12.1MiB live, 208.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(/.f64 (-.f64 b a) a)
accuracy0.3125
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64))
accuracy8.483791836318238
(/.f64 (/.f64 (-.f64 b a) a) b)
accuracy9.32069354349929
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
accuracy0.0
(PI.f64)
accuracy0.2265625
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
accuracy0.6487197900252383
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy32.44596013783381
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
accuracy0.02734375
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
accuracy0.31779401586524025
(/.f64 (PI.f64) (*.f64 a a))
accuracy4.445353630843405
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
accuracy29.826024960616955
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
accuracy0.00390625
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))
accuracy0.31779401586524025
(/.f64 (PI.f64) (*.f64 a a))
accuracy9.108206957806106
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
accuracy25.72373603539687
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
accuracy0.17416000976844204
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
accuracy0.21875
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
accuracy0.27734375
(/.f64 (PI.f64) (-.f64 b a))
accuracy8.483791836318238
(/.f64 (/.f64 (-.f64 b a) a) b)
Samples
94.0ms256×0valid
Compiler

Compiled 305 to 43 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-div: 26.0ms (44% of total)
ival-mult: 25.0ms (42.3% of total)
ival-sub: 4.0ms (6.8% of total)
ival-add: 2.0ms (3.4% of total)
ival-pi: 1.0ms (1.7% of total)
exact: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series59.0ms (0.7%)

Memory
-42.3MiB live, 31.0MiB allocated
Counts
18 → 121
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (PI.f64) (*.f64 a a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(PI.f64)
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64))
(/.f64 (PI.f64) (-.f64 b a))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) 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 (* a b))
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ b a)
(/ (+ b (* -1 a)) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* (pow a 2) b))
(/ (PI) (pow a 2))
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(/ (PI) (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)))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) 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))
(/ -1/2 a)
(/ (- (* 1/2 (/ a b)) 1/2) 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 (* a b))
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
-1
(- (/ b a) 1)
(/ (+ (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 (/ (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 (/ (PI) b))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(* -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)
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 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))
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) 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 (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 (/ (+ (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))
(/ (+ (* -1/2 (/ (* 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 (pow a 2)) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (/ b a) 1) 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 (/ (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 (PI)) (/ (* b (PI)) a)) 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)))))
(/ (+ 1/2 (* -1/2 (/ b a))) 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))
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(* b (- (/ 1 a) (/ 1 b)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/ (+ (PI) (* -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))
(/ (+ (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 (/ (+ (* -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 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/ (+ (PI) (* -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))
(* -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))
Calls

6 calls:

TimeVariablePointExpression
32.0ms
b
@0
((* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (PI) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (/ (- b a) a) b) (PI)) (* (* 2 (+ a b)) (- b a))) (* (/ (/ (- b a) a) b) (PI)) (/ (PI) (- b a)) (+ (/ 1/2 b) (/ -1/2 a)))
6.0ms
a
@inf
((* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (PI) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (/ (- b a) a) b) (PI)) (* (* 2 (+ a b)) (- b a))) (* (/ (/ (- b a) a) b) (PI)) (/ (PI) (- b a)) (+ (/ 1/2 b) (/ -1/2 a)))
6.0ms
a
@0
((* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (PI) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (/ (- b a) a) b) (PI)) (* (* 2 (+ a b)) (- b a))) (* (/ (/ (- b a) a) b) (PI)) (/ (PI) (- b a)) (+ (/ 1/2 b) (/ -1/2 a)))
5.0ms
b
@-inf
((* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (PI) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (/ (- b a) a) b) (PI)) (* (* 2 (+ a b)) (- b a))) (* (/ (/ (- b a) a) b) (PI)) (/ (PI) (- b a)) (+ (/ 1/2 b) (/ -1/2 a)))
4.0ms
b
@inf
((* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (PI) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (/ (- b a) a) b) (PI)) (* (* 2 (+ a b)) (- b a))) (* (/ (/ (- b a) a) b) (PI)) (/ (PI) (- b a)) (+ (/ 1/2 b) (/ -1/2 a)))

simplify134.0ms (1.5%)

Memory
32.7MiB live, 140.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06012408
119872050
082911959
Stop Event
1×iter limit
1×node limit
Counts
121 → 121
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 (* a b))
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ b a)
(/ (+ b (* -1 a)) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* (pow a 2) b))
(/ (PI) (pow a 2))
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(/ (PI) (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)))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) 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))
(/ -1/2 a)
(/ (- (* 1/2 (/ a b)) 1/2) 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 (* a b))
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
-1
(- (/ b a) 1)
(/ (+ (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 (/ (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 (/ (PI) b))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(* -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)
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 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))
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) 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 (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 (/ (+ (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))
(/ (+ (* -1/2 (/ (* 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 (pow a 2)) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (/ b a) 1) 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 (/ (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 (PI)) (/ (* b (PI)) a)) 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)))))
(/ (+ 1/2 (* -1/2 (/ b a))) 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))
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(* b (- (/ 1 a) (/ 1 b)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/ (+ (PI) (* -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))
(/ (+ (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 (/ (+ (* -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 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/ (+ (PI) (* -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))
(* -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))
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 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) a) (/.f64 (PI.f64) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a))) a)) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a)) a)
(/ 1/2 (* a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (-.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) a (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (-.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) b))) a (/.f64 #s(literal 1/2 binary64) b)) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ b a)
(/.f64 b a)
(/ (+ b (* -1 a)) a)
(/.f64 (-.f64 b a) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (PI) (* (pow a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/ (PI) (pow a 2))
(/.f64 (PI.f64) (*.f64 a a))
(* -1/2 (/ (PI) (pow a 3)))
(*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64))) (pow.f64 a #s(literal 3 binary64)))
(/ (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 (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) a) (/.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 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(/ (PI) (pow b 2))
(/.f64 (PI.f64) (*.f64 b b))
(+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))
(fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b b)))
(+ (* 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)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 a)) (*.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (/.f64 (PI.f64) (*.f64 b b)))
(+ (* 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)))
(fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (PI.f64) (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (PI.f64) (*.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b))) a) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) a (/.f64 (PI.f64) (*.f64 b b)))
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) a)
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b)
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) a)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (/.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))) 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 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)) a))) (*.f64 a a))
(/ -1/2 (* a b))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(/.f64 (-.f64 (fma.f64 b (/.f64 b (pow.f64 a #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (/ 1 a) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
-1
#s(literal -1 binary64)
(- (/ b a) 1)
(-.f64 (/.f64 b a) #s(literal 1 binary64))
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (PI.f64) a) (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) a) b))) 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 (-.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64))) (*.f64 (/.f64 (PI.f64) a) b)) a)
(* -1 (/ (PI) (pow a 2)))
(/.f64 (/.f64 (neg.f64 (PI.f64)) a) a)
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(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (/.f64 (fma.f64 (*.f64 (neg.f64 a) a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b)) (neg.f64 b))) b)) (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 (/.f64 #s(literal 0 binary64) b) (PI.f64) (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64)))) (neg.f64 b))) b)) (*.f64 b b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 a (/.f64 a b)) (*.f64 (PI.f64) a)) b) (PI.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 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) b)) b)) (neg.f64 b))

rewrite214.0ms (2.4%)

Memory
-19.2MiB live, 218.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045226
071226
1281222
22529222
09127222
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 955
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (PI.f64) (*.f64 a a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(PI.f64)
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64))
(/.f64 (PI.f64) (-.f64 b a))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
Outputs
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 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 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64))) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.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 a b)) (-.f64 b a)) b))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)) (/.f64 (-.f64 b a) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))
(*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (+.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b))))
(*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)))
(*.f64 (-.f64 b a) (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)) (+.f64 a b))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal 2 binary64))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal 2 binary64))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (/.f64 (-.f64 b a) #s(literal 2 binary64))) a)) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (/.f64 (-.f64 b a) #s(literal 2 binary64))) b)) (neg.f64 a))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (-.f64 b a)) (*.f64 #s(literal 2 binary64) a))) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (-.f64 b a)) (*.f64 a b))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (+.f64 a b)))) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (/.f64 (PI.f64) (-.f64 b a)))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) (neg.f64 b)) (/.f64 (PI.f64) (-.f64 b a)))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) (neg.f64 a)) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)))) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)))) (neg.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) (neg.f64 b)))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (-.f64 b a) a))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (+.f64 a b)) (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (neg.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)) (/.f64 (-.f64 b a) (neg.f64 a)))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)) (/.f64 (-.f64 b a) a))) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)) (-.f64 b a))) (neg.f64 (*.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)))) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 a b)) (-.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (/.f64 (-.f64 b a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b))))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) (neg.f64 b)))) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (*.f64 #s(literal -2 binary64) (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (-.f64 b a) a))) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))))
(/.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (neg.f64 (PI.f64)))) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (PI.f64))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) (neg.f64 b)) (neg.f64 (PI.f64)))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 a b)) (neg.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))) (neg.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a b)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (PI.f64))) (neg.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a b)) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (+.f64 a b) (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (PI.f64))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)))) (neg.f64 (neg.f64 (*.f64 a b))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 b) (*.f64 a #s(literal -1/2 binary64)))) (neg.f64 (*.f64 a (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 b) (*.f64 (neg.f64 a) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 a) (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (neg.f64 a) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 a) b)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 (neg.f64 b) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 a) (*.f64 (neg.f64 b) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 b) (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 a) (*.f64 b #s(literal 1/2 binary64)))) (neg.f64 (*.f64 b (neg.f64 a))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) (*.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 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) a) b)
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) b) a)
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 a b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a))) (neg.f64 (*.f64 a b)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 b) (*.f64 a #s(literal -1/2 binary64))) (*.f64 a (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 b) (*.f64 (neg.f64 a) #s(literal -1/2 binary64))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (neg.f64 a) #s(literal 1/2 binary64))) (*.f64 (neg.f64 a) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 (neg.f64 b) #s(literal -1/2 binary64))) (*.f64 (neg.f64 b) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 a) (*.f64 (neg.f64 b) #s(literal 1/2 binary64))) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 a) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 a b)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (*.f64 a b))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 a b)))
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))

eval207.0ms (2.3%)

Memory
22.0MiB live, 243.6MiB allocated
Compiler

Compiled 31 077 to 3 484 computations (88.8% saved)

prune54.0ms (0.6%)

Memory
8.4MiB live, 106.9MiB allocated
Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New978251 003
Fresh6410
Picked325
Done000
Total987311 018
Accuracy
100.0%
Counts
1 018 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
85.2%
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
98.6%
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
✓85.4%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
80.6%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
▶81.5%
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
68.8%
(/.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
▶54.5%
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
61.3%
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (neg.f64 (PI.f64)) b)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
68.8%
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
66.4%
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
85.8%
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 b a)))
▶99.5%
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
68.0%
(*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
98.6%
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (PI.f64) (-.f64 b a)))
73.5%
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
63.4%
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
46.5%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)))
58.5%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
59.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b))
51.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a))
55.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
47.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
▶59.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
59.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
52.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
▶53.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
52.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64)))
58.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
✓52.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
48.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (*.f64 a b))))
Compiler

Compiled 1 626 to 1 104 computations (32.1% saved)

simplify158.0ms (1.7%)

Memory
-18.3MiB live, 210.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 b a) a)
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (/.f64 (-.f64 b a) a))
cost-diff8
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
cost-diff0
(/.f64 (PI.f64) (*.f64 b b))
cost-diff0
#s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b)))
cost-diff0
(*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a))
cost-diff0
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
cost-diff0
(/.f64 (PI.f64) a)
cost-diff0
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
cost-diff0
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
cost-diff0
(-.f64 b a)
cost-diff0
(/.f64 (-.f64 b a) (*.f64 a b))
cost-diff0
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
cost-diff8
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051320
078320
1175316
2576316
32266284
08331284
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (-.f64 b a) (*.f64 a b))
(-.f64 b a)
b
a
(*.f64 a b)
(*.f64 #s(literal 2 binary64) (+.f64 a b))
#s(literal 2 binary64)
(+.f64 a b)
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#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) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (PI.f64) a)
(PI.f64)
a
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a))
#s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b)))
(/.f64 (PI.f64) (*.f64 b b))
(PI.f64)
(*.f64 b b)
b
(-.f64 b a)
a
(*.f64 #s(literal 2 binary64) (*.f64 a b))
#s(literal 2 binary64)
(*.f64 a b)
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(*.f64 (PI.f64) (/.f64 (-.f64 b a) a))
(PI.f64)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))
(*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)
(*.f64 (+.f64 a b) #s(literal 2 binary64))
(+.f64 a b)
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) a) b))
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) b) (*.f64 a (+.f64 a b)))
(/.f64 (-.f64 b a) (*.f64 a b))
(/.f64 (/.f64 (-.f64 b a) b) a)
(-.f64 b a)
b
a
(*.f64 a b)
(*.f64 #s(literal 2 binary64) (+.f64 a b))
(*.f64 (+.f64 a b) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 a b)
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) 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 (*.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) a) (/.f64 #s(literal 1/2 binary64) b)) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (PI.f64))
(/.f64 (PI.f64) a)
(PI.f64)
a
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a))
#s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b)))
(/.f64 (PI.f64) (*.f64 b b))
(PI.f64)
(*.f64 b b)
b
(-.f64 b a)
a
(*.f64 #s(literal 2 binary64) (*.f64 a b))
#s(literal 2 binary64)
(*.f64 a b)
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) a) b))
(*.f64 (PI.f64) (/.f64 (-.f64 b a) a))
(*.f64 (/.f64 (-.f64 b a) a) (PI.f64))
(PI.f64)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))
(*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (*.f64 (+.f64 a b) b))
(*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)
(*.f64 (+.f64 a b) #s(literal 2 binary64))
(+.f64 a b)
#s(literal 2 binary64)

localize129.0ms (1.4%)

Memory
0.9MiB live, 247.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)
accuracy0.08984375
(*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))
accuracy0.125
(*.f64 (PI.f64) (/.f64 (-.f64 b a) a))
accuracy11.701215597235414
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
accuracy0.2265625
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
accuracy0.6666426530101381
(/.f64 (PI.f64) (*.f64 b b))
accuracy28.16295276690965
#s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b)))
accuracy32.44596013783381
(*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a))
accuracy0.12109375
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
accuracy0.26009750976844204
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
accuracy0.30078125
(/.f64 (PI.f64) a)
accuracy25.72373603539687
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
accuracy0.0
(PI.f64)
accuracy0.38546639176657743
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
accuracy8.892986926180633
(*.f64 (*.f64 a a) b)
accuracy25.72373603539687
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
accuracy0.17416000976844204
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
accuracy0.21875
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
accuracy0.27734375
(/.f64 (PI.f64) (-.f64 b a))
accuracy14.583842036371461
(/.f64 (-.f64 b a) (*.f64 a b))
Samples
82.0ms256×0valid
Compiler

Compiled 284 to 45 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-div: 26.0ms (44.6% of total)
ival-mult: 26.0ms (44.6% of total)
ival-sub: 4.0ms (6.9% of total)
ival-pi: 1.0ms (1.7% of total)
ival-add: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory
3.2MiB live, 40.8MiB allocated
Counts
23 → 144
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (-.f64 b a) (*.f64 a b))
(-.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (PI.f64) a)
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a))
#s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b)))
(/.f64 (PI.f64) (*.f64 b b))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(*.f64 (PI.f64) (/.f64 (-.f64 b a) a))
(/.f64 (-.f64 b a) a)
(/.f64 (PI.f64) (-.f64 b a))
(*.f64 (*.f64 a a) b)
(*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))
(*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)
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 (* a b))
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
b
(+ b (* -1 a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* a b)))
(/ (PI) a)
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(/ (PI) (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)))
(/ (* b (PI)) a)
(/ (+ (* -1 (* a (PI))) (* b (PI))) 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)
(* 2 (pow b 3))
(+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3)))
(+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b)))))))
(* 2 (pow b 2))
(+ (* 2 (* a b)) (* 2 (pow b 2)))
(/ (+ (* -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 (* a b))
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(* -1 a)
(* a (- (/ b a) 1))
(/ (+ (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 (/ (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 (PI))
(+ (* -1 (PI)) (/ (* b (PI)) a))
-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)
(* -2 (* (pow a 2) b))
(* (pow a 2) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 2) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(* 2 (* a b))
(* a (+ (* 2 b) (* 2 (/ (pow b 2) 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))
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (* a (+ 1 (* -1 (/ b 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 (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 (/ (+ (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))
(* (pow a 2) (+ (* -2 b) (* -2 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 2) (+ (* -2 b) (* -1 (/ (+ (* -2 (/ (pow b 3) a)) (* 2 (* b (+ b (* -1 b))))) a))))
(* -1 (* a (+ (* -2 b) (* -2 (/ (pow b 2) 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)
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (/ b a) 1) b)
(- b 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))
(+ (* -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 (/ (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)))))
(* b (+ (* -2 (pow a 2)) (* 2 (* b (+ a (* -1 a))))))
(* b (+ (* -2 (pow a 2)) (* b (+ (* 2 b) (* 2 (+ a (* -1 a)))))))
(* b (+ (* 2 a) (* 2 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))
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(* b (+ 1 (* -1 (/ a b))))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/ (+ (PI) (* -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))
(* b (+ (* -1 (/ (PI) b)) (/ (PI) a)))
(* 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)
(* (pow b 3) (+ 2 (* 2 (/ (+ a (* -1 a)) b))))
(* (pow b 3) (+ 2 (+ (* -2 (/ (pow a 2) (pow b 2))) (* 2 (/ (+ a (* -1 a)) b)))))
(* (pow b 2) (+ 2 (* 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))
(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (* b (- (/ a b) 1)))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/ (+ (PI) (* -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))
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) 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))
(* -1 (* (pow b 3) (- (* -2 (/ (+ a (* -1 a)) b)) 2)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* -2 (/ (pow a 2) b)) (* 2 (+ a (* -1 a)))) b)) 2)))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
b
@0
((* (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (- b a) (* a b)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) (/ 1/2 b)) a) (* (/ (PI) a) (/ 1/2 b)) (/ (PI) a) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) (* (+ a b) (- b a))) (/ (PI) (* b b)) (/ (* (PI) (/ (- b a) a)) (* (- b a) (* (* (+ a b) 2) b))) (* (PI) (/ (- b a) a)) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (* (- b a) (* (* (+ a b) 2) b)) (* (* (+ a b) 2) b))
7.0ms
a
@0
((* (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (- b a) (* a b)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) (/ 1/2 b)) a) (* (/ (PI) a) (/ 1/2 b)) (/ (PI) a) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) (* (+ a b) (- b a))) (/ (PI) (* b b)) (/ (* (PI) (/ (- b a) a)) (* (- b a) (* (* (+ a b) 2) b))) (* (PI) (/ (- b a) a)) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (* (- b a) (* (* (+ a b) 2) b)) (* (* (+ a b) 2) b))
4.0ms
b
@-inf
((* (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (- b a) (* a b)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) (/ 1/2 b)) a) (* (/ (PI) a) (/ 1/2 b)) (/ (PI) a) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) (* (+ a b) (- b a))) (/ (PI) (* b b)) (/ (* (PI) (/ (- b a) a)) (* (- b a) (* (* (+ a b) 2) b))) (* (PI) (/ (- b a) a)) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (* (- b a) (* (* (+ a b) 2) b)) (* (* (+ a b) 2) b))
3.0ms
b
@inf
((* (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (- b a) (* a b)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) (/ 1/2 b)) a) (* (/ (PI) a) (/ 1/2 b)) (/ (PI) a) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) (* (+ a b) (- b a))) (/ (PI) (* b b)) (/ (* (PI) (/ (- b a) a)) (* (- b a) (* (* (+ a b) 2) b))) (* (PI) (/ (- b a) a)) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (* (- b a) (* (* (+ a b) 2) b)) (* (* (+ a b) 2) b))
3.0ms
a
@-inf
((* (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (- b a) (* a b)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) (/ 1/2 b)) a) (* (/ (PI) a) (/ 1/2 b)) (/ (PI) a) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) (* (+ a b) (- b a))) (/ (PI) (* b b)) (/ (* (PI) (/ (- b a) a)) (* (- b a) (* (* (+ a b) 2) b))) (* (PI) (/ (- b a) a)) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (* (- b a) (* (* (+ a b) 2) b)) (* (* (+ a b) 2) b))

simplify201.0ms (2.2%)

Memory
2.8MiB live, 160.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06802697
123472274
095452171
Stop Event
1×iter limit
1×node limit
Counts
144 → 143
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 (* a b))
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
b
(+ b (* -1 a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* a b)))
(/ (PI) a)
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(/ (PI) (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)))
(/ (* b (PI)) a)
(/ (+ (* -1 (* a (PI))) (* b (PI))) 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)
(* 2 (pow b 3))
(+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3)))
(+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b)))))))
(* 2 (pow b 2))
(+ (* 2 (* a b)) (* 2 (pow b 2)))
(/ (+ (* -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 (* a b))
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(* -1 a)
(* a (- (/ b a) 1))
(/ (+ (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 (/ (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 (PI))
(+ (* -1 (PI)) (/ (* b (PI)) a))
-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)
(* -2 (* (pow a 2) b))
(* (pow a 2) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 2) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(* 2 (* a b))
(* a (+ (* 2 b) (* 2 (/ (pow b 2) 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))
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (* a (+ 1 (* -1 (/ b 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 (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 (/ (+ (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))
(* (pow a 2) (+ (* -2 b) (* -2 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 2) (+ (* -2 b) (* -1 (/ (+ (* -2 (/ (pow b 3) a)) (* 2 (* b (+ b (* -1 b))))) a))))
(* -1 (* a (+ (* -2 b) (* -2 (/ (pow b 2) 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)
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (/ b a) 1) b)
(- b 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))
(+ (* -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 (/ (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)))))
(* b (+ (* -2 (pow a 2)) (* 2 (* b (+ a (* -1 a))))))
(* b (+ (* -2 (pow a 2)) (* b (+ (* 2 b) (* 2 (+ a (* -1 a)))))))
(* b (+ (* 2 a) (* 2 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))
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(* b (+ 1 (* -1 (/ a b))))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/ (+ (PI) (* -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))
(* b (+ (* -1 (/ (PI) b)) (/ (PI) a)))
(* 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)
(* (pow b 3) (+ 2 (* 2 (/ (+ a (* -1 a)) b))))
(* (pow b 3) (+ 2 (+ (* -2 (/ (pow a 2) (pow b 2))) (* 2 (/ (+ a (* -1 a)) b)))))
(* (pow b 2) (+ 2 (* 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))
(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (* b (- (/ a b) 1)))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/ (+ (PI) (* -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))
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) 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))
(* -1 (* (pow b 3) (- (* -2 (/ (+ a (* -1 a)) b)) 2)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* -2 (/ (pow a 2) b)) (* 2 (+ a (* -1 a)))) 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 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (PI.f64) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))) a)) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a)) a)
(/ 1/2 (* a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
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(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b) (/.f64 (/.f64 (PI.f64) a) a)) b (/.f64 (PI.f64) a))
(+ (* -1 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(neg.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) a) a)))
(+ (* -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)))))
(fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 0 binary64))) b (/.f64 (/.f64 (neg.f64 (PI.f64)) a) a))
(+ (* -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)))))
(fma.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))))) (*.f64 a a)))) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) b (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64))))) b (/.f64 (/.f64 (neg.f64 (PI.f64)) a) a))
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) b (PI.f64)) (neg.f64 a))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(fma.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 (PI.f64) a) a)) b (/.f64 (neg.f64 (PI.f64)) a))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b) (/.f64 (/.f64 (PI.f64) a) a)) b (/.f64 (neg.f64 (PI.f64)) a))
(* b (+ (* -2 (pow a 2)) (* 2 (* b (+ a (* -1 a))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a b) #s(literal 0 binary64)) a)
(* b (+ (* -2 (pow a 2)) (* b (+ (* 2 b) (* 2 (+ a (* -1 a)))))))
(fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a b) #s(literal 0 binary64)) a (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64)))
(* b (+ (* 2 a) (* 2 b)))
(*.f64 (*.f64 #s(literal 2 binary64) b) (+.f64 a b))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) a)))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)) b) (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) a)))) (*.f64 b b))
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(/.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))) b)
(* b (+ 1 (* -1 (/ a b))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/.f64 (+.f64 (PI.f64) (/.f64 (fma.f64 a (*.f64 a (/.f64 (PI.f64) b)) (*.f64 (neg.f64 a) (PI.f64))) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64))) (*.f64 a (/.f64 (PI.f64) b))) b)
(/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))
(/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b) (PI.f64)) (*.f64 b b))
(/ (- (+ (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))
(/.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 (* (+ 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))
(/.f64 (-.f64 (-.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (pow.f64 b #s(literal 3 binary64)))) (/.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))
(* b (+ (* -1 (/ (PI) b)) (/ (PI) a)))
(*.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1 binary64) (/.f64 (PI.f64) a)) b)
(* b (- (/ 1 a) (/ 1 b)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) b)
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/.f64 (fma.f64 a (/.f64 (PI.f64) b) (PI.f64)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(/.f64 (+.f64 (PI.f64) (/.f64 (fma.f64 (PI.f64) a (*.f64 a (*.f64 a (/.f64 (PI.f64) b)))) b)) b)
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/.f64 (+.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (PI.f64)) (/.f64 (fma.f64 (PI.f64) a (*.f64 a (*.f64 a (/.f64 (PI.f64) b)))) b)) b)
(* (pow b 3) (+ 2 (* 2 (/ (+ a (* -1 a)) b))))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) b)) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 3) (+ 2 (+ (* -2 (/ (pow a 2) (pow b 2))) (* 2 (/ (+ a (* -1 a)) b)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -2 binary64) #s(literal 0 binary64)) b) #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 2) (+ 2 (* 2 (/ a b))))
(*.f64 (*.f64 (fma.f64 (/.f64 a b) #s(literal 2 binary64) #s(literal 2 binary64)) b) b)
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) b)) (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 (*.f64 #s(literal -1/2 binary64) (fma.f64 a (*.f64 a (/.f64 (PI.f64) b)) (*.f64 (neg.f64 a) (PI.f64)))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 a a) b) a) (neg.f64 b)) #s(literal 1 binary64)) b) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 b))
(* -1 (* b (- (/ a b) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal 1 binary64)))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(/.f64 (fma.f64 a (/.f64 (PI.f64) b) (neg.f64 (PI.f64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (fma.f64 a (*.f64 a (/.f64 (PI.f64) b)) (*.f64 (neg.f64 a) (PI.f64))) b))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (neg.f64 (PI.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)) b)) (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) (PI.f64)) b)) (neg.f64 b))) b)) (*.f64 b b))
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) b))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (PI.f64) a) #s(literal -1 binary64) (/.f64 (PI.f64) b)))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 (PI.f64) b) (PI.f64))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (fma.f64 (PI.f64) a (*.f64 a (*.f64 a (/.f64 (PI.f64) b)))) b))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) b)) b)) (neg.f64 b))
(* -1 (* (pow b 3) (- (* -2 (/ (+ a (* -1 a)) b)) 2)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) b) #s(literal 2 binary64))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* -2 (/ (pow a 2) b)) (* 2 (+ a (* -1 a)))) b)) 2)))
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -2 binary64) #s(literal 0 binary64))) b) #s(literal 2 binary64)))

rewrite397.0ms (4.4%)

Memory
-19.0MiB live, 266.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051259
078259
1284255
22272255
08344255
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 792
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (-.f64 b a) (*.f64 a b))
(-.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (PI.f64) a)
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a))
#s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b)))
(/.f64 (PI.f64) (*.f64 b b))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(*.f64 (PI.f64) (/.f64 (-.f64 b a) a))
(/.f64 (-.f64 b a) a)
(/.f64 (PI.f64) (-.f64 b a))
(*.f64 (*.f64 a a) b)
(*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))
(*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)
Outputs
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))) (-.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 (PI.f64) (-.f64 b a)) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (+.f64 a b))) (/.f64 (PI.f64) b))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) (+.f64 a b)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (/.f64 (/.f64 (-.f64 b a) a) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (*.f64 (-.f64 b a) b) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (PI.f64))
(*.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
(*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (*.f64 (-.f64 b a) b) (*.f64 (+.f64 a b) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (*.f64 (-.f64 b a) b) (*.f64 (+.f64 a b) #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 b a) a) (/.f64 (PI.f64) (*.f64 (*.f64 (-.f64 b a) b) (*.f64 (+.f64 a b) #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a))
(*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
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(log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 (-.f64 b a) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 b a)))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (-.f64 (*.f64 a b) (*.f64 a a))) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) a)))
(/.f64 (neg.f64 (neg.f64 (-.f64 b a))) (neg.f64 (neg.f64 a)))
(/.f64 (-.f64 (*.f64 a b) (*.f64 a a)) (*.f64 a a))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) a))
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (neg.f64 (*.f64 (+.f64 a b) a)))
(/.f64 (neg.f64 (-.f64 b a)) (neg.f64 a))
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (+.f64 a b) a))
(/.f64 (-.f64 b a) a)
(neg.f64 (/.f64 (neg.f64 (-.f64 b a)) a))
(neg.f64 (/.f64 (-.f64 b a) (neg.f64 a)))
(-.f64 (/.f64 b a) #s(literal 1 binary64))
(*.f64 (/.f64 (PI.f64) (-.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 (PI.f64) (+.f64 a b)) (-.f64 b a)) (+.f64 a b))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 b a)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (-.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (-.f64 b a)))
(/.f64 (PI.f64) (-.f64 b a))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (-.f64 b a)))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (-.f64 b a))))
(*.f64 (*.f64 (neg.f64 b) a) (neg.f64 a))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 b) a))
(*.f64 (*.f64 a a) b)
(*.f64 (*.f64 a b) a)
(*.f64 a (*.f64 a b))
(*.f64 b (*.f64 a a))
(fabs.f64 (*.f64 (*.f64 (neg.f64 a) a) b))
(fabs.f64 (*.f64 (*.f64 a a) b))
(*.f64 (*.f64 (-.f64 b a) b) (*.f64 (+.f64 a b) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (+.f64 a b)) b)
(*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a))
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 #s(literal 2 binary64) b))
(*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 b (-.f64 b a)))
(*.f64 (+.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) b) (-.f64 b a)))
(*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))
(*.f64 b (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))) (neg.f64 (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (*.f64 (+.f64 a b) (-.f64 b a)))) (neg.f64 (+.f64 a b)))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (+.f64 a b))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.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 a b) #s(literal 2 binary64)) b) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (*.f64 b (+.f64 a b)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) b) (+.f64 a b))
(*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)
(*.f64 (+.f64 a b) (*.f64 #s(literal 2 binary64) b))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 a b) b))
(*.f64 b (*.f64 (+.f64 a b) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 (neg.f64 b) b)) (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) b))) (neg.f64 (fma.f64 a a (*.f64 b (-.f64 b a)))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 (neg.f64 b) b)) (*.f64 #s(literal 2 binary64) b)) (-.f64 a b))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) b)) (fma.f64 a a (*.f64 b (-.f64 b a))))
(fma.f64 (*.f64 #s(literal 2 binary64) b) a (*.f64 (*.f64 #s(literal 2 binary64) b) b))
(fma.f64 (*.f64 #s(literal 2 binary64) b) a (*.f64 b (*.f64 #s(literal 2 binary64) b)))
(fma.f64 (*.f64 #s(literal 2 binary64) a) b (*.f64 (*.f64 #s(literal 2 binary64) b) b))
(fma.f64 (*.f64 #s(literal 2 binary64) a) b (*.f64 b (*.f64 #s(literal 2 binary64) b)))
(fma.f64 (+.f64 a b) b (*.f64 (+.f64 a b) b))
(fma.f64 #s(literal 2 binary64) (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) b) b))
(fma.f64 #s(literal 2 binary64) (*.f64 a b) (*.f64 b (*.f64 #s(literal 2 binary64) b)))
(fma.f64 (*.f64 a b) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) b) b))
(fma.f64 (*.f64 a b) #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 2 binary64) b)))
(fma.f64 a (*.f64 #s(literal 2 binary64) b) (*.f64 (*.f64 #s(literal 2 binary64) b) b))
(fma.f64 a (*.f64 #s(literal 2 binary64) b) (*.f64 b (*.f64 #s(literal 2 binary64) b)))
(fma.f64 b (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) b) b))
(fma.f64 b (*.f64 #s(literal 2 binary64) a) (*.f64 b (*.f64 #s(literal 2 binary64) b)))
(fma.f64 b (+.f64 a b) (*.f64 b (+.f64 a b)))
(+.f64 (*.f64 (+.f64 a b) b) (*.f64 (+.f64 a b) b))
(+.f64 (*.f64 b (+.f64 a b)) (*.f64 b (+.f64 a b)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (*.f64 (*.f64 #s(literal 2 binary64) b) b))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (*.f64 b (*.f64 #s(literal 2 binary64) b)))

eval364.0ms (4%)

Memory
16.6MiB live, 203.5MiB allocated
Compiler

Compiled 30 546 to 3 645 computations (88.1% saved)

prune520.0ms (5.8%)

Memory
-13.9MiB live, 80.4MiB allocated
Pruning

32 alts after pruning (28 fresh and 4 done)

PrunedKeptTotal
New1 017161 033
Fresh121224
Picked235
Done112
Total1 032321 064
Accuracy
100.0%
Counts
1 064 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
79.3%
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (PI.f64) (-.f64 b a))) (+.f64 a b)) (*.f64 #s(literal 2 binary64) b))
90.9%
(/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))) (-.f64 b a))
▶98.6%
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
✓85.4%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
81.4%
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (-.f64 b a) a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
77.6%
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) (*.f64 (-.f64 b a) #s(approx (* (* (+ a b) 2) b) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 b (/.f64 (*.f64 b b) a))))))
48.9%
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) #s(approx (* (- b a) (* (* (+ a b) 2) b)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)))
81.6%
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))))
68.8%
(/.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
✓54.5%
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
68.8%
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
66.4%
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
67.8%
(/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
▶99.4%
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 b a)))
60.6%
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) #s(approx (- b a) (neg.f64 a))))
98.6%
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (PI.f64) (-.f64 b a)))
▶73.5%
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
58.5%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
59.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b))
59.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
47.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
59.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) a) (/.f64 #s(literal 1/2 binary64) b)) a))
✓59.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
▶59.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
59.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
✓53.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
58.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
59.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a)))
52.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
▶53.0%
#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)))
59.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
Compiler

Compiled 1 596 to 1 089 computations (31.8% saved)

simplify185.0ms (2%)

Memory
18.4MiB live, 126.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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-diff8
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff0
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
cost-diff0
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
cost-diff0
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
cost-diff0
(/.f64 (PI.f64) a)
cost-diff0
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
cost-diff0
(*.f64 (*.f64 a a) b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
cost-diff0
#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)))
cost-diff0
(/.f64 (-.f64 b a) (*.f64 a b))
cost-diff0
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
cost-diff3
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff8
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 b a)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053314
080305
1173301
2526269
32015269
43697269
08522269
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 b a)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (-.f64 b a) (*.f64 a b))
(-.f64 b a)
b
a
(*.f64 a b)
(*.f64 #s(literal 2 binary64) (+.f64 a b))
#s(literal 2 binary64)
(+.f64 a b)
(/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 b a))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
#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 #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
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/.f64 (PI.f64) a)
(PI.f64)
a
#s(literal 1/2 binary64)
(*.f64 a b)
b
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
b
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(-.f64 b a)
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(*.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 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(*.f64 a b)
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) a) b) #s(literal 1/2 binary64))
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) b) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) a))
(/.f64 (-.f64 b a) (*.f64 a b))
(/.f64 (/.f64 (-.f64 b a) b) a)
(-.f64 b a)
b
a
(*.f64 a b)
(*.f64 #s(literal 2 binary64) (+.f64 a b))
(*.f64 (+.f64 a b) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 a b)
(/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 b a))
(/.f64 (PI.f64) (-.f64 b a))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
#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 #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
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 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) a) #s(literal 1/2 binary64)) (*.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/.f64 (PI.f64) a)
(PI.f64)
a
#s(literal 1/2 binary64)
(*.f64 a b)
b
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
b
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(-.f64 b a)
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) a) b) #s(literal 1/2 binary64))
(*.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 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) a) b)
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 a b))
(*.f64 a b)
#s(literal 2 binary64)

localize129.0ms (1.4%)

Memory
-10.7MiB live, 192.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.16015625
(*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
accuracy0.25390625
(/.f64 (PI.f64) (+.f64 a b))
accuracy0.2890625
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
accuracy0.7873538104041982
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
accuracy0.17416000976844204
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
accuracy0.22265625
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
accuracy0.27734375
(/.f64 (PI.f64) (-.f64 b a))
accuracy25.279639782142027
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
accuracy0.0
(PI.f64)
accuracy0.2216348223923018
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b))
accuracy0.30078125
(/.f64 (PI.f64) a)
accuracy25.72373603539687
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
accuracy0.2109375
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
accuracy0.32933814681201024
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
accuracy8.892986926180633
(*.f64 (*.f64 a a) b)
accuracy25.72373603539687
#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)))
accuracy0.27734375
(/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 b a))
accuracy1.0
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy1.0
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy14.583842036371461
(/.f64 (-.f64 b a) (*.f64 a b))
Samples
86.0ms256×0valid
Compiler

Compiled 284 to 47 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-div: 26.0ms (44.5% of total)
ival-mult: 22.0ms (37.7% of total)
ival-sub: 4.0ms (6.9% of total)
ival-cbrt: 2.0ms (3.4% of total)
ival-pow: 2.0ms (3.4% of total)
ival-pi: 1.0ms (1.7% of total)
ival-add: 1.0ms (1.7% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
13.1MiB live, 51.0MiB allocated
Counts
24 → 111
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 b a)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (-.f64 b a) (*.f64 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 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
(*.f64 (*.f64 a a) b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/.f64 (PI.f64) a)
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) a)
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 b a))
(/.f64 (PI.f64) (-.f64 b a))
(*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
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 (* a b))
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(* (pow a 2) b)
(* 1/2 (/ (PI) a))
(/ (PI) a)
(/ 1/2 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))
(+ (/ (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))
(* 2 (* a (pow b 2)))
(* a (+ (* -2 (* a b)) (* 2 (pow b 2))))
(/ (+ (* -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 (* a b))
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(* -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) (* -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 (/ (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)
(* -2 (* (pow a 2) b))
(* (pow a 2) (+ (* -2 b) (* 2 (/ (pow b 2) 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))
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a))
(+ (* -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 (/ (+ (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))
(/ (+ (* -1/2 (/ (* 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 (pow a 2)) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (/ b a) 1) 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))
(+ (* -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)))))
(* b (+ (* -2 (pow a 2)) (* 2 (* a 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))
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(- (+ (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)
(/ (+ (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)
(* (pow b 2) (+ (* -2 (/ (pow a 2) b)) (* 2 a)))
(/ (+ (* -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 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(+ (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 (/ (+ (* -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))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
b
@inf
((* (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (cbrt (pow (PI) 3)) (- b a))) (cbrt (pow (PI) 3)) (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (- b a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 (* (* a a) b)) (PI)) (/ 1/2 (* (* a a) b)) (* (* a a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) 1/2) (* a b)) (* (/ (PI) a) 1/2) (/ (PI) a) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ 1/2 a) b) (/ 1/2 a) (/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (pow (PI) 3) (/ (cbrt (pow (PI) 3)) (- b a)) (/ (PI) (- b a)) (* (- b a) (* (* a b) 2)))
4.0ms
b
@0
((* (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (cbrt (pow (PI) 3)) (- b a))) (cbrt (pow (PI) 3)) (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (- b a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 (* (* a a) b)) (PI)) (/ 1/2 (* (* a a) b)) (* (* a a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) 1/2) (* a b)) (* (/ (PI) a) 1/2) (/ (PI) a) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ 1/2 a) b) (/ 1/2 a) (/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (pow (PI) 3) (/ (cbrt (pow (PI) 3)) (- b a)) (/ (PI) (- b a)) (* (- b a) (* (* a b) 2)))
4.0ms
a
@-inf
((* (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (cbrt (pow (PI) 3)) (- b a))) (cbrt (pow (PI) 3)) (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (- b a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 (* (* a a) b)) (PI)) (/ 1/2 (* (* a a) b)) (* (* a a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) 1/2) (* a b)) (* (/ (PI) a) 1/2) (/ (PI) a) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ 1/2 a) b) (/ 1/2 a) (/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (pow (PI) 3) (/ (cbrt (pow (PI) 3)) (- b a)) (/ (PI) (- b a)) (* (- b a) (* (* a b) 2)))
3.0ms
a
@inf
((* (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (cbrt (pow (PI) 3)) (- b a))) (cbrt (pow (PI) 3)) (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (- b a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 (* (* a a) b)) (PI)) (/ 1/2 (* (* a a) b)) (* (* a a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) 1/2) (* a b)) (* (/ (PI) a) 1/2) (/ (PI) a) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ 1/2 a) b) (/ 1/2 a) (/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (pow (PI) 3) (/ (cbrt (pow (PI) 3)) (- b a)) (/ (PI) (- b a)) (* (- b a) (* (* a b) 2)))
3.0ms
a
@0
((* (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (cbrt (pow (PI) 3)) (- b a))) (cbrt (pow (PI) 3)) (/ (/ (- b a) (* a b)) (* 2 (+ a b))) (/ (- b a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 (* (* a a) b)) (PI)) (/ 1/2 (* (* a a) b)) (* (* a a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) 1/2) (* a b)) (* (/ (PI) a) 1/2) (/ (PI) a) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ 1/2 a) b) (/ 1/2 a) (/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (pow (PI) 3) (/ (cbrt (pow (PI) 3)) (- b a)) (/ (PI) (- b a)) (* (- b a) (* (* a b) 2)))

simplify178.0ms (2%)

Memory
-36.6MiB live, 265.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05582143
117921932
263171892
086691814
Stop Event
1×iter limit
1×node limit
Counts
111 → 111
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 (* a b))
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(* (pow a 2) b)
(* 1/2 (/ (PI) a))
(/ (PI) a)
(/ 1/2 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))
(+ (/ (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))
(* 2 (* a (pow b 2)))
(* a (+ (* -2 (* a b)) (* 2 (pow b 2))))
(/ (+ (* -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 (* a b))
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(* -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) (* -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 (/ (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)
(* -2 (* (pow a 2) b))
(* (pow a 2) (+ (* -2 b) (* 2 (/ (pow b 2) 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))
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a))
(+ (* -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 (/ (+ (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))
(/ (+ (* -1/2 (/ (* 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 (pow a 2)) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (/ b a) 1) 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))
(+ (* -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)))))
(* b (+ (* -2 (pow a 2)) (* 2 (* a 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))
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(- (+ (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)
(/ (+ (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)
(* (pow b 2) (+ (* -2 (/ (pow a 2) b)) (* 2 a)))
(/ (+ (* -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 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(+ (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 (/ (+ (* -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))
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 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a))) a)) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a)) a)
(/ 1/2 (* a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/.f64 (/.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1/2 binary64)) b) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) b) a (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) a (/.f64 #s(literal 1/2 binary64) b)) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ 1/2 (* (pow a 2) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(PI)
(PI.f64)
(+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))
(fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) b)) a (PI.f64))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
(fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) b) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b) (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 (-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 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 (neg.f64 (PI.f64)) b)) (/.f64 (PI.f64) b)) a (PI.f64))
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a)) b)
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) a) (/.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 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b)
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b) b) a (/.f64 (PI.f64) b))
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
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(* 2 (* a (pow b 2)))
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(/ (+ (* -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))
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(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) (neg.f64 b)) #s(literal 1 binary64)) b) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 b))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b)) b)))
(-.f64 (PI.f64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b) a (neg.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)))) 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)))
(-.f64 (PI.f64) (/.f64 (neg.f64 (fma.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b) (*.f64 a a) (*.f64 (neg.f64 a) (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (*.f64 (PI.f64) (*.f64 a (/.f64 a b)))) b) (PI.f64))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (neg.f64 a) (PI.f64) (/.f64 (fma.f64 (*.f64 (neg.f64 a) a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b)) (neg.f64 b))) b)) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 a (/.f64 a b)) (*.f64 (PI.f64) a)) b) (PI.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 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) b)) b)) (neg.f64 b))

rewrite172.0ms (1.9%)

Memory
15.6MiB live, 245.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053257
080248
1284244
22210244
08459244
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 923
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 b a)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (-.f64 b a) (*.f64 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 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
(*.f64 (*.f64 a a) b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/.f64 (PI.f64) a)
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) a)
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 b a))
(/.f64 (PI.f64) (-.f64 b a))
(*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
Outputs
(*.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (-.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) a) (PI.f64)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (*.f64 (-.f64 b a) a) b)) (/.f64 (-.f64 b a) #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) b)) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (/.f64 (-.f64 b a) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) (+.f64 a b)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64)) (*.f64 a b)) (-.f64 b a)) (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64)) (*.f64 a b)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64)) (*.f64 a b)) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64)) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64)) (*.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 #s(literal -2 binary64) (+.f64 a b))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a))
(*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))) #s(literal 2 binary64))) (*.f64 (neg.f64 a) b))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))) (*.f64 a b))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))) a)) (neg.f64 (*.f64 #s(literal 2 binary64) b)))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (*.f64 (-.f64 b a) a) b))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (-.f64 b a))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)) (+.f64 a b))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)) #s(literal 2 binary64))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))) (neg.f64 (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))) (*.f64 (neg.f64 a) b))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64)) (*.f64 a b)))) (-.f64 b a))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64)) (*.f64 a b)) (-.f64 b a)))) (neg.f64 (neg.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64)) (*.f64 a b)) (-.f64 b a)))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))) (-.f64 b a))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64)) (*.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (PI.f64) (-.f64 b a)))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (-.f64 b a)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (neg.f64 (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))) (*.f64 (neg.f64 a) b))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (-.f64 b a))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b))))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64)) (*.f64 a b)))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (-.f64 b a) a))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)) (neg.f64 (PI.f64)))) (-.f64 b a))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a))) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))) (neg.f64 (*.f64 (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) (*.f64 (+.f64 a b) (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (PI.f64))) (neg.f64 (*.f64 (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (+.f64 a b) (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (PI.f64))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))))
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(neg.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
(*.f64 (/.f64 (PI.f64) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a (*.f64 b (-.f64 b a))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 a b)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (+.f64 a b)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 (+.f64 a b))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (+.f64 a b)))
(/.f64 (PI.f64) (+.f64 a b))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (+.f64 a b)))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (+.f64 a b))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (neg.f64 (PI.f64))) (sqrt.f64 (neg.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (PI.f64)))
(pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (neg.f64 (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64))))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(*.f64 (neg.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (PI.f64))
(*.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (PI.f64) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 3/2 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (PI.f64)))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))))
(fabs.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 3/2 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 2 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
(log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 (/.f64 (PI.f64) (-.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 (PI.f64) (+.f64 a b)) (-.f64 b a)) (+.f64 a b))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 b a)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (-.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (-.f64 b a))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (-.f64 b a))
(/.f64 (neg.f64 (PI.f64)) (-.f64 b a))
(/.f64 (PI.f64) (-.f64 b a))
(neg.f64 (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (-.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 (PI.f64) (+.f64 a b)) (-.f64 b a)) (+.f64 a b))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 b a)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (-.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (-.f64 b a))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (-.f64 b a))
(/.f64 (neg.f64 (PI.f64)) (-.f64 b a))
(/.f64 (PI.f64) (-.f64 b a))
(neg.f64 (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))
(*.f64 (*.f64 (-.f64 b a) a) (*.f64 #s(literal 2 binary64) b))
(*.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) a) b)) #s(literal 2 binary64))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b))) (-.f64 b a))
(*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (-.f64 b a))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 b a) a) b))
(*.f64 (*.f64 a b) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
(*.f64 (-.f64 b a) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b))))
(*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 a (*.f64 (*.f64 #s(literal 2 binary64) b) (-.f64 b a)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (neg.f64 (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (neg.f64 (+.f64 a b)))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (+.f64 a b))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (-.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 2 binary64) (*.f64 a b)) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(neg.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)))

eval87.0ms (1%)

Memory
27.6MiB live, 188.7MiB allocated
Compiler

Compiled 21 512 to 2 800 computations (87% saved)

prune41.0ms (0.4%)

Memory
-28.9MiB live, 91.7MiB allocated
Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New72210732
Fresh91423
Picked415
Done134
Total73628764
Accuracy
100.0%
Counts
764 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.3%
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (PI.f64) (-.f64 b a))) (+.f64 a b)) (*.f64 #s(literal 2 binary64) b))
99.6%
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (-.f64 b a))
82.7%
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) #s(approx (* (- b a) (* (* a b) 2)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 b b) a))) a) a)))
✓85.4%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
48.9%
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) #s(approx (* (- b a) (* (* (+ a b) 2) b)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)))
83.5%
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (+.f64 a b))))
73.5%
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
✓54.5%
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
68.8%
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
72.9%
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
66.4%
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
67.8%
(/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
99.4%
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (-.f64 b a)))
60.6%
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) #s(approx (- b a) (neg.f64 a))))
73.5%
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
58.5%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
59.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b))
59.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
52.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a a)))
47.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
✓59.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
59.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
✓53.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
58.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
59.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a)))
59.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
59.4%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
59.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
Compiler

Compiled 2 554 to 825 computations (67.7% saved)

regimes107.0ms (1.2%)

Memory
-10.6MiB live, 114.7MiB allocated
Counts
67 → 1
Calls
Call 1
Inputs
#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)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (neg.f64 (PI.f64)) b)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
(/.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (+.f64 a b))))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) #s(approx (* (- b a) (* (* (+ a b) 2) b)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.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 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64))
(/.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 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))) (-.f64 b a))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) #s(approx (- b a) (neg.f64 a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (-.f64 b a))
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (PI.f64) (-.f64 b a))) (+.f64 a b)) (*.f64 #s(literal 2 binary64) b))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) (*.f64 (-.f64 b a) #s(approx (* (* (+ a b) 2) b) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 b (/.f64 (*.f64 b b) a))))))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) #s(approx (* (- b a) (* (* a b) 2)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 b b) a))) a) a)))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (-.f64 b a) a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 b a)))
Outputs
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (-.f64 b a))
Calls

3 calls:

64.0ms
b
18.0ms
a
16.0ms
(*.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)

regimes64.0ms (0.7%)

Memory
19.4MiB live, 55.9MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
#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)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (neg.f64 (PI.f64)) b)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
(/.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (+.f64 a b))))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) #s(approx (* (- b a) (* (* (+ a b) 2) b)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.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 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64))
(/.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 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))) (-.f64 b a))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) #s(approx (- b a) (neg.f64 a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
Outputs
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
Calls

3 calls:

26.0ms
b
14.0ms
a
12.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.5%1a
99.5%1b
99.5%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes71.0ms (0.8%)

Memory
-2.0MiB live, 34.9MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
#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)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (neg.f64 (PI.f64)) b)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
(/.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (+.f64 a b))))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) #s(approx (* (- b a) (* (* (+ a b) 2) b)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.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 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64))
(/.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 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))) (-.f64 b a))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) #s(approx (- b a) (neg.f64 a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a))
Outputs
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
Calls

3 calls:

44.0ms
a
14.0ms
b
12.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
98.6%1a
98.6%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)))
98.6%1b
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes60.0ms (0.7%)

Memory
13.1MiB live, 48.3MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
#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)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (neg.f64 (PI.f64)) b)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
(/.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (+.f64 a b))))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) #s(approx (* (- b a) (* (* (+ a b) 2) b)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.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 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
Outputs
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (PI.f64) (-.f64 b a)))
Calls

3 calls:

35.0ms
b
12.0ms
a
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
98.6%1a
98.6%1b
98.6%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)

regimes60.0ms (0.7%)

Memory
14.3MiB live, 60.0MiB allocated
Counts
39 → 4
Calls
Call 1
Inputs
#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)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (neg.f64 (PI.f64)) b)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
(/.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (+.f64 a b))))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) #s(approx (* (- b a) (* (* (+ a b) 2) b)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.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 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
Outputs
(*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
Calls

3 calls:

36.0ms
(*.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)))
11.0ms
b
11.0ms
a
Results
AccuracySegmentsBranch
94.0%4b
89.8%3(*.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)))
95.9%4a
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes18.0ms (0.2%)

Memory
-7.4MiB live, 32.2MiB allocated
Counts
38 → 4
Calls
Call 1
Inputs
#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)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (neg.f64 (PI.f64)) b)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
(/.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (+.f64 a b))))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) #s(approx (* (- b a) (* (* (+ a b) 2) b)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.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 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
Outputs
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
Calls

1 calls:

11.0ms
a
Results
AccuracySegmentsBranch
95.9%4a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes39.0ms (0.4%)

Memory
-23.0MiB live, 15.9MiB allocated
Counts
32 → 4
Calls
Call 1
Inputs
#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)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (neg.f64 (PI.f64)) b)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
(/.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (+.f64 a b))))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) #s(approx (* (- b a) (* (* (+ a b) 2) b)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)))
Outputs
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
Calls

1 calls:

37.0ms
a
Results
AccuracySegmentsBranch
95.9%4a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#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)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (neg.f64 (PI.f64)) b)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
(/.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
Outputs
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
Calls

1 calls:

9.0ms
a
Results
AccuracySegmentsBranch
93.3%3a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#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)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (neg.f64 (PI.f64)) b)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
Outputs
(/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
Calls

1 calls:

7.0ms
a
Results
AccuracySegmentsBranch
93.2%3a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#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)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
Calls

2 calls:

5.0ms
b
5.0ms
a
Results
AccuracySegmentsBranch
90.9%3b
91.2%3a
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes36.0ms (0.4%)

Memory
-23.1MiB live, 16.1MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#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)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
Outputs
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
Calls

2 calls:

30.0ms
a
5.0ms
b
Results
AccuracySegmentsBranch
90.9%3b
89.5%3a
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#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)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
Outputs
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
90.9%3b
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#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)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
Outputs
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
90.6%3b
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#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)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
Calls

3 calls:

2.0ms
a
2.0ms
b
2.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
83.5%3a
67.7%3(*.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)))
80.3%3b
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes14.0ms (0.2%)

Memory
-32.5MiB live, 9.6MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#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)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #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 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
Calls

3 calls:

2.0ms
a
2.0ms
b
2.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
59.5%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
59.5%1b
59.5%1a
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes5.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#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)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #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 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
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
59.4%1a
59.4%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)))
59.4%1b
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0%)

Memory
6.5MiB live, 6.5MiB 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 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
Outputs
#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)))
Calls

3 calls:

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
1.0ms
a
Results
AccuracySegmentsBranch
53.0%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)))
53.0%1a
53.0%1b
Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch133.0ms (1.5%)

Memory
-10.1MiB live, 102.0MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
4.2769410987317993e+52
2.4156602407124323e+62
34.0ms
2.1749058728665008e-191
2.0998634280577363e-188
26.0ms
-41694.09575906421
-2.3799891499766277e-20
Samples
62.0ms464×0valid
Compiler

Compiled 1 244 to 894 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-sub: 22.0ms (42.8% of total)
ival-div: 16.0ms (31.2% of total)
ival-mult: 11.0ms (21.4% of total)
ival-pi: 2.0ms (3.9% of total)
exact: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.2769410987317993e+52
2.4156602407124323e+62
1.0ms
2.1749058728665008e-191
2.0998634280577363e-188
1.0ms
-41694.09575906421
-2.3799891499766277e-20
Compiler

Compiled 1 328 to 936 computations (29.5% saved)

bsearch8.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Algorithm
3×binary-search
Stop Event
1×predicate-same
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
4.0ms
4.2769410987317993e+52
2.4156602407124323e+62
1.0ms
2.1749058728665008e-191
2.0998634280577363e-188
1.0ms
-41694.09575906421
-2.3799891499766277e-20
Samples
3.0ms32×0valid
Compiler

Compiled 1 064 to 750 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (49.5% of total)
ival-mult: 1.0ms (49.5% of total)
ival-pi: 0.0ms (0% of total)
ival-sub: 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)

bsearch37.0ms (0.4%)

Memory
-23.1MiB live, 22.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
33.0ms
1.191086887454155e-40
1.5777521731727013e-38
1.0ms
-41694.09575906421
-2.3799891499766277e-20
Samples
29.0ms112×0valid
Compiler

Compiled 888 to 632 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 21.0ms (80.1% of total)
ival-div: 3.0ms (11.4% of total)
ival-sub: 1.0ms (3.8% 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)

bsearch66.0ms (0.7%)

Memory
15.7MiB live, 51.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
43.0ms
1.191086887454155e-40
1.5777521731727013e-38
18.0ms
-41694.09575906421
-2.3799891499766277e-20
Samples
52.0ms240×0valid
Compiler

Compiled 834 to 614 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-pi: 32.0ms (68.9% of total)
ival-div: 6.0ms (12.9% of total)
ival-mult: 5.0ms (10.8% of total)
ival-sub: 2.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch72.0ms (0.8%)

Memory
20.6MiB live, 58.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
53.0ms
1477297639.3155031
3.396448090261519e+19
15.0ms
-41694.09575906421
-2.3799891499766277e-20
Samples
56.0ms272×0valid
Compiler

Compiled 1 158 to 839 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 39.0ms (78.6% of total)
ival-div: 7.0ms (14.1% of total)
ival-sub: 2.0ms (4% of total)
ival-pi: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch72.0ms (0.8%)

Memory
-28.9MiB live, 51.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
30.0ms
7.695078259743405e-160
8.02977152213582e-154
38.0ms
-8.999137973201488e-46
-4.529922751282194e-49
Samples
35.0ms272×0valid
Compiler

Compiled 908 to 683 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 18.0ms (62.5% of total)
ival-div: 7.0ms (24.3% of total)
ival-sub: 2.0ms (6.9% of total)
ival-pi: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.695078259743405e-160
8.02977152213582e-154
1.0ms
-8.999137973201488e-46
-4.529922751282194e-49
Compiler

Compiled 908 to 683 computations (24.8% saved)

bsearch3.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.695078259743405e-160
8.02977152213582e-154
1.0ms
-8.999137973201488e-46
-4.529922751282194e-49
Compiler

Compiled 908 to 683 computations (24.8% saved)

bsearch12.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
1.191086887454155e-40
1.5777521731727013e-38
2.0ms
-41694.09575906421
-2.3799891499766277e-20
Samples
6.0ms64×0valid
Compiler

Compiled 1 104 to 794 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (49.3% of total)
ival-sub: 1.0ms (24.7% of total)
ival-mult: 1.0ms (24.7% 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)

simplify120.0ms (1.3%)

Memory
-8.9MiB live, 102.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0151929
1226911
2440855
31307783
47089783
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (-.f64 b a))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (PI.f64) (-.f64 b a)))
(if (<=.f64 a #s(literal -2553251331026097/77371252455336267181195264 binary64)) (*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (if (<=.f64 a #s(literal 4013165208090495/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (if (<=.f64 a #s(literal 419999999999999968038239129476388816187586133754418707824640 binary64)) (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))) (*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))))))
(if (<=.f64 a #s(literal -2553251331026097/77371252455336267181195264 binary64)) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a))) (if (<=.f64 a #s(literal 4013165208090495/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (if (<=.f64 a #s(literal 419999999999999968038239129476388816187586133754418707824640 binary64)) (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a))))))
(if (<=.f64 a #s(literal -2553251331026097/77371252455336267181195264 binary64)) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a))) (if (<=.f64 a #s(literal 4013165208090495/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (if (<=.f64 a #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a))))))
(if (<=.f64 a #s(literal -2553251331026097/77371252455336267181195264 binary64)) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a))) (if (<=.f64 a #s(literal 1628276512170007/191561942608236107294793378393788647952342390272950272 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))))
(if (<=.f64 a #s(literal -1882207611218875/324518553658426726783156020576256 binary64)) (/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))) (if (<=.f64 a #s(literal 7601177882694809/49039857307708443467467104868809893875799651909875269632 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))))
(if (<=.f64 a #s(literal -3022314549036573/151115727451828646838272 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) (if (<=.f64 a #s(literal 66000000000000000 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))))
(if (<=.f64 b #s(literal -8484632873687469/51422017416287688817342786954917203280710495801049370729644032 binary64)) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 3019169939857233/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b))) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal -8484632873687469/51422017416287688817342786954917203280710495801049370729644032 binary64)) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 3019169939857233/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal -8484632873687469/51422017416287688817342786954917203280710495801049370729644032 binary64)) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 3019169939857233/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a))) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -3022314549036573/151115727451828646838272 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a))) (if (<=.f64 a #s(literal 5746858278247083/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
Outputs
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (-.f64 b a))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (PI.f64) (-.f64 b a)))
(if (<=.f64 a #s(literal -2553251331026097/77371252455336267181195264 binary64)) (*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (if (<=.f64 a #s(literal 4013165208090495/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (if (<=.f64 a #s(literal 419999999999999968038239129476388816187586133754418707824640 binary64)) (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))) (*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))))))
(if (<=.f64 a #s(literal -2553251331026097/77371252455336267181195264 binary64)) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a))) (if (<=.f64 a #s(literal 4013165208090495/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (if (<=.f64 a #s(literal 419999999999999968038239129476388816187586133754418707824640 binary64)) (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a))))))
(if (<=.f64 a #s(literal -2553251331026097/77371252455336267181195264 binary64)) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a))) (if (<=.f64 a #s(literal 4013165208090495/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (if (<=.f64 a #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 a (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a))))))
(if (<=.f64 a #s(literal -2553251331026097/77371252455336267181195264 binary64)) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a))) (if (<=.f64 a #s(literal 1628276512170007/191561942608236107294793378393788647952342390272950272 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))))
(if (or (<=.f64 a #s(literal -2553251331026097/77371252455336267181195264 binary64)) (not (<=.f64 a #s(literal 1628276512170007/191561942608236107294793378393788647952342390272950272 binary64)))) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
(if (<=.f64 a #s(literal -1882207611218875/324518553658426726783156020576256 binary64)) (/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))) (if (<=.f64 a #s(literal 7601177882694809/49039857307708443467467104868809893875799651909875269632 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))))
(if (or (<=.f64 a #s(literal -1882207611218875/324518553658426726783156020576256 binary64)) (not (<=.f64 a #s(literal 7601177882694809/49039857307708443467467104868809893875799651909875269632 binary64)))) (/.f64 #s(approx (* (PI) (/ (- b a) a)) (neg.f64 (PI.f64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
(if (<=.f64 a #s(literal -3022314549036573/151115727451828646838272 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) (if (<=.f64 a #s(literal 66000000000000000 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))))
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(if (<=.f64 b #s(literal -8484632873687469/51422017416287688817342786954917203280710495801049370729644032 binary64)) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 3019169939857233/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b))) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))))
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#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))

soundness1.9s (20.7%)

Memory
-4.1MiB live, 1 361.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045226
071226
1281222
22529222
09127222
02911145
19051099
235331055
085221011
06802697
123472274
095452171
05582143
117921932
263171892
086691814
06012408
119872050
082911959
051259
078259
1284255
22272255
08344255
053257
080248
1284244
22210244
08459244
01554
02654
111250
298050
0891250
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 2 522 to 1 223 computations (51.5% saved)

preprocess103.0ms (1.1%)

Memory
8.0MiB live, 157.7MiB allocated
Compiler

Compiled 1 864 to 316 computations (83% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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